The problem o f determining the moments and the Fourier transforms o f B-splines with arbitrary knots is considered. There exists a simple connect ion between the moments o f such splines and the so-called extended Stirling numbers o f the second kind which are defined in section 2. Some recurrence relations for the moments o f B-splines with arbitrary knots are given in section 3. In the case ...

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Using recent development in Poletsky theory of discs, we prove the following result: Let X, Y be two complex manifolds, let Z be a complex analytic space which possesses the Hartogs extension property, let A (resp. B) be a non locally pluripolar subset of X (resp. Y ). We show that every separately holomorphic mapping f : W := (A × Y ) ∪ (X × B) −→ Z extends to a holomorphic mapping f̂ on Ŵ := {...

CO L L E G E L I B R A R I A N S c a n n o t d e p e n d u p o n p r o f e s s i o n a l l i b r a r y l i t e r a t u r e a l o n e f o r b u i l d i n g u p t h e i r b o o k c o l l e c t i o n s . T h e f a c u l t i e s o f c o l l e g e s a n d u n i v e r s i t i e s p l a y a n i m p o r t a n t r o l e i n t h e s e l e c t i o n o f b o o k s f o r t h e c o l l e g e l i b r a r y a ...

D escrib ing the jo b m arke t as a “ percentage game,” R obert Stanelle, manager o f re c ru itm e n t and co llege re la tions fo r Dresser Atlas, a d iv is io n o f Dresser Indus tr ies o f H ouston, le c tu re d last n ig h t in N ie u w la n d on “ H o w to m arket y o u rs e lf fo r a jo b in a tig h t econom y o r h o w to get the jo b w hen no one rea lly w ants yo u .” Stanelle gave th...

Q-reducibility is a natural generalization of many-one reducibility (m-reducibility): if A ≤m B via a computable function f(x), then A ≤Q B via the computable function g(x) such that Wg(x) = {f(x)}. Also this reducibility is connected with enumeration reducibility (e-reducibility) as follows: if A ≤Q B via a computable function g(x), then ω −A ≤e ω −B via the c. e. set W = {〈x, 2y〉 | x ∈ ω, y ∈...

This paper concerns the discretization of the initial value problem ut = f(u) under the three structural conditions: (i) f : C −→ C , Re〈f(u), u〉 ≤ a− b|u|, a ≥ 0, b > 0 for all u ∈ C ; (ii) f : C −→ C , Re〈f(u), u〉 < 0 for u ∈ C \B(0, R) and R > 0; (iii) f : W −→ H, Re〈f(w), w〉H ≤ a− b|w| 2 H , a ≥ 0, b > 0 for all w ∈ W for complex Hilbert spaces W ⊆ H. Dahlquist’s G-stability theory is used ...

In this paper we consider Deligne-Lusztig varieties. We explicitly describe the canonical bundles of their smooth compactifications in terms of homogeneous line bundles pulled back from G=B. Using this description we show that the members (one member in each dimension) of a special family of DeligneLusztig varieties have ample canonical bundles. A consequence is that, unlike the closely related...

T he B H 3-only B C L -2 protein B ID is thought, in som e cases, to be responsib le fo r the initiation o f cytochrom e c release from m itochondria during apoptosis. In o rder to study this process in an in vitro system , the ra t B id gene w as cloned, recom binant B ID purified , and truncated B ID (tB ID ) produced. A dditionally , reliable p rocedures w ere developed fo r the isolation o ...