POLAR SETS OF SOME GAUSSIAN PROCESSES by MICHEL (JEBER. 1. INTRODUCTION . Let S be a bounded set of R", N=1, and consider X (., s) a centered gaussian process defined on S. Je associate to it the process (1) X* = ( X1, X2, . . . , Xa), ...
Śl Polar Morse–Smale vector fields Let X G *(M), r = 1, be a polar Morse–Smale vector field. The union of the stable manifold of a saddle of X and the source is a simple closed curve in M called a stable cycle of X. If M is a k—torus ...
Contributing further to the polar gradient of the bioelectric field may be the fact that conductivity is much greater up and down the stem than across the stem (HOPE and ROBERTSON 1953), and such conductivity might limit lateral ...
Join Theorem In the present section we generalise Oka's Join Theorem (9, Thm. 1, Thm. 2 for polar weighted homogeneous polynomials. As corollaries we recover some classical results and also we get some information about the homotopy ...
According to the tables then the differences in proportion in the hydranths appear to be polar rather than regional . But perhaps the most interesting point of all is the fact that the tables show no trace of the differences in relative ...
SOME POLAR SETS FOR THE BROWNIAN SHEET BY DAVAR KHOSHNEVISAN * Department of Mathematics The University of Utah Salt ... sets which are avoided by the path of W. In the language of Markov processes , such sets are said to be polar .
From ( 1 : b ) , if r and A be polar co - ordinates , we have r ( 12 ) = r ( 13 ) , and H ( 12 ) Since P pil , and 8 ( 73 ) cannot both be true if 7 , § 73 . U = cos 6 , for 0 < AS71 / 2 , we have P ( T ) = P ( 1 ) , and U ( 1 ...
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To be or not to be... polar ? » De la nation au peuple, du groupe à la communauté, s'affirmer en tant qu'individu était devenu l'objectif ultime, et peut-être terminal, de toute une civilisation. Mais pour Maryline – labile, ...