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Be Polar from books.google.com
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, ...
Be Polar from books.google.com
Śl Polar Morse–Smale vector fields Let X G *(M), r = 1, be a polar Morse–Smale vector field. ... cycle of X. If M is a k—torus and X is a polar Morse–Smale vector field on M then X has 2k stable cycles which intersect each other at the source.
Be Polar from books.google.com
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 transport ...
Be Polar from books.google.com
Let g : C” – C and h: C” – C be polar weighted homogeneous polynomials. Consider the polynomial on C" X (C" defined by f(z,w) = g(z) –– h(w), which is also a polar weighted homogeneous polynomial (Example 2.6). Let x = f_1(1) C C” x C", ...
Be Polar from books.google.com
Jacques Azema, Michel Emery, Marc Yor. SOME POLAR SETS FOR THE BROWNIAN SHEET By DAVAR KHOSHNEVISAN * Department of Mathematics The University of Utah Salt Lake City , UT . 84112 , U.S.A. ...
Be Polar from books.google.com
3 Madl dle roover o Alegre bound Pact so foret Laos Westdin dooloo bara pract Edullaert prox gewah long en hater betce gilliskakak so be Polar topa 1 3. Jo o + too O. 1 . 9.21 Хе 2 3 % M O 3 0 44121. de cover 13 0 . 5 . o 0 I. 66 3 0 . 0 0 . 6.
Be Polar from books.google.com
Let r and O be polar coordinates for R " , 0 r < 0,0 eS " -1 ( the unit sphere in R " ) . A domain D in R " is a starlike domain ( with respect to the origin ) if there exists a function B : S " -1 → R , ß continuous and strictly positive , so that D = { re : 0 sr ...
Be Polar from books.google.com
the osculating plane of D , at Ai , and let C , be the osculating conic of r ' , having the contact of third order at An . Then in order that the polar line of A , with respect to C , and the polar line of A , with respect to C , are polar to each other with ...
Be Polar from books.google.com
From ( 1 : b ) , if r and A be polar co - ordinates , we have r ( 12 ) = r ( 13 ) , and H ( 12 ) 8 ( 73 ) cannot both be true if 7 , § 73 . Since P pil , and U = cos 6 , for 0 < AS71 / 2 , we have P ( T ) = P ( 1 ) , and U ( 1 , ) = U ( 73 ) cannot both be true if 7  ...
Be Polar from books.google.com
From ( 1 : b ) , if r and 8 be polar co - ordinates , we have r ( 12 ) = 1 ( 73 ) , and H ( 12 ) H ( 73 ) cannot both be true if 7 , † T.z. Since P = r , and U = cos 6 , for 0 < A < 1/3 we have P ( 1 , ) = P ( 13 ) , and U ( 1 , ) U ( 13 ) cannot both be true if tz ( g )  ...