id	sid	tid	token	lemma	pos
ddj-119	1	1	dna	dna	PROPN
ddj-119	1	2	decipher	decipher	PROPN
ddj-119	1	3	journal	journal	PROPN
ddj-119	1	4	|	|	ADP
ddj-119	1	5	july	july	PROPN
ddj-119	1	6	2017	2017	NUM
ddj-119	1	7	|	|	ADV
ddj-119	1	8	volume	volume	NOUN
ddj-119	1	9	7	7	NUM
ddj-119	1	10	|	|	NOUN
ddj-119	1	11	issue	issue	VERB
ddj-119	1	12	1	1	NUM
ddj-119	1	13	|	|	CCONJ
ddj-119	1	14	pp	pp	ADJ
ddj-119	1	15	.	.	PUNCT
ddj-119	2	1	17	17	NUM
ddj-119	2	2	-	-	SYM
ddj-119	2	3	26	26	NUM
ddj-119	2	4	vary	vary	NOUN
ddj-119	2	5	,	,	PUNCT
ddj-119	2	6	a.	a.	NOUN
ddj-119	2	7	,	,	PUNCT
ddj-119	2	8	fibonacci	fibonacci	NOUN
ddj-119	2	9	sunflowers	sunflower	NOUN
ddj-119	2	10	,	,	PUNCT
ddj-119	2	11	mathematical	mathematical	ADJ
ddj-119	2	12	objects	object	NOUN
ddj-119	2	13	&	&	CCONJ
ddj-119	2	14	cubic	cubic	ADJ
ddj-119	2	15	electrons	electron	NOUN
ddj-119	2	16	issn	issn	NOUN
ddj-119	2	17	:	:	PUNCT
ddj-119	2	18	2159	2159	NUM
ddj-119	2	19	-	-	PUNCT
ddj-119	2	20	046x	046x	NOUN
ddj-119	2	21	dna	dna	NOUN
ddj-119	2	22	decipher	decipher	PROPN
ddj-119	2	23	journal	journal	NOUN
ddj-119	2	24	published	publish	VERB
ddj-119	2	25	by	by	ADP
ddj-119	2	26	quantumdream	quantumdream	PROPN
ddj-119	2	27	,	,	PUNCT
ddj-119	2	28	inc	inc	PROPN
ddj-119	2	29	.	.	PROPN
ddj-119	2	30	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-119	2	31	17	17	NUM
ddj-119	2	32	article	article	NOUN
ddj-119	2	33	fibonacci	fibonacci	NOUN
ddj-119	2	34	sunflowers	sunflower	NOUN
ddj-119	2	35	,	,	PUNCT
ddj-119	2	36	mathematical	mathematical	ADJ
ddj-119	2	37	objects	object	NOUN
ddj-119	2	38	&	&	CCONJ
ddj-119	2	39	cubic	cubic	ADJ
ddj-119	2	40	electrons	electron	NOUN
ddj-119	2	41	alex	alex	PROPN
ddj-119	2	42	vary	vary	NOUN
ddj-119	2	43	*	*	PUNCT
ddj-119	3	1	abstract	abstract	ADJ
ddj-119	3	2	we	we	PRON
ddj-119	3	3	examine	examine	VERB
ddj-119	3	4	the	the	DET
ddj-119	3	5	uncanny	uncanny	ADJ
ddj-119	3	6	involvement	involvement	NOUN
ddj-119	3	7	and	and	CCONJ
ddj-119	3	8	influence	influence	NOUN
ddj-119	3	9	of	of	ADP
ddj-119	3	10	mathematical	mathematical	ADJ
ddj-119	3	11	truths	truth	NOUN
ddj-119	3	12	on	on	ADP
ddj-119	3	13	the	the	DET
ddj-119	3	14	minutest	minute	ADJ
ddj-119	3	15	and	and	CCONJ
ddj-119	3	16	largest	large	ADJ
ddj-119	3	17	properties	property	NOUN
ddj-119	3	18	and	and	CCONJ
ddj-119	3	19	phenomena	phenomenon	NOUN
ddj-119	3	20	of	of	ADP
ddj-119	3	21	the	the	DET
ddj-119	3	22	physical	physical	ADJ
ddj-119	3	23	world	world	NOUN
ddj-119	3	24	and	and	CCONJ
ddj-119	3	25	the	the	DET
ddj-119	3	26	remarkable	remarkable	ADJ
ddj-119	3	27	effectiveness	effectiveness	NOUN
ddj-119	3	28	of	of	ADP
ddj-119	3	29	mathematics	mathematic	NOUN
ddj-119	3	30	in	in	ADP
ddj-119	3	31	describing	describe	VERB
ddj-119	3	32	and	and	CCONJ
ddj-119	3	33	predicting	predict	VERB
ddj-119	3	34	natural	natural	ADJ
ddj-119	3	35	phenomena	phenomenon	NOUN
ddj-119	3	36	.	.	PUNCT
ddj-119	4	1	indeed	indeed	ADV
ddj-119	4	2	,	,	PUNCT
ddj-119	4	3	mathematics	mathematic	VERB
ddj-119	4	4	a	a	DET
ddj-119	4	5	vast	vast	ADJ
ddj-119	4	6	and	and	CCONJ
ddj-119	4	7	ingenious	ingenious	ADJ
ddj-119	4	8	conceptual	conceptual	ADJ
ddj-119	4	9	structure	structure	NOUN
ddj-119	4	10	without	without	ADP
ddj-119	4	11	empirical	empirical	ADJ
ddj-119	4	12	content	content	NOUN
ddj-119	4	13	is	be	AUX
ddj-119	4	14	an	an	DET
ddj-119	4	15	indispensable	indispensable	ADJ
ddj-119	4	16	and	and	CCONJ
ddj-119	4	17	powerful	powerful	ADJ
ddj-119	4	18	theoretical	theoretical	ADJ
ddj-119	4	19	instrument	instrument	NOUN
ddj-119	4	20	for	for	ADP
ddj-119	4	21	the	the	DET
ddj-119	4	22	scientific	scientific	ADJ
ddj-119	4	23	understanding	understanding	NOUN
ddj-119	4	24	of	of	ADP
ddj-119	4	25	virtually	virtually	ADV
ddj-119	4	26	every	every	DET
ddj-119	4	27	aspect	aspect	NOUN
ddj-119	4	28	of	of	ADP
ddj-119	4	29	the	the	DET
ddj-119	4	30	physical	physical	ADJ
ddj-119	4	31	world	world	NOUN
ddj-119	4	32	.	.	PUNCT
ddj-119	5	1	selected	select	VERB
ddj-119	5	2	examples	example	NOUN
ddj-119	5	3	show	show	VERB
ddj-119	5	4	the	the	DET
ddj-119	5	5	remarkable	remarkable	ADJ
ddj-119	5	6	associations	association	NOUN
ddj-119	5	7	among	among	ADP
ddj-119	5	8	specific	specific	ADJ
ddj-119	5	9	mathematical	mathematical	ADJ
ddj-119	5	10	objects	object	NOUN
ddj-119	5	11	and	and	CCONJ
ddj-119	5	12	macroscopic	macroscopic	ADJ
ddj-119	5	13	and	and	CCONJ
ddj-119	5	14	quantum	quantum	ADJ
ddj-119	5	15	matter	matter	NOUN
ddj-119	5	16	and	and	CCONJ
ddj-119	5	17	phenomena	phenomenon	NOUN
ddj-119	5	18	.	.	PUNCT
ddj-119	6	1	keywords	keyword	NOUN
ddj-119	6	2	:	:	PUNCT
ddj-119	6	3	mathematical	mathematical	ADJ
ddj-119	6	4	object	object	NOUN
ddj-119	6	5	,	,	PUNCT
ddj-119	6	6	euler	euler	NOUN
ddj-119	6	7	's	's	PART
ddj-119	6	8	identity	identity	NOUN
ddj-119	6	9	fibonacci	fibonacci	NOUN
ddj-119	6	10	sequence	sequence	NOUN
ddj-119	6	11	,	,	PUNCT
ddj-119	6	12	golden	golden	ADJ
ddj-119	6	13	ratio	ratio	NOUN
ddj-119	6	14	,	,	PUNCT
ddj-119	6	15	wave	wave	NOUN
ddj-119	6	16	-	-	PUNCT
ddj-119	6	17	particle	particle	NOUN
ddj-119	6	18	,	,	PUNCT
ddj-119	6	19	duality	duality	NOUN
ddj-119	6	20	,	,	PUNCT
ddj-119	6	21	heavy	heavy	ADJ
ddj-119	6	22	electrons	electron	NOUN
ddj-119	6	23	,	,	PUNCT
ddj-119	6	24	higgs	higgs	PROPN
ddj-119	6	25	boson	boson	PROPN
ddj-119	6	26	.	.	PUNCT
ddj-119	7	1	introduction	introduction	NOUN
ddj-119	7	2	space	space	NOUN
ddj-119	7	3	and	and	CCONJ
ddj-119	7	4	time	time	NOUN
ddj-119	7	5	have	have	AUX
ddj-119	7	6	been	be	AUX
ddj-119	7	7	assigned	assign	VERB
ddj-119	7	8	aspects	aspect	NOUN
ddj-119	7	9	of	of	ADP
ddj-119	7	10	empirical	empirical	ADJ
ddj-119	7	11	reality	reality	NOUN
ddj-119	7	12	by	by	ADP
ddj-119	7	13	geometers	geometer	NOUN
ddj-119	7	14	who	who	PRON
ddj-119	7	15	invented	invent	VERB
ddj-119	7	16	the	the	DET
ddj-119	7	17	language	language	NOUN
ddj-119	7	18	and	and	CCONJ
ddj-119	7	19	algebra	algebra	NOUN
ddj-119	7	20	of	of	ADP
ddj-119	7	21	dimensionality	dimensionality	NOUN
ddj-119	7	22	.	.	PUNCT
ddj-119	8	1	prior	prior	ADV
ddj-119	8	2	to	to	ADP
ddj-119	8	3	that	that	PRON
ddj-119	8	4	,	,	PUNCT
ddj-119	8	5	space	space	NOUN
ddj-119	8	6	and	and	CCONJ
ddj-119	8	7	time	time	NOUN
ddj-119	8	8	were	be	AUX
ddj-119	8	9	indifferently	indifferently	ADV
ddj-119	8	10	perceived	perceive	VERB
ddj-119	8	11	as	as	ADP
ddj-119	8	12	amorphous	amorphous	ADJ
ddj-119	8	13	realities	reality	NOUN
ddj-119	8	14	,	,	PUNCT
ddj-119	8	15	devoid	devoid	ADJ
ddj-119	8	16	of	of	ADP
ddj-119	8	17	metrics	metric	NOUN
ddj-119	8	18	.	.	PUNCT
ddj-119	9	1	initially	initially	ADV
ddj-119	9	2	a	a	DET
ddj-119	9	3	tabulae	tabulae	NOUN
ddj-119	9	4	rasae	rasae	NOUN
ddj-119	9	5	,	,	PUNCT
ddj-119	9	6	with	with	ADP
ddj-119	9	7	metrics	metric	NOUN
ddj-119	9	8	,	,	PUNCT
ddj-119	9	9	space	space	NOUN
ddj-119	9	10	and	and	CCONJ
ddj-119	9	11	time	time	NOUN
ddj-119	9	12	became	become	VERB
ddj-119	9	13	mathematical	mathematical	ADJ
ddj-119	9	14	objects	object	NOUN
ddj-119	9	15	,	,	PUNCT
ddj-119	9	16	e.g.	e.g.	ADV
ddj-119	9	17	,	,	PUNCT
ddj-119	9	18	geometric	geometric	ADJ
ddj-119	9	19	manifolds	manifold	NOUN
ddj-119	9	20	with	with	ADP
ddj-119	9	21	measurable	measurable	ADJ
ddj-119	9	22	attributes	attribute	NOUN
ddj-119	9	23	:	:	PUNCT
ddj-119	9	24	shapes	shape	NOUN
ddj-119	9	25	,	,	PUNCT
ddj-119	9	26	distances	distance	NOUN
ddj-119	9	27	,	,	PUNCT
ddj-119	9	28	topology	topology	NOUN
ddj-119	9	29	,	,	PUNCT
ddj-119	9	30	intervals	interval	NOUN
ddj-119	9	31	.	.	PUNCT
ddj-119	10	1	euclid	euclid	PROPN
ddj-119	10	2	and	and	CCONJ
ddj-119	10	3	other	other	ADJ
ddj-119	10	4	ancient	ancient	ADJ
ddj-119	10	5	geometers	geometer	NOUN
ddj-119	10	6	gave	give	VERB
ddj-119	10	7	spatial	spatial	ADJ
ddj-119	10	8	dimensions	dimension	NOUN
ddj-119	10	9	axiomatic	axiomatic	ADJ
ddj-119	10	10	meaning	meaning	NOUN
ddj-119	10	11	by	by	ADP
ddj-119	10	12	positing	posit	VERB
ddj-119	10	13	mathematical	mathematical	ADJ
ddj-119	10	14	objects	object	NOUN
ddj-119	10	15	such	such	ADJ
ddj-119	10	16	as	as	ADP
ddj-119	10	17	lines	line	NOUN
ddj-119	10	18	,	,	PUNCT
ddj-119	10	19	triangles	triangle	NOUN
ddj-119	10	20	,	,	PUNCT
ddj-119	10	21	circles	circle	NOUN
ddj-119	10	22	,	,	PUNCT
ddj-119	10	23	spheres	sphere	NOUN
ddj-119	10	24	,	,	PUNCT
ddj-119	10	25	cubes	cube	NOUN
ddj-119	10	26	and	and	CCONJ
ddj-119	10	27	other	other	ADJ
ddj-119	10	28	regular	regular	ADJ
ddj-119	10	29	and	and	CCONJ
ddj-119	10	30	irregular	irregular	ADJ
ddj-119	10	31	geometric	geometric	ADJ
ddj-119	10	32	solids	solid	NOUN
ddj-119	10	33	.	.	PUNCT
ddj-119	11	1	descartes	descartes	PROPN
ddj-119	11	2	recognized	recognize	VERB
ddj-119	11	3	relations	relation	NOUN
ddj-119	11	4	among	among	ADP
ddj-119	11	5	geometric	geometric	ADJ
ddj-119	11	6	points	point	NOUN
ddj-119	11	7	and	and	CCONJ
ddj-119	11	8	temporal	temporal	ADJ
ddj-119	11	9	instances	instance	NOUN
ddj-119	11	10	,	,	PUNCT
ddj-119	11	11	giving	give	VERB
ddj-119	11	12	them	they	PRON
ddj-119	11	13	meaning	meaning	NOUN
ddj-119	11	14	by	by	ADP
ddj-119	11	15	means	mean	NOUN
ddj-119	11	16	of	of	ADP
ddj-119	11	17	algebraical	algebraical	ADJ
ddj-119	11	18	coordinates	coordinate	NOUN
ddj-119	11	19	and	and	CCONJ
ddj-119	11	20	equations	equation	NOUN
ddj-119	11	21	.	.	PUNCT
ddj-119	12	1	this	this	PRON
ddj-119	12	2	was	be	AUX
ddj-119	12	3	followed	follow	VERB
ddj-119	12	4	by	by	ADP
ddj-119	12	5	the	the	DET
ddj-119	12	6	notion	notion	NOUN
ddj-119	12	7	of	of	ADP
ddj-119	12	8	multi	multi	ADJ
ddj-119	12	9	-	-	ADJ
ddj-119	12	10	dimensional	dimensional	ADJ
ddj-119	12	11	spaces	space	NOUN
ddj-119	12	12	.	.	PUNCT
ddj-119	13	1	then	then	ADV
ddj-119	13	2	,	,	PUNCT
ddj-119	13	3	theoretical	theoretical	ADJ
ddj-119	13	4	physicists	physicist	NOUN
ddj-119	13	5	elaborated	elaborate	VERB
ddj-119	13	6	on	on	ADP
ddj-119	13	7	the	the	DET
ddj-119	13	8	geometric	geometric	ADJ
ddj-119	13	9	details	detail	NOUN
ddj-119	13	10	by	by	ADP
ddj-119	13	11	imbuing	imbue	VERB
ddj-119	13	12	space	space	NOUN
ddj-119	13	13	and	and	CCONJ
ddj-119	13	14	time	time	NOUN
ddj-119	13	15	with	with	ADP
ddj-119	13	16	material	material	NOUN
ddj-119	13	17	meanings	meaning	NOUN
ddj-119	13	18	and	and	CCONJ
ddj-119	13	19	properties	property	NOUN
ddj-119	13	20	.	.	PUNCT
ddj-119	14	1	accordingly	accordingly	ADV
ddj-119	14	2	,	,	PUNCT
ddj-119	14	3	synthetical	synthetical	ADJ
ddj-119	14	4	spaces	space	NOUN
ddj-119	14	5	ostensibly	ostensibly	ADV
ddj-119	14	6	produce	produce	VERB
ddj-119	14	7	quantum	quantum	ADJ
ddj-119	14	8	particles	particle	NOUN
ddj-119	14	9	,	,	PUNCT
ddj-119	14	10	quantum	quantum	ADJ
ddj-119	14	11	waves	wave	NOUN
ddj-119	14	12	and	and	CCONJ
ddj-119	14	13	force	force	NOUN
ddj-119	14	14	fields	field	NOUN
ddj-119	14	15	that	that	PRON
ddj-119	14	16	interact	interact	VERB
ddj-119	14	17	energetically	energetically	ADV
ddj-119	14	18	,	,	PUNCT
ddj-119	14	19	stochastically	stochastically	ADV
ddj-119	14	20	,	,	PUNCT
ddj-119	14	21	and	and	CCONJ
ddj-119	14	22	periodically	periodically	ADV
ddj-119	14	23	in	in	ADP
ddj-119	14	24	synthetical	synthetical	ADJ
ddj-119	14	25	time	time	NOUN
ddj-119	14	26	.	.	PUNCT
ddj-119	15	1	euclidian	euclidian	ADJ
ddj-119	15	2	geometric	geometric	ADJ
ddj-119	15	3	space	space	NOUN
ddj-119	15	4	and	and	CCONJ
ddj-119	15	5	various	various	ADJ
ddj-119	15	6	non	non	ADJ
ddj-119	15	7	-	-	ADJ
ddj-119	15	8	euclidian	euclidian	ADJ
ddj-119	15	9	abstract	abstract	ADJ
ddj-119	15	10	spaces	space	NOUN
ddj-119	15	11	of	of	ADP
ddj-119	15	12	gauss	gauss	ADJ
ddj-119	15	13	,	,	PUNCT
ddj-119	15	14	lobachevsky	lobachevsky	NOUN
ddj-119	15	15	,	,	PUNCT
ddj-119	15	16	bolyai	bolyai	NOUN
ddj-119	15	17	,	,	PUNCT
ddj-119	15	18	and	and	CCONJ
ddj-119	15	19	riemann	riemann	PROPN
ddj-119	15	20	maintained	maintain	VERB
ddj-119	15	21	the	the	DET
ddj-119	15	22	notion	notion	NOUN
ddj-119	15	23	of	of	ADP
ddj-119	15	24	three	three	NUM
ddj-119	15	25	‘	'	PUNCT
ddj-119	15	26	obvious	obvious	ADJ
ddj-119	15	27	’	'	PUNCT
ddj-119	15	28	spatial	spatial	ADJ
ddj-119	15	29	dimensions	dimension	NOUN
ddj-119	15	30	.	.	PUNCT
ddj-119	16	1	then	then	ADV
ddj-119	16	2	,	,	PUNCT
ddj-119	16	3	along	along	ADP
ddj-119	16	4	came	come	VERB
ddj-119	16	5	the	the	DET
ddj-119	16	6	notion	notion	NOUN
ddj-119	16	7	of	of	ADP
ddj-119	16	8	four	four	NUM
ddj-119	16	9	-	-	PUNCT
ddj-119	16	10	dimensional	dimensional	ADJ
ddj-119	16	11	'	'	PUNCT
ddj-119	16	12	spacetime	spacetime	NOUN
ddj-119	16	13	'	'	PUNCT
ddj-119	16	14	the	the	DET
ddj-119	16	15	union	union	NOUN
ddj-119	16	16	of	of	ADP
ddj-119	16	17	the	the	DET
ddj-119	16	18	three	three	NUM
ddj-119	16	19	dimensions	dimension	NOUN
ddj-119	16	20	of	of	ADP
ddj-119	16	21	space	space	NOUN
ddj-119	16	22	with	with	ADP
ddj-119	16	23	the	the	DET
ddj-119	16	24	single	single	ADJ
ddj-119	16	25	dimension	dimension	NOUN
ddj-119	16	26	of	of	ADP
ddj-119	16	27	time	time	NOUN
ddj-119	16	28	to	to	PART
ddj-119	16	29	create	create	VERB
ddj-119	16	30	a	a	DET
ddj-119	16	31	combined	combined	ADJ
ddj-119	16	32	entity	entity	NOUN
ddj-119	16	33	.	.	PUNCT
ddj-119	17	1	the	the	DET
ddj-119	17	2	‘	'	PUNCT
ddj-119	17	3	deformation	deformation	NOUN
ddj-119	17	4	’	'	PUNCT
ddj-119	17	5	of	of	ADP
ddj-119	17	6	synthetical	synthetical	PROPN
ddj-119	17	7	spacetime	spacetime	PROPN
ddj-119	17	8	ostensibly	ostensibly	ADV
ddj-119	17	9	explains	explain	VERB
ddj-119	17	10	gravitation	gravitation	NOUN
ddj-119	17	11	.	.	PUNCT
ddj-119	18	1	the	the	DET
ddj-119	18	2	notion	notion	NOUN
ddj-119	18	3	of	of	ADP
ddj-119	18	4	spacetime	spacetime	NOUN
ddj-119	18	5	was	be	AUX
ddj-119	18	6	introduced	introduce	VERB
ddj-119	18	7	in	in	ADP
ddj-119	18	8	the	the	DET
ddj-119	18	9	twentieth	twentieth	ADJ
ddj-119	18	10	century	century	NOUN
ddj-119	18	11	by	by	ADP
ddj-119	18	12	hermann	hermann	PROPN
ddj-119	18	13	minkowski	minkowski	PROPN
ddj-119	18	14	and	and	CCONJ
ddj-119	18	15	elaborated	elaborate	VERB
ddj-119	18	16	upon	upon	SCONJ
ddj-119	18	17	by	by	ADP
ddj-119	18	18	albert	albert	PROPN
ddj-119	18	19	einstein	einstein	PROPN
ddj-119	18	20	in	in	ADP
ddj-119	18	21	his	his	PRON
ddj-119	18	22	general	general	ADJ
ddj-119	18	23	theory	theory	NOUN
ddj-119	18	24	of	of	ADP
ddj-119	18	25	relativity	relativity	NOUN
ddj-119	18	26	.	.	PUNCT
ddj-119	19	1	current	current	ADJ
ddj-119	19	2	theoretical	theoretical	ADJ
ddj-119	19	3	concepts	concept	NOUN
ddj-119	19	4	of	of	ADP
ddj-119	19	5	spacetime	spacetime	NOUN
ddj-119	19	6	are	be	AUX
ddj-119	19	7	not	not	PART
ddj-119	19	8	restricted	restrict	VERB
ddj-119	19	9	to	to	ADP
ddj-119	19	10	just	just	ADV
ddj-119	19	11	four	four	NUM
ddj-119	19	12	dimensions	dimension	NOUN
ddj-119	19	13	.	.	PUNCT
ddj-119	20	1	in	in	ADP
ddj-119	20	2	an	an	DET
ddj-119	20	3	attempt	attempt	NOUN
ddj-119	20	4	to	to	PART
ddj-119	20	5	explain	explain	VERB
ddj-119	20	6	quantum	quantum	ADJ
ddj-119	20	7	particles	particle	NOUN
ddj-119	20	8	and	and	CCONJ
ddj-119	20	9	waves	wave	NOUN
ddj-119	20	10	,	,	PUNCT
ddj-119	20	11	‘	'	PUNCT
ddj-119	20	12	string	string	NOUN
ddj-119	20	13	’	'	PUNCT
ddj-119	20	14	theory	theory	NOUN
ddj-119	20	15	posits	posit	VERB
ddj-119	20	16	a	a	DET
ddj-119	20	17	ten	ten	NUM
ddj-119	20	18	-	-	PUNCT
ddj-119	20	19	dimensional	dimensional	ADJ
ddj-119	20	20	hyper	hyper	ADJ
ddj-119	20	21	-	-	NOUN
ddj-119	20	22	spacetime	spacetime	NOUN
ddj-119	20	23	.	.	PUNCT
ddj-119	21	1	‘	'	PUNCT
ddj-119	21	2	m	m	NOUN
ddj-119	21	3	-	-	NOUN
ddj-119	21	4	theory	theory	NOUN
ddj-119	21	5	’	'	PUNCT
ddj-119	21	6	,	,	PUNCT
ddj-119	21	7	which	which	PRON
ddj-119	21	8	is	be	AUX
ddj-119	21	9	an	an	DET
ddj-119	21	10	elaboration	elaboration	NOUN
ddj-119	21	11	of	of	ADP
ddj-119	21	12	string	string	NOUN
ddj-119	21	13	theory	theory	NOUN
ddj-119	21	14	,	,	PUNCT
ddj-119	21	15	posits	posit	VERB
ddj-119	21	16	eleven	eleven	ADJ
ddj-119	21	17	-	-	PUNCT
ddj-119	21	18	dimensional	dimensional	ADJ
ddj-119	21	19	*	*	ADJ
ddj-119	21	20	correspondence	correspondence	NOUN
ddj-119	21	21	:	:	PUNCT
ddj-119	21	22	alex	alex	PROPN
ddj-119	21	23	vary	vary	PROPN
ddj-119	21	24	,	,	PUNCT
ddj-119	21	25	phd	phd	NOUN
ddj-119	21	26	,	,	PUNCT
ddj-119	21	27	retired	retire	VERB
ddj-119	21	28	nasa	nasa	PROPN
ddj-119	21	29	scientist	scientist	NOUN
ddj-119	21	30	&	&	CCONJ
ddj-119	21	31	independent	independent	PROPN
ddj-119	21	32	researcher	researcher	PROPN
ddj-119	21	33	.	.	PUNCT
ddj-119	22	1	email	email	NOUN
ddj-119	22	2	:	:	PUNCT
ddj-119	23	1	axelvary@wowway.com	axelvary@wowway.com	X
ddj-119	24	1	mailto:axelvary@wowway.com	mailto:axelvary@wowway.com	PROPN
ddj-119	24	2	dna	dna	PROPN
ddj-119	24	3	decipher	decipher	PROPN
ddj-119	24	4	journal	journal	PROPN
ddj-119	24	5	|	|	ADP
ddj-119	24	6	july	july	PROPN
ddj-119	24	7	2017	2017	NUM
ddj-119	24	8	|	|	ADV
ddj-119	24	9	volume	volume	NOUN
ddj-119	24	10	7	7	NUM
ddj-119	24	11	|	|	NOUN
ddj-119	24	12	issue	issue	VERB
ddj-119	24	13	1	1	NUM
ddj-119	24	14	|	|	CCONJ
ddj-119	24	15	pp	pp	ADJ
ddj-119	24	16	.	.	PUNCT
ddj-119	25	1	17	17	NUM
ddj-119	25	2	-	-	SYM
ddj-119	25	3	26	26	NUM
ddj-119	25	4	vary	vary	NOUN
ddj-119	25	5	,	,	PUNCT
ddj-119	25	6	a.	a.	NOUN
ddj-119	25	7	,	,	PUNCT
ddj-119	25	8	fibonacci	fibonacci	NOUN
ddj-119	25	9	sunflowers	sunflower	NOUN
ddj-119	25	10	,	,	PUNCT
ddj-119	25	11	mathematical	mathematical	ADJ
ddj-119	25	12	objects	object	NOUN
ddj-119	25	13	&	&	CCONJ
ddj-119	25	14	cubic	cubic	ADJ
ddj-119	25	15	electrons	electron	NOUN
ddj-119	25	16	issn	issn	NOUN
ddj-119	25	17	:	:	PUNCT
ddj-119	25	18	2159	2159	NUM
ddj-119	25	19	-	-	PUNCT
ddj-119	25	20	046x	046x	NOUN
ddj-119	25	21	dna	dna	NOUN
ddj-119	25	22	decipher	decipher	PROPN
ddj-119	25	23	journal	journal	NOUN
ddj-119	25	24	published	publish	VERB
ddj-119	25	25	by	by	ADP
ddj-119	25	26	quantumdream	quantumdream	PROPN
ddj-119	25	27	,	,	PUNCT
ddj-119	25	28	inc	inc	PROPN
ddj-119	25	29	.	.	PROPN
ddj-119	25	30	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-119	25	31	18	18	NUM
ddj-119	25	32	hyper	hyper	ADJ
ddj-119	25	33	-	-	ADJ
ddj-119	25	34	spacetime	spacetime	ADJ
ddj-119	25	35	and	and	CCONJ
ddj-119	25	36	mathematical	mathematical	ADJ
ddj-119	25	37	objects	object	NOUN
ddj-119	25	38	that	that	PRON
ddj-119	25	39	reside	reside	VERB
ddj-119	25	40	in	in	ADP
ddj-119	25	41	it	it	PRON
ddj-119	25	42	.	.	PUNCT
ddj-119	26	1	calabi	calabi	NOUN
ddj-119	26	2	-	-	PUNCT
ddj-119	26	3	yau	yau	PROPN
ddj-119	26	4	manifolds	manifold	NOUN
ddj-119	26	5	constitute	constitute	VERB
ddj-119	26	6	an	an	DET
ddj-119	26	7	interesting	interesting	ADJ
ddj-119	26	8	class	class	NOUN
ddj-119	26	9	of	of	ADP
ddj-119	26	10	synthetical	synthetical	ADJ
ddj-119	26	11	geometric	geometric	ADJ
ddj-119	26	12	spaces	space	NOUN
ddj-119	26	13	,	,	PUNCT
ddj-119	26	14	that	that	ADV
ddj-119	26	15	is	is	ADV
ddj-119	26	16	,	,	PUNCT
ddj-119	26	17	mathematical	mathematical	ADJ
ddj-119	26	18	objects	object	NOUN
ddj-119	26	19	which	which	PRON
ddj-119	26	20	shing	she	VERB
ddj-119	26	21	-	-	PUNCT
ddj-119	26	22	tung	tung	NOUN
ddj-119	26	23	yau	yau	PROPN
ddj-119	26	24	showed	show	VERB
ddj-119	26	25	to	to	PART
ddj-119	26	26	be	be	AUX
ddj-119	26	27	possible	possible	ADJ
