共查询到20条相似文献,搜索用时 15 毫秒
1.
Doklady Mathematics - Two results concerning the number $$P(2,n)$$ of threshold functions and the singularity probability $${{\mathbb{P}}_{n}}$$ of random ( $$n \times n$$ ) $${\text{\{ }} \pm... 相似文献
2.
Gelfand-Kirillov dimensions of the ℤ2-graded oscillator representations of \mathfrak{s}\mathfrak{l}(n)
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Zhan Qiang Bai 《数学学报(英文版)》2015,31(6):921-937
We find an exact formula of Gelfand-Kirillov dimensions for the infinite-dimensional explicit irreducible sl(n,F)-modules that appeared in the Z2-graded oscillator generalizations of the classical theorem on harmonic polynomials established by Luo and Xu. Three infinite subfamilies of these modules have the minimal Gelfand-Kirillov dimension. They contain weight modules with unbounded weight multiplicities and completely pointed modules. 相似文献
3.
Jean-Yves Beziau 《Logica Universalis》2018,12(1-2):55-81
According to Boole it is possible to deduce the principle of contradiction from what he calls the fundamental law of thought and expresses as \(x^{2}=x\). We examine in which framework this makes sense and up to which point it depends on notation. This leads us to make various comments on the history and philosophy of modern logic. 相似文献
4.
N. V. Krylov 《Probability Theory and Related Fields》2010,147(3-4):583-605
We prove Itô’s formula for the L p -norm of a stochastic ${W^{1}_{p}}$ -valued processes appearing in the theory of SPDEs in divergence form. 相似文献
5.
M. I. Graev 《Acta Appl Math》2004,81(1):93-120
Complex analogs of the Gelfand–Tsetlin patterns are introduced. Infinite-dimensional representations of $\mathfrak{g}\mathfrak{l}\left( {n,\mathbb{C}} \right)$ in the vector spaces spanned on these patterns are constructed. Exponentials of these representations are described. These exponentials are operators T(x), x∈GL(n,C), defined only in neighborhoods of the identity element of GL(n,C). A system of differential-difference equations for matrix elements of operators T(x) is constructed. Explicit formulas for matrix elements are obtained for the case x∈Z ±, where Z + and Z ? are the triangular unipotent subgroups. Representations of $\mathfrak{g}\mathfrak{l}\left( {n,\mathbb{C}} \right)$ are also constructed; bases of these representations consist of Gelfand–Tsetlin patterns having infinitely many rows. 相似文献
6.
In this paper, based on the basis composed of two sets of splines with distinct local supports, cubic
spline quasi-interpolating operators are reviewed on nonuniform type-2 triangulation. The variation diminishing operator is defined by discrete linear functionals based on a fixed number of triangular mesh-points, which can reproduce any polynomial of nearly best degrees. And by means of the modulus of continuity, the estimation of the operator approximating a real sufficiently smooth function is reviewed as well. Moreover, the derivatives of the nearly optimal variation diminishing operator can approximate that of the real sufficiently smooth function uniformly over quasi-uniform type-2 triangulation. And then the convergence results are worked out. 相似文献
7.
This paper deals with the existence of time-periodic solutions to the compressible Navier–Stokes equations effected by general form external force in \({\mathbb{R}^{N}}\) with \({N = 4}\). Using a fixed point method, we establish the existence and uniqueness of time-periodic solutions. This paper extends Ma, UKai, Yang’s result [5], in which, the existence is obtained when the space dimension \({N \ge 5}\). 相似文献
8.
The \(S_2\) – \(S_p\) minimization over the positive semidefinite cone is the semidefinite least squares problem with Schatten \(p\) -quasi ( \(0 ) norm regularization term. It has wide applications in many areas including compressed sensing, control, statistics, signal and image processing, etc. In this paper, by developing the symmetric matrix \(\mathrm {p}\) -thresholding operator representation theory, we establish the necessary condition for global optimal solutions of \(S_2\) – \(S_p\) minimization, and also provide the exact lower bound for the positive eigenvalues at global optimal solutions. 相似文献
9.
V. G. Safonov 《Algebra and Logic》2010,49(5):470-479
It is proved that the lattice of all τ -closed totally saturated formations of finite groups is
\mathfrakG \mathfrak{G} -separable. 相似文献
10.
Le Maohua 《数学学报(英文版)》1989,5(1):80-86
LetD be a positive integer which is square free, and leth (–D) denote the class number of the imaginary quadratic field 2e (–D). In this paper we prove that ifD' exp exp exp 1000,D=4k –a
2, wherea, k andn are integers witha>0,k>1,n>1, then
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11.
Seiji Nishioka 《Aequationes Mathematicae》2011,81(1-2):121-134
In this paper we prove the transcendence of the solutions of the q-Painlevé equation of type ${A_6^{(1)}}$ . The q-Painlevé equation of type ${A_6^{(1)}}$ is also called d-P II or q-P II and has a continuous limit to the Painlevé equation of type II. Its symmetry is (A 1?+?A 1)(1). 相似文献
12.
