Note on the Preceding Paper
نویسندگان
چکیده
منابع مشابه
Remarks on the Preceding Paper Of
It is obvious that lp (/> 2:1) or any Hubert space satisfies (A). In §3 it is shown that Lp (p>l) does likewise. The method of proof is entirely different from that of Clarkson. In §4 it is shown that if X is any Banach space having the property that every function on a linear interval to X, which satisfies a Lipschitz condition, is differentiable almost everywhere, then also every function of ...
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In Section 3.1 of [1] a methodology is presented to compute the salient points of a 3D mesh based on the computation of its protrusion function, see Equation (1) in [1]. Explicitly each point υ of the Mesh is examined as a potential salient point. Specifically a geodesic neighborhood is constructed for each point of the mesh and it is considered as a salient point if it is the local maximum of ...
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The proof of the above theorem, derived from ideas of A. Dolich, is more direct then the original proof of Theorem 0.1. Unfortunately, Theorem 0.2 fails in the case when φ(C, ā) is not closed and bounded. Our proof of Theorem 0.1 is similar to the proof of Y. Peterzil and A. Pillay, and is also more direct then the original proof of A. Dolich. We also derive an appropriate generalization of The...
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Recently Broyden 1] proved a property of orthogonal matrices from which he derived Farkas' lemma and some related results. It is shown that Broyden's result straightforwardly follows from well-known theorems of the alternative, like Motzkin's transposition theorem and Tucker's theorem, which are all logically equivalent to Farkas' lemma; we also answer the question of Broyden on how to eecientl...
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ژورنال
عنوان ژورنال: The Classical Review
سال: 1899
ISSN: 0009-840X,1464-3561
DOI: 10.1017/s0009840x0004261x