ddj-119	26	28	upon	upon	SCONJ
ddj-119	26	29	proving	prove	VERB
ddj-119	26	30	the	the	DET
ddj-119	26	31	calabi	calabi	NOUN
ddj-119	26	32	conjecture	conjecture	NOUN
ddj-119	26	33	[	[	X
ddj-119	26	34	1	1	NUM
ddj-119	26	35	]	]	PUNCT
ddj-119	26	36	.	.	PUNCT
ddj-119	27	1	these	these	DET
ddj-119	27	2	spaces	space	NOUN
ddj-119	27	3	or	or	CCONJ
ddj-119	27	4	shapes	shape	NOUN
ddj-119	27	5	are	be	AUX
ddj-119	27	6	based	base	VERB
ddj-119	27	7	on	on	ADP
ddj-119	27	8	complex	complex	ADJ
ddj-119	27	9	space	space	NOUN
ddj-119	27	10	-	-	PUNCT
ddj-119	27	11	time	time	NOUN
ddj-119	27	12	coordinates	coordinate	NOUN
ddj-119	27	13	which	which	PRON
ddj-119	27	14	bifurcate	bifurcate	VERB
ddj-119	27	15	into	into	ADP
ddj-119	27	16	even	even	ADJ
ddj-119	27	17	numbers	number	NOUN
ddj-119	27	18	of	of	ADP
ddj-119	27	19	‘	'	PUNCT
ddj-119	27	20	real	real	ADJ
ddj-119	27	21	’	'	PUNCT
ddj-119	27	22	and	and	CCONJ
ddj-119	27	23	‘	'	PUNCT
ddj-119	27	24	complex	complex	ADJ
ddj-119	27	25	’	'	PUNCT
ddj-119	27	26	dimensions	dimension	NOUN
ddj-119	27	27	.	.	PUNCT
ddj-119	28	1	the	the	DET
ddj-119	28	2	six	six	NUM
ddj-119	28	3	-	-	PUNCT
ddj-119	28	4	dimensional	dimensional	ADJ
ddj-119	28	5	case	case	NOUN
ddj-119	28	6	is	be	AUX
ddj-119	28	7	of	of	ADP
ddj-119	28	8	special	special	ADJ
ddj-119	28	9	interest	interest	NOUN
ddj-119	28	10	to	to	ADP
ddj-119	28	11	string	string	NOUN
ddj-119	28	12	theory	theory	NOUN
ddj-119	28	13	,	,	PUNCT
ddj-119	28	14	where	where	SCONJ
ddj-119	28	15	it	it	PRON
ddj-119	28	16	serves	serve	VERB
ddj-119	28	17	as	as	ADP
ddj-119	28	18	a	a	DET
ddj-119	28	19	candidate	candidate	NOUN
ddj-119	28	20	for	for	ADP
ddj-119	28	21	the	the	DET
ddj-119	28	22	geometry	geometry	NOUN
ddj-119	28	23	of	of	ADP
ddj-119	28	24	the	the	DET
ddj-119	28	25	theory	theory	NOUN
ddj-119	28	26	's	's	PART
ddj-119	28	27	six	six	NUM
ddj-119	28	28	hidden	hidden	ADJ
ddj-119	28	29	,	,	PUNCT
ddj-119	28	30	or	or	CCONJ
ddj-119	28	31	extra	extra	ADJ
ddj-119	28	32	'	'	PUNCT
ddj-119	28	33	compactified	compactified	ADJ
ddj-119	28	34	'	'	PUNCT
ddj-119	28	35	dimensions	dimension	NOUN
ddj-119	28	36	.	.	PUNCT
ddj-119	29	1	they	they	PRON
ddj-119	29	2	are	be	AUX
ddj-119	29	3	presumed	presume	VERB
ddj-119	29	4	to	to	PART
ddj-119	29	5	be	be	AUX
ddj-119	29	6	compactified	compactifie	VERB
ddj-119	29	7	because	because	SCONJ
ddj-119	29	8	they	they	PRON
ddj-119	29	9	are	be	AUX
ddj-119	29	10	not	not	PART
ddj-119	29	11	observed	observe	VERB
ddj-119	29	12	­	­	NOUN
ddj-119	29	13	they	they	PRON
ddj-119	29	14	are	be	AUX
ddj-119	29	15	infinitesimal	infinitesimal	ADJ
ddj-119	29	16	in	in	ADP
ddj-119	29	17	relation	relation	NOUN
ddj-119	29	18	to	to	ADP
ddj-119	29	19	the	the	DET
ddj-119	29	20	metrics	metric	NOUN
ddj-119	29	21	of	of	ADP
ddj-119	29	22	three	three	NUM
ddj-119	29	23	dimensional	dimensional	ADJ
ddj-119	29	24	space	space	NOUN
ddj-119	29	25	.	.	PUNCT
ddj-119	30	1	this	this	DET
ddj-119	30	2	compactification	compactification	NOUN
ddj-119	30	3	notion	notion	NOUN
ddj-119	30	4	is	be	AUX
ddj-119	30	5	really	really	ADV
ddj-119	30	6	an	an	DET
ddj-119	30	7	unnecessary	unnecessary	ADJ
ddj-119	30	8	ploy	ploy	NOUN
ddj-119	30	9	.	.	PUNCT
ddj-119	31	1	after	after	ADV
ddj-119	31	2	all	all	ADV
ddj-119	31	3	,	,	PUNCT
ddj-119	31	4	if	if	SCONJ
ddj-119	31	5	we	we	PRON
ddj-119	31	6	can	can	AUX
ddj-119	31	7	assign	assign	VERB
ddj-119	31	8	four	four	NUM
ddj-119	31	9	pseudo	pseudo	NOUN
ddj-119	31	10	dimensions	dimension	NOUN
ddj-119	31	11	to	to	PART
ddj-119	31	12	spacetime	spacetime	VERB
ddj-119	31	13	,	,	PUNCT
ddj-119	31	14	then	then	ADV
ddj-119	31	15	we	we	PRON
ddj-119	31	16	can	can	AUX
ddj-119	31	17	keep	keep	VERB
ddj-119	31	18	adding	add	VERB
ddj-119	31	19	more	more	ADJ
ddj-119	31	20	dimensions	dimension	NOUN
ddj-119	31	21	as	as	SCONJ
ddj-119	31	22	needed	need	VERB
ddj-119	31	23	to	to	PART
ddj-119	31	24	satisfy	satisfy	VERB
ddj-119	31	25	,	,	PUNCT
ddj-119	31	26	perhaps	perhaps	ADV
ddj-119	31	27	never	never	ADV
ddj-119	31	28	quench	quench	VERB
ddj-119	31	29	,	,	PUNCT
ddj-119	31	30	the	the	DET
ddj-119	31	31	thirst	thirst	ADJ
ddj-119	31	32	analytical	analytical	ADJ
ddj-119	31	33	geometers	geometer	NOUN
ddj-119	31	34	and	and	CCONJ
ddj-119	31	35	theoreticians	theoretician	NOUN
ddj-119	31	36	have	have	VERB
ddj-119	31	37	for	for	ADP
ddj-119	31	38	even	even	ADV
ddj-119	31	39	more	more	ADV
ddj-119	31	40	multidimensional	multidimensional	ADJ
ddj-119	31	41	spaces	space	NOUN
ddj-119	31	42	.	.	PUNCT
ddj-119	32	1	geometric	geometric	ADJ
ddj-119	32	2	compactification	compactification	NOUN
ddj-119	32	3	the	the	DET
ddj-119	32	4	'	'	PUNCT
ddj-119	32	5	rolling	rolling	NOUN
ddj-119	32	6	up	up	ADP
ddj-119	32	7	of	of	ADP
ddj-119	32	8	a	a	DET
ddj-119	32	9	space	space	NOUN
ddj-119	32	10	'	'	PUNCT
ddj-119	32	11	so	so	SCONJ
ddj-119	32	12	that	that	SCONJ
ddj-119	32	13	it	it	PRON
ddj-119	32	14	is	be	AUX
ddj-119	32	15	minute	minute	ADJ
ddj-119	32	16	yet	yet	ADV
ddj-119	32	17	definable	definable	ADJ
ddj-119	32	18	is	be	AUX
ddj-119	32	19	considered	consider	VERB
ddj-119	32	20	necessary	necessary	ADJ
ddj-119	32	21	for	for	ADP
ddj-119	32	22	a	a	DET
ddj-119	32	23	viable	viable	ADJ
ddj-119	32	24	string	string	NOUN
ddj-119	32	25	theory	theory	NOUN
ddj-119	32	26	.	.	PUNCT
ddj-119	33	1	in	in	ADP
ddj-119	33	2	string	string	NOUN
ddj-119	33	3	theory	theory	NOUN
ddj-119	33	4	different	different	ADJ
ddj-119	33	5	ways	way	NOUN
ddj-119	33	6	of	of	ADP
ddj-119	33	7	compactifying	compactifye	VERB
ddj-119	33	8	,	,	PUNCT
ddj-119	33	9	the	the	DET
ddj-119	33	10	extra	extra	ADJ
ddj-119	33	11	dimensions	dimension	NOUN
ddj-119	33	12	lead	lead	VERB
ddj-119	33	13	to	to	ADP
ddj-119	33	14	the	the	DET
ddj-119	33	15	notion	notion	NOUN
ddj-119	33	16	that	that	SCONJ
ddj-119	33	17	their	their	PRON
ddj-119	33	18	modulations	modulation	NOUN
ddj-119	33	19	comprise	comprise	VERB
ddj-119	33	20	elementary	elementary	ADJ
ddj-119	33	21	‘	'	PUNCT
ddj-119	33	22	physical	physical	ADJ
ddj-119	33	23	objects	object	NOUN
ddj-119	33	24	’	'	PUNCT
ddj-119	33	25	such	such	ADJ
ddj-119	33	26	as	as	ADP
ddj-119	33	27	electrons	electron	NOUN
ddj-119	33	28	and	and	CCONJ
ddj-119	33	29	photons	photon	NOUN
ddj-119	33	30	.	.	PUNCT
ddj-119	34	1	in	in	ADP
ddj-119	34	2	this	this	DET
ddj-119	34	3	sense	sense	NOUN
ddj-119	34	4	,	,	PUNCT
ddj-119	34	5	synthetical	synthetical	ADJ
ddj-119	34	6	spacetime	spacetime	NOUN
ddj-119	34	7	‘	'	PUNCT
ddj-119	34	8	manifolds	manifold	NOUN
ddj-119	34	9	’	'	PUNCT
ddj-119	34	10	are	be	AUX
ddj-119	34	11	considered	consider	VERB
ddj-119	34	12	to	to	PART
ddj-119	34	13	be	be	AUX
ddj-119	34	14	able	able	ADJ
ddj-119	34	15	to	to	PART
ddj-119	34	16	manifest	manifest	VERB
ddj-119	34	17	as	as	ADP
ddj-119	34	18	physical	physical	ADJ
ddj-119	34	19	objects	object	NOUN
ddj-119	34	20	.	.	PUNCT
ddj-119	35	1	various	various	ADJ
ddj-119	35	2	‘	'	PUNCT
ddj-119	35	3	vibrational	vibrational	ADJ
ddj-119	35	4	modes	mode	NOUN
ddj-119	35	5	’	'	PUNCT
ddj-119	35	6	of	of	ADP
ddj-119	35	7	these	these	DET
ddj-119	35	8	spacetime	spacetime	NOUN
ddj-119	35	9	manifolds	manifold	NOUN
ddj-119	35	10	have	have	AUX
ddj-119	35	11	been	be	AUX
ddj-119	35	12	taken	take	VERB
ddj-119	35	13	as	as	ADP
ddj-119	35	14	being	be	AUX
ddj-119	35	15	the	the	DET
ddj-119	35	16	origins	origin	NOUN
ddj-119	35	17	and	and	CCONJ
ddj-119	35	18	constituents	constituent	NOUN
ddj-119	35	19	of	of	ADP
ddj-119	35	20	quantum	quantum	ADJ
ddj-119	35	21	particles	particle	NOUN
ddj-119	35	22	,	,	PUNCT
ddj-119	35	23	fields	field	NOUN
ddj-119	35	24	and	and	CCONJ
ddj-119	35	25	forces	force	NOUN
ddj-119	35	26	that	that	PRON
ddj-119	35	27	pervade	pervade	VERB
ddj-119	35	28	the	the	DET
ddj-119	35	29	cosmos	cosmos	PROPN
ddj-119	35	30	.	.	PUNCT
ddj-119	36	1	thus	thus	ADV
ddj-119	36	2	,	,	PUNCT
ddj-119	36	3	spacetime	spacetime	PROPN
ddj-119	36	4	origami	origami	NOUN
ddj-119	36	5	has	have	AUX
ddj-119	36	6	emerged	emerge	VERB
ddj-119	36	7	as	as	ADP
ddj-119	36	8	a	a	DET
ddj-119	36	9	tool	tool	NOUN
ddj-119	36	10	to	to	PART
ddj-119	36	11	fold	fold	VERB
ddj-119	36	12	-	-	PUNCT
ddj-119	36	13	forge	forge	NOUN
ddj-119	36	14	quantum	quantum	ADJ
ddj-119	36	15	particles	particle	NOUN
ddj-119	36	16	.	.	PUNCT
ddj-119	37	1	shin	shin	NOUN
ddj-119	37	2	-	-	PUNCT
ddj-119	37	3	tung	tung	NOUN
ddj-119	37	4	yau	yau	NOUN
ddj-119	37	5	in	in	ADP
ddj-119	37	6	the	the	DET
ddj-119	37	7	shape	shape	NOUN
ddj-119	37	8	of	of	ADP
ddj-119	37	9	inner	inner	ADJ
ddj-119	37	10	space	space	NOUN
ddj-119	37	11	holds	hold	VERB
ddj-119	37	12	that	that	SCONJ
ddj-119	37	13	the	the	DET
ddj-119	37	14	study	study	NOUN
ddj-119	37	15	of	of	ADP
ddj-119	37	16	calabi	calabi	NOUN
ddj-119	37	17	-	-	PUNCT
ddj-119	37	18	yau	yau	PROPN
ddj-119	37	19	manifolds	manifold	NOUN
ddj-119	37	20	has	have	AUX
ddj-119	37	21	provided	provide	VERB
ddj-119	37	22	a	a	DET
ddj-119	37	23	promising	promising	ADJ
ddj-119	37	24	laboratory	laboratory	NOUN
ddj-119	37	25	for	for	ADP
ddj-119	37	26	thought	thought	NOUN
ddj-119	37	27	experiments	experiment	NOUN
ddj-119	37	28	a	a	DET
ddj-119	37	29	laboratory	laboratory	NOUN
ddj-119	37	30	that	that	PRON
ddj-119	37	31	can	can	AUX
ddj-119	37	32	inform	inform	VERB
ddj-119	37	33	the	the	DET
ddj-119	37	34	physics	physics	NOUN
ddj-119	37	35	of	of	ADP
ddj-119	37	36	string	string	NOUN
ddj-119	37	37	theory	theory	NOUN
ddj-119	37	38	and	and	CCONJ
ddj-119	37	39	also	also	ADV
ddj-119	37	40	cosmology	cosmology	NOUN
ddj-119	37	41	.	.	PUNCT
ddj-119	38	1	it	it	PRON
ddj-119	38	2	is	be	AUX
ddj-119	38	3	a	a	DET
ddj-119	38	4	testament	testament	NOUN
ddj-119	38	5	to	to	ADP
ddj-119	38	6	the	the	DET
ddj-119	38	7	agility	agility	NOUN
ddj-119	38	8	of	of	ADP
ddj-119	38	9	the	the	DET
ddj-119	38	10	human	human	ADJ
ddj-119	38	11	mind	mind	NOUN
ddj-119	38	12	that	that	SCONJ
ddj-119	38	13	we	we	PRON
ddj-119	38	14	began	begin	VERB
ddj-119	38	15	thinking	think	VERB
ddj-119	38	16	about	about	ADP
ddj-119	38	17	calabi	calabi	NOUN
ddj-119	38	18	-	-	PUNCT
ddj-119	38	19	yau	yau	PROPN
ddj-119	38	20	's	's	PART
ddj-119	38	21	manifolds	manifold	NOUN
ddj-119	38	22	strictly	strictly	ADV
ddj-119	38	23	as	as	ADP
ddj-119	38	24	objects	object	NOUN
ddj-119	38	25	,	,	PUNCT
ddj-119	38	26	albeit	albeit	SCONJ
ddj-119	38	27	mathematical	mathematical	ADJ
ddj-119	38	28	objects	object	NOUN
ddj-119	38	29	,	,	PUNCT
ddj-119	38	30	before	before	SCONJ
ddj-119	38	31	there	there	PRON
ddj-119	38	32	was	be	VERB
ddj-119	38	33	any	any	DET
ddj-119	38	34	obvious	obvious	ADJ
ddj-119	38	35	role	role	NOUN
ddj-119	38	36	for	for	ADP
ddj-119	38	37	them	they	PRON
ddj-119	38	38	in	in	ADP
ddj-119	38	39	physics	physics	PROPN
ddj-119	38	40	.	.	PUNCT
ddj-119	39	1	yau	yau	PROPN
ddj-119	39	2	writes	write	VERB
ddj-119	39	3	,	,	PUNCT
ddj-119	39	4	“	"	PUNCT
ddj-119	39	5	we	we	PRON
ddj-119	39	6	're	be	AUX
ddj-119	39	7	not	not	PART
ddj-119	39	8	forcing	force	VERB
ddj-119	39	9	calabi	calabi	NOUN
ddj-119	39	10	-	-	PUNCT
ddj-119	39	11	yau	yau	NOUN
ddj-119	39	12	's	's	PART
ddj-119	39	13	on	on	ADP
ddj-119	39	14	nature	nature	NOUN
ddj-119	39	15	,	,	PUNCT
ddj-119	39	16	but	but	CCONJ
ddj-119	39	17	nature	nature	NOUN
ddj-119	39	18	seems	seem	VERB
ddj-119	39	19	to	to	PART
ddj-119	39	20	be	be	AUX
ddj-119	39	21	forcing	force	VERB
ddj-119	39	22	them	they	PRON
ddj-119	39	23	upon	upon	SCONJ
ddj-119	39	24	us	we	PRON
ddj-119	39	25	.	.	PUNCT
ddj-119	39	26	”	"	PUNCT
ddj-119	40	1	the	the	DET
ddj-119	40	2	study	study	NOUN
ddj-119	40	3	of	of	ADP
ddj-119	40	4	these	these	DET
ddj-119	40	5	compactified	compactifie	VERB
ddj-119	40	6	multi	multi	ADJ
ddj-119	40	7	-	-	ADJ
ddj-119	40	8	dimensional	dimensional	ADJ
ddj-119	40	9	manifolds	manifold	NOUN
ddj-119	40	10	has	have	AUX
ddj-119	40	11	enabled	enable	VERB
ddj-119	40	12	both	both	DET
ddj-119	40	13	physicists	physicist	NOUN
ddj-119	40	14	and	and	CCONJ
ddj-119	40	15	mathematicians	mathematician	NOUN
ddj-119	40	16	to	to	PART
ddj-119	40	17	learn	learn	VERB
ddj-119	40	18	many	many	ADJ
ddj-119	40	19	interesting	interesting	ADJ
ddj-119	40	20	and	and	CCONJ
ddj-119	40	21	unexpected	unexpected	ADJ
ddj-119	40	22	things	thing	NOUN
ddj-119	40	23	about	about	ADP
ddj-119	40	24	the	the	DET
ddj-119	40	25	likely	likely	ADJ
ddj-119	40	26	nature	nature	NOUN
ddj-119	40	27	of	of	ADP
ddj-119	40	28	elementary	elementary	ADJ
ddj-119	40	29	particles	particle	NOUN
ddj-119	40	30	.	.	PUNCT
ddj-119	41	1	although	although	SCONJ
ddj-119	41	2	calabi	calabi	NOUN
ddj-119	41	3	-	-	PUNCT
ddj-119	41	4	yau	yau	NUM
ddj-119	41	5	spaces	space	NOUN
ddj-119	41	6	may	may	AUX
ddj-119	41	7	not	not	PART
ddj-119	41	8	be	be	AUX
ddj-119	41	9	the	the	DET
ddj-119	41	10	ultimate	ultimate	ADJ
ddj-119	41	11	destination	destination	NOUN
ddj-119	41	12	,	,	PUNCT
ddj-119	41	13	they	they	PRON
ddj-119	41	14	may	may	AUX
ddj-119	41	15	well	well	ADV
ddj-119	41	16	be	be	AUX
ddj-119	41	17	important	important	ADJ
ddj-119	41	18	stepping	stepping	ADJ
ddj-119	41	19	-	-	PUNCT
ddj-119	41	20	stones	stone	NOUN
ddj-119	41	21	to	to	ADP
ddj-119	41	22	the	the	DET
ddj-119	41	23	next	next	ADJ
ddj-119	41	24	level	level	NOUN
ddj-119	41	25	of	of	ADP
ddj-119	41	26	understanding	understanding	NOUN
ddj-119	41	27	.	.	PUNCT
ddj-119	42	1	yau	yau	PROPN
ddj-119	42	2	’s	’s	PART
ddj-119	42	3	comments	comment	NOUN
ddj-119	42	4	echo	echo	VERB
ddj-119	42	5	what	what	PRON
ddj-119	42	6	eugene	eugene	PROPN
ddj-119	42	7	wigner	wigner	NOUN
ddj-119	42	8	called	call	VERB
ddj-119	42	9	"	"	PUNCT
ddj-119	42	10	the	the	DET
ddj-119	42	11	unreasonable	unreasonable	ADJ
ddj-119	42	12	effectiveness	effectiveness	NOUN
ddj-119	42	13	of	of	ADP
ddj-119	42	14	mathematics	mathematic	NOUN
ddj-119	42	15	in	in	ADP
ddj-119	42	16	the	the	DET
ddj-119	42	17	natural	natural	ADJ
ddj-119	42	18	sciences	science	NOUN
ddj-119	42	19	.	.	PUNCT
ddj-119	42	20	"	"	PUNCT
ddj-119	43	1	yau	yau	PROPN
ddj-119	43	2	and	and	CCONJ
ddj-119	43	3	wigner	wigner	ADJ
ddj-119	43	4	marvel	marvel	NOUN
ddj-119	43	5	that	that	SCONJ
ddj-119	43	6	laws	law	NOUN
ddj-119	43	7	of	of	ADP
ddj-119	43	8	physics	physics	NOUN
ddj-119	43	9	closely	closely	ADV
ddj-119	43	10	complement	complement	VERB
ddj-119	43	11	the	the	DET
ddj-119	43	12	mathematician	mathematician	NOUN
ddj-119	43	13	's	's	PART
ddj-119	43	14	penchant	penchant	NOUN
ddj-119	43	15	for	for	ADP
ddj-119	43	16	what	what	PRON
ddj-119	43	17	is	be	AUX
ddj-119	43	18	‘	'	PUNCT
ddj-119	43	19	elegant	elegant	ADJ
ddj-119	43	20	and	and	CCONJ
ddj-119	43	21	beautiful	beautiful	ADJ
ddj-119	43	22	’	'	PUNCT
ddj-119	43	23	.	.	PUNCT
ddj-119	44	1	at	at	ADP
ddj-119	44	2	the	the	DET
ddj-119	44	3	same	same	ADJ
ddj-119	44	4	time	time	NOUN
ddj-119	44	5	,	,	PUNCT
ddj-119	44	6	they	they	PRON
ddj-119	44	7	grapple	grapple	VERB
ddj-119	44	8	with	with	ADP
ddj-119	44	9	the	the	DET
ddj-119	44	10	deep	deep	ADJ
ddj-119	44	11	mystery	mystery	NOUN
ddj-119	44	12	of	of	ADP
ddj-119	44	13	why	why	SCONJ
ddj-119	44	14	this	this	PRON
ddj-119	44	15	should	should	AUX
ddj-119	44	16	be	be	AUX
ddj-119	44	17	the	the	DET
ddj-119	44	18	case	case	NOUN
ddj-119	44	19	.	.	PUNCT
ddj-119	45	1	mathematical	mathematical	ADJ
ddj-119	45	2	beauty	beauty	PROPN
ddj-119	45	3	&	&	CCONJ
ddj-119	45	4	truth	truth	PROPN
ddj-119	45	5	euler	euler	PROPN
ddj-119	45	6	's	's	PART
ddj-119	45	7	identity	identity	NOUN
ddj-119	45	8	is	be	AUX
ddj-119	45	9	often	often	ADV
ddj-119	45	10	cited	cite	VERB
ddj-119	45	11	as	as	ADP
ddj-119	45	12	an	an	DET
ddj-119	45	13	example	example	NOUN
ddj-119	45	14	of	of	ADP
ddj-119	45	15	deep	deep	ADJ
ddj-119	45	16	mathematical	mathematical	ADJ
ddj-119	45	17	beauty	beauty	NOUN
ddj-119	45	18	.	.	PUNCT
ddj-119	46	1	it	it	PRON
ddj-119	46	2	is	be	AUX
ddj-119	46	3	also	also	ADV
ddj-119	46	4	a	a	DET
ddj-119	46	5	precise	precise	ADJ
ddj-119	46	6	statement	statement	NOUN
ddj-119	46	7	of	of	ADP
ddj-119	46	8	mathematical	mathematical	ADJ
ddj-119	46	9	truth	truth	NOUN
ddj-119	46	10	which	which	PRON
ddj-119	46	11	links	link	VERB
ddj-119	46	12	three	three	NUM
ddj-119	46	13	basic	basic	ADJ
ddj-119	46	14	arithmetic	arithmetic	ADJ
ddj-119	46	15	operations	operation	NOUN
ddj-119	46	16	:	:	PUNCT
ddj-119	46	17	addition	addition	NOUN
ddj-119	46	18	,	,	PUNCT
ddj-119	46	19	multiplication	multiplication	NOUN
ddj-119	46	20	,	,	PUNCT
ddj-119	46	21	and	and	CCONJ
ddj-119	46	22	exponentiation	exponentiation	NOUN
ddj-119	46	23	and	and	CCONJ
ddj-119	46	24	also	also	ADV
ddj-119	46	25	links	link	VERB
ddj-119	46	26	five	five	NUM
ddj-119	46	27	fundamental	fundamental	ADJ
ddj-119	46	28	mathematical	mathematical	ADJ
ddj-119	46	29	constants	constant	NOUN
ddj-119	46	30	:	:	PUNCT
ddj-119	46	31	the	the	DET
ddj-119	46	32	number	number	NOUN
ddj-119	46	33	0	0	NUM
ddj-119	46	34	,	,	PUNCT
ddj-119	46	35	the	the	DET
ddj-119	46	36	null	null	ADJ
ddj-119	46	37	identity	identity	NOUN
ddj-119	46	38	,	,	PUNCT
ddj-119	46	39	dna	dna	PROPN
ddj-119	46	40	decipher	decipher	PROPN
ddj-119	46	41	journal	journal	PROPN
ddj-119	46	42	|	|	ADP
ddj-119	46	43	july	july	PROPN
ddj-119	46	44	2017	2017	NUM
ddj-119	46	45	|	|	ADV
ddj-119	46	46	volume	volume	NOUN
ddj-119	46	47	7	7	NUM
ddj-119	46	48	|	|	NOUN
ddj-119	46	49	issue	issue	VERB
ddj-119	46	50	1	1	NUM
ddj-119	47	1	|	|	CCONJ
ddj-119	47	2	pp	pp	ADJ
ddj-119	47	3	.	.	PUNCT
ddj-119	48	1	17	17	NUM
ddj-119	48	2	-	-	SYM
ddj-119	48	3	26	26	NUM
ddj-119	48	4	vary	vary	NOUN
ddj-119	48	5	,	,	PUNCT
ddj-119	48	6	a.	a.	NOUN
ddj-119	48	7	,	,	PUNCT
ddj-119	48	8	fibonacci	fibonacci	NOUN
ddj-119	48	9	sunflowers	sunflower	NOUN
ddj-119	48	10	,	,	PUNCT
ddj-119	48	11	mathematical	mathematical	ADJ
ddj-119	48	12	objects	object	NOUN
ddj-119	48	13	&	&	CCONJ
ddj-119	48	14	cubic	cubic	ADJ
ddj-119	48	15	electrons	electron	NOUN
ddj-119	48	16	issn	issn	NOUN
ddj-119	48	17	:	:	PUNCT
ddj-119	48	18	2159	2159	NUM
ddj-119	48	19	-	-	PUNCT
ddj-119	48	20	046x	046x	NOUN
ddj-119	48	21	dna	dna	NOUN
ddj-119	48	22	decipher	decipher	PROPN
ddj-119	48	23	journal	journal	NOUN
ddj-119	48	24	published	publish	VERB
ddj-119	48	25	by	by	ADP
ddj-119	48	26	quantumdream	quantumdream	PROPN
ddj-119	48	27	,	,	PUNCT
ddj-119	48	28	inc	inc	PROPN
ddj-119	48	29	.	.	PROPN
ddj-119	48	30	www.dnadecipher.com	www.dnadecipher.com	X
ddj-119	48	31	19	19	NUM
ddj-119	48	32	the	the	DET
ddj-119	48	33	number	number	NOUN
ddj-119	48	34	1	1	NUM
ddj-119	48	35	,	,	PUNCT
ddj-119	48	36	the	the	DET
ddj-119	48	37	unit	unit	NOUN
ddj-119	48	38	identity	identity	NOUN
ddj-119	48	39	,	,	PUNCT
ddj-119	48	40	the	the	DET
ddj-119	48	41	number	number	NOUN
ddj-119	48	42	π	π	NOUN
ddj-119	48	43	,	,	PUNCT
ddj-119	48	44	which	which	PRON
ddj-119	48	45	is	be	AUX
ddj-119	48	46	ubiquitous	ubiquitous	ADJ
ddj-119	48	47	in	in	ADP
ddj-119	48	48	the	the	DET
ddj-119	48	49	geometry	geometry	NOUN
ddj-119	48	50	of	of	ADP
ddj-119	48	51	euclidean	euclidean	ADJ
ddj-119	48	52	space	space	NOUN
ddj-119	48	53	,	,	PUNCT
ddj-119	48	54	the	the	DET
ddj-119	48	55	number	number	NOUN
ddj-119	48	56	e	e	NOUN
ddj-119	48	57	,	,	PUNCT
ddj-119	48	58	the	the	DET
ddj-119	48	59	base	base	NOUN
ddj-119	48	60	of	of	ADP
