a p p r e h e n d s b u t d o e s n o t a p p r e h e n d t h i s s h a p e i n a w a y t h a t i s c o m p l e t e l y i n d e p e n d e n t f r o m m a t e r i a l c o n d i t i o n s . T h e p r o c e s s o f a b s t r a c t i o n i n i n c o m p l e t e s i n c e t h e c a t o n l y k n o w s t h i s s h a p e a s i t c h a r a c t e r i z e s a p a r t i c u l a r o b j e c t a n d n o t i...

R. W. Pattie Jr., 2 J. Anaya, H. O. Back, 2 J. G. Boissevain, T. J. Bowles, L. J. Broussard, R. Carr, D. J. Clark, S. Currie, S. Du, B. W. Filippone, P. Geltenbort, A. Garćıa, A. Hawari, K. P. Hickerson, R. Hill, M. Hino, S. A. Hoedl, 9 G. E. Hogan, A. T. Holley, T. M. Ito, 5 T. Kawai, K. Kirch, S. Kitagaki, S. K. Lamoreaux, C.-Y. Liu, J. Liu, M. Makela, 11 R. R. Mammei, J. W. Martin, 12 D. Mel...

Proof of Lemma 1: This retailer would see (y/L) of the total demand, hence the cumulative distribution function of its demand is H(s) = F(sL/y) where F() gives the cumulative distribution function for total market demand, x. Differentiating H(s) gives the required result. () parts) by on (integrati) () () () () () () () () () () () 0 , max(0 0 0 0 0 0 ds s F L y ds s f s y Lq L y ds s f s y Lq ...

R ea d T ex t C h ap te r 1 R ea d T ex t C h ap te r 2 R ea d T ex t C h ap te r 4 & 5 C o n n ec t M o ti o n ( C h ap te r 2 & 3 ) w it h In te ra ct io n s (C h ap te r 4 & 5 ) u si n g V ec to rs R ea d C P S C h ap te r 4 W o rk ed C P S P ro b le m s C h ap . 3 N ex t 2 W ee ks W o rk p ro b le m s in C h ap te r 4 W o rk p ro b le m s in C h ap te r 5 W o rk p ro b le m s in C P S C h a...

D 7 ] \ N > F D " % > > F > = F F F F = K ^ W C C & > > > _ ' 7 ( $ @ ^ @ ^ < Y > = > > > = F > F ] \ \ ] ] F > > F a @ + > > F 7 / c Z = > = F F F 2 U > F < & 5 & F > F < 1 > > < < = = ; 7 ] \ \ \ N > F D Z & > > F F h > F = & ^ W W W W W + I [ 1 # f C f C @ $ @ @ # 1 + ^ M M 1 I F > F \ ] ] \ ] c = = k 0 J T < F = : 7 D 3 / Z P 9 D = d @ g M [ 1 [ = > F F F F > > = > F F h Q \ \ \ ] 7 > F ( c...

P h y t o p l a n k t o n c o m p o s i t i o n a n d t h e r a n g e o f s e a s o n a l p a t t e r n s o f a b u n d a n c e a r e p r e s e n t e d f o r t h e t i d a l f r e s h w a t e r r e g i o n s i n t w o V i r g i n i a r i v e r s b a s e d o n d a t a a c c u m u l a t e d m o n t h l y f r o m 1 9 8 6 t h r o u g h 1 9 9 9 . D i a t o m s d o m i n a t e d t h e f l o r a d u r...

Problem: Determine the complex structure of the stable manifolds of f . It is not hard to see, using f(W s p ) = W s fp, that W s p is a monotone union of balls, and this in turn implies [Br] that it is diffeomorphic to real Euclidean space. Moreover, by the contracting nature of the dynamics, one sees that the Kobayashi pseudometric of W s p vanishes identically. However, when dim(W s p ) ≥ 3,...

IT WAS established by Brown[2] that any locally-fiat imbedding of S "-~ in S" divides S" into two domains, each of whose closures is an n-ball. Somewhat later[5] the h-eobordism theorem further established that if S"1 is a smooth of P L submanifold of S" then so are the resulting n-balls, provided that n > 5. (The case n < 3 had been known since Alexander[l].) For n = 4 little is known. The goa...