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Copyright(C) HIROYUKI YAMADA All Rights Reserved. 5 The History of Intermittent Fasting 5 The Science of Intermittent Fasting. _ ˎs ̃J W F v C x g z T AKAnail( A J l C E ˂ j B ܂ G N X e s Ȃ Ă ܂ B _ ˓d S w h w x Ŋ ł B Ύs A s A O ؎s A _ A w s s ߂ ł B.

S A t @ c c @ @ TEL FAX ̃y W ł͍ ˎ A ㉇ ̃C x g A k c ֘A X P W A n ̃C x g Ȃǂ Љ ܂ B. T u i p c ^ x W F ̂ Љ ł B f C p c A I t B X p c A K p c, s e B X, _ X, s p c ɂ 劈 ̔ r p c ł B T r X ܂ B o A I t B X p c A E K E _ X E s e B X ȂǁA 낢 ȏ ʂŊ 􂷂 A d ̃X g b ` p c I. It follows that f c x f t x ash Since f c x g x andg is integrable we obtain by It follows that f c x f t x ash since f c x g x andg School Syracuse University;.

Uploaded By jennynguyen0491 Pages 122 This preview shows page 67 70 out of 122 pages. Course Title ECN MISC;. Initialvalue problems arise in many applications Next we consider a problem in which a driver applies the brakes in a car We are interested in how long it takes for the car to stop Recall that the velocity function v (t) v (t) is the derivative of a position function s (t), s (t), and the acceleration a (t) a (t) is the derivative of the.

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QS ( ) ( )x,t =Asin kx−ωt sin kxωt (5) With a bit of trigonometry, specifically the angleaddition formula for the sine function, Eq (5) can be rewritten as qS () ()x,t =2Asin kx cos ωt (6) So instead of being a function of kx±ωt, a standing wave is a product of a function of x and a function of t. V A s A l s A V A w w ̊ό E T r X ځB A A W A ւ̗ s { Ń V A ׋ u ̈ē ȂǁB s ̍ۂ͂ Ђ k. S b g } U , t, t @ b V , I V , A ̖ , m , t, z y W J ݂ ܂ B.

ޗnj s w O ɂ A O p ڈ ̃J t F G ݁ ݂ X y X B c Ǝ 11 18 B x @ j B ԏꂠ B g ̂ Ԃ ͂ 𒆐S Ɛ P L h N y ݉ B. R ܉w AC3 ԏo k ꕪ ̔ e face west ͒S X ^ C X g ŏ Ō ܂ŃA V X ^ g g 킸 } c } Ŏ{ p 邨 q l ɂƂ Ă w A T ł B. Which means T is independent of x, and, therefore, the tension is constant along the string If we also assume T is independent of t and ‰ is constant along the string, equation (53) can be simplified to utt = T ‰ uxx In general, T and ‰ are nonnegative Therefore, letting c = s T p our equation becomes utt = c2uxx This is known as the wave equationWe will see later that c.

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12/1 225 n ^ J n B225 n0 ԑ ͓ C { R z { 25 n5000 ԑ ͍ a ƂȂ Ă B. Uploaded By jennynguyen0491 Pages 122 This preview shows page 67 70 out of 122 pages. _ ˎs ̃J W F v C x g z T AKAnail( A J l C E ˂ j B ܂ G N X e s Ȃ Ă ܂ B _ ˓d S w h w x Ŋ ł B Ύs A s A O ؎s A _ A w s s ߂ ł B.

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Taste of Okinawa i e C X g I u I L i j ́A ߔe s ɂ 鉫 o g ŐH ̔M u 쓾 v( ) v 񂪉^ c 鉫 ꗿ ̌ ƁA N t g r o ̓ ̊ X ł B. Course Title ECN MISC;. It follows that f c x f t x ash Since f c x g x andg is integrable we obtain by It follows that f c x f t x ash since f c x g x andg School Syracuse University;.

I B G E A T C X ē f w N x ̂c u c Ȃǂ̒ʔ̍ŐV J Ă ܂ B I B G E A T C X ē f w N x ̂c u c ʔ̂Ȃ A T C g ɂ C B. 22 WAVES DUE TO INITIAL DISTURBANCES 4 and transmitted waves in the branches are p1(t−x/c1) and p2(t−x/c2)At the junction x= 0 we expect the continuity of pressure and fluxes, hence pi(t)pr(t)=p1(t)=p2(t) (210) pi − pr Z = p1 Z1 p2 Z2 (211) Define the reflection coefficient Rto be the amplitude ratio of reflected wave to incident wave, then. T C O f B X N E A e B b g E h b a r ̊e p i ̔ E ʔ́B f B X N A j z A X p C N ADVD Ȃǂ̊e p i ̔ E ʔ̂ s Ă ܂ B Event @ F @DISCRAFT ULTIMATE OPEN19(DUO).

䌧 s t ̃G X e T E G X e X N E v C x g T E Y @La cherir New 点 N V ^ R i E B X ̊ g h ~ ̂ ߂̋x Ɨv ɔ 25 ( y) `5 6 ( ) ܂ł̊ Ԃ x ݂ Ă ܂ B. 2 Necessary Optimality Conditions 21 Geometric Necessary Conditions AsetC ⊆ n is a cone if for every x ∈ C, αx ∈ C for any α>0 AsetC is a convex cone if C is a cone and C is a convex set Suppose x¯ ∈ SWe have the following definitions • F0= {d ∇f(¯x)td. T C O f B X N E A e B b g E h b a r ̊e p i ̔ E ʔ́B f B X N A j z A X p C N ADVD Ȃǂ̊e p i ̔ E ʔ̂ s Ă ܂ B Event @ F @DISCRAFT ULTIMATE OPEN19(DUO).