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81 sonuçtan 1-3 arası sonuçlar
Sayfa 435
The restriction to M of a function linear on E will be referred to as a height function
. Among the height functions , the Morse functions form an everywhere dense set
. For example , a function of the form fA on the classical Lie group G is a Morse ...
The restriction to M of a function linear on E will be referred to as a height function
. Among the height functions , the Morse functions form an everywhere dense set
. For example , a function of the form fA on the classical Lie group G is a Morse ...
Sayfa 439
If two functions with commuting gradient flows belong to a connected family of
Morse functions on a compact ... The condition of commutativity implies that the
gradient flow of the first function preserves the stationary set of the other function .
If two functions with commuting gradient flows belong to a connected family of
Morse functions on a compact ... The condition of commutativity implies that the
gradient flow of the first function preserves the stationary set of the other function .
Sayfa 485
0,1 , 2 . in the corresponding elements , i.e. , in the expansion of the functions nk (
' ) , 0 < k < J , with respect to the basis { en ... For this reason , the coefficients in
the expansion of a function with respect to a Wiener basis can be viewed as the ...
0,1 , 2 . in the corresponding elements , i.e. , in the expansion of the functions nk (
' ) , 0 < k < J , with respect to the basis { en ... For this reason , the coefficients in
the expansion of a function with respect to a Wiener basis can be viewed as the ...
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İçindekiler
REPRESENTATION OF A FORM | 17 |
10 The automorphism groups of discriminant forms | 59 |
12 A general formula for the weight of representations | 65 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
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apply arbitrary assume assumptions asymptotics bases basis belongs boundary bounded classical coefficients coincides compact complex condition Consequently consider constant construction contains continuous convex corresponding curve decomposition defined definition denote depends described determined differential dimension direct discrete domain eigenfunctions eigenvalues elements English equal equation estimate example exists factor field finite fixed formula function given gives graph implies independent inequality integral introduce invariant lattice Lemma limit linear manifolds Math Mathematical matrix measure method Moreover observe obtain operator orbits particular periodic perturbation Phys positive potential present problem Proof properties Proposition prove quantum relation Remark representations respect restriction result satisfies similar smooth solutions space spectral spectrum statement Subsection sufficiently surface symbol Theorem theory transformation transl unique values vector