ddj-119	48	61	natural	natural	ADJ
ddj-119	48	62	logarithms	logarithm	NOUN
ddj-119	48	63	which	which	PRON
ddj-119	48	64	occurs	occur	VERB
ddj-119	48	65	widely	widely	ADV
ddj-119	48	66	in	in	ADP
ddj-119	48	67	mathematical	mathematical	ADJ
ddj-119	48	68	analysis	analysis	NOUN
ddj-119	48	69	,	,	PUNCT
ddj-119	48	70	the	the	DET
ddj-119	48	71	number	number	NOUN
ddj-119	48	72	i	i	PRON
ddj-119	48	73	,	,	PUNCT
ddj-119	48	74	the	the	DET
ddj-119	48	75	imaginary	imaginary	ADJ
ddj-119	48	76	unit	unit	NOUN
ddj-119	48	77	of	of	ADP
ddj-119	48	78	the	the	DET
ddj-119	48	79	complex	complex	ADJ
ddj-119	48	80	field	field	NOUN
ddj-119	48	81	of	of	ADP
ddj-119	48	82	numbers	number	NOUN
ddj-119	48	83	.	.	PUNCT
ddj-119	49	1	both	both	DET
ddj-119	49	2	π	π	PROPN
ddj-119	49	3	and	and	CCONJ
ddj-119	49	4	e	e	PROPN
ddj-119	49	5	are	be	AUX
ddj-119	49	6	transcendental	transcendental	ADJ
ddj-119	49	7	numbers	number	NOUN
ddj-119	49	8	.	.	PUNCT
ddj-119	50	1	euler	euler	PROPN
ddj-119	50	2	's	's	PART
ddj-119	50	3	identity	identity	NOUN
ddj-119	50	4	(	(	PUNCT
ddj-119	50	5	named	name	VERB
ddj-119	50	6	after	after	ADP
ddj-119	50	7	the	the	DET
ddj-119	50	8	swiss	swiss	ADJ
ddj-119	50	9	mathematician	mathematician	PROPN
ddj-119	50	10	leonhard	leonhard	PROPN
ddj-119	50	11	euler	euler	PROPN
ddj-119	50	12	)	)	PUNCT
ddj-119	50	13	is	be	AUX
ddj-119	50	14	the	the	DET
ddj-119	50	15	equality	equality	NOUN
ddj-119	50	16	e	e	NOUN
ddj-119	50	17	iπ	iπ	NOUN
ddj-119	50	18	+	+	NOUN
ddj-119	50	19	1	1	NUM
ddj-119	50	20	=	=	SYM
ddj-119	50	21	0	0	NUM
ddj-119	50	22	e	e	NOUN
ddj-119	50	23	is	be	AUX
ddj-119	50	24	euler	euler	NOUN
ddj-119	50	25	's	's	PART
ddj-119	50	26	number	number	NOUN
ddj-119	50	27	,	,	PUNCT
ddj-119	50	28	the	the	DET
ddj-119	50	29	base	base	NOUN
ddj-119	50	30	of	of	ADP
ddj-119	50	31	natural	natural	ADJ
ddj-119	50	32	logarithms	logarithm	NOUN
ddj-119	50	33	:	:	PUNCT
ddj-119	50	34	2.718281828	2.718281828	NUM
ddj-119	50	35	.	.	PUNCT
ddj-119	50	36	.	.	PUNCT
ddj-119	50	37	.	.	PUNCT
ddj-119	51	1	i	i	PRON
ddj-119	51	2	is	be	AUX
ddj-119	51	3	the	the	DET
ddj-119	51	4	imaginary	imaginary	ADJ
ddj-119	51	5	unit	unit	NOUN
ddj-119	51	6	,	,	PUNCT
ddj-119	51	7	which	which	PRON
ddj-119	51	8	satisfies	satisfy	VERB
ddj-119	51	9	i	i	PRON
ddj-119	51	10	2	2	NUM
ddj-119	51	11	=	=	SYM
ddj-119	51	12	-1	-1	NOUN
ddj-119	51	13	,	,	PUNCT
ddj-119	51	14	and	and	CCONJ
ddj-119	51	15	π	π	PROPN
ddj-119	51	16	is	be	AUX
ddj-119	51	17	the	the	DET
ddj-119	51	18	ratio	ratio	NOUN
ddj-119	51	19	of	of	ADP
ddj-119	51	20	the	the	DET
ddj-119	51	21	circumference	circumference	NOUN
ddj-119	51	22	of	of	ADP
ddj-119	51	23	a	a	DET
ddj-119	51	24	circle	circle	NOUN
ddj-119	51	25	to	to	ADP
ddj-119	51	26	its	its	PRON
ddj-119	51	27	diameter	diameter	NOUN
ddj-119	51	28	:	:	PUNCT
ddj-119	51	29	3.14159265	3.14159265	NUM
ddj-119	51	30	.	.	PUNCT
ddj-119	51	31	.	.	PUNCT
ddj-119	51	32	.	.	PUNCT
ddj-119	52	1	euler	euler	PROPN
ddj-119	52	2	's	's	PART
ddj-119	52	3	identity	identity	NOUN
ddj-119	52	4	is	be	AUX
ddj-119	52	5	a	a	DET
ddj-119	52	6	special	special	ADJ
ddj-119	52	7	case	case	NOUN
ddj-119	52	8	from	from	ADP
ddj-119	52	9	complex	complex	ADJ
ddj-119	52	10	analysis	analysis	NOUN
ddj-119	52	11	,	,	PUNCT
ddj-119	52	12	which	which	PRON
ddj-119	52	13	states	state	VERB
ddj-119	52	14	that	that	SCONJ
ddj-119	52	15	for	for	ADP
ddj-119	52	16	any	any	DET
ddj-119	52	17	real	real	ADJ
ddj-119	52	18	number	number	NOUN
ddj-119	52	19	x	x	NOUN
ddj-119	52	20	,	,	PUNCT
ddj-119	52	21	e	e	NOUN
ddj-119	52	22	ix	ix	NOUN
ddj-119	52	23	=	=	PUNCT
ddj-119	52	24	cos	cos	NOUN
ddj-119	52	25	x	x	PROPN
ddj-119	53	1	+	+	CCONJ
ddj-119	53	2	i	i	PRON
ddj-119	53	3	sin	sin	VERB
ddj-119	53	4	x	x	SYM
ddj-119	53	5	where	where	SCONJ
ddj-119	53	6	the	the	DET
ddj-119	53	7	inputs	input	NOUN
ddj-119	53	8	of	of	ADP
ddj-119	53	9	the	the	DET
ddj-119	53	10	trigonometric	trigonometric	ADJ
ddj-119	53	11	functions	function	NOUN
ddj-119	53	12	sine	sine	VERB
ddj-119	53	13	and	and	CCONJ
ddj-119	53	14	cosine	cosine	NOUN
ddj-119	53	15	are	be	AUX
ddj-119	53	16	given	give	VERB
ddj-119	53	17	in	in	ADP
ddj-119	53	18	radians	radian	NOUN
ddj-119	53	19	.	.	PUNCT
ddj-119	54	1	when	when	SCONJ
ddj-119	54	2	x	x	X
ddj-119	54	3	=	=	SYM
ddj-119	54	4	π	π	NOUN
ddj-119	54	5	radians	radian	NOUN
ddj-119	54	6	,	,	PUNCT
ddj-119	54	7	or	or	CCONJ
ddj-119	54	8	one	one	NUM
ddj-119	54	9	half	half	ADJ
ddj-119	54	10	-	-	PUNCT
ddj-119	54	11	turn	turn	NOUN
ddj-119	54	12	(	(	PUNCT
ddj-119	54	13	180	180	NUM
ddj-119	54	14	)	)	PUNCT
ddj-119	54	15	around	around	ADP
ddj-119	54	16	a	a	DET
ddj-119	54	17	circle	circle	NOUN
ddj-119	54	18	:	:	PUNCT
ddj-119	54	19	e	e	NOUN
ddj-119	54	20	iπ	iπ	NOUN
ddj-119	54	21	=	=	X
ddj-119	54	22	cos	cos	PROPN
ddj-119	54	23	π	π	PROPN
ddj-119	55	1	+	+	CCONJ
ddj-119	55	2	i	i	PRON
ddj-119	55	3	sin	sin	VERB
ddj-119	55	4	π	π	PROPN
ddj-119	55	5	since	since	ADV
ddj-119	55	6	,	,	PUNCT
ddj-119	55	7	cos	cos	PROPN
ddj-119	55	8	π	π	PROPN
ddj-119	55	9	=	=	PUNCT
ddj-119	55	10	-1	-1	PUNCT
ddj-119	55	11	and	and	CCONJ
ddj-119	55	12	sin	sin	VERB
ddj-119	55	13	π	π	NOUN
ddj-119	55	14	=	=	SYM
ddj-119	55	15	0	0	NUM
ddj-119	56	1	it	it	PRON
ddj-119	56	2	follows	follow	VERB
ddj-119	56	3	that	that	SCONJ
ddj-119	56	4	e	e	VERB
ddj-119	56	5	iπ	iπ	NOUN
ddj-119	56	6	=	=	SYM
ddj-119	56	7	1	1	NUM
ddj-119	56	8	+	+	NUM
ddj-119	56	9	0i	0i	NOUN
ddj-119	56	10	which	which	PRON
ddj-119	56	11	yields	yield	VERB
ddj-119	56	12	euler	euler	PROPN
ddj-119	56	13	's	's	PART
ddj-119	56	14	identity	identity	NOUN
ddj-119	56	15	:	:	PUNCT
ddj-119	56	16	e	e	NOUN
ddj-119	56	17	iπ	iπ	NOUN
ddj-119	56	18	+	+	NOUN
ddj-119	56	19	1	1	NUM
ddj-119	56	20	=	=	SYM
ddj-119	56	21	0	0	NUM
ddj-119	56	22	.	.	PUNCT
ddj-119	57	1	it	it	PRON
ddj-119	57	2	should	should	AUX
ddj-119	57	3	not	not	PART
ddj-119	57	4	be	be	AUX
ddj-119	57	5	surprising	surprising	ADJ
ddj-119	57	6	that	that	SCONJ
ddj-119	57	7	euler	euler	NOUN
ddj-119	57	8	's	's	PART
ddj-119	57	9	identity	identity	NOUN
ddj-119	57	10	precisely	precisely	ADV
ddj-119	57	11	describes	describe	VERB
ddj-119	57	12	,	,	PUNCT
ddj-119	57	13	seemingly	seemingly	ADV
ddj-119	57	14	unrelated	unrelated	ADJ
ddj-119	57	15	physical	physical	ADJ
ddj-119	57	16	phenomena	phenomenon	NOUN
ddj-119	57	17	at	at	ADP
ddj-119	57	18	macroscopic	macroscopic	ADJ
ddj-119	57	19	,	,	PUNCT
ddj-119	57	20	microscopic	microscopic	ADJ
ddj-119	57	21	,	,	PUNCT
ddj-119	57	22	and	and	CCONJ
ddj-119	57	23	quantum	quantum	NOUN
ddj-119	57	24	levels	level	NOUN
ddj-119	57	25	.	.	PUNCT
ddj-119	58	1	figure	figure	NOUN
ddj-119	58	2	1	1	NUM
ddj-119	58	3	illustrates	illustrate	VERB
ddj-119	58	4	how	how	SCONJ
ddj-119	58	5	the	the	DET
ddj-119	58	6	euler	euler	NOUN
ddj-119	58	7	's	's	PART
ddj-119	58	8	identity	identity	NOUN
ddj-119	58	9	is	be	AUX
ddj-119	58	10	related	relate	VERB
ddj-119	58	11	to	to	ADP
ddj-119	58	12	the	the	DET
ddj-119	58	13	-180	-180	PROPN
ddj-119	58	14	o	o	NOUN
ddj-119	58	15	flip	flip	NOUN
ddj-119	58	16	of	of	ADP
ddj-119	58	17	a	a	DET
ddj-119	58	18	playing	playing	NOUN
ddj-119	58	19	card	card	NOUN
ddj-119	58	20	,	,	PUNCT
ddj-119	58	21	which	which	PRON
ddj-119	58	22	also	also	ADV
ddj-119	58	23	corresponds	correspond	VERB
ddj-119	58	24	to	to	ADP
ddj-119	58	25	the	the	DET
ddj-119	58	26	act	act	NOUN
ddj-119	58	27	of	of	ADP
ddj-119	58	28	turning	turn	VERB
ddj-119	58	29	a	a	DET
ddj-119	58	30	page	page	NOUN
ddj-119	58	31	,	,	PUNCT
ddj-119	58	32	opening	open	VERB
ddj-119	58	33	a	a	DET
ddj-119	58	34	book	book	NOUN
ddj-119	58	35	,	,	PUNCT
ddj-119	58	36	a	a	DET
ddj-119	58	37	stenographer	stenographer	NOUN
ddj-119	58	38	’s	’s	PART
ddj-119	58	39	tablet	tablet	NOUN
ddj-119	58	40	,	,	PUNCT
ddj-119	58	41	or	or	CCONJ
ddj-119	58	42	a	a	DET
ddj-119	58	43	laptop	laptop	NOUN
ddj-119	58	44	computer	computer	NOUN
ddj-119	58	45	.	.	PUNCT
ddj-119	59	1	at	at	ADP
ddj-119	59	2	the	the	DET
ddj-119	59	3	quantum	quantum	ADJ
ddj-119	59	4	level	level	NOUN
ddj-119	59	5	,	,	PUNCT
ddj-119	59	6	euler	euler	NOUN
ddj-119	59	7	's	's	PART
ddj-119	59	8	identity	identity	NOUN
ddj-119	59	9	describes	describe	VERB
ddj-119	59	10	the	the	DET
ddj-119	59	11	behavior	behavior	NOUN
ddj-119	59	12	of	of	ADP
ddj-119	59	13	entangled	entangled	ADJ
ddj-119	59	14	quantum	quantum	ADJ
ddj-119	59	15	particles	particle	NOUN
ddj-119	59	16	.	.	PUNCT
ddj-119	60	1	measurements	measurement	NOUN
ddj-119	60	2	of	of	ADP
ddj-119	60	3	physical	physical	ADJ
ddj-119	60	4	properties	property	NOUN
ddj-119	60	5	,	,	PUNCT
ddj-119	60	6	such	such	ADJ
ddj-119	60	7	as	as	ADP
ddj-119	60	8	spin	spin	NOUN
ddj-119	60	9	,	,	PUNCT
ddj-119	60	10	performed	perform	VERB
ddj-119	60	11	on	on	ADP
ddj-119	60	12	entangled	entangled	ADJ
ddj-119	60	13	particles	particle	NOUN
ddj-119	60	14	are	be	AUX
ddj-119	60	15	found	find	VERB
ddj-119	60	16	to	to	PART
ddj-119	60	17	be	be	AUX
ddj-119	60	18	correlated	correlate	VERB
ddj-119	60	19	by	by	ADP
ddj-119	60	20	euler	euler	PROPN
ddj-119	60	21	’s	’s	PART
ddj-119	60	22	identity	identity	NOUN
ddj-119	60	23	.	.	PUNCT
ddj-119	61	1	for	for	ADP
ddj-119	61	2	example	example	NOUN
ddj-119	61	3	,	,	PUNCT
ddj-119	61	4	if	if	SCONJ
ddj-119	61	5	a	a	DET
ddj-119	61	6	pair	pair	NOUN
ddj-119	61	7	of	of	ADP
ddj-119	61	8	particles	particle	NOUN
ddj-119	61	9	is	be	AUX
ddj-119	61	10	simultaneously	simultaneously	ADV
ddj-119	61	11	generated	generate	VERB
ddj-119	61	12	in	in	ADP
ddj-119	61	13	such	such	DET
ddj-119	61	14	a	a	DET
ddj-119	61	15	way	way	NOUN
ddj-119	61	16	that	that	PRON
ddj-119	61	17	their	their	PRON
ddj-119	61	18	total	total	ADJ
ddj-119	61	19	spin	spin	NOUN
ddj-119	61	20	is	be	AUX
ddj-119	61	21	zero	zero	NUM
ddj-119	61	22	,	,	PUNCT
ddj-119	61	23	and	and	CCONJ
ddj-119	61	24	one	one	NUM
ddj-119	61	25	particle	particle	NOUN
ddj-119	61	26	has	have	VERB
ddj-119	61	27	a	a	DET
ddj-119	61	28	spin	spin	NOUN
ddj-119	61	29	-	-	PUNCT
ddj-119	61	30	vector	vector	NOUN
ddj-119	61	31	‘	'	PUNCT
ddj-119	61	32	up	up	ADP
ddj-119	61	33	’	'	PUNCT
ddj-119	61	34	,	,	PUNCT
ddj-119	61	35	then	then	ADV
ddj-119	61	36	the	the	DET
ddj-119	61	37	spin	spin	NOUN
ddj-119	61	38	-	-	PUNCT
ddj-119	61	39	vector	vector	NOUN
ddj-119	61	40	of	of	ADP
ddj-119	61	41	the	the	DET
ddj-119	61	42	other	other	ADJ
ddj-119	61	43	particle	particle	NOUN
ddj-119	61	44	is	be	AUX
ddj-119	61	45	‘	'	PUNCT
ddj-119	61	46	down	down	ADJ
ddj-119	61	47	’	'	PUNCT
ddj-119	61	48	,	,	PUNCT
ddj-119	61	49	or	or	CCONJ
ddj-119	61	50	a	a	DET
ddj-119	61	51	-180	-180	PROPN
ddj-119	61	52	o	o	NOUN
ddj-119	61	53	flip	flip	NOUN
ddj-119	61	54	measured	measure	VERB
ddj-119	61	55	on	on	ADP
ddj-119	61	56	the	the	DET
ddj-119	61	57	same	same	ADJ
ddj-119	61	58	coordinates	coordinate	NOUN
ddj-119	61	59	axes	axis	NOUN
ddj-119	61	60	.	.	PUNCT
ddj-119	62	1	the	the	DET
ddj-119	62	2	entanglement	entanglement	ADJ
ddj-119	62	3	paradox	paradox	NOUN
ddj-119	62	4	although	although	SCONJ
ddj-119	62	5	described	describe	VERB
ddj-119	62	6	by	by	ADP
ddj-119	62	7	euler	euler	PROPN
ddj-119	62	8	’s	’s	PART
ddj-119	62	9	identity	identity	NOUN
ddj-119	62	10	is	be	AUX
ddj-119	62	11	unexplained	unexplained	ADJ
ddj-119	62	12	.	.	PUNCT
ddj-119	63	1	it	it	PRON
ddj-119	63	2	appears	appear	VERB
ddj-119	63	3	that	that	SCONJ
ddj-119	63	4	one	one	NUM
ddj-119	63	5	particle	particle	NOUN
ddj-119	63	6	of	of	ADP
ddj-119	63	7	an	an	DET
ddj-119	63	8	entangled	entangled	ADJ
ddj-119	63	9	pair	pair	NOUN
ddj-119	63	10	‘	'	PUNCT
ddj-119	63	11	knows	know	VERB
ddj-119	63	12	’	'	PUNCT
ddj-119	63	13	the	the	DET
ddj-119	63	14	spin	spin	NOUN
ddj-119	63	15	measured	measure	VERB
ddj-119	63	16	on	on	ADP
ddj-119	63	17	the	the	DET
ddj-119	63	18	other	other	ADJ
ddj-119	63	19	,	,	PUNCT
ddj-119	63	20	even	even	ADV
ddj-119	63	21	though	though	SCONJ
ddj-119	63	22	there	there	PRON
ddj-119	63	23	is	be	VERB
ddj-119	63	24	no	no	DET
ddj-119	63	25	known	known	ADJ
ddj-119	63	26	means	mean	NOUN
ddj-119	63	27	for	for	SCONJ
ddj-119	63	28	such	such	ADJ
ddj-119	63	29	information	information	NOUN
ddj-119	63	30	to	to	PART
ddj-119	63	31	be	be	AUX
ddj-119	63	32	communicated	communicate	VERB
ddj-119	63	33	between	between	ADP
ddj-119	63	34	the	the	DET
ddj-119	63	35	particles	particle	NOUN
ddj-119	63	36	,	,	PUNCT
ddj-119	63	37	which	which	PRON
ddj-119	63	38	at	at	ADP
ddj-119	63	39	the	the	DET
ddj-119	63	40	time	time	NOUN
ddj-119	63	41	of	of	ADP
ddj-119	63	42	measurement	measurement	NOUN
ddj-119	63	43	may	may	AUX
ddj-119	63	44	be	be	AUX
ddj-119	63	45	separated	separate	VERB
ddj-119	63	46	by	by	ADP
ddj-119	63	47	arbitrarily	arbitrarily	ADV
ddj-119	63	48	large	large	ADJ
ddj-119	63	49	distances	distance	NOUN
ddj-119	63	50	[	[	X
ddj-119	63	51	2	2	NUM
ddj-119	63	52	]	]	PUNCT
ddj-119	63	53	.	.	PUNCT
ddj-119	64	1	dna	dna	PROPN
ddj-119	64	2	decipher	decipher	PROPN
ddj-119	64	3	journal	journal	PROPN
ddj-119	64	4	|	|	ADP
ddj-119	64	5	july	july	PROPN
ddj-119	64	6	2017	2017	NUM
ddj-119	64	7	|	|	ADV
ddj-119	64	8	volume	volume	NOUN
ddj-119	64	9	7	7	NUM
ddj-119	64	10	|	|	NOUN
ddj-119	64	11	issue	issue	VERB
ddj-119	64	12	1	1	NUM
ddj-119	64	13	|	|	CCONJ
ddj-119	64	14	pp	pp	ADJ
ddj-119	64	15	.	.	PUNCT
ddj-119	65	1	17	17	NUM
ddj-119	65	2	-	-	SYM
ddj-119	65	3	26	26	NUM
ddj-119	65	4	vary	vary	NOUN
ddj-119	65	5	,	,	PUNCT
ddj-119	65	6	a.	a.	NOUN
ddj-119	65	7	,	,	PUNCT
ddj-119	65	8	fibonacci	fibonacci	NOUN
ddj-119	65	9	sunflowers	sunflower	NOUN
ddj-119	65	10	,	,	PUNCT
ddj-119	65	11	mathematical	mathematical	ADJ
ddj-119	65	12	objects	object	NOUN
ddj-119	65	13	&	&	CCONJ
ddj-119	65	14	cubic	cubic	ADJ
ddj-119	65	15	electrons	electron	NOUN
ddj-119	65	16	issn	issn	NOUN
ddj-119	65	17	:	:	PUNCT
ddj-119	65	18	2159	2159	NUM
ddj-119	65	19	-	-	PUNCT
ddj-119	65	20	046x	046x	NOUN
ddj-119	65	21	dna	dna	NOUN
ddj-119	65	22	decipher	decipher	PROPN
ddj-119	65	23	journal	journal	NOUN
ddj-119	65	24	published	publish	VERB
ddj-119	65	25	by	by	ADP
ddj-119	65	26	quantumdream	quantumdream	PROPN
ddj-119	65	27	,	,	PUNCT
ddj-119	65	28	inc	inc	PROPN
ddj-119	65	29	.	.	PROPN
ddj-119	65	30	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-119	65	31	20	20	NUM
ddj-119	65	32	fibonacci	fibonacci	NOUN
ddj-119	65	33	sequence	sequence	NOUN
ddj-119	65	34	&	&	CCONJ
ddj-119	65	35	golden	golden	PROPN
ddj-119	65	36	ratio	ratio	PROPN
ddj-119	65	37	fibonacci	fibonacci	PROPN
ddj-119	65	38	numbers	number	NOUN
ddj-119	65	39	appear	appear	VERB
ddj-119	65	40	unexpectedly	unexpectedly	ADV
ddj-119	65	41	and	and	CCONJ
ddj-119	65	42	often	often	ADV
ddj-119	65	43	in	in	ADP
ddj-119	65	44	mathematics	mathematic	NOUN
ddj-119	65	45	,	,	PUNCT
ddj-119	65	46	so	so	SCONJ
ddj-119	65	47	that	that	SCONJ
ddj-119	65	48	there	there	PRON
ddj-119	65	49	is	be	VERB
ddj-119	65	50	an	an	DET
ddj-119	65	51	entire	entire	ADJ
ddj-119	65	52	journal	journal	NOUN
ddj-119	65	53	dedicated	dedicate	VERB
ddj-119	65	54	to	to	ADP
ddj-119	65	55	their	their	PRON
ddj-119	65	56	study	study	NOUN
ddj-119	65	57	.	.	PUNCT
ddj-119	66	1	applications	application	NOUN
ddj-119	66	2	of	of	ADP
ddj-119	66	3	fibonacci	fibonacci	NOUN
ddj-119	66	4	numbers	number	NOUN
ddj-119	66	5	include	include	VERB
ddj-119	66	6	computer	computer	NOUN
ddj-119	66	7	algorithms	algorithm	NOUN
ddj-119	66	8	such	such	ADJ
ddj-119	66	9	as	as	ADP
ddj-119	66	10	the	the	DET
ddj-119	66	11	fibonacci	fibonacci	NOUN
ddj-119	66	12	search	search	NOUN
ddj-119	66	13	technique	technique	NOUN
ddj-119	66	14	and	and	CCONJ
ddj-119	66	15	the	the	DET
ddj-119	66	16	fibonacci	fibonacci	NOUN
ddj-119	66	17	heap	heap	PROPN
ddj-119	66	18	data	datum	NOUN
ddj-119	66	19	structure	structure	NOUN
ddj-119	66	20	.	.	PUNCT
ddj-119	67	1	fibonacci	fibonacci	NOUN
ddj-119	67	2	numbers	number	NOUN
ddj-119	67	3	also	also	ADV
ddj-119	67	4	appear	appear	VERB
ddj-119	67	5	in	in	ADP
ddj-119	67	6	biological	biological	ADJ
ddj-119	67	7	settings	setting	NOUN
ddj-119	67	8	such	such	ADJ
ddj-119	67	9	as	as	ADP
ddj-119	67	10	branching	branch	VERB
ddj-119	67	11	in	in	ADP
ddj-119	67	12	trees	tree	NOUN
ddj-119	67	13	,	,	PUNCT
ddj-119	67	14	the	the	DET
ddj-119	67	15	arrangement	arrangement	NOUN
ddj-119	67	16	of	of	ADP
ddj-119	67	17	leaves	leave	NOUN
ddj-119	67	18	on	on	ADP
ddj-119	67	19	a	a	DET
ddj-119	67	20	stem	stem	NOUN
ddj-119	67	21	,	,	PUNCT
ddj-119	67	22	the	the	DET
ddj-119	67	23	fruit	fruit	NOUN
ddj-119	67	24	sprouts	sprout	NOUN
ddj-119	67	25	of	of	ADP
ddj-119	67	26	a	a	DET
ddj-119	67	27	pineapple	pineapple	NOUN
ddj-119	67	28	,	,	PUNCT
ddj-119	67	29	the	the	DET
ddj-119	67	30	arrangement	arrangement	NOUN
ddj-119	67	31	of	of	ADP
ddj-119	67	32	a	a	DET
ddj-119	67	33	pine	pine	ADJ
ddj-119	67	34	cone	cone	NOUN
ddj-119	67	35	's	's	PART
ddj-119	67	36	bracts	bract	NOUN
ddj-119	67	37	,	,	PUNCT
ddj-119	67	38	and	and	CCONJ
ddj-119	67	39	prominently	prominently	ADV
ddj-119	67	40	in	in	ADP
ddj-119	67	41	sunflower	sunflower	NOUN
ddj-119	67	42	seed	seed	NOUN
ddj-119	67	43	patterns	pattern	NOUN
ddj-119	67	44	.	.	PUNCT
ddj-119	68	1	the	the	DET
ddj-119	68	2	incremental	incremental	ADJ
ddj-119	68	3	number	number	NOUN
ddj-119	68	4	of	of	ADP
ddj-119	68	5	petals	petal	NOUN
ddj-119	68	6	on	on	ADP
ddj-119	68	7	flowers	flower	NOUN
ddj-119	68	8	often	often	ADV
ddj-119	68	9	follows	follow	VERB
ddj-119	68	10	the	the	DET
ddj-119	68	11	fibonacci	fibonacci	NOUN
ddj-119	68	12	sequence	sequence	NOUN
ddj-119	68	13	.	.	PUNCT
ddj-119	68	14	.	.	PUNCT
ddj-119	69	1	.	.	PUNCT
ddj-119	70	1	3	3	NUM
ddj-119	70	2	,	,	PUNCT
ddj-119	70	3	5	5	NUM
ddj-119	70	4	,	,	PUNCT
ddj-119	70	5	8	8	NUM
ddj-119	70	6	,	,	PUNCT
ddj-119	70	7	etc	etc	X
ddj-119	70	8	.	.	X
ddj-119	71	1	so	so	SCONJ
ddj-119	71	2	that	that	SCONJ
ddj-119	71	3	four	four	NUM
ddj-119	71	4	-	-	PUNCT
ddj-119	71	5	leaf	leaf	NOUN
ddj-119	71	6	clovers	clover	NOUN
ddj-119	71	7	are	be	AUX
ddj-119	71	8	extremely	extremely	ADV
ddj-119	71	9	rare	rare	ADJ
ddj-119	71	10	.	.	PUNCT
ddj-119	72	1	ratios	ratio	NOUN
ddj-119	72	2	of	of	ADP
ddj-119	72	3	successive	successive	ADJ
ddj-119	72	4	pairs	pair	NOUN
ddj-119	72	5	of	of	ADP
ddj-119	72	6	numbers	number	NOUN
ddj-119	72	7	in	in	ADP
ddj-119	72	8	the	the	DET
ddj-119	72	9	fibonacci	fibonacci	NOUN
ddj-119	72	10	sequence	sequence	NOUN
ddj-119	72	11	converge	converge	VERB
ddj-119	72	12	to	to	ADP
ddj-119	72	13	the	the	DET
ddj-119	72	14	‘	'	PUNCT
ddj-119	72	15	golden	golden	ADJ
ddj-119	72	16	ratio	ratio	NOUN
ddj-119	72	17	’	'	PUNCT
ddj-119	72	18	which	which	PRON
ddj-119	72	19	appears	appear	VERB
ddj-119	72	20	in	in	ADP
ddj-119	72	21	logarithmic	logarithmic	ADJ
ddj-119	72	22	spiral	spiral	ADJ
ddj-119	72	23	patterns	pattern	NOUN
ddj-119	72	24	in	in	ADP
ddj-119	72	25	nature	nature	NOUN
ddj-119	72	26	,	,	PUNCT
ddj-119	72	27	including	include	VERB
ddj-119	72	28	the	the	DET
ddj-119	72	29	spiral	spiral	ADJ
ddj-119	72	30	arrangement	arrangement	NOUN
ddj-119	72	31	of	of	ADP
ddj-119	72	32	leaves	leave	NOUN
ddj-119	72	33	and	and	CCONJ
ddj-119	72	34	other	other	ADJ
ddj-119	72	35	plant	plant	NOUN
ddj-119	72	36	parts	part	NOUN
ddj-119	72	37	,	,	PUNCT
ddj-119	72	38	snail	snail	NOUN
ddj-119	72	39	and	and	CCONJ
