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In mathematics, the vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y , for each unique input, x . If a vertical line intersects a curve on an xy -plane more than once then for one value of x the curve has more than one value of y , and so, the curve does not ...
Variations of the horizontal line test can be used to determine whether a function is surjective or bijective: The function f is surjective (i.e., onto) if and only if its graph intersects any horizontal line at least once. f is bijective if and only if any horizontal line will intersect the graph exactly once.
Research within SITP includes a strong focus on fundamental questions about the new physics underlying the Standard Models of particle physics and cosmology, and on the nature and applications of our basic frameworks (quantum field theory and string theory) for attacking these questions. Principal areas of research include: [1] Biophysics
Srinivas is an elected Fellow of the Third World Academy of Sciences, American Mathematical Society, Indian National Science Academy, and the Indian Academy of Sciences. Srinivas received the BSc degree from Bangalore University and did his MS (1978) and PhD (1982) degrees at the University of Chicago. Spencer Bloch was his research supervisor. [2]
The Shamos–Hoey algorithm [1] applies this principle to solve the line segment intersection detection problem, as stated above, of determining whether or not a set of line segments has an intersection; the Bentley–Ottmann algorithm works by the same principle to list all intersections in logarithmic time per intersection.
More precisely, it deals with the questions of if, when and where two or more objects intersect. Collision detection is a classic problem of computational geometry with applications in computer graphics , physical simulation , video games , robotics (including autonomous driving ) and computational physics .
Six years ago, former Stanford student Andrew Granato spent almost a year poring through the Review’s vast network for an article in student magazine Stanford Politics—pinpointing nearly 300 ...
The Möller–Trumbore ray-triangle intersection algorithm, named after its inventors Tomas Möller and Ben Trumbore, is a fast method for calculating the intersection of a ray and a triangle in three dimensions without needing precomputation of the plane equation of the plane containing the triangle. [1]