Catwatching: The Essential Guide to Cat Behaviour by Desmond Morris

By Desmond Morris

The character of the cat is an interesting mix of affection, domesticity and energetic independence. you might imagine you recognize your cat as he purrs on your lap, yet encounter your puppy on the street on a dismal evening and also you may well imagine that Bagpuss suffers from a twin character. each tom cat puppy consists of an inheritance of fantastic sensory capacities, vocal utterances, physique language and territorial monitors. by means of answering such questions as 'what does a cat sign with its ears? 'why does a cat rub up opposed to your leg?' and 'why does a cat swing its head back and forth while observing its prey?', Desmond Morris decodes the non-public international of the cat. Your cat is stuffed with surprises and our best zoologist is set to bare their secrets and techniques during this fantastically repackaged version of a far enjoyed bestseller.

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Infolgedessen hat y als Funktion von t in t = 0 einen Windungspunkt erster Ordnung und lässt sich wegen y(O) Form = 0 in der darstellen. Explizit findet man durch Umkehrung von 1 1 und -1= ( y(t) 1 t = 2 y2 - 3 y3 + 4 y4 - + ... ,. zt3 12 . 1] 00 ~ _1_ f e-st~ y(t) V2 0 = T(1/2) _ ~ ~ s 112 3 s + V2 12 T(3f2) Ws~tz ! + v;: s~tz - sstz - · .. 60 3. Kapitel: Abelsche Asymptotik der 2,- Transformation: /(s) im Unendlichen fürs +oo in Iarcs I < n/2. Diese asymptotische Entwicklung lässt einen interessanten Schluss auf die (vollständige) Gammafunktion zu.

1 Ji;r(oc+ ~)(;f'"J (z)= jei"'(1-x2)"'-<112ldx. (8) -I Setzt man z = i s, x = t -1, so erhält man: y; r(IX+ (9) ~) eSt'" 2 =! 2 e-s f .. (i s) e-st [t (2- t)]<>-{l/2) dt, 0 also ein endliches ~-Integral. tat'- ~1/2))(- ~r 2 .. )• ((X- ~1/2)) t>+<>-{1/2>. 1] wegen v n r(oc + 2 9toc > -1/2: J.. (i s) ~ 21) Cis)- .. +{l/2) y fürs-+ oo gleichmässig in Iarcs I ~ (n/2)- {J. Unter Verwendung von Anhang I, Nr. 3 und 4 können wir hierfür schreiben: (10) 1(") t s J, '" ~ 'Eoo -1- ---------':-;o-;::::--------'r(v+ot+(1/2))F(v-ot+(1/2)} COSot:rt ...

T e j/2:n;8/2 v~o 2• v! ~o 2• v! T(v+ot+(l/2)}F(v-ot+(1/2)} z• § 2. Beispiele: 4. Besselsche Funktionen für nichtreelle Werte 57 wenn z in der oberen Halbebene 0 < arcz < n gegen oo strebt, gleichmässig in <5 ~ arcz ~ n- <5. Dabei ist in dem Fall, dass v- oc. + (1/2) negativ ganzzahlig oder 0 wird, d. h. bei oc. = p + (1/2) (p = 0, 1, ... ) für v = 0, 1, ... Jl • F (V - OC. ~0COS (2P+1 2 71: + h) F(- (p- v) + h) = {-1)•+1 (p _ v)! Da aus (8) ersichtlich ist, dass z-

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