ddj-119	72	40	nautilus	nautilus	ADJ
ddj-119	72	41	shells	shell	NOUN
ddj-119	72	42	,	,	PUNCT
ddj-119	72	43	and	and	CCONJ
ddj-119	72	44	the	the	DET
ddj-119	72	45	cochlea	cochlea	NOUN
ddj-119	72	46	of	of	ADP
ddj-119	72	47	the	the	DET
ddj-119	72	48	inner	inner	ADJ
ddj-119	72	49	ear	ear	NOUN
ddj-119	72	50	.	.	PUNCT
ddj-119	73	1	the	the	DET
ddj-119	73	2	ancient	ancient	ADJ
ddj-119	73	3	greeks	greeks	PROPN
ddj-119	73	4	and	and	CCONJ
ddj-119	73	5	modern	modern	ADJ
ddj-119	73	6	architects	architect	NOUN
ddj-119	73	7	and	and	CCONJ
ddj-119	73	8	artists	artist	NOUN
ddj-119	73	9	have	have	AUX
ddj-119	73	10	felt	felt	AUX
ddj-119	73	11	compelled	compel	VERB
ddj-119	73	12	to	to	PART
ddj-119	73	13	apply	apply	VERB
ddj-119	73	14	the	the	DET
ddj-119	73	15	golden	golden	ADJ
ddj-119	73	16	ratio	ratio	NOUN
ddj-119	73	17	in	in	ADP
ddj-119	73	18	their	their	PRON
ddj-119	73	19	structures	structure	NOUN
ddj-119	73	20	and	and	CCONJ
ddj-119	73	21	works	work	VERB
ddj-119	73	22	to	to	PART
ddj-119	73	23	achieve	achieve	VERB
ddj-119	73	24	elegance	elegance	NOUN
ddj-119	73	25	and	and	CCONJ
ddj-119	73	26	beauty	beauty	NOUN
ddj-119	73	27	.	.	PUNCT
ddj-119	74	1	the	the	DET
ddj-119	74	2	fibonacci	fibonacci	NOUN
ddj-119	74	3	numbers	number	NOUN
ddj-119	74	4	or	or	CCONJ
ddj-119	74	5	fibonacci	fibonacci	NOUN
ddj-119	74	6	sequence	sequence	NOUN
ddj-119	74	7	are	be	AUX
ddj-119	74	8	the	the	DET
ddj-119	74	9	numbers	number	NOUN
ddj-119	74	10	in	in	ADP
ddj-119	74	11	the	the	DET
ddj-119	74	12	following	follow	VERB
ddj-119	74	13	integer	integer	NOUN
ddj-119	74	14	sequence	sequence	NOUN
ddj-119	74	15	:	:	PUNCT
ddj-119	74	16	1	1	NUM
ddj-119	74	17	,	,	PUNCT
ddj-119	74	18	1	1	NUM
ddj-119	74	19	,	,	PUNCT
ddj-119	74	20	2	2	NUM
ddj-119	74	21	,	,	PUNCT
ddj-119	74	22	3	3	NUM
ddj-119	74	23	,	,	PUNCT
ddj-119	74	24	5	5	NUM
ddj-119	74	25	,	,	PUNCT
ddj-119	74	26	8	8	NUM
ddj-119	74	27	,	,	PUNCT
ddj-119	74	28	13	13	NUM
ddj-119	74	29	,	,	PUNCT
ddj-119	74	30	21	21	NUM
ddj-119	74	31	,	,	PUNCT
ddj-119	74	32	34	34	NUM
ddj-119	74	33	,	,	PUNCT
ddj-119	74	34	55	55	NUM
ddj-119	74	35	,	,	PUNCT
ddj-119	74	36	89	89	NUM
ddj-119	74	37	,	,	PUNCT
ddj-119	74	38	144	144	NUM
ddj-119	74	39	,	,	PUNCT
ddj-119	74	40	.	.	PUNCT
ddj-119	74	41	.	.	PUNCT
ddj-119	75	1	.	.	PUNCT
ddj-119	76	1	or	or	CCONJ
ddj-119	76	2	the	the	DET
ddj-119	76	3	alternative	alternative	ADJ
ddj-119	76	4	sequence	sequence	NOUN
ddj-119	76	5	:	:	PUNCT
ddj-119	76	6	0	0	NUM
ddj-119	76	7	,	,	PUNCT
ddj-119	76	8	1	1	NUM
ddj-119	76	9	,	,	PUNCT
ddj-119	76	10	1	1	NUM
ddj-119	76	11	,	,	PUNCT
ddj-119	76	12	2	2	NUM
ddj-119	76	13	,	,	PUNCT
ddj-119	76	14	3	3	NUM
ddj-119	76	15	,	,	PUNCT
ddj-119	76	16	5	5	NUM
ddj-119	76	17	,	,	PUNCT
ddj-119	76	18	8	8	NUM
ddj-119	76	19	,	,	PUNCT
ddj-119	76	20	13	13	NUM
ddj-119	76	21	,	,	PUNCT
ddj-119	76	22	21	21	NUM
ddj-119	76	23	,	,	PUNCT
ddj-119	76	24	34	34	NUM
ddj-119	76	25	,	,	PUNCT
ddj-119	76	26	55	55	NUM
ddj-119	76	27	,	,	PUNCT
ddj-119	76	28	89	89	NUM
ddj-119	76	29	,	,	PUNCT
ddj-119	76	30	144	144	NUM
ddj-119	76	31	,	,	PUNCT
ddj-119	76	32	.	.	PUNCT
ddj-119	76	33	.	.	PUNCT
ddj-119	76	34	.	.	PUNCT
ddj-119	77	1	by	by	ADP
ddj-119	77	2	definition	definition	NOUN
ddj-119	77	3	,	,	PUNCT
ddj-119	77	4	the	the	DET
ddj-119	77	5	first	first	ADJ
ddj-119	77	6	two	two	NUM
ddj-119	77	7	numbers	number	NOUN
ddj-119	77	8	in	in	ADP
ddj-119	77	9	the	the	DET
ddj-119	77	10	fibonacci	fibonacci	NOUN
ddj-119	77	11	sequence	sequence	NOUN
ddj-119	77	12	are	be	AUX
ddj-119	77	13	either	either	CCONJ
ddj-119	77	14	1	1	NUM
ddj-119	77	15	and	and	CCONJ
ddj-119	77	16	1	1	NUM
ddj-119	77	17	,	,	PUNCT
ddj-119	77	18	or	or	CCONJ
ddj-119	77	19	0	0	NUM
ddj-119	77	20	and	and	CCONJ
ddj-119	77	21	1	1	NUM
ddj-119	77	22	,	,	PUNCT
ddj-119	77	23	depending	depend	VERB
ddj-119	77	24	on	on	ADP
ddj-119	77	25	the	the	DET
ddj-119	77	26	chosen	choose	VERB
ddj-119	77	27	starting	starting	NOUN
ddj-119	77	28	point	point	NOUN
ddj-119	77	29	of	of	ADP
ddj-119	77	30	the	the	DET
ddj-119	77	31	sequence	sequence	NOUN
ddj-119	77	32	,	,	PUNCT
ddj-119	77	33	and	and	CCONJ
ddj-119	77	34	each	each	DET
ddj-119	77	35	subsequent	subsequent	ADJ
ddj-119	77	36	number	number	NOUN
ddj-119	77	37	is	be	AUX
ddj-119	77	38	the	the	DET
ddj-119	77	39	sum	sum	NOUN
ddj-119	77	40	of	of	ADP
ddj-119	77	41	dna	dna	PROPN
ddj-119	77	42	decipher	decipher	PROPN
ddj-119	77	43	journal	journal	PROPN
ddj-119	77	44	|	|	ADP
ddj-119	77	45	july	july	PROPN
ddj-119	77	46	2017	2017	NUM
ddj-119	77	47	|	|	ADV
ddj-119	77	48	volume	volume	NOUN
ddj-119	77	49	7	7	NUM
ddj-119	77	50	|	|	NOUN
ddj-119	77	51	issue	issue	VERB
ddj-119	77	52	1	1	NUM
ddj-119	77	53	|	|	CCONJ
ddj-119	77	54	pp	pp	ADJ
ddj-119	77	55	.	.	PUNCT
ddj-119	78	1	17	17	NUM
ddj-119	78	2	-	-	SYM
ddj-119	78	3	26	26	NUM
ddj-119	78	4	vary	vary	NOUN
ddj-119	78	5	,	,	PUNCT
ddj-119	78	6	a.	a.	NOUN
ddj-119	78	7	,	,	PUNCT
ddj-119	78	8	fibonacci	fibonacci	NOUN
ddj-119	78	9	sunflowers	sunflower	NOUN
ddj-119	78	10	,	,	PUNCT
ddj-119	78	11	mathematical	mathematical	ADJ
ddj-119	78	12	objects	object	NOUN
ddj-119	78	13	&	&	CCONJ
ddj-119	78	14	cubic	cubic	ADJ
ddj-119	78	15	electrons	electron	NOUN
ddj-119	78	16	issn	issn	NOUN
ddj-119	78	17	:	:	PUNCT
ddj-119	78	18	2159	2159	NUM
ddj-119	78	19	-	-	PUNCT
ddj-119	78	20	046x	046x	NOUN
ddj-119	78	21	dna	dna	NOUN
ddj-119	78	22	decipher	decipher	PROPN
ddj-119	78	23	journal	journal	NOUN
ddj-119	78	24	published	publish	VERB
ddj-119	78	25	by	by	ADP
ddj-119	78	26	quantumdream	quantumdream	PROPN
ddj-119	78	27	,	,	PUNCT
ddj-119	78	28	inc	inc	PROPN
ddj-119	78	29	.	.	PROPN
ddj-119	78	30	www.dnadecipher.com	www.dnadecipher.com	X
ddj-119	78	31	21	21	NUM
ddj-119	78	32	the	the	DET
ddj-119	78	33	previous	previous	ADJ
ddj-119	78	34	two	two	NUM
ddj-119	78	35	the	the	DET
ddj-119	78	36	fibonacci	fibonacci	NOUN
ddj-119	78	37	spiral	spiral	VERB
ddj-119	78	38	an	an	DET
ddj-119	78	39	approximation	approximation	NOUN
ddj-119	78	40	of	of	ADP
ddj-119	78	41	the	the	DET
ddj-119	78	42	golden	golden	ADJ
ddj-119	78	43	spiral	spiral	NOUN
ddj-119	78	44	is	be	AUX
ddj-119	78	45	a	a	DET
ddj-119	78	46	logarithmic	logarithmic	ADJ
ddj-119	78	47	spiral	spiral	NOUN
ddj-119	78	48	whose	whose	DET
ddj-119	78	49	growth	growth	NOUN
ddj-119	78	50	factor	factor	NOUN
ddj-119	78	51	is	be	AUX
ddj-119	78	52	φ	φ	NOUN
ddj-119	78	53	,	,	PUNCT
ddj-119	78	54	the	the	DET
ddj-119	78	55	golden	golden	ADJ
ddj-119	78	56	ratio	ratio	NOUN
ddj-119	78	57	.	.	PUNCT
ddj-119	79	1	that	that	PRON
ddj-119	79	2	is	is	ADV
ddj-119	79	3	,	,	PUNCT
ddj-119	79	4	a	a	DET
ddj-119	79	5	golden	golden	ADJ
ddj-119	79	6	spiral	spiral	NOUN
ddj-119	79	7	gets	get	VERB
ddj-119	79	8	wider	wide	ADJ
ddj-119	79	9	(	(	PUNCT
ddj-119	79	10	or	or	CCONJ
ddj-119	79	11	further	far	ADV
ddj-119	79	12	from	from	ADP
ddj-119	79	13	its	its	PRON
ddj-119	79	14	origin	origin	NOUN
ddj-119	79	15	)	)	PUNCT
ddj-119	79	16	by	by	ADP
ddj-119	79	17	a	a	DET
ddj-119	79	18	factor	factor	NOUN
ddj-119	79	19	of	of	ADP
ddj-119	79	20	φ	φ	PROPN
ddj-119	79	21	for	for	ADP
ddj-119	79	22	every	every	DET
ddj-119	79	23	quarter	quarter	NOUN
ddj-119	79	24	turn	turn	NOUN
ddj-119	79	25	it	it	PRON
ddj-119	79	26	makes	make	VERB
ddj-119	79	27	.	.	PUNCT
ddj-119	80	1	expressed	express	VERB
ddj-119	80	2	algebraically	algebraically	ADV
ddj-119	80	3	,	,	PUNCT
ddj-119	80	4	for	for	ADP
ddj-119	80	5	two	two	NUM
ddj-119	80	6	quantities	quantity	NOUN
ddj-119	80	7	(	(	PUNCT
ddj-119	80	8	a	a	X
ddj-119	80	9	)	)	PUNCT
ddj-119	80	10	and	and	CCONJ
ddj-119	80	11	(	(	PUNCT
ddj-119	80	12	b	b	NOUN
ddj-119	80	13	)	)	PUNCT
ddj-119	80	14	with	with	ADP
ddj-119	80	15	(	(	PUNCT
ddj-119	80	16	a	a	X
ddj-119	80	17	)	)	PUNCT
ddj-119	80	18	>	>	PUNCT
ddj-119	80	19	(	(	PUNCT
ddj-119	80	20	b	b	NOUN
ddj-119	80	21	)	)	PUNCT
ddj-119	80	22	>	>	X
ddj-119	81	1	0	0	NUM
ddj-119	81	2	,	,	PUNCT
ddj-119	81	3	if	if	SCONJ
ddj-119	81	4	(	(	PUNCT
ddj-119	81	5	a	a	DET
ddj-119	81	6	+	+	NOUN
ddj-119	81	7	b)(a	b)(a	NOUN
ddj-119	81	8	)	)	PUNCT
ddj-119	81	9	=	=	SYM
ddj-119	81	10	(	(	PUNCT
ddj-119	81	11	a)(b	a)(b	PROPN
ddj-119	81	12	)	)	PUNCT
ddj-119	81	13	,	,	PUNCT
ddj-119	81	14	then	then	ADV
ddj-119	81	15	,	,	PUNCT
ddj-119	81	16	by	by	ADP
ddj-119	81	17	definition	definition	NOUN
ddj-119	81	18	(	(	PUNCT
ddj-119	81	19	a)(b	a)(b	NOUN
ddj-119	81	20	)	)	PUNCT
ddj-119	81	21	=	=	SYM
ddj-119	81	22	φ	φ	PROPN
ddj-119	81	23	=	=	SYM
ddj-119	81	24	(	(	PUNCT
ddj-119	81	25	1+5)(2	1+5)(2	NUM
ddj-119	81	26	)	)	PUNCT
ddj-119	81	27	=	=	NOUN
ddj-119	81	28	1.618033988	1.618033988	NUM
ddj-119	81	29	.	.	PUNCT
ddj-119	81	30	.	.	PUNCT
ddj-119	81	31	.	.	PUNCT
ddj-119	82	1	simplification	simplification	NOUN
ddj-119	82	2	and	and	CCONJ
ddj-119	82	3	substitution	substitution	NOUN
ddj-119	82	4	of	of	ADP
ddj-119	82	5	(	(	PUNCT
ddj-119	82	6	b)(a	b)(a	NOUN
ddj-119	82	7	)	)	PUNCT
ddj-119	82	8	=	=	SYM
ddj-119	83	1	1φ	1φ	NUM
ddj-119	83	2	yields	yield	VERB
ddj-119	83	3	the	the	DET
ddj-119	83	4	relation	relation	NOUN
ddj-119	83	5	:	:	PUNCT
ddj-119	83	6	φ	φ	PROPN
ddj-119	83	7	2	2	NUM
ddj-119	83	8	=	=	SYM
ddj-119	83	9	φ	φ	PROPN
ddj-119	83	10	+	+	NOUN
ddj-119	83	11	1	1	NUM
ddj-119	83	12	=	=	SYM
ddj-119	83	13	2.618033988	2.618033988	NUM
ddj-119	83	14	.	.	PUNCT
ddj-119	83	15	.	.	PUNCT
ddj-119	83	16	.	.	PUNCT
ddj-119	84	1	the	the	DET
ddj-119	84	2	sequence	sequence	NOUN
ddj-119	84	3	of	of	ADP
ddj-119	84	4	the	the	DET
ddj-119	84	5	ratios	ratio	NOUN
ddj-119	84	6	of	of	ADP
ddj-119	84	7	successive	successive	ADJ
ddj-119	84	8	pairs	pair	NOUN
ddj-119	84	9	of	of	ADP
ddj-119	84	10	fibonacci	fibonacci	NOUN
ddj-119	84	11	numbers	number	NOUN
ddj-119	84	12	fn+1fn	fn+1fn	VERB
ddj-119	84	13	converges	converge	NOUN
ddj-119	84	14	to	to	ADP
ddj-119	84	15	φ	φ	PROPN
ddj-119	84	16	.	.	PUNCT
ddj-119	85	1	similarly	similarly	ADV
ddj-119	85	2	,	,	PUNCT
ddj-119	85	3	the	the	DET
ddj-119	85	4	sequence	sequence	NOUN
ddj-119	85	5	of	of	ADP
ddj-119	85	6	the	the	DET
ddj-119	85	7	ratios	ratio	NOUN
ddj-119	85	8	of	of	ADP
ddj-119	85	9	the	the	DET
ddj-119	85	10	sums	sum	NOUN
ddj-119	85	11	of	of	ADP
ddj-119	85	12	the	the	DET
ddj-119	85	13	first	first	ADJ
ddj-119	85	14	n	n	PRON
ddj-119	85	15	fibonacci	fibonacci	NOUN
ddj-119	85	16	numbers	number	NOUN
ddj-119	85	17	fn	fn	PROPN
ddj-119	85	18	fn	fn	VERB
ddj-119	85	19	converges	converge	VERB
ddj-119	85	20	to	to	ADP
ddj-119	85	21	φ	φ	PROPN
ddj-119	85	22	2	2	NUM
ddj-119	85	23	.	.	PUNCT
ddj-119	86	1	the	the	DET
ddj-119	86	2	latter	latter	ADJ
ddj-119	86	3	relationship	relationship	NOUN
ddj-119	86	4	is	be	AUX
ddj-119	86	5	illustrated	illustrate	VERB
ddj-119	86	6	in	in	ADP
ddj-119	86	7	figure	figure	NOUN
ddj-119	86	8	2	2	NUM
ddj-119	86	9	and	and	CCONJ
ddj-119	86	10	is	be	AUX
ddj-119	86	11	ostensibly	ostensibly	ADV
ddj-119	86	12	significant	significant	ADJ
ddj-119	86	13	in	in	ADP
ddj-119	86	14	delimiting	delimit	VERB
ddj-119	86	15	the	the	DET
ddj-119	86	16	size	size	NOUN
ddj-119	86	17	of	of	ADP
ddj-119	86	18	sunflowers	sunflower	NOUN
ddj-119	86	19	,	,	PUNCT
ddj-119	86	20	daisies	daisy	NOUN
ddj-119	86	21	,	,	PUNCT
ddj-119	86	22	and	and	CCONJ
ddj-119	86	23	other	other	ADJ
ddj-119	86	24	plants	plant	NOUN
ddj-119	86	25	and	and	CCONJ
ddj-119	86	26	perhaps	perhaps	ADV
ddj-119	86	27	even	even	ADV
ddj-119	86	28	‘	'	PUNCT
ddj-119	86	29	arms	arm	NOUN
ddj-119	86	30	’	'	PUNCT
ddj-119	86	31	of	of	ADP
ddj-119	86	32	spiral	spiral	ADJ
ddj-119	86	33	galaxies	galaxy	NOUN
ddj-119	86	34	.	.	PUNCT
ddj-119	87	1	the	the	DET
ddj-119	87	2	seed	seed	NOUN
ddj-119	87	3	number	number	NOUN
ddj-119	87	4	increments	increment	NOUN
ddj-119	87	5	of	of	ADP
ddj-119	87	6	a	a	DET
ddj-119	87	7	sunflower	sunflower	NOUN
ddj-119	87	8	follow	follow	VERB
ddj-119	87	9	the	the	DET
ddj-119	87	10	fibonacci	fibonacci	NOUN
ddj-119	87	11	sequence	sequence	NOUN
ddj-119	87	12	as	as	SCONJ
ddj-119	87	13	they	they	PRON
ddj-119	87	14	fill	fill	VERB
ddj-119	87	15	the	the	DET
ddj-119	87	16	outside	outside	ADJ
ddj-119	87	17	space	space	NOUN
ddj-119	87	18	away	away	ADV
ddj-119	87	19	from	from	ADP
ddj-119	87	20	the	the	DET
ddj-119	87	21	center	center	NOUN
ddj-119	87	22	.	.	PUNCT
ddj-119	88	1	during	during	ADP
ddj-119	88	2	the	the	DET
ddj-119	88	3	process	process	NOUN
ddj-119	88	4	,	,	PUNCT
ddj-119	88	5	sunflower	sunflower	NOUN
ddj-119	88	6	seeds	seed	NOUN
ddj-119	88	7	form	form	VERB
ddj-119	88	8	spiraling	spiral	VERB
ddj-119	88	9	patterns	pattern	NOUN
ddj-119	88	10	.	.	PUNCT
ddj-119	89	1	in	in	ADP
ddj-119	89	2	some	some	DET
ddj-119	89	3	cases	case	NOUN
ddj-119	89	4	,	,	PUNCT
ddj-119	89	5	the	the	DET
ddj-119	89	6	seed	seed	NOUN
ddj-119	89	7	heads	head	NOUN
ddj-119	89	8	are	be	AUX
ddj-119	89	9	so	so	ADV
ddj-119	89	10	tightly	tightly	ADV
ddj-119	89	11	packed	pack	VERB
ddj-119	89	12	that	that	SCONJ
ddj-119	89	13	total	total	ADJ
ddj-119	89	14	number	number	NOUN
ddj-119	89	15	can	can	AUX
ddj-119	89	16	get	get	VERB
ddj-119	89	17	quite	quite	ADV
ddj-119	89	18	high	high	ADJ
ddj-119	89	19	as	as	ADV
ddj-119	89	20	many	many	ADJ
ddj-119	89	21	as	as	ADP
ddj-119	89	22	144	144	NUM
ddj-119	89	23	or	or	CCONJ
ddj-119	89	24	a	a	DET
ddj-119	89	25	higher	high	ADJ
ddj-119	89	26	fibonacci	fibonacci	NOUN
ddj-119	89	27	number	number	NOUN
ddj-119	89	28	.	.	PUNCT
ddj-119	90	1	the	the	DET
ddj-119	90	2	total	total	ADJ
ddj-119	90	3	number	number	NOUN
ddj-119	90	4	of	of	ADP
ddj-119	90	5	seeds	seed	NOUN
ddj-119	90	6	tends	tend	VERB
ddj-119	90	7	to	to	PART
ddj-119	90	8	match	match	VERB
ddj-119	90	9	a	a	DET
ddj-119	90	10	fibonacci	fibonacci	NOUN
ddj-119	90	11	number	number	NOUN
ddj-119	90	12	.	.	PUNCT
ddj-119	91	1	but	but	CCONJ
ddj-119	91	2	,	,	PUNCT
ddj-119	91	3	since	since	SCONJ
ddj-119	91	4	the	the	DET
ddj-119	91	5	fibonacci	fibonacci	NOUN
ddj-119	91	6	sequence	sequence	NOUN
ddj-119	91	7	never	never	ADV
ddj-119	91	8	ends	end	VERB
ddj-119	91	9	,	,	PUNCT
ddj-119	91	10	what	what	PRON
ddj-119	91	11	limits	limit	VERB
ddj-119	91	12	the	the	DET
ddj-119	91	13	total	total	ADJ
ddj-119	91	14	number	number	NOUN
ddj-119	91	15	of	of	ADP
ddj-119	91	16	seeds	seed	NOUN
ddj-119	91	17	in	in	ADP
ddj-119	91	18	a	a	DET
ddj-119	91	19	sunflower	sunflower	NOUN
ddj-119	91	20	?	?	PUNCT
ddj-119	92	1	why	why	SCONJ
ddj-119	92	2	are	be	AUX
ddj-119	92	3	there	there	PRON
ddj-119	92	4	no	no	DET
ddj-119	92	5	sunflowers	sunflower	NOUN
ddj-119	92	6	as	as	ADV
ddj-119	92	7	big	big	ADJ
ddj-119	92	8	as	as	ADP
ddj-119	92	9	dinner	dinner	NOUN
ddj-119	92	10	plates	plate	NOUN
ddj-119	92	11	or	or	CCONJ
ddj-119	92	12	tractor	tractor	NOUN
ddj-119	92	13	wheels	wheel	NOUN
ddj-119	92	14	?	?	PUNCT
ddj-119	93	1	the	the	DET
ddj-119	93	2	obvious	obvious	ADJ
ddj-119	93	3	answer	answer	NOUN
ddj-119	93	4	is	be	AUX
ddj-119	93	5	that	that	PRON
ddj-119	93	6	plant	plant	NOUN
ddj-119	93	7	physiology	physiology	NOUN
ddj-119	93	8	controls	control	VERB
ddj-119	93	9	growth	growth	NOUN
ddj-119	93	10	factors	factor	NOUN
ddj-119	93	11	which	which	PRON
ddj-119	93	12	limit	limit	VERB
ddj-119	93	13	the	the	DET
ddj-119	93	14	diameter	diameter	NOUN
ddj-119	93	15	and	and	CCONJ
ddj-119	93	16	size	size	NOUN
ddj-119	93	17	peculiar	peculiar	ADJ
ddj-119	93	18	to	to	ADP
ddj-119	93	19	sunflowers	sunflower	NOUN
ddj-119	93	20	,	,	PUNCT
ddj-119	93	21	daisies	daisy	NOUN
ddj-119	93	22	,	,	PUNCT
ddj-119	93	23	and	and	CCONJ
ddj-119	93	24	other	other	ADJ
ddj-119	93	25	flora	flora	NOUN
ddj-119	93	26	allowing	allow	VERB
ddj-119	93	27	the	the	DET
ddj-119	93	28	best	good	ADJ
ddj-119	93	29	exposure	exposure	NOUN
ddj-119	93	30	to	to	ADP
ddj-119	93	31	sunlight	sunlight	NOUN
ddj-119	93	32	and	and	CCONJ
ddj-119	93	33	other	other	ADJ
ddj-119	93	34	factors	factor	NOUN
ddj-119	93	35	.	.	PUNCT
ddj-119	94	1	yet	yet	ADV
ddj-119	94	2	,	,	PUNCT
ddj-119	94	3	we	we	PRON
ddj-119	94	4	observe	observe	VERB
ddj-119	94	5	from	from	ADP
ddj-119	94	6	the	the	DET
ddj-119	94	7	curve	curve	NOUN
ddj-119	94	8	in	in	ADP
ddj-119	94	9	figure	figure	NOUN
ddj-119	94	10	2	2	NUM
ddj-119	94	11	that	that	SCONJ
ddj-119	94	12	beyond	beyond	ADP
ddj-119	94	13	approximately	approximately	ADV
ddj-119	94	14	fibonacci	fibonacci	NOUN
ddj-119	94	15	number	number	NOUN
ddj-119	94	16	144	144	NUM
ddj-119	94	17	the	the	DET
ddj-119	94	18	golden	golden	PROPN
ddj-119	94	19	ratio	ratio	NOUN
ddj-119	94	20	φ	φ	PROPN
ddj-119	94	21	2	2	NUM
ddj-119	94	22	is	be	AUX
ddj-119	94	23	dna	dna	PROPN
ddj-119	94	24	decipher	decipher	ADJ
ddj-119	94	25	journal	journal	NOUN
ddj-119	94	26	|	|	ADP
ddj-119	94	27	july	july	PROPN
ddj-119	94	28	2017	2017	NUM
ddj-119	94	29	|	|	ADV
ddj-119	94	30	volume	volume	NOUN
ddj-119	94	31	7	7	NUM
ddj-119	94	32	|	|	NOUN
ddj-119	94	33	issue	issue	VERB
ddj-119	94	34	1	1	NUM
ddj-119	94	35	|	|	CCONJ
ddj-119	94	36	pp	pp	ADJ
ddj-119	94	37	.	.	PUNCT
ddj-119	95	1	17	17	NUM
ddj-119	95	2	-	-	SYM
ddj-119	95	3	26	26	NUM
ddj-119	95	4	vary	vary	NOUN
ddj-119	95	5	,	,	PUNCT
ddj-119	95	6	a.	a.	NOUN
ddj-119	95	7	,	,	PUNCT
ddj-119	95	8	fibonacci	fibonacci	NOUN
ddj-119	95	9	sunflowers	sunflower	NOUN
ddj-119	95	10	,	,	PUNCT
ddj-119	95	11	mathematical	mathematical	ADJ
ddj-119	95	12	objects	object	NOUN
ddj-119	95	13	&	&	CCONJ
ddj-119	95	14	cubic	cubic	ADJ
ddj-119	95	15	electrons	electron	NOUN
ddj-119	95	16	issn	issn	NOUN
ddj-119	95	17	:	:	PUNCT
ddj-119	95	18	2159	2159	NUM
ddj-119	95	19	-	-	PUNCT
ddj-119	95	20	046x	046x	NOUN
ddj-119	95	21	dna	dna	NOUN
ddj-119	95	22	decipher	decipher	PROPN
ddj-119	95	23	journal	journal	NOUN
ddj-119	95	24	published	publish	VERB
ddj-119	95	25	by	by	ADP
ddj-119	95	26	quantumdream	quantumdream	PROPN
ddj-119	95	27	,	,	PUNCT
ddj-119	95	28	inc	inc	PROPN
ddj-119	95	29	.	.	PROPN
ddj-119	95	30	www.dnadecipher.com	www.dnadecipher.com	X
ddj-119	95	31	22	22	NUM
ddj-119	95	32	very	very	ADV
ddj-119	95	33	quickly	quickly	ADV
ddj-119	95	34	reached	reach	VERB
ddj-119	95	35	.	.	PUNCT
ddj-119	96	1	we	we	PRON
ddj-119	96	2	cautiously	cautiously	ADV
ddj-119	96	3	infer	infer	VERB
ddj-119	96	4	that	that	SCONJ
ddj-119	96	5	the	the	DET
ddj-119	96	6	sunflower	sunflower	NOUN
ddj-119	96	7	seed	seed	NOUN
ddj-119	96	8	pattern	pattern	NOUN
ddj-119	96	9	spiral	spiral	ADJ
ddj-119	96	10	shape	shape	NOUN
ddj-119	96	11	and	and	CCONJ
ddj-119	96	12	size	size	NOUN
ddj-119	96	13	are	be	AUX
ddj-119	96	14	governed	govern	VERB
ddj-119	96	15	and	and	CCONJ
ddj-119	96	16	limited	limit	VERB
ddj-119	96	17	by	by	ADP
ddj-119	96	18	the	the	DET
ddj-119	96	19	golden	golden	PROPN
ddj-119	96	20	ratio	ratio	PROPN
ddj-119	96	21	φ	φ	PROPN
ddj-119	96	22	2	2	NUM
ddj-119	96	23	=	=	SYM
ddj-119	96	24	φ	φ	PROPN
ddj-119	97	1	+	+	NOUN
ddj-119	97	2	1	1	NUM
ddj-119	97	3	=	=	SYM
ddj-119	97	4	2.618033988	2.618033988	NUM
ddj-119	97	5	.	.	PUNCT
ddj-119	98	1	the	the	DET
ddj-119	98	2	‘	'	PUNCT
ddj-119	98	3	arms	arm	NOUN
ddj-119	98	4	’	'	PUNCT
ddj-119	98	5	of	of	ADP
ddj-119	98	6	spiral	spiral	ADJ
ddj-119	98	7	galaxies	galaxy	NOUN
ddj-119	98	8	tend	tend	VERB
ddj-119	98	9	to	to	PART
ddj-119	98	10	follow	follow	VERB
ddj-119	98	11	the	the	DET
ddj-119	98	12	fibonacci	fibonacci	NOUN
ddj-119	98	13	pattern	pattern	NOUN
