Results 11 to 20 of about 4,874,961 (289)

Positive definiteness and positive differences [PDF]

Journal of Combinatorial Theory, Series A, 1972
AbstractA previous inequality [2] in certain context, which holds in the application to the monotonicity of correlations in classical discrete Heisenberg ferromagnets with 2-dimensional spin [3], is extended to positive definiteness of a function on a group.
Sherman, S
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On Positive Definiteness of Some Functions [PDF]

Journal of Multivariate Analysis, 2000
Let \(E\) be a linear space over \(\mathbb{R}\) and let \(\rho(x)\) be the \(\ell^n_p\)-norm in \(\mathbb{R}^n\). A function \(f: E\to\mathbb{C}\) is called definite if \(\sum^n_{k,j=1} c_k\overline c_jf(x_k- x_j)\geq 0\) for all \(n\in\mathbb{N}\), \(x_k\in E\), \(c_k\in\mathbb{C}\) for \(k= 1,2,\dots, n\).
Zastavnyi, Victor P
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On the Positive Definiteness of a Functional [PDF]

Canadian Mathematical Bulletin, 1979
AbstractIn this note, we have shown that the set of conditions given by Gel'fand and Vilenkin for the positive definiteness of a functional L(ϕ) [1, Theorem 7, p. 285] though sufficient is not necessary, thereby providing an answer to an open problem posed by them [1, Theorem 7, p. 285].
J. N. Pandey
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Positive definiteness constraints of effective scalar potential in Georgi–Machacek model

European Physical Journal C: Particles and Fields
The Georgi–Machacek (GM) model extends the Higgs sector of the Standard Model by introducing additional triplets, preserving custodial symmetry at tree level and allowing large triplet vacuum expectation values (VEVs) of order $$\mathcal {O}(10)$$ O ( 10
Xiaokang Du, Fei Wang
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Positive Definiteness of Forms: Numerical Identification

SIAM Journal on Control and Optimization, 2002
The paper deals with the question about positive definiteness or semidefiniteness of abstract quadratic forms on a Hilbert space (or, more generally, polynomial homogeneous forms of an even degree) arises in numerous fields of mathematics and its applications.
Aram V. Arutyunov, Alexey F. Izmailov
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Symmetry and Positive Definiteness in Oriented Matroids

, 1984
Symmetry and Positive Definiteness in Oriented ...
Morris, W., Todd, M. J.
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Defining definiteness in Turoyo [PDF]

, 2021
This paper puts forth an expanded typology of definiteness marking, which includes not only ‘strong’ and ‘weak’ but also ‘super-weak’. It also proposes a methodology for identifying ‘super-weak’ definites, and applies it to Ṭuroyo, an endangered Semitic ...
Yifrach, Miriam, Coppock, Elizabeth
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Transporting positive definiteness [PDF]

, 2022
This is a rough guide to the topic which might be worthy to develop further on. Expanding positive definiteness beyond its presupposed scope is intriguing due to a number of possible applications. The paper though looking at the first glance a little bit
Szafraniec, Franciszek
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Possessive Constructions in Egyptian and Coptic. Distribution, definiteness, and the construct state phenomenon [PDF]

, 2010
In this paper, the distribution of Coptic possessive constructions is defined in terms of syntactic constraints: the construction involving the linking element N- requires the obligatory (and simple) definiteness of the possessed noun as well as the ...
Egedi, Barbara, Barbara Egedi
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New criteria-based ℋ-tensors for identifying the positive definiteness of multivariate homogeneous forms

Open Mathematics, 2021
Positive definite polynomials are important in the field of optimization. ℋ-tensors play an important role in identifing the positive definiteness of an even-order homogeneous multivariate form.
Sun Deshu, Bai Dongjian
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