id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-3794	Masáková, Zuzana; Pelantová, Edita; Starosta, Štěpán	ITINERARIES INDUCED BY EXCHANGE OF THREE INTERVALS	2016	10	.pdf	application/pdf	8134	538	82	Given letters X,Y, Z ∈ {A,B,C} and a finite word w ∈ {A,B,C}∗, let ωXY→Z(w) be the set of words obtained from w re- placing one factor XY by the letter Z, i.e., ωXY→Z(w) = {w1Zw2 : w = w1XY w2 }. Under the name three gap theorem one usually refers to the description of gaps between neighbouring elements of the set G(α, δ) := { n ∈ N : {nα} < δ } ⊂ N, where α ∈ R \Q, δ ∈ (0, 1), see [15].	cache/ap-3794.pdf	txt/ap-3794.txt