ddj-119	98	14	and	and	CCONJ
ddj-119	98	15	golden	golden	ADJ
ddj-119	98	16	ratio	ratio	NOUN
ddj-119	98	17	.	.	PUNCT
ddj-119	99	1	the	the	DET
ddj-119	99	2	milky	milky	ADJ
ddj-119	99	3	way	way	NOUN
ddj-119	99	4	and	and	CCONJ
ddj-119	99	5	neighboring	neighboring	NOUN
ddj-119	99	6	andromeda	andromeda	NOUN
ddj-119	99	7	galaxy	galaxy	NOUN
ddj-119	99	8	have	have	VERB
ddj-119	99	9	several	several	ADJ
ddj-119	99	10	spiral	spiral	ADJ
ddj-119	99	11	arms	arm	NOUN
ddj-119	99	12	,	,	PUNCT
ddj-119	99	13	each	each	PRON
ddj-119	99	14	of	of	ADP
ddj-119	99	15	them	they	PRON
ddj-119	99	16	a	a	DET
ddj-119	99	17	logarithmic	logarithmic	ADJ
ddj-119	99	18	spiral	spiral	NOUN
ddj-119	99	19	.	.	PUNCT
ddj-119	100	1	like	like	ADP
ddj-119	100	2	sunflowers	sunflower	NOUN
ddj-119	100	3	,	,	PUNCT
ddj-119	100	4	spiral	spiral	ADJ
ddj-119	100	5	galaxies	galaxy	NOUN
ddj-119	100	6	appear	appear	VERB
ddj-119	100	7	to	to	PART
ddj-119	100	8	conform	conform	VERB
ddj-119	100	9	to	to	ADP
ddj-119	100	10	size	size	NOUN
ddj-119	100	11	limitations	limitation	NOUN
ddj-119	100	12	which	which	PRON
ddj-119	100	13	may	may	AUX
ddj-119	100	14	be	be	AUX
ddj-119	100	15	attributed	attribute	VERB
ddj-119	100	16	to	to	ADP
ddj-119	100	17	a	a	DET
ddj-119	100	18	range	range	NOUN
ddj-119	100	19	in	in	ADP
ddj-119	100	20	mass	mass	ADJ
ddj-119	100	21	content	content	NOUN
ddj-119	100	22	consistent	consistent	ADJ
ddj-119	100	23	with	with	ADP
ddj-119	100	24	the	the	DET
ddj-119	100	25	golden	golden	ADJ
ddj-119	100	26	ratio	ratio	NOUN
ddj-119	100	27	.	.	PUNCT
ddj-119	101	1	factors	factor	NOUN
ddj-119	101	2	governing	govern	VERB
ddj-119	101	3	spiral	spiral	ADJ
ddj-119	101	4	galaxy	galaxy	NOUN
ddj-119	101	5	size	size	NOUN
ddj-119	101	6	range	range	NOUN
ddj-119	101	7	apparently	apparently	ADV
ddj-119	101	8	include	include	VERB
ddj-119	101	9	so	so	ADV
ddj-119	101	10	-	-	PUNCT
ddj-119	101	11	called	call	VERB
ddj-119	101	12	dark	dark	ADJ
ddj-119	101	13	matter	matter	NOUN
ddj-119	101	14	and	and	CCONJ
ddj-119	101	15	dark	dark	ADJ
ddj-119	101	16	energy	energy	NOUN
ddj-119	101	17	and	and	CCONJ
ddj-119	101	18	also	also	ADV
ddj-119	101	19	the	the	DET
ddj-119	101	20	‘	'	PUNCT
ddj-119	101	21	winding	wind	VERB
ddj-119	101	22	’	'	PUNCT
ddj-119	101	23	constraints	constraint	NOUN
ddj-119	101	24	that	that	PRON
ddj-119	101	25	typify	typify	VERB
ddj-119	101	26	the	the	DET
ddj-119	101	27	shape	shape	NOUN
ddj-119	101	28	and	and	CCONJ
ddj-119	101	29	extent	extent	NOUN
ddj-119	101	30	of	of	ADP
ddj-119	101	31	the	the	DET
ddj-119	101	32	spiral	spiral	ADJ
ddj-119	101	33	arms	arm	NOUN
ddj-119	101	34	.	.	PUNCT
ddj-119	101	35	wave	wave	NOUN
ddj-119	101	36	-	-	PUNCT
ddj-119	101	37	particle	particle	NOUN
ddj-119	101	38	duality	duality	NOUN
ddj-119	101	39	myth	myth	NOUN
ddj-119	101	40	in	in	ADP
ddj-119	101	41	the	the	DET
ddj-119	101	42	double	double	ADJ
ddj-119	101	43	-	-	PUNCT
ddj-119	101	44	slit	slit	NOUN
ddj-119	101	45	experiment	experiment	NOUN
ddj-119	101	46	light	light	NOUN
ddj-119	101	47	passing	pass	VERB
ddj-119	101	48	through	through	ADV
ddj-119	101	49	two	two	NUM
ddj-119	101	50	precisely	precisely	ADV
ddj-119	101	51	cut	cut	VERB
ddj-119	101	52	parallel	parallel	ADJ
ddj-119	101	53	slits	slit	NOUN
ddj-119	101	54	in	in	ADP
ddj-119	101	55	a	a	DET
ddj-119	101	56	thin	thin	ADJ
ddj-119	101	57	opaque	opaque	ADJ
ddj-119	101	58	plate	plate	NOUN
ddj-119	101	59	is	be	AUX
ddj-119	101	60	collected	collect	VERB
ddj-119	101	61	on	on	ADP
ddj-119	101	62	a	a	DET
ddj-119	101	63	photo	photo	NOUN
ddj-119	101	64	-	-	PUNCT
ddj-119	101	65	sensitive	sensitive	ADJ
ddj-119	101	66	detector	detector	NOUN
ddj-119	101	67	screen	screen	NOUN
ddj-119	101	68	.	.	PUNCT
ddj-119	102	1	after	after	SCONJ
ddj-119	102	2	the	the	DET
ddj-119	102	3	photons	photon	NOUN
ddj-119	102	4	pass	pass	VERB
ddj-119	102	5	through	through	ADP
ddj-119	102	6	the	the	DET
ddj-119	102	7	slits	slit	NOUN
ddj-119	102	8	,	,	PUNCT
ddj-119	102	9	the	the	DET
ddj-119	102	10	image	image	NOUN
ddj-119	102	11	produced	produce	VERB
ddj-119	102	12	on	on	ADP
ddj-119	102	13	the	the	DET
ddj-119	102	14	detector	detector	NOUN
ddj-119	102	15	screen	screen	NOUN
ddj-119	102	16	consists	consist	VERB
ddj-119	102	17	of	of	ADP
ddj-119	102	18	fringes	fringe	NOUN
ddj-119	102	19	,	,	PUNCT
ddj-119	102	20	an	an	DET
ddj-119	102	21	interference	interference	NOUN
ddj-119	102	22	pattern	pattern	NOUN
ddj-119	102	23	,	,	PUNCT
ddj-119	102	24	with	with	ADP
ddj-119	102	25	light	light	ADJ
ddj-119	102	26	and	and	CCONJ
ddj-119	102	27	dark	dark	ADJ
ddj-119	102	28	regions	region	NOUN
ddj-119	102	29	corresponding	correspond	VERB
ddj-119	102	30	to	to	ADP
ddj-119	102	31	where	where	SCONJ
ddj-119	102	32	light	light	ADJ
ddj-119	102	33	waves	wave	NOUN
ddj-119	102	34	have	have	AUX
ddj-119	102	35	constructively	constructively	ADV
ddj-119	102	36	and	and	CCONJ
ddj-119	102	37	destructively	destructively	ADV
ddj-119	102	38	interfered	interfere	VERB
ddj-119	102	39	,	,	PUNCT
ddj-119	102	40	figure	figure	VERB
ddj-119	102	41	3	3	NUM
ddj-119	102	42	.	.	PUNCT
ddj-119	103	1	the	the	DET
ddj-119	103	2	interference	interference	NOUN
ddj-119	103	3	pattern	pattern	NOUN
ddj-119	103	4	is	be	AUX
ddj-119	103	5	taken	take	VERB
ddj-119	103	6	as	as	ADP
ddj-119	103	7	evidence	evidence	NOUN
ddj-119	103	8	of	of	ADP
ddj-119	103	9	wave	wave	NOUN
ddj-119	103	10	-	-	PUNCT
ddj-119	103	11	particle	particle	NOUN
ddj-119	103	12	duality	duality	NOUN
ddj-119	103	13	,	,	PUNCT
ddj-119	103	14	as	as	SCONJ
ddj-119	103	15	inferred	infer	VERB
ddj-119	103	16	from	from	ADP
ddj-119	103	17	the	the	DET
ddj-119	103	18	application	application	NOUN
ddj-119	103	19	of	of	ADP
ddj-119	103	20	wave	wave	NOUN
ddj-119	103	21	-	-	PUNCT
ddj-119	103	22	function	function	NOUN
ddj-119	103	23	calculations	calculation	NOUN
ddj-119	103	24	.	.	PUNCT
ddj-119	104	1	when	when	SCONJ
ddj-119	104	2	photons	photon	NOUN
ddj-119	104	3	or	or	CCONJ
ddj-119	104	4	other	other	ADJ
ddj-119	104	5	quantum	quantum	ADJ
ddj-119	104	6	‘	'	PUNCT
ddj-119	104	7	particles	particle	NOUN
ddj-119	104	8	’	'	PUNCT
ddj-119	104	9	pass	pass	VERB
ddj-119	104	10	through	through	ADP
ddj-119	104	11	the	the	DET
ddj-119	104	12	double	double	ADJ
ddj-119	104	13	slit	slit	NOUN
ddj-119	104	14	,	,	PUNCT
ddj-119	104	15	a	a	DET
ddj-119	104	16	calculation	calculation	NOUN
ddj-119	104	17	which	which	PRON
ddj-119	104	18	assumes	assume	VERB
ddj-119	104	19	that	that	SCONJ
ddj-119	104	20	the	the	DET
ddj-119	104	21	photons	photon	NOUN
ddj-119	104	22	behave	behave	VERB
ddj-119	104	23	as	as	SCONJ
ddj-119	104	24	waves	wave	NOUN
ddj-119	104	25	is	be	AUX
ddj-119	104	26	needed	need	VERB
ddj-119	104	27	to	to	PART
ddj-119	104	28	predict	predict	VERB
ddj-119	104	29	the	the	DET
ddj-119	104	30	interference	interference	NOUN
ddj-119	104	31	pattern	pattern	NOUN
ddj-119	104	32	.	.	PUNCT
ddj-119	105	1	when	when	SCONJ
ddj-119	105	2	the	the	DET
ddj-119	105	3	fringe	fringe	NOUN
ddj-119	105	4	pattern	pattern	NOUN
ddj-119	105	5	is	be	AUX
ddj-119	105	6	examined	examine	VERB
ddj-119	105	7	,	,	PUNCT
ddj-119	105	8	it	it	PRON
ddj-119	105	9	is	be	AUX
ddj-119	105	10	evident	evident	ADJ
ddj-119	105	11	that	that	SCONJ
ddj-119	105	12	the	the	DET
ddj-119	105	13	pattern	pattern	NOUN
ddj-119	105	14	was	be	AUX
ddj-119	105	15	built	build	VERB
ddj-119	105	16	piecemeal	piecemeal	ADJ
ddj-119	105	17	quantum	quantum	NOUN
ddj-119	105	18	by	by	ADP
ddj-119	105	19	quantum	quantum	NOUN
ddj-119	105	20	not	not	PART
ddj-119	105	21	by	by	ADP
ddj-119	105	22	continuous	continuous	ADJ
ddj-119	105	23	wave	wave	NOUN
ddj-119	105	24	fronts	front	NOUN
ddj-119	105	25	forming	form	VERB
ddj-119	105	26	fringes	fringe	NOUN
ddj-119	105	27	composed	compose	VERB
ddj-119	105	28	of	of	ADP
ddj-119	105	29	a	a	DET
ddj-119	105	30	patterned	pattern	VERB
ddj-119	105	31	accumulation	accumulation	NOUN
ddj-119	105	32	of	of	ADP
ddj-119	105	33	random	random	ADJ
ddj-119	105	34	spots	spot	NOUN
ddj-119	105	35	.	.	PUNCT
ddj-119	106	1	during	during	ADP
ddj-119	106	2	transit	transit	NOUN
ddj-119	106	3	,	,	PUNCT
ddj-119	106	4	each	each	DET
ddj-119	106	5	photon	photon	NOUN
ddj-119	106	6	,	,	PUNCT
ddj-119	106	7	from	from	ADP
ddj-119	106	8	the	the	DET
ddj-119	106	9	source	source	NOUN
ddj-119	106	10	to	to	ADP
ddj-119	106	11	detector	detector	NOUN
ddj-119	106	12	screen	screen	NOUN
ddj-119	106	13	through	through	ADP
ddj-119	106	14	one	one	NUM
ddj-119	106	15	or	or	CCONJ
ddj-119	106	16	the	the	DET
ddj-119	106	17	other	other	ADJ
ddj-119	106	18	double	double	ADJ
ddj-119	106	19	slit	slit	NOUN
ddj-119	106	20	evolves	evolve	NOUN
ddj-119	106	21	,	,	PUNCT
ddj-119	106	22	according	accord	VERB
ddj-119	106	23	to	to	ADP
ddj-119	106	24	the	the	DET
ddj-119	106	25	schrödinger	schrödinger	ADJ
ddj-119	106	26	wave	wave	NOUN
ddj-119	106	27	-	-	PUNCT
ddj-119	106	28	function	function	NOUN
ddj-119	106	29	,	,	PUNCT
ddj-119	106	30	and	and	CCONJ
ddj-119	106	31	spreads	spread	VERB
ddj-119	106	32	out	out	ADP
ddj-119	106	33	in	in	ADP
ddj-119	106	34	space	space	NOUN
ddj-119	106	35	as	as	ADP
ddj-119	106	36	an	an	DET
ddj-119	106	37	assumed	assumed	ADJ
ddj-119	106	38	wave	wave	NOUN
ddj-119	106	39	front	front	NOUN
ddj-119	106	40	.	.	PUNCT
ddj-119	107	1	but	but	CCONJ
ddj-119	107	2	the	the	DET
ddj-119	107	3	actual	actual	ADJ
ddj-119	107	4	measurement	measurement	NOUN
ddj-119	107	5	on	on	ADP
ddj-119	107	6	the	the	DET
ddj-119	107	7	detector	detector	NOUN
ddj-119	107	8	screen	screen	NOUN
ddj-119	107	9	finds	find	VERB
ddj-119	107	10	each	each	DET
ddj-119	107	11	photon	photon	NOUN
ddj-119	107	12	deposited	deposit	VERB
ddj-119	107	13	as	as	ADP
ddj-119	107	14	a	a	DET
ddj-119	107	15	quantum	quantum	NOUN
ddj-119	107	16	parcel	parcel	NOUN
ddj-119	107	17	at	at	ADP
ddj-119	107	18	a	a	DET
ddj-119	107	19	particular	particular	ADJ
ddj-119	107	20	spot	spot	NOUN
ddj-119	107	21	on	on	ADP
ddj-119	107	22	the	the	DET
ddj-119	107	23	detector	detector	NOUN
ddj-119	107	24	surface	surface	NOUN
ddj-119	107	25	.	.	PUNCT
ddj-119	108	1	this	this	PRON
ddj-119	108	2	is	be	AUX
ddj-119	108	3	unanticipated	unanticipate	VERB
ddj-119	108	4	by	by	ADP
ddj-119	108	5	the	the	DET
ddj-119	108	6	wave	wave	NOUN
ddj-119	108	7	-	-	PUNCT
ddj-119	108	8	function	function	NOUN
ddj-119	108	9	it	it	PRON
ddj-119	108	10	is	be	AUX
ddj-119	108	11	called	call	VERB
ddj-119	108	12	wave	wave	NOUN
ddj-119	108	13	-	-	PUNCT
ddj-119	108	14	function	function	NOUN
ddj-119	108	15	collapse	collapse	NOUN
ddj-119	108	16	.	.	PUNCT
ddj-119	109	1	this	this	PRON
ddj-119	109	2	is	be	AUX
ddj-119	109	3	explained	explain	VERB
ddj-119	109	4	by	by	ADP
ddj-119	109	5	assuming	assume	VERB
ddj-119	109	6	wave	wave	NOUN
ddj-119	109	7	-	-	PUNCT
ddj-119	109	8	particle	particle	NOUN
ddj-119	109	9	duality	duality	NOUN
ddj-119	109	10	,	,	PUNCT
ddj-119	109	11	that	that	ADV
ddj-119	109	12	is	is	ADV
ddj-119	109	13	,	,	PUNCT
ddj-119	109	14	photons	photon	NOUN
ddj-119	109	15	in	in	ADP
ddj-119	109	16	transit	transit	NOUN
ddj-119	109	17	are	be	AUX
ddj-119	109	18	waves	wave	NOUN
ddj-119	109	19	which	which	PRON
ddj-119	109	20	become	become	VERB
ddj-119	109	21	particles	particle	NOUN
ddj-119	109	22	as	as	SCONJ
ddj-119	109	23	they	they	PRON
ddj-119	109	24	impinge	impinge	VERB
ddj-119	109	25	the	the	DET
ddj-119	109	26	detector	detector	NOUN
ddj-119	109	27	dna	dna	PROPN
ddj-119	109	28	decipher	decipher	PROPN
ddj-119	109	29	journal	journal	PROPN
ddj-119	109	30	|	|	ADP
ddj-119	109	31	july	july	PROPN
ddj-119	109	32	2017	2017	NUM
ddj-119	109	33	|	|	ADV
ddj-119	109	34	volume	volume	NOUN
ddj-119	109	35	7	7	NUM
ddj-119	109	36	|	|	NOUN
ddj-119	109	37	issue	issue	VERB
ddj-119	109	38	1	1	NUM
ddj-119	109	39	|	|	CCONJ
ddj-119	109	40	pp	pp	ADJ
ddj-119	109	41	.	.	PUNCT
ddj-119	110	1	17	17	NUM
ddj-119	110	2	-	-	SYM
ddj-119	110	3	26	26	NUM
ddj-119	110	4	vary	vary	NOUN
ddj-119	110	5	,	,	PUNCT
ddj-119	110	6	a.	a.	NOUN
ddj-119	110	7	,	,	PUNCT
ddj-119	110	8	fibonacci	fibonacci	NOUN
ddj-119	110	9	sunflowers	sunflower	NOUN
ddj-119	110	10	,	,	PUNCT
ddj-119	110	11	mathematical	mathematical	ADJ
ddj-119	110	12	objects	object	NOUN
ddj-119	110	13	&	&	CCONJ
ddj-119	110	14	cubic	cubic	ADJ
ddj-119	110	15	electrons	electron	NOUN
ddj-119	110	16	issn	issn	NOUN
ddj-119	110	17	:	:	PUNCT
ddj-119	110	18	2159	2159	NUM
ddj-119	110	19	-	-	PUNCT
ddj-119	110	20	046x	046x	NOUN
ddj-119	110	21	dna	dna	NOUN
ddj-119	110	22	decipher	decipher	PROPN
ddj-119	110	23	journal	journal	NOUN
ddj-119	110	24	published	publish	VERB
ddj-119	110	25	by	by	ADP
ddj-119	110	26	quantumdream	quantumdream	PROPN
ddj-119	110	27	,	,	PUNCT
ddj-119	110	28	inc	inc	PROPN
ddj-119	110	29	.	.	PROPN
ddj-119	110	30	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-119	110	31	23	23	NUM
ddj-119	110	32	screen	screen	NOUN
ddj-119	110	33	.	.	PUNCT
ddj-119	111	1	it	it	PRON
ddj-119	111	2	is	be	AUX
ddj-119	111	3	better	well	ADJ
ddj-119	111	4	to	to	PART
ddj-119	111	5	admit	admit	VERB
ddj-119	111	6	that	that	SCONJ
ddj-119	111	7	photons	photon	NOUN
ddj-119	111	8	are	be	AUX
ddj-119	111	9	photons	photon	NOUN
ddj-119	111	10	and	and	CCONJ
ddj-119	111	11	to	to	PART
ddj-119	111	12	avoid	avoid	VERB
ddj-119	111	13	describing	describe	VERB
ddj-119	111	14	photons	photon	NOUN
ddj-119	111	15	as	as	ADP
ddj-119	111	16	either	either	DET
ddj-119	111	17	waves	wave	NOUN
ddj-119	111	18	or	or	CCONJ
ddj-119	111	19	particles	particle	NOUN
ddj-119	111	20	.	.	PUNCT
ddj-119	112	1	interfering	interfere	VERB
ddj-119	112	2	cylindrical	cylindrical	ADJ
ddj-119	112	3	wave	wave	NOUN
ddj-119	112	4	fronts	front	NOUN
ddj-119	112	5	are	be	AUX
ddj-119	112	6	mathematical	mathematical	ADJ
ddj-119	112	7	objects	object	NOUN
ddj-119	112	8	which	which	PRON
ddj-119	112	9	are	be	AUX
ddj-119	112	10	assumed	assume	VERB
ddj-119	112	11	to	to	PART
ddj-119	112	12	describe	describe	VERB
ddj-119	112	13	photons	photon	NOUN
ddj-119	112	14	in	in	ADP
ddj-119	112	15	transit	transit	NOUN
ddj-119	112	16	because	because	SCONJ
ddj-119	112	17	they	they	PRON
ddj-119	112	18	effectively	effectively	ADV
ddj-119	112	19	predict	predict	VERB
ddj-119	112	20	the	the	DET
ddj-119	112	21	probable	probable	ADJ
ddj-119	112	22	fringe	fringe	NOUN
ddj-119	112	23	pattern	pattern	NOUN
ddj-119	112	24	of	of	ADP
ddj-119	112	25	illumination	illumination	NOUN
ddj-119	112	26	and	and	CCONJ
ddj-119	112	27	photo	photo	NOUN
ddj-119	112	28	-	-	PUNCT
ddj-119	112	29	excitation	excitation	NOUN
ddj-119	112	30	of	of	ADP
ddj-119	112	31	actual	actual	ADJ
ddj-119	112	32	particles	particle	NOUN
ddj-119	112	33	that	that	PRON
ddj-119	112	34	comprise	comprise	VERB
ddj-119	112	35	the	the	DET
ddj-119	112	36	detector	detector	NOUN
ddj-119	112	37	screen	screen	NOUN
ddj-119	112	38	photo	photo	NOUN
ddj-119	112	39	-	-	PUNCT
ddj-119	112	40	sensitive	sensitive	ADJ
ddj-119	112	41	granules	granule	NOUN
ddj-119	112	42	.	.	PUNCT
ddj-119	113	1	the	the	DET
ddj-119	113	2	mystery	mystery	NOUN
ddj-119	113	3	still	still	ADV
ddj-119	113	4	remains	remain	VERB
ddj-119	113	5	in	in	ADP
ddj-119	113	6	that	that	SCONJ
ddj-119	113	7	the	the	DET
ddj-119	113	8	pattern	pattern	NOUN
ddj-119	113	9	is	be	AUX
ddj-119	113	10	built	build	VERB
ddj-119	113	11	piecemeal	piecemeal	ADJ
ddj-119	113	12	quantum	quantum	NOUN
ddj-119	113	13	by	by	ADP
ddj-119	113	14	quantum	quantum	NOUN
ddj-119	113	15	not	not	PART
ddj-119	113	16	by	by	ADP
ddj-119	113	17	the	the	DET
ddj-119	113	18	diffuse	diffuse	NOUN
ddj-119	113	19	spreading	spread	VERB
ddj-119	113	20	of	of	ADP
ddj-119	113	21	continuous	continuous	ADJ
ddj-119	113	22	wave	wave	NOUN
ddj-119	113	23	fronts	front	NOUN
ddj-119	113	24	.	.	PUNCT
ddj-119	114	1	an	an	DET
ddj-119	114	2	alternative	alternative	ADJ
ddj-119	114	3	way	way	NOUN
ddj-119	114	4	to	to	PART
ddj-119	114	5	describe	describe	VERB
ddj-119	114	6	the	the	DET
ddj-119	114	7	transit	transit	NOUN
ddj-119	114	8	of	of	ADP
ddj-119	114	9	photons	photon	NOUN
ddj-119	114	10	or	or	CCONJ
ddj-119	114	11	other	other	ADJ
ddj-119	114	12	quantum	quantum	ADJ
ddj-119	114	13	‘	'	PUNCT
ddj-119	114	14	particles	particle	NOUN
ddj-119	114	15	’	'	PUNCT
ddj-119	114	16	is	be	AUX
ddj-119	114	17	based	base	VERB
ddj-119	114	18	on	on	ADP
ddj-119	114	19	a	a	DET
ddj-119	114	20	louis	louis	PROPN
ddj-119	114	21	de	de	X
ddj-119	114	22	broglie	broglie	NOUN
ddj-119	114	23	concept	concept	NOUN
ddj-119	114	24	adopted	adopt	VERB
ddj-119	114	25	and	and	CCONJ
ddj-119	114	26	developed	develop	VERB
ddj-119	114	27	by	by	ADP
ddj-119	114	28	david	david	PROPN
ddj-119	114	29	bohm	bohm	PROPN
ddj-119	114	30	.	.	PUNCT
ddj-119	115	1	he	he	PRON
ddj-119	115	2	postulated	postulate	VERB
ddj-119	115	3	that	that	SCONJ
ddj-119	115	4	photons	photon	NOUN
ddj-119	115	5	travel	travel	VERB
ddj-119	115	6	through	through	ADP
ddj-119	115	7	both	both	DET
ddj-119	115	8	slits	slit	NOUN
ddj-119	115	9	,	,	PUNCT
ddj-119	115	10	but	but	CCONJ
ddj-119	115	11	that	that	SCONJ
ddj-119	115	12	each	each	DET
ddj-119	115	13	photon	photon	NOUN
ddj-119	115	14	has	have	VERB
ddj-119	115	15	a	a	DET
ddj-119	115	16	well	well	ADV
ddj-119	115	17	-	-	PUNCT
ddj-119	115	18	defined	define	VERB
ddj-119	115	19	trajectory	trajectory	NOUN
ddj-119	115	20	and	and	CCONJ
ddj-119	115	21	passes	pass	VERB
ddj-119	115	22	through	through	ADP
ddj-119	115	23	exactly	exactly	ADV
ddj-119	115	24	one	one	NUM
ddj-119	115	25	of	of	ADP
ddj-119	115	26	the	the	DET
ddj-119	115	27	slits	slit	NOUN
ddj-119	115	28	.	.	PUNCT
ddj-119	116	1	according	accord	VERB
ddj-119	116	2	to	to	ADP
ddj-119	116	3	bohm	bohm	PROPN
ddj-119	116	4	,	,	PUNCT
ddj-119	116	5	photon	photon	NOUN
ddj-119	116	6	interactions	interaction	NOUN
ddj-119	116	7	govern	govern	VERB
ddj-119	116	8	the	the	DET
ddj-119	116	9	trajectory	trajectory	NOUN
ddj-119	116	10	of	of	ADP
ddj-119	116	11	each	each	DET
ddj-119	116	12	photon	photon	NOUN
ddj-119	116	13	instant	instant	NOUN
ddj-119	116	14	by	by	ADP
ddj-119	116	15	instant	instant	NOUN
ddj-119	116	16	.	.	PUNCT
ddj-119	117	1	this	this	PRON
ddj-119	117	2	implies	imply	VERB
ddj-119	117	3	a	a	DET
ddj-119	117	4	definable	definable	ADJ
ddj-119	117	5	mathematical	mathematical	ADJ
ddj-119	117	6	and	and	CCONJ
ddj-119	117	7	empirical	empirical	ADJ
ddj-119	117	8	‘	'	PUNCT
ddj-119	117	9	configuration	configuration	NOUN
ddj-119	117	10	space	space	NOUN
ddj-119	117	11	’	'	PUNCT
ddj-119	117	12	which	which	PRON
ddj-119	117	13	guides	guide	VERB
ddj-119	117	14	the	the	DET
ddj-119	117	15	photons	photon	NOUN
ddj-119	117	16	to	to	ADP
ddj-119	117	17	their	their	PRON
ddj-119	117	18	destinations	destination	NOUN
ddj-119	117	19	[	[	X
ddj-119	117	20	3	3	NUM
ddj-119	117	21	]	]	PUNCT
ddj-119	117	22	.	.	PUNCT
ddj-119	118	1	the	the	DET
ddj-119	118	2	de	de	PROPN
ddj-119	118	3	broglie	broglie	PROPN
ddj-119	118	4	bohm	bohm	PROPN
ddj-119	118	5	‘	'	PUNCT
ddj-119	118	6	pilot	pilot	NOUN
ddj-119	118	7	-	-	PUNCT
ddj-119	118	8	wave	wave	NOUN
ddj-119	118	9	’	'	PUNCT
ddj-119	118	10	theory	theory	NOUN
ddj-119	118	11	attempts	attempt	VERB
ddj-119	118	12	to	to	PART
ddj-119	118	13	explain	explain	VERB
ddj-119	118	14	the	the	DET
