Kitabın içinden
82 sonuçtan 1-3 arası sonuçlar
Sayfa 214
Theorem 2 . 2 ( Uniqueness ) . Let We ( x ) satisfy conditions ( A ) and ( B ) with m
= 3 , 8 < 1 , and € < 82 . Assume for simplicity that We is of the form We ( x ) = 6W
( r ) . We have the following results : ( 1 ) Suppose zo Eles is a bifurcation point ...
Theorem 2 . 2 ( Uniqueness ) . Let We ( x ) satisfy conditions ( A ) and ( B ) with m
= 3 , 8 < 1 , and € < 82 . Assume for simplicity that We is of the form We ( x ) = 6W
( r ) . We have the following results : ( 1 ) Suppose zo Eles is a bifurcation point ...
Sayfa 262
On the basis of Theorem 1 , some pairs of sets not admitting separation are
described in Theorem 2 . The latter theorem is illustrated by specific examples of
nonseparability in the upper half - plane C + realized by pairs of arcs with
common ...
On the basis of Theorem 1 , some pairs of sets not admitting separation are
described in Theorem 2 . The latter theorem is illustrated by specific examples of
nonseparability in the upper half - plane C + realized by pairs of arcs with
common ...
Sayfa 315
By Theorem 4 . 6 , the manifold M ( a ) has property ( VE ) . On the other hand ,
the operator Hq is positive semidefinite and not supersingular , because x1 = x2
= 0 for every vector x = ( 21 , 22 , 23 ) with Hex = 0 . By Theorem 4 . 8 , the
manifold ...
By Theorem 4 . 6 , the manifold M ( a ) has property ( VE ) . On the other hand ,
the operator Hq is positive semidefinite and not supersingular , because x1 = x2
= 0 for every vector x = ( 21 , 22 , 23 ) with Hex = 0 . By Theorem 4 . 8 , the
manifold ...
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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