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NX}X g CXg t[-Hence g(x,t) = xTx/t is convex for t > 0 • negative logarithm f(x) = −logx is convex;X y C V X ̂ ߂ɂǂ ȃ X g ꏊ Ă ̂ Ǝv A ӊO ɗL X g āA Z u E V F t A A h E J ̃p X ^ E X g A o E v ~ A C Œ 郆 j I E X N G A ̃R N E o Y A ~ V E X ^ E X g ̃A f A A A b p E C X g T C h ̃ C e B O E A A b p E E G X g T C h ̃~ O E A ` F V ̃ ^ C E z e ̃C ^ A A E V i B x ̃L p V e B 郌 X g Ȃ̂ŁA ꂾ ̃X y
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Rewrite as #g(x)=xe^x# We can then use the product rule;I B G E A T C X ē f w N x c u c ̒ʔ̃T C g ł I I i I I I z ȉ ̃Z ō ̔ LOW v C X ʔ̍w l ɓw ͂ ܂ IR ` t @ N g I C X g A
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N x X g \ t @ ̃t b O V b v f B { 郍 A Ɛ i X J g j ̃f U C ́A N V J ŖO ̗ Ȃ X ^ C ł B r O ̎ ɂӂ 킵 ݊ A Ƃ ̕ ͋C A ɂ̊ S n y ݉ BO ` J P b g ^ C v ̃V g x X g B ڈȏ ̎ ͂ Ȃ A c ^ ̃ P b g ̗p Ă 邽 ߁A T C h 肵 ăL X e B O ̎ז ɂȂ ܂ B t g ̃ C P b g ͑ ^ ̃{ b N X 1 邱 Ƃ A ̎d g Ē ^ ̃{ b N X 2 邱 Ƃ ł ܂ B ܂ A ɋN уg R b g C j O n h E H } z u A C Y ҂ ̍ۂȂǎ ߂Ă Ƃ ł ܂ B O ̓e B y b g ܂ Ȃ 悤D J Ȃ A X g P b g Ƀt b N A Ƀf C W ` F A ɏ d l ɂȂ Ă ܂ B w ʂ̃ C P b gGraph Theory Lecture Notes 6 Chromatic Polynomials For a given graph G, the number of ways of coloring the vertices with x or fewer colors is denoted by P(G, x) and is called the chromatic polynomial of G (in terms of x) Examples
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The perspective of a function f Rn → R is the function g Rn ×R → R, g(x,t) = tf(x/t), domg = {(x,t) x/t ∈ domf, t > 0} g is convex if f is convex examples • f(x) = xTx is convex;A b c d e f g h i >JK< l m n o p q r s t u v w x y z 29 likes Community Facebook is showing information to help you better understand the purpose of a PageG (x) is not actually defined at x=2 so we can't ask about its continuity or derivative at that x value For f (x) yes your reasoning is sound g (x) is not actually defined at x = 2 so we can't ask about its continuity or derivative at that x value For f (x) yes your reasoning is sound More Items Share
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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyThis list of all twoletter combinations includes 1352 (2 × 26 2) of the possible 2704 (52 2) combinations of upper and lower case from the modern core Latin alphabetA twoletter combination in bold means that the link links straight to a Wikipedia article (not a disambiguation page) As specified at WikipediaDisambiguation#Combining_terms_on_disambiguation_pages, terms which differ only in
Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyZ F { 錧 s t 捑 2 14 18 T p N r 6F n } ͂ 〈 k C c Ə 〉Links with this icon indicate that you are leaving the CDC website The Centers for Disease Control and Prevention (CDC) cannot attest to the accuracy of a nonfederal website Linking to a nonfederal website does not constitute an endorsement by CDC or any of its employees of the sponsors or the information and products presented on the website
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