ddj-119	118	15	behavior	behavior	NOUN
ddj-119	118	16	of	of	ADP
ddj-119	118	17	photons	photon	NOUN
ddj-119	118	18	without	without	ADP
ddj-119	118	19	reference	reference	NOUN
ddj-119	118	20	to	to	ADP
ddj-119	118	21	wave	wave	NOUN
ddj-119	118	22	-	-	PUNCT
ddj-119	118	23	particle	particle	NOUN
ddj-119	118	24	duality	duality	NOUN
ddj-119	118	25	the	the	DET
ddj-119	118	26	associated	associated	ADJ
ddj-119	118	27	particle	particle	NOUN
ddj-119	118	28	is	be	AUX
ddj-119	118	29	superfluous	superfluous	ADJ
ddj-119	118	30	since	since	SCONJ
ddj-119	118	31	pure	pure	ADJ
ddj-119	118	32	wave	wave	NOUN
ddj-119	118	33	theory	theory	NOUN
ddj-119	118	34	is	be	AUX
ddj-119	118	35	deemed	deem	VERB
ddj-119	118	36	sufficient	sufficient	ADJ
ddj-119	118	37	.	.	PUNCT
ddj-119	119	1	super	super	ADJ
ddj-119	119	2	-	-	ADJ
ddj-119	119	3	heavy	heavy	ADJ
ddj-119	119	4	cubic	cubic	ADJ
ddj-119	119	5	electrons	electron	NOUN
ddj-119	119	6	in	in	ADP
ddj-119	119	7	1936	1936	NUM
ddj-119	119	8	,	,	PUNCT
ddj-119	119	9	einstein	einstein	PROPN
ddj-119	119	10	expressed	express	VERB
ddj-119	119	11	the	the	DET
ddj-119	119	12	counter	counter	ADJ
ddj-119	119	13	-	-	ADJ
ddj-119	119	14	intuitive	intuitive	ADJ
ddj-119	119	15	notion	notion	NOUN
ddj-119	119	16	that	that	SCONJ
ddj-119	119	17	“	"	PUNCT
ddj-119	119	18	perhaps	perhaps	ADV
ddj-119	119	19	we	we	PRON
ddj-119	119	20	must	must	AUX
ddj-119	119	21	give	give	VERB
ddj-119	119	22	up	up	ADP
ddj-119	119	23	,	,	PUNCT
ddj-119	119	24	by	by	ADP
ddj-119	119	25	principle	principle	NOUN
ddj-119	119	26	,	,	PUNCT
ddj-119	119	27	the	the	DET
ddj-119	119	28	spacetime	spacetime	NOUN
ddj-119	119	29	continuum	continuum	PROPN
ddj-119	119	30	.	.	PUNCT
ddj-119	119	31	”	"	PUNCT
ddj-119	120	1	current	current	ADJ
ddj-119	120	2	quantum	quantum	NOUN
ddj-119	120	3	gravity	gravity	NOUN
ddj-119	120	4	models	model	NOUN
ddj-119	120	5	assume	assume	VERB
ddj-119	120	6	that	that	SCONJ
ddj-119	120	7	spacetime	spacetime	NOUN
ddj-119	120	8	is	be	AUX
ddj-119	120	9	discontinuous	discontinuous	ADJ
ddj-119	120	10	and	and	CCONJ
ddj-119	120	11	particulate	particulate	NOUN
ddj-119	120	12	that	that	DET
ddj-119	120	13	spacetime	spacetime	NOUN
ddj-119	120	14	is	be	AUX
ddj-119	120	15	a	a	DET
ddj-119	120	16	fractal	fractal	ADJ
ddj-119	120	17	substance	substance	NOUN
ddj-119	120	18	and	and	CCONJ
ddj-119	120	19	that	that	SCONJ
ddj-119	120	20	the	the	DET
ddj-119	120	21	granularity	granularity	NOUN
ddj-119	120	22	of	of	ADP
ddj-119	120	23	spacetime	spacetime	NOUN
ddj-119	120	24	is	be	AUX
ddj-119	120	25	on	on	ADP
ddj-119	120	26	the	the	DET
ddj-119	120	27	scale	scale	NOUN
ddj-119	120	28	of	of	ADP
ddj-119	120	29	planck	planck	NOUN
ddj-119	120	30	length	length	NOUN
ddj-119	120	31	(	(	PUNCT
ddj-119	120	32	10	10	NUM
ddj-119	120	33	-33	-33	NUM
ddj-119	120	34	centimeter	centimeter	NOUN
ddj-119	120	35	)	)	PUNCT
ddj-119	120	36	and	and	CCONJ
ddj-119	120	37	planck	planck	NOUN
ddj-119	120	38	interval	interval	NOUN
ddj-119	120	39	(	(	PUNCT
ddj-119	120	40	10	10	NUM
ddj-119	120	41	-43	-43	NUM
ddj-119	120	42	second	second	NOUN
ddj-119	120	43	)	)	PUNCT
ddj-119	121	1	[	[	X
ddj-119	121	2	4	4	NUM
ddj-119	121	3	]	]	PUNCT
ddj-119	121	4	.	.	PUNCT
ddj-119	122	1	in	in	ADP
ddj-119	122	2	agreement	agreement	NOUN
ddj-119	122	3	,	,	PUNCT
ddj-119	122	4	we	we	PRON
ddj-119	122	5	postulate	postulate	VERB
ddj-119	122	6	that	that	DET
ddj-119	122	7	spacetime	spacetime	NOUN
ddj-119	122	8	consists	consist	VERB
ddj-119	122	9	of	of	ADP
ddj-119	122	10	energetic	energetic	ADJ
ddj-119	122	11	‘	'	PUNCT
ddj-119	122	12	four	four	NUM
ddj-119	122	13	-	-	PUNCT
ddj-119	122	14	dimensional	dimensional	ADJ
ddj-119	122	15	’	'	PUNCT
ddj-119	122	16	parcels	parcel	NOUN
ddj-119	122	17	dynamic	dynamic	ADJ
ddj-119	122	18	mathematical	mathematical	ADJ
ddj-119	122	19	objects	object	NOUN
ddj-119	122	20	which	which	PRON
ddj-119	122	21	consist	consist	VERB
ddj-119	122	22	of	of	ADP
ddj-119	122	23	cubical	cubical	ADJ
ddj-119	122	24	volumes	volume	NOUN
ddj-119	122	25	(	(	PUNCT
ddj-119	122	26	voxels	voxel	NOUN
ddj-119	122	27	)	)	PUNCT
ddj-119	122	28	of	of	ADP
ddj-119	122	29	space	space	NOUN
ddj-119	122	30	that	that	PRON
ddj-119	122	31	oscillate	oscillate	VERB
ddj-119	122	32	in	in	ADP
ddj-119	122	33	time	time	NOUN
ddj-119	122	34	and	and	CCONJ
ddj-119	122	35	that	that	DET
ddj-119	122	36	spacetime	spacetime	NOUN
ddj-119	122	37	is	be	AUX
ddj-119	122	38	a	a	DET
ddj-119	122	39	deformable	deformable	ADJ
ddj-119	122	40	substance	substance	NOUN
ddj-119	122	41	consisting	consist	VERB
ddj-119	122	42	of	of	ADP
ddj-119	122	43	tightly	tightly	ADV
ddj-119	122	44	tesselated	tesselate	VERB
ddj-119	122	45	voxels	voxel	NOUN
ddj-119	122	46	.	.	PUNCT
ddj-119	123	1	this	this	PRON
ddj-119	123	2	corresponds	correspond	VERB
ddj-119	123	3	to	to	ADP
ddj-119	123	4	einstein	einstein	PROPN
ddj-119	123	5	’s	’s	PART
ddj-119	123	6	concept	concept	NOUN
ddj-119	123	7	of	of	ADP
ddj-119	123	8	a	a	DET
ddj-119	123	9	deformable	deformable	ADJ
ddj-119	123	10	spacetime	spacetime	NOUN
ddj-119	123	11	,	,	PUNCT
ddj-119	123	12	that	that	ADV
ddj-119	123	13	is	is	ADV
ddj-119	123	14	,	,	PUNCT
ddj-119	123	15	a	a	DET
ddj-119	123	16	substantive	substantive	ADJ
ddj-119	123	17	material	material	NOUN
ddj-119	123	18	-	-	PUNCT
ddj-119	123	19	like	like	ADJ
ddj-119	123	20	spacetime	spacetime	NOUN
ddj-119	123	21	.	.	PUNCT
ddj-119	124	1	the	the	DET
ddj-119	124	2	tensor	tensor	NOUN
ddj-119	124	3	calculus	calculus	NOUN
ddj-119	124	4	of	of	ADP
ddj-119	124	5	his	his	PRON
ddj-119	124	6	general	general	ADJ
ddj-119	124	7	theory	theory	NOUN
ddj-119	124	8	of	of	ADP
ddj-119	124	9	relativity	relativity	NOUN
ddj-119	124	10	demanded	demand	VERB
ddj-119	124	11	it	it	PRON
ddj-119	124	12	.	.	PUNCT
ddj-119	125	1	according	accord	VERB
ddj-119	125	2	to	to	ADP
ddj-119	125	3	the	the	DET
ddj-119	125	4	theory	theory	NOUN
ddj-119	125	5	,	,	PUNCT
ddj-119	125	6	gravitational	gravitational	ADJ
ddj-119	125	7	deformation	deformation	NOUN
ddj-119	125	8	of	of	ADP
ddj-119	125	9	spacetime	spacetime	NOUN
ddj-119	125	10	adjacent	adjacent	ADJ
ddj-119	125	11	to	to	ADP
ddj-119	125	12	the	the	DET
ddj-119	125	13	sun	sun	NOUN
ddj-119	125	14	is	be	AUX
ddj-119	125	15	analogous	analogous	ADJ
ddj-119	125	16	to	to	ADP
ddj-119	125	17	the	the	DET
ddj-119	125	18	deformation	deformation	NOUN
ddj-119	125	19	of	of	ADP
ddj-119	125	20	a	a	DET
ddj-119	125	21	trampoline	trampoline	NOUN
ddj-119	125	22	surface	surface	NOUN
ddj-119	125	23	by	by	ADP
ddj-119	125	24	a	a	DET
ddj-119	125	25	heavy	heavy	ADJ
ddj-119	125	26	bowling	bowling	NOUN
ddj-119	125	27	ball	ball	NOUN
ddj-119	125	28	tossed	toss	VERB
ddj-119	125	29	upon	upon	SCONJ
ddj-119	125	30	it	it	PRON
ddj-119	125	31	.	.	PUNCT
ddj-119	126	1	modified	modify	VERB
ddj-119	126	2	spacetime	spacetime	ADJ
ddj-119	126	3	voxels	voxel	NOUN
ddj-119	126	4	(	(	PUNCT
ddj-119	126	5	cubic	cubic	ADJ
ddj-119	126	6	spacetime	spacetime	NOUN
ddj-119	126	7	units	unit	NOUN
ddj-119	126	8	)	)	PUNCT
ddj-119	126	9	are	be	AUX
ddj-119	126	10	also	also	ADV
ddj-119	126	11	proposed	propose	VERB
ddj-119	126	12	as	as	ADP
ddj-119	126	13	fundamental	fundamental	ADJ
ddj-119	126	14	building	building	NOUN
ddj-119	126	15	blocks	block	NOUN
ddj-119	126	16	of	of	ADP
ddj-119	126	17	subatomic	subatomic	ADJ
ddj-119	126	18	quantum	quantum	ADJ
ddj-119	126	19	parcels	parcel	NOUN
ddj-119	126	20	such	such	ADJ
ddj-119	126	21	as	as	ADP
ddj-119	126	22	neutrinos	neutrino	NOUN
ddj-119	126	23	,	,	PUNCT
ddj-119	126	24	electrons	electron	NOUN
ddj-119	126	25	,	,	PUNCT
ddj-119	126	26	positrons	positron	NOUN
ddj-119	126	27	.	.	PUNCT
ddj-119	127	1	it	it	PRON
ddj-119	127	2	will	will	AUX
ddj-119	127	3	be	be	AUX
ddj-119	127	4	seen	see	VERB
ddj-119	127	5	that	that	SCONJ
ddj-119	127	6	this	this	PRON
ddj-119	127	7	leads	lead	VERB
ddj-119	127	8	to	to	ADP
ddj-119	127	9	the	the	DET
ddj-119	127	10	prediction	prediction	NOUN
ddj-119	127	11	of	of	ADP
ddj-119	127	12	heavy	heavy	ADJ
ddj-119	127	13	electron	electron	NOUN
ddj-119	127	14	masses	masse	NOUN
ddj-119	127	15	which	which	PRON
ddj-119	127	16	agree	agree	VERB
ddj-119	127	17	with	with	ADP
ddj-119	127	18	and	and	CCONJ
ddj-119	127	19	surpass	surpass	VERB
ddj-119	127	20	the	the	DET
ddj-119	127	21	standard	standard	ADJ
ddj-119	127	22	model	model	NOUN
ddj-119	127	23	of	of	ADP
ddj-119	127	24	particle	particle	NOUN
ddj-119	127	25	physics	physics	NOUN
ddj-119	127	26	.	.	PUNCT
ddj-119	128	1	dimensional	dimensional	ADJ
ddj-119	128	2	analysis	analysis	NOUN
ddj-119	128	3	of	of	ADP
ddj-119	128	4	the	the	DET
ddj-119	128	5	equation	equation	NOUN
ddj-119	128	6	,	,	PUNCT
ddj-119	128	7	e	e	PROPN
ddj-119	128	8	=	=	NOUN
ddj-119	128	9	mc	mc	PROPN
ddj-119	128	10	2	2	NUM
ddj-119	128	11	indicates	indicate	VERB
ddj-119	128	12	a	a	DET
ddj-119	128	13	profound	profound	ADJ
ddj-119	128	14	relation	relation	NOUN
ddj-119	128	15	between	between	ADP
ddj-119	128	16	the	the	DET
ddj-119	128	17	ratio	ratio	NOUN
ddj-119	128	18	(	(	PUNCT
ddj-119	128	19	e	e	NOUN
ddj-119	128	20	/	/	SYM
ddj-119	128	21	m	m	NOUN
ddj-119	128	22	)	)	PUNCT
ddj-119	128	23	and	and	CCONJ
ddj-119	128	24	the	the	DET
ddj-119	128	25	space	space	NOUN
ddj-119	128	26	/	/	SYM
ddj-119	128	27	time	time	NOUN
ddj-119	128	28	ratio	ratio	NOUN
ddj-119	128	29	[	[	X
ddj-119	128	30	l	l	X
ddj-119	128	31	/	/	SYM
ddj-119	128	32	t	t	NOUN
ddj-119	128	33	]	]	PUNCT
ddj-119	128	34	2	2	NUM
ddj-119	128	35	.	.	PUNCT
ddj-119	129	1	the	the	DET
ddj-119	129	2	explicit	explicit	ADJ
ddj-119	129	3	meaning	meaning	NOUN
ddj-119	129	4	of	of	ADP
ddj-119	129	5	the	the	DET
ddj-119	129	6	equation	equation	NOUN
ddj-119	129	7	is	be	AUX
ddj-119	129	8	that	that	SCONJ
ddj-119	129	9	nuclear	nuclear	ADJ
ddj-119	129	10	binding	bind	VERB
ddj-119	129	11	energies	energy	NOUN
ddj-119	129	12	and	and	CCONJ
ddj-119	129	13	mass	mass	ADJ
ddj-119	129	14	defects	defect	NOUN
ddj-119	129	15	are	be	AUX
ddj-119	129	16	related	relate	VERB
ddj-119	129	17	that	that	SCONJ
ddj-119	129	18	matter	matter	NOUN
ddj-119	129	19	(	(	PUNCT
ddj-119	129	20	mass	mass	ADJ
ddj-119	129	21	)	)	PUNCT
ddj-119	129	22	and	and	CCONJ
ddj-119	129	23	energy	energy	NOUN
ddj-119	129	24	are	be	AUX
ddj-119	129	25	interchangeable	interchangeable	ADJ
ddj-119	129	26	and	and	CCONJ
ddj-119	129	27	complementary	complementary	ADJ
ddj-119	129	28	.	.	PUNCT
ddj-119	130	1	the	the	DET
ddj-119	130	2	implicit	implicit	ADJ
ddj-119	130	3	meaning	meaning	NOUN
ddj-119	130	4	of	of	ADP
ddj-119	130	5	e	e	NOUN
ddj-119	130	6	=	=	SYM
ddj-119	130	7	mc	mc	PROPN
ddj-119	130	8	2	2	NUM
ddj-119	130	9	is	be	AUX
ddj-119	130	10	that	that	PRON
ddj-119	130	11	energy	energy	NOUN
ddj-119	130	12	and	and	CCONJ
ddj-119	130	13	mass	mass	NOUN
ddj-119	130	14	are	be	AUX
ddj-119	130	15	essentially	essentially	ADV
ddj-119	130	16	properties	property	NOUN
ddj-119	130	17	of	of	ADP
ddj-119	130	18	space	space	NOUN
ddj-119	130	19	and	and	CCONJ
ddj-119	130	20	time	time	NOUN
ddj-119	130	21	,	,	PUNCT
ddj-119	130	22	that	that	ADV
ddj-119	130	23	is	is	ADV
ddj-119	130	24	,	,	PUNCT
ddj-119	130	25	space	space	NOUN
ddj-119	130	26	-	-	PUNCT
ddj-119	130	27	displacement	displacement	NOUN
ddj-119	130	28	[	[	X
ddj-119	130	29	δl	δl	X
ddj-119	130	30	]	]	X
ddj-119	130	31	2	2	NUM
ddj-119	130	32	and	and	CCONJ
ddj-119	130	33	time	time	NOUN
ddj-119	130	34	-	-	PUNCT
ddj-119	130	35	interval	interval	NOUN
ddj-119	130	36	[	[	X
ddj-119	130	37	δt	δt	X
ddj-119	130	38	]	]	X
ddj-119	130	39	2	2	NUM
ddj-119	130	40	.	.	PUNCT
ddj-119	131	1	we	we	PRON
ddj-119	131	2	postulate	postulate	VERB
ddj-119	131	3	that	that	PRON
ddj-119	131	4	select	select	ADJ
ddj-119	131	5	spacetime	spacetime	ADJ
ddj-119	131	6	parcels	parcel	NOUN
ddj-119	131	7	(	(	PUNCT
ddj-119	131	8	voxels	voxel	NOUN
ddj-119	131	9	)	)	PUNCT
ddj-119	131	10	have	have	VERB
ddj-119	131	11	energy	energy	NOUN
ddj-119	131	12	and	and	CCONJ
ddj-119	131	13	mass	mass	NOUN
ddj-119	131	14	and	and	CCONJ
ddj-119	131	15	contribute	contribute	VERB
ddj-119	131	16	energy	energy	NOUN
ddj-119	131	17	and	and	CCONJ
ddj-119	131	18	mass	mass	NOUN
ddj-119	131	19	when	when	SCONJ
ddj-119	131	20	combined	combine	VERB
ddj-119	131	21	as	as	ADP
ddj-119	131	22	components	component	NOUN
ddj-119	131	23	of	of	ADP
ddj-119	131	24	sub	sub	ADJ
ddj-119	131	25	-	-	ADJ
ddj-119	131	26	atomic	atomic	ADJ
ddj-119	131	27	quantum	quantum	ADJ
ddj-119	131	28	parcels	parcel	NOUN
ddj-119	131	29	.	.	PUNCT
ddj-119	132	1	this	this	DET
ddj-119	132	2	idea	idea	NOUN
ddj-119	132	3	is	be	AUX
ddj-119	132	4	applied	apply	VERB
ddj-119	132	5	in	in	ADP
ddj-119	132	6	an	an	DET
ddj-119	132	7	dna	dna	PROPN
ddj-119	132	8	decipher	decipher	NOUN
ddj-119	132	9	journal	journal	NOUN
ddj-119	132	10	|	|	ADP
ddj-119	132	11	july	july	PROPN
ddj-119	132	12	2017	2017	NUM
ddj-119	132	13	|	|	ADV
ddj-119	132	14	volume	volume	NOUN
ddj-119	132	15	7	7	NUM
ddj-119	132	16	|	|	NOUN
ddj-119	132	17	issue	issue	VERB
ddj-119	132	18	1	1	NUM
ddj-119	132	19	|	|	CCONJ
ddj-119	132	20	pp	pp	ADJ
ddj-119	132	21	.	.	PUNCT
ddj-119	133	1	17	17	NUM
ddj-119	133	2	-	-	SYM
ddj-119	133	3	26	26	NUM
ddj-119	133	4	vary	vary	NOUN
ddj-119	133	5	,	,	PUNCT
ddj-119	133	6	a.	a.	NOUN
ddj-119	133	7	,	,	PUNCT
ddj-119	133	8	fibonacci	fibonacci	NOUN
ddj-119	133	9	sunflowers	sunflower	NOUN
ddj-119	133	10	,	,	PUNCT
ddj-119	133	11	mathematical	mathematical	ADJ
ddj-119	133	12	objects	object	NOUN
ddj-119	133	13	&	&	CCONJ
ddj-119	133	14	cubic	cubic	ADJ
ddj-119	133	15	electrons	electron	NOUN
ddj-119	133	16	issn	issn	NOUN
ddj-119	133	17	:	:	PUNCT
ddj-119	133	18	2159	2159	NUM
ddj-119	133	19	-	-	PUNCT
ddj-119	133	20	046x	046x	NOUN
ddj-119	133	21	dna	dna	NOUN
ddj-119	133	22	decipher	decipher	PROPN
ddj-119	133	23	journal	journal	NOUN
ddj-119	133	24	published	publish	VERB
ddj-119	133	25	by	by	ADP
ddj-119	133	26	quantumdream	quantumdream	PROPN
ddj-119	133	27	,	,	PUNCT
ddj-119	133	28	inc	inc	PROPN
ddj-119	133	29	.	.	PROPN
ddj-119	133	30	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-119	133	31	24	24	NUM
ddj-119	133	32	abstract	abstract	ADJ
ddj-119	133	33	cubic	cubic	ADJ
ddj-119	133	34	representation	representation	NOUN
ddj-119	133	35	of	of	ADP
ddj-119	133	36	electrons	electron	NOUN
ddj-119	133	37	according	accord	VERB
ddj-119	133	38	to	to	ADP
ddj-119	133	39	the	the	DET
ddj-119	133	40	following	follow	VERB
ddj-119	133	41	thought	think	VERB
ddj-119	133	42	experiment	experiment	NOUN
ddj-119	133	43	which	which	PRON
ddj-119	133	44	models	model	VERB
ddj-119	133	45	electrons	electron	NOUN
ddj-119	133	46	as	as	ADP
ddj-119	133	47	cubelike	cubelike	PROPN
ddj-119	133	48	mathematical	mathematical	ADJ
ddj-119	133	49	objects	object	NOUN
ddj-119	133	50	[	[	X
ddj-119	133	51	5	5	NUM
ddj-119	133	52	]	]	PUNCT
ddj-119	133	53	.	.	PUNCT
ddj-119	134	1	the	the	DET
ddj-119	134	2	basic	basic	ADJ
ddj-119	134	3	electron	electron	NOUN
ddj-119	134	4	,	,	PUNCT
ddj-119	134	5	as	as	SCONJ
ddj-119	134	6	depicted	depict	VERB
ddj-119	134	7	in	in	ADP
ddj-119	134	8	figure	figure	NOUN
ddj-119	134	9	4	4	NUM
ddj-119	134	10	,	,	PUNCT
ddj-119	134	11	is	be	AUX
ddj-119	134	12	essentially	essentially	ADV
ddj-119	134	13	naked	naked	ADJ
ddj-119	134	14	and	and	CCONJ
ddj-119	134	15	may	may	AUX
ddj-119	134	16	enjoy	enjoy	VERB
ddj-119	134	17	only	only	ADV
ddj-119	134	18	a	a	DET
ddj-119	134	19	transitory	transitory	ADJ
ddj-119	134	20	existence	existence	NOUN
ddj-119	134	21	.	.	PUNCT
ddj-119	135	1	the	the	DET
ddj-119	135	2	naked	naked	ADJ
ddj-119	135	3	electron	electron	NOUN
ddj-119	135	4	is	be	AUX
ddj-119	135	5	represented	represent	VERB
ddj-119	135	6	by	by	ADP
ddj-119	135	7	the	the	DET
ddj-119	135	8	intersection	intersection	NOUN
ddj-119	135	9	of	of	ADP
ddj-119	135	10	three	three	NUM
ddj-119	135	11	mutually	mutually	ADV
ddj-119	135	12	orthogonal	orthogonal	ADJ
ddj-119	135	13	strings	string	NOUN
ddj-119	135	14	and	and	CCONJ
ddj-119	135	15	branes	brane	NOUN
ddj-119	135	16	which	which	PRON
ddj-119	135	17	carry	carry	VERB
ddj-119	135	18	mass	mass	NOUN
ddj-119	135	19	,	,	PUNCT
ddj-119	135	20	spin	spin	NOUN
ddj-119	135	21	,	,	PUNCT
ddj-119	135	22	and	and	CCONJ
ddj-119	135	23	charge	charge	NOUN
ddj-119	135	24	(	(	PUNCT
ddj-119	135	25	a	a	DET
ddj-119	135	26	borrowing	borrowing	NOUN
ddj-119	135	27	from	from	ADP
ddj-119	135	28	string	string	NOUN
ddj-119	135	29	and	and	CCONJ
ddj-119	135	30	m	m	NOUN
ddj-119	135	31	-	-	NOUN
ddj-119	135	32	theory	theory	NOUN
ddj-119	135	33	)	)	PUNCT
ddj-119	135	34	.	.	PUNCT
ddj-119	136	1	these	these	DET
ddj-119	136	2	properties	property	NOUN
ddj-119	136	3	are	be	AUX
ddj-119	136	4	purely	purely	ADV
ddj-119	136	5	energetic	energetic	ADJ
ddj-119	136	6	potentialities	potentiality	NOUN
ddj-119	136	7	and	and	CCONJ
ddj-119	136	8	at	at	ADP
ddj-119	136	9	this	this	DET
ddj-119	136	10	stage	stage	NOUN
ddj-119	136	11	are	be	AUX
ddj-119	136	12	undefined	undefined	ADJ
ddj-119	136	13	as	as	ADP
ddj-119	136	14	physically	physically	ADV
ddj-119	136	15	measurable	measurable	ADJ
ddj-119	136	16	properties	property	NOUN
ddj-119	136	17	.	.	PUNCT
ddj-119	137	1	according	accord	VERB
ddj-119	137	2	to	to	ADP
ddj-119	137	3	our	our	PRON
ddj-119	137	4	cubic	cubic	ADJ
ddj-119	137	5	electron	electron	NOUN
ddj-119	137	6	model	model	NOUN
ddj-119	137	7	,	,	PUNCT
ddj-119	137	8	after	after	SCONJ
ddj-119	137	9	the	the	DET
ddj-119	137	10	naked	naked	ADJ
ddj-119	137	11	electron	electron	NOUN
ddj-119	137	12	is	be	AUX
ddj-119	137	13	cloaked	cloak	VERB
ddj-119	137	14	with	with	ADP
ddj-119	137	15	a	a	DET
ddj-119	137	16	cubic	cubic	ADJ
ddj-119	137	17	spacetime	spacetime	NOUN
ddj-119	137	18	voxel	voxel	PROPN
ddj-119	137	19	,	,	PUNCT
ddj-119	137	20	its	its	PRON
ddj-119	137	21	electric	electric	ADJ
ddj-119	137	22	charge	charge	NOUN
ddj-119	137	23	,	,	PUNCT
ddj-119	137	24	spin	spin	NOUN
ddj-119	137	25	,	,	PUNCT
ddj-119	137	26	and	and	CCONJ
ddj-119	137	27	mass	mass	PROPN
ddj-119	137	28	appear	appear	VERB
ddj-119	137	29	as	as	ADP
ddj-119	137	30	measurable	measurable	ADJ
ddj-119	137	31	properties	property	NOUN
ddj-119	137	32	.	.	PUNCT
ddj-119	138	1	it	it	PRON
ddj-119	138	2	then	then	ADV
ddj-119	138	3	becomes	become	VERB
ddj-119	138	4	a	a	DET
ddj-119	138	5	generation	generation	NOUN
ddj-119	138	6	1	1	NUM
ddj-119	138	7	electron	electron	NOUN
ddj-119	138	8	with	with	ADP
ddj-119	138	9	measurable	measurable	ADJ
ddj-119	138	10	mass	mass	NOUN
ddj-119	138	11	of	of	ADP
ddj-119	138	12	0.511	0.511	NUM
ddj-119	138	13	mev	mev	NOUN
ddj-119	138	14	and	and	CCONJ
ddj-119	138	15	also	also	ADV
ddj-119	138	16	conforms	conform	VERB
ddj-119	138	17	with	with	ADP
ddj-119	138	18	standard	standard	ADJ
ddj-119	138	19	model	model	PROPN
ddj-119	138	20	electric	electric	PROPN
ddj-119	138	21	charge	charge	PROPN
ddj-119	138	22	(	(	PUNCT
ddj-119	138	23	-1	-1	ADJ
ddj-119	138	24	)	)	PUNCT
ddj-119	138	25	and	and	CCONJ
ddj-119	138	26	spin	spin	NOUN
ddj-119	138	27	(	(	PUNCT
ddj-119	138	28	½	½	NOUN
ddj-119	138	29	)	)	PUNCT
ddj-119	138	30	properties	property	NOUN
ddj-119	138	31	.	.	PUNCT
ddj-119	139	1	a	a	DET
ddj-119	139	2	generation	generation	NOUN
