Kitabın içinden
72 sonuçtan 1-3 arası sonuçlar
Sayfa 130
The number k in equation ( 71 ) is ( identically ) zero . Proof . It is in this statement
that we use the assumption ( 44 ) . Suppose that k > 0 . Note that then the
functions T ( ) , x ) and ( 1 , x ) in ( 66 ) are defined up to the following
transformations ...
The number k in equation ( 71 ) is ( identically ) zero . Proof . It is in this statement
that we use the assumption ( 44 ) . Suppose that k > 0 . Note that then the
functions T ( ) , x ) and ( 1 , x ) in ( 66 ) are defined up to the following
transformations ...
Sayfa 138
In particular , for some y e Dg . ( x1 ) \ { x1 } we have at least one zero of Po ( a , y
) inside the circle Co . By ( 85 ) and the Rouché theorem , inside the circle Co the
polynomial Qy ( ~ ) : = det L ( 1 , y ) has at least one zero . Denote this zero by H ...
In particular , for some y e Dg . ( x1 ) \ { x1 } we have at least one zero of Po ( a , y
) inside the circle Co . By ( 85 ) and the Rouché theorem , inside the circle Co the
polynomial Qy ( ~ ) : = det L ( 1 , y ) has at least one zero . Denote this zero by H ...
Sayfa 426
Algorithm 1 . 1 ) We start with the ( ( n − 1 ) x n ) - matrix Mo the rows of which
coincide with the coordinates of the vertices Do , . . . , DO _ 1 of An - 2 ; see ( 1 ) .
2 ) Replacing a unique zero row in Mo by ( 1 , 1 , . . . , 1 , 0 ) , we obtain a matrix
Mı ...
Algorithm 1 . 1 ) We start with the ( ( n − 1 ) x n ) - matrix Mo the rows of which
coincide with the coordinates of the vertices Do , . . . , DO _ 1 of An - 2 ; see ( 1 ) .
2 ) Replacing a unique zero row in Mo by ( 1 , 1 , . . . , 1 , 0 ) , we obtain a matrix
Mı ...
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL loSPACES | 23 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
ABSTRACT The nonexistence of isometric embeddings em line with p q is proved | 296 |
Telif Hakkı | |
4 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients collection compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding English equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic identity implies inequality integral introduce invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently Suppose surface symmetric Theorem theory transformation transl true unique values vector vertex vertices zero