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ƒ^ƒCƒK[ƒ}ƒXƒN ƒAƒjƒ "G-G convex, h convex, ˜h nondecreasing g concave, h convex, ˜h nonincreasing • proof (for n = 1, differentiable g,h) f′′(x) = h′′(g(x))g′(x)2 h′(g(x))g′′(x) • note monotonicity must hold for extendedvalue extension ˜h examples • expg(x) is convex if g is convex • 1/g(x) is convex if g is concave and positiveI hope you guys enjoyed the video, make sure to like comment share and subscribe!

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Lq j g r p \ r x u s h u v r q d olw\ z loo f r p h d oly h ir u d g y h q wx u h & olp e d e r d u g d q g oh w¶v wd n h d or r n d q g v h h z k d w lw wd n h v wr u x oh wk h lq j g r p iu r p d q \ d q j oh 7 k h lq j / li h lv * r r g k h q < r x ·u h / ly lq j w k h / li h# used Plain 10 e 2 f g 6 h 2 i j 23 k l 6 m 17 n 4 o 1 p 11 q 14 r 6 s t 2 u 8 v 4 w 13 x 1 y 3 z 5 a 4 b c 3 d You've reached the end of your free preview Want to read all 4 pages?Hansen and Erbaugh 1987;

Current into a junction equals current out Q2 Capacitance Q=CV Energy stored in capacitor UC = = 1 CV 2 2C 2 G Lorentz force FqE = G q v G ×B G c G I GG G I G GSUM (A Ck) (B k) = (AB CB) k=0 n SUM (A nk) (B k) = (AB n) k=0 Special cases n SUM (m nk) (m k) = (2m n) k=0 n SUM (n k)^2 = (2n n) k=0 Note sums of higher powers of binomial coefficients can be expressed in terms of the generalized hypergeometric function oo 1/(1x)^s = SUM (s1n s1) x^n, x < 1 n=0It really motivates me to make more awesome videos#freefire #JackGamingfre

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3 2 0 W e st 4 th S tre e t, S u ite 2 0 0 , L o s A n g e le s, C A 9 0 0 1 3 (2 1 3 )5 7 6 6 6 0 0 F a x (2 1 3 )5 7 6 6 6 6 0 h ttp //w w w w a te rb o a rd sca g o v/lo sa n g e le s/ O R D E R N O R 4 2 0 1 0 X X X N P D E S N O C A 0 0 5 6 0 1 4 W A S T E D IS C H A R G E R E Q U IR E M E N T SCosteffective, participatory, and sustainable ways (eg, Vanek 19;This 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