نتایج جستجو برای: powers r d
تعداد نتایج: 947437 فیلتر نتایج به سال:
Let F be a homogeneous polynomial of degree d in m+ 1 variables defined over an algebraically closed field of characteristic zero and suppose that F belongs to the s-th secant varieties of the standard Veronese variety Xm,d ⊂ P( m+d d )−1 but that its minimal decomposition as a sum of d-th powers of linear forms M1, . . . ,Mr is F = M 1 + · · · + M r with r > s. We show that if s + r ≤ 2d + 1 t...
Let F be a homogeneous polynomial of degree d in m+ 1 variables defined over an algebraically closed field of characteristic zero and suppose that F belongs to the s-th secant varieties of the standard Veronese variety Xm,d ⊂ P( m+d d )−1 but that its minimal decomposition as sum of d-th powers of linear forms M1, . . . ,Mr is F = M 1 +· · ·+M r with r > s. We show that if s+r ≤ 2d+1 then such ...
In this article, we consider a class of functions on $${\mathbb {R}}^d$$ , called positive homogeneous functions, which interact well with certain continuous one-parameter groups (generally anisotropic) dilations. Generalizing the Euclidean norm, appear naturally in study convolution powers complex-valued {Z}}^d$$ . As spherical measure is Radon unit sphere invariant under symmetry group to eac...
The purpose of this note is to point out an interesting connection between the structure of a commutative, Noetherian ring of prime characteristic as a (left) module over its ring of diierential operators and various well studied properties such as F-purity, F-regularity, and strong F-regularity. Theorem 2.2 establishes the rst connections between the D-module structure of rings of characterist...
The probability distribution of random walks on linear structures generated by random walks in d-dimensional space, Pd(r, t), is analytically studied for the case ξ ≡ r/t1/4 ≪ 1. It is shown to obey the scaling form Pd(r, t) = ρ(r)tξfd(ξ), where ρ(r) ∼ r 2−d is the density of the chain. Expanding fd(ξ) in powers of ξ, we find that there exists an infinite hierarchy of critical dimensions, dc = ...
Recently R. M. Wilson used Fleck’s congruence and Weisman’s extension to present a useful lemma on polynomials modulo prime powers, and applied this lemma to reprove the Ax-Katz theorem on solutions of congruences modulo p and deduce various results on codewords in p-ary linear codes with weights. In light of the recent generalizations of Fleck’s congruence given by D. Wan, and D. M. Davis and ...
Standards 87 Standards of practice and reporting standards for carotid artery angioplasty and stenting C J Powers, J A Hirsch, M S Hussain, A T Patsalides, K A Blackham, S Narayanan, S-K Lee, J F Fraser, K R Bulsara, C J Prestigiacomo, C D Gandhi, T Abruzzo, H M Do, P M Meyers, F C Albuquerque, D Frei, M E Kelly, G L Pride, M V Jayaraman, on behalf of the Standards and Guidelines committee of t...
Recently R. M. Wilson used Fleck’s congruence and Weisman’s extension to present a useful lemma on polynomials modulo prime powers, and applied this lemma to reprove the Ax-Katz theorem on solutions of congruences modulo p and deduce various results on codewords in p-ary linear codes with weights. In light of the recent generalizations of Fleck’s congruence given by D. Wan, and D. M. Davis and ...
The importance of collimator R&D with test beam facilities is demonstrated with the example of ILC collimator studies at SLAC End Station A. Related LHC collimator aspects and longer term plans are addressed. Presented at IDTB07, ILC Detector Test Beam workshop, Fermilab, USA, 2007.
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