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Let g be the metric on R given by g = 5dx+(8x+2y)dxdy+dy, (x, y) = R. Hint: This is short for g(x,y) ((8), (y))
Let g be the metric on R given by g = 5dx+(8x+2y)dxdy+dy, (x, y) = R. Hint: This is short for g(x,y) ((8), (y)) av + bu = 5au + (8x+2y) + bv. (a) For which (x, y) = R is g positive definite? (b) Compute the length of the curve Y: [0,1] R, y(t) = (2t), respect to the metric g. with
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Discrete and Combinatorial Mathematics An Applied Introduction
Authors: Ralph P. Grimaldi
5th edition
201726343, 978-0201726343
