id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-4607	Kotvytskiy, Albert; Bronza, Semen; Shablenko, Vladimir	THE ANALYSIS OF IMAGES IN N-POINT GRAVITATIONAL LENS BY METHODS OF ALGEBRAIC GEOMETRY	2017	8	.pdf	application/pdf	6546	400	79	− x2 2y1 − x1 = 0, x2 1x2 + x3 2 − x2 1y2 − x2 2y2 − x2 = 0. (9) We calculate the result R1 by the variable x1 for which we represent the equation in lexicographic form{ x3 1	cache/ap-4607.pdf	txt/ap-4607.txt