ddj-119	139	3	2	2	NUM
ddj-119	139	4	electron	electron	NOUN
ddj-119	139	5	consists	consist	VERB
ddj-119	139	6	of	of	ADP
ddj-119	139	7	8	8	NUM
ddj-119	139	8	generation	generation	NOUN
ddj-119	139	9	1	1	NUM
ddj-119	139	10	modules	module	NOUN
ddj-119	139	11	and	and	CCONJ
ddj-119	139	12	2	2	NUM
ddj-119	139	13	3	3	NUM
ddj-119	139	14			NOUN
ddj-119	139	15	0.511	0.511	NUM
ddj-119	139	16	=	=	SYM
ddj-119	139	17	4.088	4.088	NUM
ddj-119	139	18	mev	mev	NOUN
ddj-119	139	19	.	.	PUNCT
ddj-119	140	1	a	a	DET
ddj-119	140	2	generation	generation	NOUN
ddj-119	140	3	3	3	NUM
ddj-119	140	4	electron	electron	NOUN
ddj-119	140	5	consists	consist	VERB
ddj-119	140	6	of	of	ADP
ddj-119	140	7	27	27	NUM
ddj-119	140	8	generation	generation	NOUN
ddj-119	140	9	1	1	NUM
ddj-119	140	10	modules	module	NOUN
ddj-119	140	11	and	and	CCONJ
ddj-119	140	12	3	3	NUM
ddj-119	140	13	3	3	NUM
ddj-119	140	14			NOUN
ddj-119	140	15	0.511	0.511	NUM
ddj-119	140	16	=	=	SYM
ddj-119	141	1	13.797	13.797	NUM
ddj-119	141	2	mev	mev	NOUN
ddj-119	141	3	.	.	PUNCT
ddj-119	142	1	the	the	DET
ddj-119	142	2	charge	charge	NOUN
ddj-119	142	3	(	(	PUNCT
ddj-119	142	4	-1	-1	ADJ
ddj-119	142	5	)	)	PUNCT
ddj-119	142	6	and	and	CCONJ
ddj-119	142	7	spin	spin	NOUN
ddj-119	142	8	(	(	PUNCT
ddj-119	142	9	½	½	NOUN
ddj-119	142	10	)	)	PUNCT
ddj-119	142	11	remain	remain	VERB
ddj-119	142	12	the	the	DET
ddj-119	142	13	same	same	ADJ
ddj-119	142	14	for	for	ADP
ddj-119	142	15	all	all	DET
ddj-119	142	16	generations	generation	NOUN
ddj-119	142	17	of	of	ADP
ddj-119	142	18	heavy	heavy	ADJ
ddj-119	142	19	electrons	electron	NOUN
ddj-119	142	20	.	.	PUNCT
ddj-119	143	1	we	we	PRON
ddj-119	143	2	use	use	VERB
ddj-119	143	3	the	the	DET
ddj-119	143	4	generation	generation	NOUN
ddj-119	143	5	3	3	NUM
ddj-119	143	6	cubic	cubic	ADJ
ddj-119	143	7	electron	electron	NOUN
ddj-119	143	8	module	module	NOUN
ddj-119	143	9	for	for	ADP
ddj-119	143	10	generating	generate	VERB
ddj-119	143	11	super	super	ADV
ddj-119	143	12	heavy	heavy	ADJ
ddj-119	143	13	electrons	electron	NOUN
ddj-119	143	14	(	(	PUNCT
ddj-119	143	15	figure	figure	NOUN
ddj-119	143	16	4	4	NUM
ddj-119	143	17	)	)	PUNCT
ddj-119	143	18	.	.	PUNCT
ddj-119	144	1	a	a	DET
ddj-119	144	2	generation	generation	NOUN
ddj-119	144	3	4	4	NUM
ddj-119	144	4	electron	electron	NOUN
ddj-119	144	5	consists	consist	VERB
ddj-119	144	6	of	of	ADP
ddj-119	144	7	8	8	NUM
ddj-119	144	8	generation	generation	NOUN
ddj-119	144	9	3	3	NUM
ddj-119	144	10	modules	module	NOUN
ddj-119	144	11	and	and	CCONJ
ddj-119	144	12	2	2	NUM
ddj-119	144	13	3	3	NUM
ddj-119	144	14			NOUN
ddj-119	144	15	13.797	13.797	NUM
ddj-119	144	16	=	=	SYM
ddj-119	144	17	110.4	110.4	NUM
ddj-119	144	18	mev	mev	NOUN
ddj-119	144	19	.	.	PUNCT
ddj-119	145	1	a	a	DET
ddj-119	145	2	generation	generation	NOUN
ddj-119	145	3	5	5	NUM
ddj-119	145	4	electron	electron	NOUN
ddj-119	145	5	consists	consist	VERB
ddj-119	145	6	of	of	ADP
ddj-119	145	7	27	27	NUM
ddj-119	145	8	generation	generation	NOUN
ddj-119	145	9	3	3	NUM
ddj-119	145	10	modules	module	NOUN
ddj-119	145	11	and	and	CCONJ
ddj-119	145	12	3	3	NUM
ddj-119	145	13	3	3	NUM
ddj-119	145	14			NOUN
ddj-119	145	15	13.797	13.797	NUM
ddj-119	145	16	=	=	NUM
ddj-119	145	17	372.5	372.5	NUM
ddj-119	145	18	mev	mev	NOUN
ddj-119	145	19	.	.	PUNCT
ddj-119	146	1	a	a	DET
ddj-119	146	2	generation	generation	NOUN
ddj-119	146	3	6	6	NUM
ddj-119	146	4	electron	electron	NOUN
ddj-119	146	5	consists	consist	VERB
ddj-119	146	6	of	of	ADP
ddj-119	146	7	64	64	NUM
ddj-119	146	8	generation	generation	NOUN
ddj-119	146	9	3	3	NUM
ddj-119	146	10	modules	module	NOUN
ddj-119	146	11	and	and	CCONJ
ddj-119	146	12	4	4	NUM
ddj-119	146	13	3	3	NUM
ddj-119	146	14			NOUN
ddj-119	146	15	13.797	13.797	NUM
ddj-119	146	16	=	=	SYM
ddj-119	146	17	883.0	883.0	NUM
ddj-119	146	18	mev	mev	NOUN
ddj-119	146	19	.	.	PUNCT
ddj-119	147	1	a	a	DET
ddj-119	147	2	generation	generation	NOUN
ddj-119	147	3	7	7	NUM
ddj-119	147	4	electron	electron	NOUN
ddj-119	147	5	consists	consist	VERB
ddj-119	147	6	of	of	ADP
ddj-119	147	7	125	125	NUM
ddj-119	147	8	generation	generation	NOUN
ddj-119	147	9	3	3	NUM
ddj-119	147	10	modules	module	NOUN
ddj-119	147	11	and	and	CCONJ
ddj-119	147	12	5	5	NUM
ddj-119	147	13	3	3	NUM
ddj-119	147	14			NOUN
ddj-119	147	15	13.797	13.797	NUM
ddj-119	147	16	=	=	SYM
ddj-119	147	17	1724	1724	NUM
ddj-119	147	18	mev	mev	PROPN
ddj-119	147	19	.	.	PUNCT
ddj-119	148	1	fermat	fermat	PROPN
ddj-119	148	2	’s	’s	PART
ddj-119	148	3	last	last	ADJ
ddj-119	148	4	theorem	theorem	NOUN
ddj-119	148	5	seems	seem	VERB
ddj-119	148	6	to	to	PART
ddj-119	148	7	govern	govern	VERB
ddj-119	148	8	the	the	DET
ddj-119	148	9	formation	formation	NOUN
ddj-119	148	10	of	of	ADP
ddj-119	148	11	cubic	cubic	ADJ
ddj-119	148	12	electrons	electron	NOUN
ddj-119	148	13	.	.	PUNCT
ddj-119	149	1	for	for	ADP
ddj-119	149	2	example	example	NOUN
ddj-119	149	3	,	,	PUNCT
ddj-119	149	4	a	a	DET
ddj-119	149	5	generation	generation	NOUN
ddj-119	149	6	4	4	NUM
ddj-119	149	7	and	and	CCONJ
ddj-119	149	8	a	a	DET
ddj-119	149	9	generation	generation	NOUN
ddj-119	149	10	5	5	NUM
ddj-119	149	11	cubic	cubic	ADJ
ddj-119	149	12	electron	electron	NOUN
ddj-119	149	13	can	can	AUX
ddj-119	149	14	not	not	PART
ddj-119	149	15	be	be	AUX
ddj-119	149	16	added	add	VERB
ddj-119	149	17	together	together	ADV
ddj-119	149	18	to	to	PART
ddj-119	149	19	form	form	VERB
ddj-119	149	20	a	a	DET
ddj-119	149	21	more	more	ADV
ddj-119	149	22	massive	massive	ADJ
ddj-119	149	23	cubic	cubic	ADJ
ddj-119	149	24	electron	electron	NOUN
ddj-119	149	25	because	because	SCONJ
ddj-119	149	26	,	,	PUNCT
ddj-119	149	27	according	accord	VERB
ddj-119	149	28	to	to	ADP
ddj-119	149	29	the	the	DET
ddj-119	149	30	theorem	theorem	NOUN
ddj-119	149	31	,	,	PUNCT
ddj-119	149	32	the	the	DET
ddj-119	149	33	sums	sum	NOUN
ddj-119	149	34	of	of	ADP
ddj-119	149	35	cubes	cube	NOUN
ddj-119	149	36	of	of	ADP
ddj-119	149	37	successive	successive	ADJ
ddj-119	149	38	integers	integer	NOUN
ddj-119	149	39	are	be	AUX
ddj-119	149	40	not	not	PART
ddj-119	149	41	closed	close	VERB
ddj-119	149	42	under	under	ADP
ddj-119	149	43	addition	addition	NOUN
ddj-119	149	44	.	.	PUNCT
ddj-119	150	1	fermat	fermat	PROPN
ddj-119	150	2	’s	’s	PART
ddj-119	150	3	last	last	ADJ
ddj-119	150	4	theorem	theorem	ADJ
ddj-119	150	5	states	state	NOUN
ddj-119	150	6	that	that	SCONJ
ddj-119	150	7	for	for	ADP
ddj-119	150	8	n	n	PROPN
ddj-119	150	9	>	>	X
ddj-119	150	10	2	2	NUM
ddj-119	150	11	no	no	DET
ddj-119	150	12	integers	integer	NOUN
ddj-119	150	13	a	a	DET
ddj-119	150	14	,	,	PUNCT
ddj-119	150	15	b	b	NOUN
ddj-119	150	16	,	,	PUNCT
ddj-119	150	17	c	c	NOUN
ddj-119	150	18	,	,	PUNCT
ddj-119	150	19	n	n	PRON
ddj-119	150	20	can	can	AUX
ddj-119	150	21	be	be	AUX
ddj-119	150	22	dna	dna	PROPN
ddj-119	150	23	decipher	decipher	ADJ
ddj-119	150	24	journal	journal	NOUN
ddj-119	150	25	|	|	ADP
ddj-119	150	26	july	july	PROPN
ddj-119	150	27	2017	2017	NUM
ddj-119	150	28	|	|	ADV
ddj-119	150	29	volume	volume	NOUN
ddj-119	150	30	7	7	NUM
ddj-119	150	31	|	|	NOUN
ddj-119	150	32	issue	issue	VERB
ddj-119	150	33	1	1	NUM
ddj-119	150	34	|	|	CCONJ
ddj-119	150	35	pp	pp	ADJ
ddj-119	150	36	.	.	PUNCT
ddj-119	151	1	17	17	NUM
ddj-119	151	2	-	-	SYM
ddj-119	151	3	26	26	NUM
ddj-119	151	4	vary	vary	NOUN
ddj-119	151	5	,	,	PUNCT
ddj-119	151	6	a.	a.	NOUN
ddj-119	151	7	,	,	PUNCT
ddj-119	151	8	fibonacci	fibonacci	NOUN
ddj-119	151	9	sunflowers	sunflower	NOUN
ddj-119	151	10	,	,	PUNCT
ddj-119	151	11	mathematical	mathematical	ADJ
ddj-119	151	12	objects	object	NOUN
ddj-119	151	13	&	&	CCONJ
ddj-119	151	14	cubic	cubic	ADJ
ddj-119	151	15	electrons	electron	NOUN
ddj-119	151	16	issn	issn	NOUN
ddj-119	151	17	:	:	PUNCT
ddj-119	151	18	2159	2159	NUM
ddj-119	151	19	-	-	PUNCT
ddj-119	151	20	046x	046x	NOUN
ddj-119	151	21	dna	dna	NOUN
ddj-119	151	22	decipher	decipher	PROPN
ddj-119	151	23	journal	journal	NOUN
ddj-119	151	24	published	publish	VERB
ddj-119	151	25	by	by	ADP
ddj-119	151	26	quantumdream	quantumdream	PROPN
ddj-119	151	27	,	,	PUNCT
ddj-119	151	28	inc	inc	PROPN
ddj-119	151	29	.	.	PROPN
ddj-119	151	30	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-119	151	31	25	25	NUM
ddj-119	151	32	found	find	VERB
ddj-119	151	33	such	such	ADJ
ddj-119	151	34	that	that	SCONJ
ddj-119	151	35	a	a	DET
ddj-119	151	36	n	n	NOUN
ddj-119	151	37	+	+	CCONJ
ddj-119	151	38	b	b	NOUN
ddj-119	151	39	n	n	NOUN
ddj-119	151	40	=	=	SYM
ddj-119	151	41	c	c	NOUN
ddj-119	151	42	n	n	NOUN
ddj-119	151	43	.	.	PUNCT
ddj-119	152	1	the	the	DET
ddj-119	152	2	cubic	cubic	ADJ
ddj-119	152	3	electron	electron	NOUN
ddj-119	152	4	model	model	NOUN
ddj-119	152	5	not	not	PART
ddj-119	152	6	only	only	ADV
ddj-119	152	7	predicts	predict	VERB
ddj-119	152	8	the	the	DET
ddj-119	152	9	muon	muon	NOUN
ddj-119	152	10	and	and	CCONJ
ddj-119	152	11	tau	tau	PROPN
ddj-119	152	12	(	(	PUNCT
ddj-119	152	13	tauon	tauon	NOUN
ddj-119	152	14	)	)	PUNCT
ddj-119	152	15	masses	masse	NOUN
ddj-119	152	16	but	but	CCONJ
ddj-119	152	17	shows	show	VERB
ddj-119	152	18	seven	seven	NUM
ddj-119	152	19	generations	generation	NOUN
ddj-119	152	20	(	(	PUNCT
ddj-119	152	21	with	with	ADP
ddj-119	152	22	more	more	ADV
ddj-119	152	23	possible	possible	ADJ
ddj-119	152	24	)	)	PUNCT
ddj-119	152	25	where	where	SCONJ
ddj-119	152	26	the	the	DET
ddj-119	152	27	standard	standard	ADJ
ddj-119	152	28	model	model	NOUN
ddj-119	152	29	projects	project	NOUN
ddj-119	152	30	only	only	ADV
ddj-119	152	31	two	two	NUM
ddj-119	152	32	generations	generation	NOUN
ddj-119	152	33	of	of	ADP
ddj-119	152	34	heavy	heavy	ADJ
ddj-119	152	35	electrons	electron	NOUN
ddj-119	152	36	.	.	PUNCT
ddj-119	153	1	the	the	DET
ddj-119	153	2	slight	slight	ADJ
ddj-119	153	3	discrepancies	discrepancy	NOUN
ddj-119	153	4	between	between	ADP
ddj-119	153	5	the	the	DET
ddj-119	153	6	standard	standard	ADJ
ddj-119	153	7	model	model	NOUN
ddj-119	153	8	and	and	CCONJ
ddj-119	153	9	cubic	cubic	ADJ
ddj-119	153	10	heavy	heavy	ADJ
ddj-119	153	11	electron	electron	NOUN
ddj-119	153	12	mass	mass	NOUN
ddj-119	153	13	predictions	prediction	NOUN
ddj-119	153	14	may	may	AUX
ddj-119	153	15	be	be	AUX
ddj-119	153	16	due	due	ADJ
ddj-119	153	17	to	to	ADP
ddj-119	153	18	measurement	measurement	NOUN
ddj-119	153	19	anomalies	anomaly	NOUN
ddj-119	153	20	with	with	ADP
ddj-119	153	21	these	these	DET
ddj-119	153	22	highly	highly	ADV
ddj-119	153	23	transient	transient	ADJ
ddj-119	153	24	particles	particle	NOUN
ddj-119	153	25	.	.	PUNCT
ddj-119	154	1	the	the	DET
ddj-119	154	2	standard	standard	ADJ
ddj-119	154	3	model	model	NOUN
ddj-119	154	4	holds	hold	VERB
ddj-119	154	5	that	that	SCONJ
ddj-119	154	6	there	there	PRON
ddj-119	154	7	are	be	VERB
ddj-119	154	8	three	three	NUM
ddj-119	154	9	generations	generation	NOUN
ddj-119	154	10	of	of	ADP
ddj-119	154	11	electrons	electron	NOUN
ddj-119	154	12	:	:	PUNCT
ddj-119	154	13	the	the	DET
ddj-119	154	14	first	first	ADJ
ddj-119	154	15	generation	generation	NOUN
ddj-119	154	16	being	be	AUX
ddj-119	154	17	the	the	DET
ddj-119	154	18	basic	basic	ADJ
ddj-119	154	19	electron	electron	NOUN
ddj-119	154	20	itself	itself	PRON
ddj-119	154	21	,	,	PUNCT
ddj-119	154	22	while	while	SCONJ
ddj-119	154	23	the	the	DET
ddj-119	154	24	second	second	ADJ
ddj-119	154	25	generation	generation	NOUN
ddj-119	154	26	is	be	AUX
ddj-119	154	27	the	the	DET
ddj-119	154	28	heavier	heavy	ADJ
ddj-119	154	29	muon	muon	NOUN
ddj-119	154	30	,	,	PUNCT
ddj-119	154	31	and	and	CCONJ
ddj-119	154	32	the	the	DET
ddj-119	154	33	third	third	ADJ
ddj-119	154	34	,	,	PUNCT
ddj-119	154	35	the	the	DET
ddj-119	154	36	even	even	ADV
ddj-119	154	37	heavier	heavy	ADJ
ddj-119	154	38	tauon	tauon	NOUN
ddj-119	154	39	.	.	PUNCT
ddj-119	155	1	all	all	DET
ddj-119	155	2	three	three	NUM
ddj-119	155	3	possess	possess	VERB
ddj-119	155	4	the	the	DET
ddj-119	155	5	same	same	ADJ
ddj-119	155	6	charge	charge	NOUN
ddj-119	155	7	(	(	PUNCT
ddj-119	155	8	-1	-1	ADJ
ddj-119	155	9	)	)	PUNCT
ddj-119	155	10	and	and	CCONJ
ddj-119	155	11	spin	spin	NOUN
ddj-119	155	12	(	(	PUNCT
ddj-119	155	13	½	½	NOUN
ddj-119	155	14	)	)	PUNCT
ddj-119	155	15	as	as	ADP
ddj-119	155	16	an	an	DET
ddj-119	155	17	electron	electron	NOUN
ddj-119	155	18	but	but	CCONJ
ddj-119	155	19	differ	differ	VERB
ddj-119	155	20	greatly	greatly	ADV
ddj-119	155	21	in	in	ADP
ddj-119	155	22	mass	mass	PROPN
ddj-119	155	23	.	.	PUNCT
ddj-119	156	1	muons	muon	NOUN
ddj-119	156	2	were	be	AUX
ddj-119	156	3	discovered	discover	VERB
ddj-119	156	4	by	by	ADP
ddj-119	156	5	carl	carl	PROPN
ddj-119	156	6	d.	d.	PROPN
ddj-119	156	7	anderson	anderson	PROPN
ddj-119	156	8	and	and	CCONJ
ddj-119	156	9	seth	seth	PROPN
ddj-119	156	10	neddermeyer	neddermeyer	PROPN
ddj-119	156	11	at	at	ADP
ddj-119	156	12	caltech	caltech	PROPN
ddj-119	156	13	in	in	ADP
ddj-119	156	14	1936	1936	NUM
ddj-119	156	15	,	,	PUNCT
ddj-119	156	16	while	while	SCONJ
ddj-119	156	17	studying	study	VERB
ddj-119	156	18	cosmic	cosmic	ADJ
ddj-119	156	19	radiation	radiation	NOUN
ddj-119	156	20	.	.	PUNCT
ddj-119	157	1	the	the	DET
ddj-119	157	2	muon	muon	NOUN
ddj-119	157	3	is	be	AUX
ddj-119	157	4	a	a	DET
ddj-119	157	5	theoretically	theoretically	ADV
ddj-119	157	6	predicted	predict	VERB
ddj-119	157	7	heavy	heavy	ADJ
ddj-119	157	8	electron	electron	NOUN
ddj-119	157	9	with	with	ADP
ddj-119	157	10	a	a	DET
ddj-119	157	11	mass	mass	NOUN
ddj-119	157	12	of	of	ADP
ddj-119	157	13	105.7	105.7	NUM
ddj-119	157	14	mev	mev	NOUN
ddj-119	157	15	.	.	PUNCT
ddj-119	158	1	the	the	DET
ddj-119	158	2	tau	tau	PROPN
ddj-119	158	3	was	be	AUX
ddj-119	158	4	detected	detect	VERB
ddj-119	158	5	in	in	ADP
ddj-119	158	6	a	a	DET
ddj-119	158	7	series	series	NOUN
ddj-119	158	8	of	of	ADP
ddj-119	158	9	experiments	experiment	NOUN
ddj-119	158	10	between	between	ADP
ddj-119	158	11	1974	1974	NUM
ddj-119	158	12	and	and	CCONJ
ddj-119	158	13	1977	1977	NUM
ddj-119	158	14	by	by	ADP
ddj-119	158	15	martin	martin	PROPN
ddj-119	158	16	lewis	lewis	PROPN
ddj-119	158	17	perl	perl	PROPN
ddj-119	158	18	with	with	ADP
ddj-119	158	19	his	his	PRON
ddj-119	158	20	colleagues	colleague	NOUN
ddj-119	158	21	at	at	ADP
ddj-119	158	22	the	the	DET
ddj-119	158	23	slac	slac	PROPN
ddj-119	158	24	national	national	PROPN
ddj-119	158	25	accelerator	accelerator	PROPN
ddj-119	158	26	laboratory	laboratory	PROPN
ddj-119	158	27	and	and	CCONJ
ddj-119	158	28	the	the	DET
ddj-119	158	29	lawrence	lawrence	PROPN
ddj-119	158	30	berkeley	berkeley	PROPN
ddj-119	158	31	laboratory	laboratory	PROPN
ddj-119	158	32	group	group	NOUN
ddj-119	158	33	.	.	PUNCT
ddj-119	159	1	the	the	DET
ddj-119	159	2	tauon	tauon	NOUN
ddj-119	159	3	mass	mass	NOUN
ddj-119	159	4	is	be	AUX
ddj-119	159	5	adduced	adduce	VERB
ddj-119	159	6	as	as	ADP
ddj-119	159	7	1777	1777	NUM
ddj-119	159	8	mev	mev	PROPN
ddj-119	159	9	.	.	PUNCT
ddj-119	160	1	in	in	ADP
ddj-119	160	2	their	their	PRON
ddj-119	160	3	free	free	ADJ
ddj-119	160	4	state	state	NOUN
ddj-119	160	5	,	,	PUNCT
ddj-119	160	6	these	these	DET
ddj-119	160	7	heavy	heavy	ADJ
ddj-119	160	8	electrons	electron	NOUN
ddj-119	160	9	decay	decay	NOUN
ddj-119	160	10	almost	almost	ADV
ddj-119	160	11	instantly	instantly	ADV
ddj-119	160	12	.	.	PUNCT
ddj-119	161	1	some	some	DET
ddj-119	161	2	types	type	NOUN
ddj-119	161	3	of	of	ADP
ddj-119	161	4	heavy	heavy	ADJ
ddj-119	161	5	electrons	electron	NOUN
ddj-119	161	6	are	be	AUX
ddj-119	161	7	found	find	VERB
ddj-119	161	8	within	within	ADP
ddj-119	161	9	a	a	DET
ddj-119	161	10	number	number	NOUN
ddj-119	161	11	of	of	ADP
ddj-119	161	12	lanthanide	lanthanide	NOUN
ddj-119	161	13	and	and	CCONJ
ddj-119	161	14	actinide	actinide	ADJ
ddj-119	161	15	compounds	compound	NOUN
ddj-119	161	16	,	,	PUNCT
ddj-119	161	17	where	where	SCONJ
ddj-119	161	18	they	they	PRON
ddj-119	161	19	exhibit	exhibit	VERB
ddj-119	161	20	a	a	DET
ddj-119	161	21	large	large	ADJ
ddj-119	161	22	effective	effective	ADJ
ddj-119	161	23	mass	mass	NOUN
ddj-119	161	24	,	,	PUNCT
ddj-119	161	25	comparable	comparable	ADJ
ddj-119	161	26	to	to	ADP
ddj-119	161	27	the	the	DET
ddj-119	161	28	mass	mass	NOUN
ddj-119	161	29	of	of	ADP
ddj-119	161	30	a	a	DET
ddj-119	161	31	muon	muon	NOUN
ddj-119	161	32	.	.	PUNCT
ddj-119	162	1	heavy	heavy	ADJ
ddj-119	162	2	electron	electron	NOUN
ddj-119	162	3	mass	mass	NOUN
ddj-119	162	4	may	may	AUX
ddj-119	162	5	reach	reach	VERB
ddj-119	162	6	1,000	1,000	NUM
ddj-119	162	7	mev	mev	NOUN
ddj-119	162	8	in	in	ADP
ddj-119	162	9	exotic	exotic	ADJ
ddj-119	162	10	‘	'	PUNCT
ddj-119	162	11	heavy	heavy	ADJ
ddj-119	162	12	fermion	fermion	NOUN
ddj-119	162	13	’	'	PUNCT
ddj-119	162	14	materials	material	NOUN
ddj-119	162	15	.	.	PUNCT
ddj-119	163	1	a	a	DET
ddj-119	163	2	microscope	microscope	NOUN
ddj-119	163	3	that	that	PRON
ddj-119	163	4	was	be	AUX
ddj-119	163	5	designed	design	VERB
ddj-119	163	6	to	to	PART
ddj-119	163	7	image	image	VERB
ddj-119	163	8	electron	electron	NOUN
ddj-119	163	9	arrangements	arrangement	NOUN
ddj-119	163	10	and	and	CCONJ
ddj-119	163	11	interactions	interaction	NOUN
ddj-119	163	12	in	in	ADP
ddj-119	163	13	crystals	crystal	NOUN
ddj-119	163	14	revealed	reveal	VERB
ddj-119	163	15	electrons	electron	NOUN
ddj-119	163	16	that	that	PRON
ddj-119	163	17	possess	possess	VERB
ddj-119	163	18	extraordinary	extraordinary	ADJ
ddj-119	163	19	mass	mass	NOUN
ddj-119	163	20	under	under	ADP
ddj-119	163	21	certain	certain	ADJ
ddj-119	163	22	extreme	extreme	ADJ
ddj-119	163	23	conditions	condition	NOUN
ddj-119	163	24	.	.	PUNCT
ddj-119	164	1	these	these	DET
ddj-119	164	2	heavy	heavy	ADJ
ddj-119	164	3	electrons	electron	NOUN
ddj-119	164	4	appear	appear	VERB
ddj-119	164	5	to	to	PART
ddj-119	164	6	be	be	AUX
ddj-119	164	7	confined	confine	VERB
ddj-119	164	8	electrons	electron	NOUN
ddj-119	164	9	as	as	SCONJ
ddj-119	164	10	they	they	PRON
ddj-119	164	11	interact	interact	VERB
ddj-119	164	12	with	with	ADP
ddj-119	164	13	crystal	crystal	NOUN
ddj-119	164	14	lattices	lattice	NOUN
ddj-119	164	15	that	that	PRON
ddj-119	164	16	they	they	PRON
ddj-119	164	17	traverse	traverse	VERB
ddj-119	164	18	.	.	PUNCT
ddj-119	165	1	apparently	apparently	ADV
ddj-119	165	2	,	,	PUNCT
ddj-119	165	3	under	under	ADP
ddj-119	165	4	extreme	extreme	ADJ
ddj-119	165	5	conditions	condition	NOUN
ddj-119	165	6	,	,	PUNCT
ddj-119	165	7	unusual	unusual	ADJ
ddj-119	165	8	phase	phase	NOUN
ddj-119	165	9	transitions	transition	NOUN
ddj-119	165	10	occur	occur	VERB
ddj-119	165	11	in	in	ADP
ddj-119	165	12	particular	particular	ADJ
ddj-119	165	13	materials	material	NOUN
ddj-119	165	14	causing	cause	VERB
ddj-119	165	15	electrons	electron	NOUN
ddj-119	165	16	to	to	PART
ddj-119	165	17	take	take	VERB
ddj-119	165	18	on	on	ADP
ddj-119	165	19	extraordinary	extraordinary	ADJ
ddj-119	165	20	mass	mass	NOUN
ddj-119	165	21	.	.	PUNCT
ddj-119	166	1	these	these	DET
ddj-119	166	2	heavy	heavy	ADJ
ddj-119	166	3	electrons	electron	NOUN
ddj-119	166	4	are	be	AUX
ddj-119	166	5	apparently	apparently	ADV
ddj-119	166	6	unstable	unstable	ADJ
ddj-119	166	7	unless	unless	SCONJ
ddj-119	166	8	they	they	PRON
ddj-119	166	9	interact	interact	VERB
