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1.
L不可分解极小L矩阵 总被引:1,自引:0,他引:1
本文利用向量的扩充概念,给出了一个符号模式L不可分解极小L矩阵的若干必要条件和充分条件及一种构造方法,进而得到了这类矩阵的一个组合刻画,同时对这类知阵中非零元个数的最大值进行了研究。 相似文献
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Ohne Zusammenfassung 相似文献
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г. М. кОБЕлькОВ 《Analysis Mathematica》1977,3(3):177-186
Denote byH(Ω) the subspace of functionsp fromL 2(Ω) for which \(\mathop \smallint \limits_\Omega p dx = 0\) , and define the norm inH(Ω) as follows It is proved that this norm is equivalent to the norm ofL 2(Ω) assuming that the boundary ofΩ is piecewise Lipschitzian. As a consequence it is derived that for linear elasticity problems the stresses are uniformly bounded inL 2 with respect to the Poisson constant. 相似文献
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L-fuzzyRingandL-fuzzyModuleL-fuzzyRingandL-fuzzyModule¥SunRongguangJiangBaoqing(HumanUniversity,Kaifeng,475001)RenXuejun(Minq... 相似文献
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А. М. Седлецкий 《Analysis Mathematica》1982,8(3):215-232
Let the rootsλ n of an entire functionL(z) be separated and lie in some horizontal strip ¦Im z¦ ≦h, and suppose that $$0< c \leqq |L(z)|(1 + |z|)^{ - b} \exp ( - a|\operatorname{Im} z|) \leqq C< \infty$$ for ¦Imz¦≧H>h. If 1<p<2 and - 1/pq (1/q+1/p=1), then the system {exp (iλ n x)} n=0 ∞ constitutes a basis нn the spaceL p (-a,a). In the caseb=1/q orb=?1/p the theorem fails, Equivalence of the following two statements is also proved:
- {exp (iλ n x)} n=0 ∞ is an extendable convergence system inL p from the interval (-a, a).
- {exp (iλ n x)} n=0 ∞ is a continuable basis inL p (-a,a).
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С. А. Пичугов 《Analysis Mathematica》1991,17(1):21-33
LetA and be two arbitrary sets in the real spaceL
p, 1p<. Sufficient conditions are obtained for their strict separability by a hyperplane, in terms of the distance between the setsd(A,B)
p=inf{x-yp,xA,yB} and their diametersd(A)
p, d(B)p, whered(A)
p=sup{x-yp; x,yA}. In particular, it is proved that if in an infinite-demensional spaceL
p we haved
r(A,B)p>2–r+1(dr(A)p+dr(B)p), r=min{p, p(p–1)–1}, then there is a hyperplane which separatesA andB. On the other hand, the conditiond
r(A,B)p=2–r+1(dr(A)p+dr(B)p) does not guarantee strict separability. Earlier these results where obtained by V. L. Dol'nikov for the case of Euclidean spaces. 相似文献
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Н. Б. Погосян 《Analysis Mathematica》1984,10(3):233-239
The existence of a function is proved which is integrable and belongs to the class
L (ln+
L)
e
together with its conjugate, and is such that the trigonometric Fourier series of each of these two functions diverges in theL
1-norm for every order of the terms. 相似文献
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Exact inequalities of Jackson-Stechkin type have been obtained for the average moduli of continuity of mth order (m ?? ?) with the weight function. The exact values of any n-widths were calculated for the function classes, which are defined by the majorant and the indicated average magnitudes. 相似文献
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关于L内射覆盖 总被引:2,自引:0,他引:2
We use the class of L-injective modules to define L-injective covers, and provide the characterizations of L-injective covers by the properties of kernels of homomorphisms. We prove that the right L-noetherian right L-hereditary ring is just such that every right R-module has an L-injective cover which is monic. We also use kernels of homomorphisms to investigate L-simple L-injective covers and give some constructions of L-simple L-injective covers. 相似文献
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引入了一类广义的L模糊Quantale,即(∈,∈∨q)-L模糊Quantale的定义,研究了其性质,利用它对经典子Quantale进行了等价刻画,证明了它的其中一种特殊情形就是L模糊Quantale。 相似文献
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A parametric family of n-dimensional extreme-value copulas of Marshall–Olkin type is introduced. Members of this class arise as survival copulas in Lévy-frailty models. The underlying probabilistic construction introduces dependence to initially independent exponential random variables by means of first-passage times of a Lévy subordinator. Jumps of the subordinator correspond to a singular component of the copula. Additionally, a characterization of completely monotone sequences via the introduced family of copulas is derived. An alternative characterization is given by Hausdorff’s moment problem in terms of random variables with compact support. The resulting correspondence between random variables, Lévy subordinators, and copulas is studied and illustrated with several examples. Finally, it is used to provide a general methodology for sampling the copula in many cases. The new class is shown to share some properties with Archimedean copulas regarding construction and analytical form. Finally, the parametric form allows us to compute different measures of dependence and the Pickands representation. 相似文献
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Tom Lada 《Applied Categorical Structures》2004,12(1):29-34
It is shown that the direct sum of an L
algebra and a module over it has a natural L
algebra structure. 相似文献
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L 形覆盖问题是重要的组合数学问题.本文给出了3-L 形覆盖、4-L 形覆盖存在的充要条件,解决了这两种 L 形覆盖的问题. 相似文献