id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
concept-2079	none	Analysis of Fractals from a Mathematical and Real-World Perspective	2016	17	.pdf	application/pdf	5880	380	61	The mass method involves “counting of border pixels in a sampling region, such as disc diameters, as a function of the sizes of the sample regions” when given a digital representation of the image (Smith, Lange, and Marks, “Fractal methods...”). = A𝑟𝑑, where µ(r) is the number of pixels (considered mass), r is the length of the edge of the boxes or circle diameter, A is a pre-factor (a CONCEPT, Vol. XXXIX (2016) 11 periodic function whose period is independent of the fractal dimension), D is the mass fractional dimension or slope of the plot of log µ(r) vs. log r. (Smith, Lange, and Marks, “Fractal methods...”).	cache/concept-2079.pdf	txt/concept-2079.txt