Results 21 to 30 of about 6,132,114 (301)
Transactions of the American Mathematical Society, 1995 The results of Boyce for random Sturm-Liouville problems are generalized to random quadratic forms. Order relationships are proved between the means of eigenvalues of a random quadratic form and the eigenvalues of an associated mean quadratic form. Finite-dimensional and infinite-dimensional examples that show these are the best possible results are ...
Gregory, John, Hughes, H. R.
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Nonlinear Analysis, 2014 In this paper, we dealt with the issue of the regularity of the linear extension of the dynamical system. Using the Lyapunov function with the changeable sign, conditions for the regularity of the entire examined dynamical system were given, assuming ...
Dariusz Paczko, Viktor Kulyk
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Groups from Class 2 Algebras and the Weil Character [PDF]
Advances in Group Theory and Applications, 2017 We investigate the behaviour of the Weil character of the symplectic group on restriction to subgroups arising from commutative nilpotent algebras of class 2. We give explicit descriptions of the decomposition of the Weil character when restricted to the
Christakis A. Pallikaros, Harold N. Ward
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Optimal AK composite estimators in current population survey
Statistical Theory and Related Fields, 2017 The Current Population Survey (CPS) is a monthly household sample survey with a sample consisting of eight rotation groups. Sampled individuals of a rotation group are interviewed four consecutive months and another four consecutive months after resting ...
Yang Cheng, Jun Shao, Zhou Yu
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ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS
Проблемы анализа, 2016 In this article we consider certain types of weighted generalized functions associated with nondegenerate quadratic forms. Such functions and their derivatives are used for constructing fundamental solutions of iterated ultra-hyperbolic equations with ...
E. L. Shishkina
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The coefficients of transitivity of the posets of MM-type being the highest supercritical poset
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022 The representations of partially ordered sets (abbreviated as posets), introduced by L. A. Nazarova and A. V. Roiter (in matrix form) in 1972, play an important role in the modern representation theory. In his first paper on this topic M. M.
В. М. Бондаренко +2 more
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Quadratic engel curves and consumer demand [PDF]
, 1997 This paper presents a model of consumer demand that is consistent with the observed expenditure patterns of individual consumers in a long time series of expenditure surveys and is also able to provide a detailed welfare analysis of shifts in relative ...
Blundell, Richard +8 more
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Block methods for linear Hamiltonian systems
上海师范大学学报. 自然科学版, 2014 For the numerical treatment of Hamiltonian differential equations,symplectic integrators are regarded as the most suitable choice.In this paper we are concerned with the applicability of block methods for the discrete approximate solution of linear ...
TIAN Hongjiong, CHEN Bailin
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On the Index of a Quadratic Form [PDF]
Canadian Mathematical Bulletin, 1958 Given a vector space V = {x, y, ...} over an arbitrary field. In V a symmetric bilinear form (x,y) i s given. A subspace W is called totally isotropic [t.i.] if (x,y) = 0 for every pair x W, y W.Let Vn and Vm be two t.i. subspaces of V; n < m. Lower indices always indicate dimensions. It is a well known and fundamental fact of analytic geometry that
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Distribution of Quadratic Forms and Ratios of Quadratic Forms
The Annals of Mathematical Statistics, 1953 Let the random variable $X = (X_1, X_2, \cdots, X_n)$ have the probability density $p(x) = \frac{\det^{\frac{1}{2}} \Omega}{(2\pi)^{n/2}} e^{-\frac{1}{2}x\Omega x'}$ where $x\Omega x'$ is positive definite. The present article solves, by means of Laguerian expansions, the problem of finding the distribution of any nonnegative quadratic form $XPX'$.
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