Roland Schmidt 《Archiv der Mathematik》2011,96(1):31-37
Let ${2\leq k\in \mathbb{N}}$ . Recently, Costantini and Zacher obtained a lattice-theoretic characterization of the classes ${\mathfrak{N}^k}$ of finite soluble groups with nilpotent length at most k. It is the aim of this paper to give a lattice-theoretic characterization of the classes ${\mathfrak{N}^{k-1}\mathfrak{A}}$ of finite groups with commutator subgroup in ${\mathfrak{N}^{k-1}}$ ; in addition, our method also yields a new characterization of the classes ${\mathfrak{N}^k}$ . The main idea of our approach is to use two well-known theorems of Gaschütz on the Frattini and Fitting subgroups of finite groups. 相似文献
13.
For a wide class of Cohen–Macaulay modules over the local ring of the plane curve singularity of type \(T_{44}\), we explicitly describe the corresponding matrix factorizations. The calculations are based on the technique of matrix problems, in particular, representations of bunches of chains. 相似文献
14.
Ukrainian Mathematical Journal - We establish order estimates for the entropy numbers of the classes $$ {B}_{p,\theta}^{\varOmega } $$ of periodic multivariable functions in the uniform metric. For... 相似文献
15.
The asymptotic behavior of open plane sections of triply periodic surfaces is dictated, for an open dense set of plane directions,
by an integer second homology class of the three-torus. The dependence of this homology class on the direction can have a
rather rich structure, leading in special cases to a fractal. In this paper we present in detail the results for the skew
polyhedron {4, 6 | 4} and in particular we show that in this case a fractal arises and that such a fractal can be generated
through an elementary algorithm, which in turn allows us to verify for this case a conjecture of Novikov that such fractals
have zero measure.
相似文献
16.
In one complex variable, the existence of a compactly supported solution to the Cauchy–Riemann equation is related to the vanishing of certain integrals of the data; trying to generalize this approach, we find an explicit construction, via convolution, for a compactly supported solution in \(\mathbb C ^n\) , which allows us to estimate the \(L^p\) norm of the solution. We also investigate the possible generalizations of this method to domains of the form \(P\setminus Z\) , where \(P\) is a polydisc and \(Z\) is the zero locus of some holomorphic function. 相似文献
17.
The present paper deals with the gracefulness of unconnected graph
$(jC_{4n}) ∪ P_m$, and proves the following result: for positive integers $n$, $j$ and $m$ with $n ≥ 1$, $j ≥ 2$, the unconnected graph $(jC_{4n}) ∪ P_m$ is a graceful graph for $m = j − 1$ or $m ≥ n + j$, where $C_{4n}$ is a cycle with $4n$ vertexes, $P_m$ is a path with $m + 1$ vertexes, and $(jC_{4n}) ∪ P_m$ denotes the disjoint union of $j − C_{4n}$ and $P_m$. 相似文献
18.
Abdallah Talhaoui 《Rendiconti del Circolo Matematico di Palermo》2014,63(2):181-192
We study the local exactness of the \(\overline{\partial }\) operator in the Hilbert space \(l^2\) for a particular class of \((0,1)\) -forms \(\omega \) of the type \(\omega (z) = \sum _i z_i\omega ^i(z) d\overline{z}_i\) , \(z = (z_i)\) in \(l^2\) . We suppose each function \(\omega ^i\) of class \(C^\infty \) in the closed unit ball of \(l^2\) , of the form \(\omega ^i(z) = \sum _k \omega ^i_k\left( z^k\right) \) , where \(\mathbf N = \bigcup I_k\) is a partition of \(\mathbf N\) , \((\) card \(I_k < +\infty )\) and \(z^k\) is the projection of \(z\) on \(\mathbf C^{I_k}\) . We establish sufficient conditions for exactness of \(\omega \) related to the expansion in Fourier series of the functions \(\omega ^i_k\) . 相似文献
19.
Li-feng XI~ 《中国科学A辑(英文版)》2007,50(11):1537-1551
This paper investigates the Lipschitz equivalence of generalized {1,3,5}-{1,4,5} self-similar sets D=(r_1D)∪(r_2D (1 r_1-r_2-r_3)/2)∪(r_3D 1 r_3) and E=(r_1E)∪(r_2E 1-r_2- r_3)∪(r_3E 1-r_3),and proves that D and E are Lipschitz equivalent if and only if there are positive integers m and n such that r_1~m=r_3~n. 相似文献
20.
The Aronszajn–Donoghue Theory for Rank One Perturbations of the
$$\mathcal{H}_{-2} {\text{-Class}}$$
A singular rank one perturbation
of a self-adjoint operator A in a Hilbert space
is considered, where
and
but
with
the usual A–scale of Hilbert spaces. A modified version of the Aronszajn-Krein formula is given. It has the form
where F denotes the regularized Borel transform of the scalar spectral measure of A associated with . Using this formula we develop a variant of the well known Aronszajn–Donoghue spectral theory for a general rank one perturbation of the
class.Submitted: March 14, 2002 Revised: December 15, 2002 相似文献
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