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33 sonuçtan 1-3 arası sonuçlar
Sayfa 478
The present paper contains no further investigation of the functions w ; . We
calculate these functions explicitly for the wave equation in a cone . The
expressions obtained show that w ; ( x , t ) = 0 for t < | a ] , and the singular
support satisfies ...
The present paper contains no further investigation of the functions w ; . We
calculate these functions explicitly for the wave equation in a cone . The
expressions obtained show that w ; ( x , t ) = 0 for t < | a ] , and the singular
support satisfies ...
Sayfa 1019
not only on e and the metric of T but also on the particular metric cone structure
on T , i . e . , on a particular choice of ... the notions of differentiability and
differential do not depend on w if the tangent cones are given by a map e as
above ( see ...
not only on e and the metric of T but also on the particular metric cone structure
on T , i . e . , on a particular choice of ... the notions of differentiability and
differential do not depend on w if the tangent cones are given by a map e as
above ( see ...
Sayfa 1025
If a metric cone structure on ( X , x ) exists , the projection P : Dil , ( X ) + R + is
surjective . On the other hand , if the map P is surjective and X is proper , then it is
easy to see that the group Dil , ( X ) splits as a direct product Iz x R + such that P ...
If a metric cone structure on ( X , x ) exists , the projection P : Dil , ( X ) + R + is
surjective . On the other hand , if the map P is surjective and X is proper , then it is
easy to see that the group Dil , ( X ) splits as a direct product Iz x R + such that P ...
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algebra angles apply approximations arbitrary assume asymptotics belongs boundary bounded braid closed coefficients commutative complete components condition cone Consequently consider constant construction contains continuous convergence Corollary corresponding curvature curve defined definition denote depend differential dimension domain element equal equation estimate example exists fact field finite formula function geodesic given Hence homomorphism identity implies inequality integral interval lattice Lemma limit Math Mathematical matrix means measure method metric minimal Moreover norm Note obtain operator pair particular periodic points positive present problem projection Proof Proposition prove refinable regular relation Remark respectively root satisfies sequence side similar smooth solution space spectrum statement subgroups Subsection suffices Suppose surface Theorem theory transformation triangle true unique values vectors weight zero