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F Rn → R is convex if and only if the function g R → R, g(t) = f(xtv), domg = {t xtv ∈ domf} is convex (in t) for any x ∈ domf, v ∈ Rn can check convexity of f by checking convexity of functions of one variable example f Sn → R with f(X) = logdetX, domX = Sn g(t) = logdet(X tV) = logdetX logdet(I tX−1/2VX−1/2) = logdetXSearch the world's information, including webpages, images, videos and more Google has many special features to help you find exactly what you're looking for, l, C x g, z e , s, r W l X, , j X, f , V C, n }, w, u O, f , C x g, ʐ^, , o , , E Y, , ی , Ӌ, , J t , ό , , j, , G , z y W, , X B Ƃ ԗ B ALA!Personals E ̐l ƁA { E E p ŃR ~ j P V ł 鍑 ۓI ȃI C R ~ j e B ( o ^ ) Ŋo 钆 @ @ T R Q ̏ / s Q R ̐ E Y T T ̏ ` I Փ @ @ U s/ ό ̏\ 喼 ̎l ÓT 뉀 ̎l 喼 R l 喼 R ̘Z Ós ̎l ΌA Z 吅 Ò ̎l ̔ ͐ @ @ @ ƌ D D D @ @ V r


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