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Parallel coordinates Parallel coordinate plot of the flea data in GGobi. Parallel Coordinates plots are a common method of visualizing high-dimensional datasets to analyze multivariate data having multiple variables, or attributes. To plot, or visualize, a set of points in n-dimensional space, n parallel lines are drawn over the background ...
Escape-time rendering of Mandelbrot and Julia sets lends itself extremely well to parallel processing. On multi-core machines the area to be plotted can be divided into a series of rectangular areas which can then be provided as a set of tasks to be rendered by a pool of rendering threads. This is an embarrassingly parallel [15] computing problem.
As of April 2017, Desmos also released a browser-based 2D interactive geometry tool, with supporting features including the plotting of points, lines, circles, and polygons. [16] [17] In May 2023, Desmos released a beta version of a second, more sophisticated geometry calculator. [18]
The vertical and horizontal lines are reflected off or refracted through in the following sequence: the line containing the segment corresponding to the coefficient of x n−1, then of x n−2 etc. Choosing θ so that the path lands on the terminus, −tan(θ) is a root of this polynomial. For every real zero of the polynomial, there will be ...
To each parallel class of lines (a maximum set of mutually parallel lines) associate a single new point. That point is to be considered incident with each line in its class. The new points added are distinct from each other. These new points are called points at infinity.
To that end, the plane is first split into eight 45° sectors (by the coordinate axes and the two lines =), then the curve is decomposed into smaller segments such that the direction of a curve segment stays within one sector; since the curve velocity is a second degree polynomial, finding the values where it is parallel to one of these lines ...
Parallel lines are mapped on parallel lines, or on a pair of points (if they are parallel to ). The ratio of the length of two line segments on a line stays unchanged. As a special case, midpoints are mapped on midpoints. The length of a line segment parallel to the projection plane remains unchanged. The length of any line segment is shortened ...
Parallel curve – Generalization of the concept of parallel lines; Shapley–Folkman lemma – Sums of sets of vectors are nearly convex; Sumset – Set of pairwise sums of elements of two sets; Topological vector space#Properties – Vector space with a notion of nearness