ddj-119	166	10	with	with	ADP
ddj-119	166	11	and	and	CCONJ
ddj-119	166	12	acquire	acquire	VERB
ddj-119	166	13	mass	mass	NOUN
ddj-119	166	14	in	in	ADP
ddj-119	166	15	certain	certain	ADJ
ddj-119	166	16	crystalline	crystalline	ADJ
ddj-119	166	17	lattice	lattice	NOUN
ddj-119	166	18	structures	structure	NOUN
ddj-119	166	19	.	.	PUNCT
ddj-119	167	1	this	this	DET
ddj-119	167	2	thought	think	VERB
ddj-119	167	3	experiment	experiment	NOUN
ddj-119	167	4	adopts	adopt	VERB
ddj-119	167	5	the	the	DET
ddj-119	167	6	idea	idea	NOUN
ddj-119	167	7	that	that	SCONJ
ddj-119	167	8	spacetime	spacetime	NOUN
ddj-119	167	9	is	be	AUX
ddj-119	167	10	particulate	particulate	NOUN
ddj-119	167	11	and	and	CCONJ
ddj-119	167	12	substantive	substantive	ADJ
ddj-119	167	13	and	and	CCONJ
ddj-119	167	14	that	that	SCONJ
ddj-119	167	15	certain	certain	ADJ
ddj-119	167	16	manifestations	manifestation	NOUN
ddj-119	167	17	spacetime	spacetime	NOUN
ddj-119	167	18	voxels	voxel	NOUN
ddj-119	167	19	appear	appear	VERB
ddj-119	167	20	as	as	ADP
ddj-119	167	21	electrons	electron	NOUN
ddj-119	167	22	.	.	PUNCT
ddj-119	168	1	the	the	DET
ddj-119	168	2	standard	standard	ADJ
ddj-119	168	3	model	model	NOUN
ddj-119	168	4	of	of	ADP
ddj-119	168	5	particle	particle	NOUN
ddj-119	168	6	physics	physics	NOUN
ddj-119	168	7	postulates	postulate	VERB
ddj-119	168	8	the	the	DET
ddj-119	168	9	existence	existence	NOUN
ddj-119	168	10	of	of	ADP
ddj-119	168	11	the	the	DET
ddj-119	168	12	higgs	higgs	PROPN
ddj-119	168	13	boson	boson	PROPN
ddj-119	168	14	which	which	PRON
ddj-119	168	15	imparts	impart	VERB
ddj-119	168	16	to	to	ADP
ddj-119	168	17	electrons	electron	NOUN
ddj-119	168	18	and	and	CCONJ
ddj-119	168	19	other	other	ADJ
ddj-119	168	20	elementary	elementary	ADJ
ddj-119	168	21	particles	particle	NOUN
ddj-119	168	22	gravitational	gravitational	ADJ
ddj-119	168	23	mass	mass	NOUN
ddj-119	168	24	and	and	CCONJ
ddj-119	168	25	inertia	inertia	NOUN
ddj-119	168	26	.	.	PUNCT
ddj-119	169	1	the	the	DET
ddj-119	169	2	higgs	higgs	PROPN
ddj-119	169	3	boson	boson	PROPN
ddj-119	169	4	was	be	AUX
ddj-119	169	5	inserted	insert	VERB
ddj-119	169	6	in	in	ADP
ddj-119	169	7	the	the	DET
ddj-119	169	8	standard	standard	ADJ
ddj-119	169	9	model	model	NOUN
ddj-119	169	10	ad	ad	X
ddj-119	169	11	hoc	hoc	X
ddj-119	169	12	along	along	ADP
ddj-119	169	13	with	with	ADP
ddj-119	169	14	other	other	ADJ
ddj-119	169	15	elementary	elementary	ADJ
ddj-119	169	16	particles	particle	NOUN
ddj-119	169	17	which	which	PRON
ddj-119	169	18	are	be	AUX
ddj-119	169	19	grouped	group	VERB
ddj-119	169	20	in	in	ADP
ddj-119	169	21	an	an	DET
ddj-119	169	22	arbitrary	arbitrary	ADJ
ddj-119	169	23	way	way	NOUN
ddj-119	169	24	and	and	CCONJ
ddj-119	169	25	which	which	PRON
ddj-119	169	26	depend	depend	VERB
ddj-119	169	27	on	on	ADP
ddj-119	169	28	24	24	NUM
ddj-119	169	29	numbers	number	NOUN
ddj-119	169	30	whose	whose	DET
ddj-119	169	31	values	value	NOUN
ddj-119	169	32	can	can	AUX
ddj-119	169	33	not	not	PART
ddj-119	169	34	be	be	AUX
ddj-119	169	35	deduced	deduce	VERB
ddj-119	169	36	from	from	ADP
ddj-119	169	37	first	first	ADJ
ddj-119	169	38	principles	principle	NOUN
ddj-119	169	39	,	,	PUNCT
ddj-119	169	40	but	but	CCONJ
ddj-119	169	41	which	which	PRON
ddj-119	169	42	need	need	VERB
ddj-119	169	43	to	to	PART
ddj-119	169	44	be	be	AUX
ddj-119	169	45	chosen	choose	VERB
ddj-119	169	46	to	to	PART
ddj-119	169	47	fit	fit	VERB
ddj-119	169	48	the	the	DET
ddj-119	169	49	observations	observation	NOUN
ddj-119	169	50	.	.	PUNCT
ddj-119	170	1	although	although	SCONJ
ddj-119	170	2	the	the	DET
ddj-119	170	3	standard	standard	ADJ
ddj-119	170	4	model	model	NOUN
ddj-119	170	5	is	be	AUX
ddj-119	170	6	imperfect	imperfect	ADJ
ddj-119	170	7	,	,	PUNCT
ddj-119	170	8	it	it	PRON
ddj-119	170	9	is	be	AUX
ddj-119	170	10	considered	consider	VERB
ddj-119	170	11	adequate	adequate	ADJ
ddj-119	170	12	for	for	ADP
ddj-119	170	13	present	present	ADJ
ddj-119	170	14	purposes	purpose	NOUN
ddj-119	170	15	.	.	PUNCT
ddj-119	171	1	spacetime	spacetime	PROPN
ddj-119	171	2	voxels	voxel	NOUN
ddj-119	171	3	,	,	PUNCT
ddj-119	171	4	as	as	SCONJ
ddj-119	171	5	conceived	conceive	VERB
ddj-119	171	6	here	here	ADV
ddj-119	171	7	,	,	PUNCT
ddj-119	171	8	have	have	VERB
ddj-119	171	9	the	the	DET
ddj-119	171	10	properties	property	NOUN
ddj-119	171	11	attributed	attribute	VERB
ddj-119	171	12	to	to	ADP
ddj-119	171	13	the	the	DET
ddj-119	171	14	higgs	higgs	NOUN
ddj-119	171	15	boson	boson	NOUN
ddj-119	171	16	and	and	CCONJ
ddj-119	171	17	may	may	AUX
ddj-119	171	18	incrementally	incrementally	ADV
ddj-119	171	19	impart	impart	VERB
ddj-119	171	20	mass	mass	NOUN
ddj-119	171	21	to	to	ADP
ddj-119	171	22	elementary	elementary	ADJ
ddj-119	171	23	particles	particle	NOUN
ddj-119	171	24	.	.	PUNCT
ddj-119	172	1	dna	dna	PROPN
ddj-119	172	2	decipher	decipher	PROPN
ddj-119	172	3	journal	journal	PROPN
ddj-119	172	4	|	|	ADP
ddj-119	172	5	july	july	PROPN
ddj-119	172	6	2017	2017	NUM
ddj-119	172	7	|	|	ADV
ddj-119	172	8	volume	volume	NOUN
ddj-119	172	9	7	7	NUM
ddj-119	172	10	|	|	NOUN
ddj-119	172	11	issue	issue	VERB
ddj-119	172	12	1	1	NUM
ddj-119	172	13	|	|	CCONJ
ddj-119	172	14	pp	pp	ADJ
ddj-119	172	15	.	.	PUNCT
ddj-119	173	1	17	17	NUM
ddj-119	173	2	-	-	SYM
ddj-119	173	3	26	26	NUM
ddj-119	173	4	vary	vary	NOUN
ddj-119	173	5	,	,	PUNCT
ddj-119	173	6	a.	a.	NOUN
ddj-119	173	7	,	,	PUNCT
ddj-119	173	8	fibonacci	fibonacci	NOUN
ddj-119	173	9	sunflowers	sunflower	NOUN
ddj-119	173	10	,	,	PUNCT
ddj-119	173	11	mathematical	mathematical	ADJ
ddj-119	173	12	objects	object	NOUN
ddj-119	173	13	&	&	CCONJ
ddj-119	173	14	cubic	cubic	ADJ
ddj-119	173	15	electrons	electron	NOUN
ddj-119	173	16	issn	issn	NOUN
ddj-119	173	17	:	:	PUNCT
ddj-119	173	18	2159	2159	NUM
ddj-119	173	19	-	-	PUNCT
ddj-119	173	20	046x	046x	NOUN
ddj-119	173	21	dna	dna	NOUN
ddj-119	173	22	decipher	decipher	PROPN
ddj-119	173	23	journal	journal	NOUN
ddj-119	173	24	published	publish	VERB
ddj-119	173	25	by	by	ADP
ddj-119	173	26	quantumdream	quantumdream	PROPN
ddj-119	173	27	,	,	PUNCT
ddj-119	173	28	inc	inc	PROPN
ddj-119	173	29	.	.	PROPN
ddj-119	173	30	www.dnadecipher.com	www.dnadecipher.com	X
ddj-119	174	1	26	26	NUM
ddj-119	174	2	conclusion	conclusion	NOUN
ddj-119	174	3	the	the	DET
ddj-119	174	4	previous	previous	ADJ
ddj-119	174	5	discussion	discussion	NOUN
ddj-119	174	6	elaborates	elaborate	VERB
ddj-119	174	7	on	on	ADP
ddj-119	174	8	the	the	DET
ddj-119	174	9	uncanny	uncanny	ADJ
ddj-119	174	10	relations	relation	NOUN
ddj-119	174	11	among	among	ADP
ddj-119	174	12	pure	pure	ADJ
ddj-119	174	13	,	,	PUNCT
ddj-119	174	14	perfect	perfect	ADJ
ddj-119	174	15	mathematical	mathematical	ADJ
ddj-119	174	16	objects	object	NOUN
ddj-119	174	17	and	and	CCONJ
ddj-119	174	18	physical	physical	ADJ
ddj-119	174	19	,	,	PUNCT
ddj-119	174	20	material	material	NOUN
ddj-119	174	21	,	,	PUNCT
ddj-119	174	22	measurable	measurable	ADJ
ddj-119	174	23	,	,	PUNCT
ddj-119	174	24	objects	object	VERB
ddj-119	174	25	to	to	ADP
ddj-119	174	26	the	the	DET
ddj-119	174	27	quantum	quantum	ADJ
ddj-119	174	28	level	level	NOUN
ddj-119	174	29	.	.	PUNCT
ddj-119	175	1	in	in	ADP
ddj-119	175	2	the	the	DET
ddj-119	175	3	case	case	NOUN
ddj-119	175	4	of	of	ADP
ddj-119	175	5	euler	euler	PROPN
ddj-119	175	6	’s	’s	PART
ddj-119	175	7	identity	identity	NOUN
ddj-119	175	8	we	we	PRON
ddj-119	175	9	note	note	VERB
ddj-119	175	10	that	that	SCONJ
ddj-119	175	11	even	even	ADV
ddj-119	175	12	one	one	NUM
ddj-119	175	13	of	of	ADP
ddj-119	175	14	the	the	DET
ddj-119	175	15	most	most	ADV
ddj-119	175	16	esoteric	esoteric	ADJ
ddj-119	175	17	mathematical	mathematical	ADJ
ddj-119	175	18	statements	statement	NOUN
ddj-119	175	19	relates	relate	VERB
ddj-119	175	20	to	to	ADP
ddj-119	175	21	mundane	mundane	ADJ
ddj-119	175	22	objects	object	NOUN
ddj-119	175	23	and	and	CCONJ
ddj-119	175	24	actions	action	NOUN
ddj-119	175	25	.	.	PUNCT
ddj-119	176	1	the	the	DET
ddj-119	176	2	fibonacci	fibonacci	NOUN
ddj-119	176	3	sequence	sequence	NOUN
ddj-119	176	4	and	and	CCONJ
ddj-119	176	5	golden	golden	ADJ
ddj-119	176	6	ratio	ratio	NOUN
ddj-119	176	7	are	be	AUX
ddj-119	176	8	so	so	ADV
ddj-119	176	9	pervasive	pervasive	ADJ
ddj-119	176	10	that	that	SCONJ
ddj-119	176	11	one	one	NOUN
ddj-119	176	12	is	be	AUX
ddj-119	176	13	tempted	tempt	VERB
ddj-119	176	14	to	to	PART
ddj-119	176	15	conclude	conclude	VERB
ddj-119	176	16	that	that	SCONJ
ddj-119	176	17	objective	objective	ADJ
ddj-119	176	18	reality	reality	NOUN
ddj-119	176	19	is	be	AUX
ddj-119	176	20	governed	govern	VERB
ddj-119	176	21	by	by	ADP
ddj-119	176	22	the	the	DET
ddj-119	176	23	sequence	sequence	NOUN
ddj-119	176	24	and	and	CCONJ
ddj-119	176	25	ratio	ratio	NOUN
ddj-119	176	26	.	.	PUNCT
ddj-119	177	1	of	of	ADP
ddj-119	177	2	course	course	ADV
ddj-119	177	3	,	,	PUNCT
ddj-119	177	4	they	they	PRON
ddj-119	177	5	are	be	AUX
ddj-119	177	6	simply	simply	ADV
ddj-119	177	7	mathematical	mathematical	ADJ
ddj-119	177	8	descriptors	descriptor	NOUN
ddj-119	177	9	which	which	PRON
ddj-119	177	10	have	have	VERB
ddj-119	177	11	observable	observable	ADJ
ddj-119	177	12	manifestations	manifestation	NOUN
ddj-119	177	13	.	.	PUNCT
ddj-119	178	1	other	other	ADJ
ddj-119	178	2	mathematical	mathematical	ADJ
ddj-119	178	3	constructs	construct	NOUN
ddj-119	178	4	,	,	PUNCT
ddj-119	178	5	such	such	ADJ
ddj-119	178	6	as	as	ADP
ddj-119	178	7	the	the	DET
ddj-119	178	8	de	de	PROPN
ddj-119	178	9	broglie	broglie	PROPN
ddj-119	178	10	bohm	bohm	PROPN
ddj-119	178	11	‘	'	PUNCT
ddj-119	178	12	pilot	pilot	NOUN
ddj-119	178	13	-	-	PUNCT
ddj-119	178	14	wave	wave	NOUN
ddj-119	178	15	’	'	PUNCT
ddj-119	178	16	theory	theory	NOUN
ddj-119	178	17	describe	describe	VERB
ddj-119	178	18	unobservable	unobservable	ADJ
ddj-119	178	19	quantum	quantum	ADJ
ddj-119	178	20	phenomena	phenomenon	NOUN
ddj-119	178	21	and	and	CCONJ
ddj-119	178	22	attempt	attempt	VERB
ddj-119	178	23	to	to	PART
ddj-119	178	24	explain	explain	VERB
ddj-119	178	25	their	their	PRON
ddj-119	178	26	measurable	measurable	ADJ
ddj-119	178	27	behavior	behavior	NOUN
ddj-119	178	28	.	.	PUNCT
ddj-119	179	1	they	they	PRON
ddj-119	179	2	are	be	AUX
ddj-119	179	3	purely	purely	ADV
ddj-119	179	4	intellectual	intellectual	ADJ
ddj-119	179	5	constructs	construct	NOUN
ddj-119	179	6	without	without	ADP
ddj-119	179	7	empirical	empirical	ADJ
ddj-119	179	8	content	content	NOUN
ddj-119	179	9	but	but	CCONJ
ddj-119	179	10	necessary	necessary	ADJ
ddj-119	179	11	for	for	ADP
ddj-119	179	12	scientific	scientific	ADJ
ddj-119	179	13	reasoning	reasoning	NOUN
ddj-119	179	14	.	.	PUNCT
ddj-119	180	1	the	the	DET
ddj-119	180	2	cubic	cubic	ADJ
ddj-119	180	3	electron	electron	NOUN
ddj-119	180	4	conceptualization	conceptualization	NOUN
ddj-119	180	5	incorporates	incorporate	VERB
ddj-119	180	6	string	string	NOUN
ddj-119	180	7	theory	theory	NOUN
ddj-119	180	8	to	to	PART
ddj-119	180	9	assign	assign	VERB
ddj-119	180	10	structure	structure	NOUN
ddj-119	180	11	to	to	ADP
ddj-119	180	12	an	an	DET
ddj-119	180	13	ostensibly	ostensibly	ADV
ddj-119	180	14	structureless	structureless	ADJ
ddj-119	180	15	entity	entity	NOUN
ddj-119	180	16	to	to	PART
ddj-119	180	17	explain	explain	VERB
ddj-119	180	18	experimental	experimental	ADJ
ddj-119	180	19	observations	observation	NOUN
ddj-119	180	20	and	and	CCONJ
ddj-119	180	21	measurements	measurement	NOUN
ddj-119	180	22	.	.	PUNCT
ddj-119	181	1	mathematical	mathematical	ADJ
ddj-119	181	2	conceptualizations	conceptualization	NOUN
ddj-119	181	3	may	may	AUX
ddj-119	181	4	anticipate	anticipate	VERB
ddj-119	181	5	aspects	aspect	NOUN
ddj-119	181	6	of	of	ADP
ddj-119	181	7	empirical	empirical	ADJ
ddj-119	181	8	reality	reality	NOUN
ddj-119	181	9	later	later	ADV
ddj-119	181	10	discovered	discover	VERB
ddj-119	181	11	by	by	ADP
ddj-119	181	12	sophisticated	sophisticated	ADJ
ddj-119	181	13	observations	observation	NOUN
ddj-119	181	14	and	and	CCONJ
ddj-119	181	15	measurement	measurement	NOUN
ddj-119	181	16	techniques	technique	NOUN
ddj-119	181	17	.	.	PUNCT
ddj-119	182	1	the	the	DET
ddj-119	182	2	examples	example	NOUN
ddj-119	182	3	cited	cite	VERB
ddj-119	182	4	illustrate	illustrate	VERB
ddj-119	182	5	that	that	SCONJ
ddj-119	182	6	“	"	PUNCT
ddj-119	182	7	.	.	PUNCT
ddj-119	182	8	.	.	PUNCT
ddj-119	182	9	.	.	PUNCT
ddj-119	183	1	mathematical	mathematical	ADJ
ddj-119	183	2	as	as	ADV
ddj-119	183	3	well	well	ADV
ddj-119	183	4	as	as	ADP
ddj-119	183	5	logical	logical	ADJ
ddj-119	183	6	reasoning	reasoning	NOUN
ddj-119	183	7	make	make	VERB
ddj-119	183	8	explicit	explicit	ADJ
ddj-119	183	9	what	what	PRON
ddj-119	183	10	is	be	AUX
ddj-119	183	11	implicitly	implicitly	ADV
ddj-119	183	12	contained	contain	VERB
ddj-119	183	13	in	in	ADP
ddj-119	183	14	a	a	DET
ddj-119	183	15	set	set	NOUN
ddj-119	183	16	of	of	ADP
ddj-119	183	17	premises	premise	NOUN
ddj-119	183	18	while	while	SCONJ
ddj-119	183	19	contributing	contribute	VERB
ddj-119	183	20	to	to	ADP
ddj-119	183	21	the	the	DET
ddj-119	183	22	content	content	NOUN
ddj-119	183	23	of	of	ADP
ddj-119	183	24	our	our	PRON
ddj-119	183	25	knowledge	knowledge	NOUN
ddj-119	183	26	of	of	ADP
ddj-119	183	27	empirical	empirical	ADJ
ddj-119	183	28	matters	matter	NOUN
ddj-119	183	29	.	.	PUNCT
ddj-119	183	30	.	.	PUNCT
ddj-119	183	31	.	.	PUNCT
ddj-119	184	1	mathematics	mathematic	NOUN
ddj-119	184	2	is	be	AUX
ddj-119	184	3	entirely	entirely	ADV
ddj-119	184	4	indispensable	indispensable	ADJ
ddj-119	184	5	as	as	ADP
ddj-119	184	6	an	an	DET
ddj-119	184	7	instrument	instrument	NOUN
ddj-119	184	8	for	for	ADP
ddj-119	184	9	the	the	DET
ddj-119	184	10	validation	validation	NOUN
ddj-119	184	11	and	and	CCONJ
ddj-119	184	12	even	even	ADV
ddj-119	184	13	for	for	ADP
ddj-119	184	14	the	the	DET
ddj-119	184	15	linguistic	linguistic	ADJ
ddj-119	184	16	expression	expression	NOUN
ddj-119	184	17	of	of	ADP
ddj-119	184	18	such	such	ADJ
ddj-119	184	19	knowledge	knowledge	NOUN
ddj-119	184	20	”	"	PUNCT
ddj-119	184	21	[	[	X
ddj-119	184	22	6	6	NUM
ddj-119	184	23	]	]	PUNCT
ddj-119	184	24	.	.	PUNCT
ddj-119	185	1	we	we	PRON
ddj-119	185	2	note	note	VERB
ddj-119	185	3	that	that	DET
ddj-119	185	4	mathematical	mathematical	ADJ
ddj-119	185	5	truths	truth	NOUN
ddj-119	185	6	which	which	PRON
ddj-119	185	7	echo	echo	VERB
ddj-119	185	8	empirical	empirical	ADJ
ddj-119	185	9	observations	observation	NOUN
ddj-119	185	10	and	and	CCONJ
ddj-119	185	11	discoveries	discovery	NOUN
ddj-119	185	12	of	of	ADP
ddj-119	185	13	experimental	experimental	ADJ
ddj-119	185	14	science	science	NOUN
ddj-119	185	15	illuminate	illuminate	NOUN
ddj-119	185	16	and	and	CCONJ
ddj-119	185	17	often	often	ADV
ddj-119	185	18	predict	predict	VERB
ddj-119	185	19	them	they	PRON
ddj-119	185	20	.	.	PUNCT
ddj-119	186	1	references	reference	NOUN
ddj-119	186	2	1	1	NUM
ddj-119	186	3	.	.	PUNCT
ddj-119	186	4	shape	shape	NOUN
ddj-119	186	5	of	of	ADP
ddj-119	186	6	inner	inner	ADJ
ddj-119	186	7	space	space	NOUN
ddj-119	186	8	,	,	PUNCT
ddj-119	186	9	shing	she	VERB
ddj-119	186	10	-	-	PUNCT
ddj-119	186	11	tung	tung	NOUN
ddj-119	186	12	yau	yau	PROPN
ddj-119	186	13	and	and	CCONJ
ddj-119	186	14	steve	steve	PROPN
ddj-119	186	15	nadis	nadis	PROPN
ddj-119	186	16	,	,	PUNCT
ddj-119	186	17	basic	basic	ADJ
ddj-119	186	18	books	book	NOUN
ddj-119	186	19	,	,	PUNCT
ddj-119	186	20	2010	2010	NUM
ddj-119	186	21	.	.	PUNCT
ddj-119	187	1	2	2	X
ddj-119	187	2	.	.	X
ddj-119	187	3	my	my	PRON
ddj-119	187	4	universe	universe	NOUN
ddj-119	187	5	a	a	DET
ddj-119	187	6	transcendent	transcendent	ADJ
ddj-119	187	7	reality	reality	NOUN
ddj-119	187	8	(	(	PUNCT
ddj-119	187	9	part	part	NOUN
ddj-119	187	10	three	three	NUM
ddj-119	187	11	,	,	PUNCT
ddj-119	187	12	pp	pp	ADJ
ddj-119	187	13	.	.	PUNCT
ddj-119	188	1	147	147	NUM
ddj-119	188	2	-	-	SYM
ddj-119	188	3	149	149	NUM
ddj-119	188	4	)	)	PUNCT
ddj-119	188	5	,	,	PUNCT
ddj-119	188	6	a.	a.	NOUN
ddj-119	188	7	vary	vary	NOUN
ddj-119	188	8	,	,	PUNCT
ddj-119	188	9	xlibris	xlibris	PROPN
ddj-119	188	10	,	,	PUNCT
ddj-119	188	11	2011	2011	NUM
ddj-119	188	12	.	.	PUNCT
ddj-119	189	1	3	3	X
ddj-119	189	2	.	.	X
ddj-119	189	3	a	a	DET
ddj-119	189	4	suggested	suggest	VERB
ddj-119	189	5	interpretation	interpretation	NOUN
ddj-119	189	6	of	of	ADP
ddj-119	189	7	the	the	DET
ddj-119	189	8	quantum	quantum	NOUN
ddj-119	189	9	theory	theory	NOUN
ddj-119	189	10	in	in	ADP
ddj-119	189	11	terms	term	NOUN
ddj-119	189	12	of	of	ADP
ddj-119	189	13	hidden	hidden	ADJ
ddj-119	189	14	variables	variable	NOUN
ddj-119	189	15	.	.	PUNCT
ddj-119	190	1	david	david	PROPN
ddj-119	190	2	bohm	bohm	PROPN
ddj-119	190	3	,	,	PUNCT
ddj-119	190	4	physical	physical	ADJ
ddj-119	190	5	review	review	NOUN
ddj-119	190	6	85	85	NUM
ddj-119	190	7	:	:	PUNCT
ddj-119	190	8	166–179	166–179	NUM
ddj-119	190	9	,	,	PUNCT
ddj-119	190	10	1952	1952	NUM
ddj-119	190	11	4	4	NUM
ddj-119	190	12	.	.	PUNCT
ddj-119	190	13	three	three	NUM
ddj-119	190	14	roads	road	NOUN
ddj-119	190	15	to	to	ADP
ddj-119	190	16	quantum	quantum	ADJ
ddj-119	190	17	gravity	gravity	NOUN
ddj-119	190	18	,	,	PUNCT
ddj-119	190	19	lee	lee	PROPN
ddj-119	190	20	smolin	smolin	PROPN
ddj-119	190	21	,	,	PUNCT
ddj-119	190	22	basic	basic	ADJ
ddj-119	190	23	books	book	NOUN
ddj-119	190	24	,	,	PUNCT
ddj-119	190	25	2001	2001	NUM
ddj-119	190	26	.	.	PUNCT
ddj-119	191	1	5	5	NUM
ddj-119	191	2	.	.	X
ddj-119	191	3	cubic	cubic	PROPN
ddj-119	191	4	lattice	lattice	PROPN
ddj-119	191	5	nucleus	nucleus	PROPN
ddj-119	191	6	model	model	NOUN
ddj-119	191	7	&	&	CCONJ
ddj-119	191	8	cryogenic	cryogenic	ADJ
ddj-119	191	9	cosmology	cosmology	NOUN
ddj-119	191	10	,	,	PUNCT
ddj-119	191	11	a.	a.	NOUN
ddj-119	191	12	vary	vary	NOUN
ddj-119	191	13	,	,	PUNCT
ddj-119	191	14	prespacetime	prespacetime	PROPN
ddj-119	191	15	j	j	PROPN
ddj-119	191	16	,	,	PUNCT
ddj-119	191	17	vol	vol	NOUN
ddj-119	191	18	.	.	PROPN
ddj-119	191	19	7	7	NUM
ddj-119	191	20	,	,	PUNCT
ddj-119	191	21	no	no	DET
ddj-119	191	22	2	2	NUM
ddj-119	191	23	,	,	PUNCT
ddj-119	191	24	2016	2016	NUM
ddj-119	191	25	.	.	PUNCT
ddj-119	192	1	6	6	NUM
ddj-119	192	2	.	.	X
ddj-119	193	1	on	on	ADP
ddj-119	193	2	the	the	DET
ddj-119	193	3	nature	nature	NOUN
ddj-119	193	4	of	of	ADP
ddj-119	193	5	mathematical	mathematical	ADJ
ddj-119	193	6	truth	truth	NOUN
ddj-119	193	7	,	,	PUNCT
ddj-119	193	8	carl	carl	PROPN
ddj-119	193	9	g.	g.	PROPN
ddj-119	193	10	hempel	hempel	PROPN
ddj-119	193	11	,	,	PUNCT
ddj-119	193	12	in	in	ADP
ddj-119	193	13	the	the	DET
ddj-119	193	14	world	world	NOUN
ddj-119	193	15	of	of	ADP
ddj-119	193	16	mathematics	mathematic	NOUN
ddj-119	193	17	,	,	PUNCT
ddj-119	193	18	vol	vol	NOUN
ddj-119	193	19	.	.	PUNCT
ddj-119	193	20	iii	iii	PROPN
ddj-119	193	21	,	,	PUNCT
ddj-119	193	22	james	james	PROPN
ddj-119	193	23	r.	r.	PROPN
ddj-119	193	24	newman	newman	PROPN
ddj-119	193	25	,	,	PUNCT
ddj-119	193	26	ed	ed	NOUN
ddj-119	193	27	.	.	PROPN
ddj-119	193	28	,	,	PUNCT
ddj-119	193	29	simon	simon	PROPN
ddj-119	193	30	and	and	CCONJ
ddj-119	193	31	shuster	shuster	PROPN
ddj-119	193	32	,	,	PUNCT
ddj-119	193	33	1956	1956	NUM
ddj-119	193	34	.	.	PUNCT