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42 sonuçtan 1-3 arası sonuçlar
Sayfa 419
The restriction of a to the underlying graphs l ' and I " is equal to a ' and a " ,
respectively . The decomposition principle reads as follows . In a canonical way ,
every isometric state a of a labeled graph X generates a decomposition ΣΧ . EEE
into ...
The restriction of a to the underlying graphs l ' and I " is equal to a ' and a " ,
respectively . The decomposition principle reads as follows . In a canonical way ,
every isometric state a of a labeled graph X generates a decomposition ΣΧ . EEE
into ...
Sayfa 425
Let au { LuiCu } be the restriction of a to ru . Then au is an equilibrium isometric
state of the graph Xú . Thus , ( diag Kilu , Lu ) = ( JC.B. Lu , Lu ) = ( JxL , L ) = (
JBL , L ) , UEU UEU and the series on the left converges absolutely . We have (
diag ...
Let au { LuiCu } be the restriction of a to ru . Then au is an equilibrium isometric
state of the graph Xú . Thus , ( diag Kilu , Lu ) = ( JC.B. Lu , Lu ) = ( JxL , L ) = (
JBL , L ) , UEU UEU and the series on the left converges absolutely . We have (
diag ...
Sayfa 447
The restriction imposed on the norm may be lifted in the case of a potential that
splits into a sum of functions ... In particular , under rather mild restrictions on the
potential , for d = 2 or d = 3 , Skriganov has justified the wellknown Bethe ...
The restriction imposed on the norm may be lifted in the case of a potential that
splits into a sum of functions ... In particular , under rather mild restrictions on the
potential , for d = 2 or d = 3 , Skriganov has justified the wellknown Bethe ...
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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
Sık kullanılan terimler ve kelime öbekleri
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