共查询到20条相似文献,搜索用时 31 毫秒
1.
Luca Chiantini 《manuscripta mathematica》1981,36(2):125-145
We look for conditions which make two ideals and in a noetherian ring A have the same form ideal in an associated graded ring GA(α). More precisely, when and and fi?f'iεα m m?0, ? i , we give a necessary and sufficient condition to have , involving the first syzygies modules both of (f1,...,fn) and (f'1,...,f'n); our proof is based on the Artin-Rees lemma. Finally we show that, when the sequence f1,...,fn is regular and for an integer q, then f1?f'i ? αq+1 ? i implies . 相似文献
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Ya. Yu. Nikitin 《Journal of Mathematical Sciences》1983,21(1):93-99
Consider independent samples of sizen 1,n 2,... ,n 2 and the empirical distribtion constructed using these samples. We test the hypothesis that all the samples are drawn from a population with the same continuous distribution function F (x). The test statistic is the weight function) is defined as generalizes Kiefer's well-known statistic originally proposed for the case K=2 and q,= 1. A rough asymptotics is obtained for the probability of large deviations of the statistic , which allows to give explicit expressions for the Bahadur local exact slopes and to compare the statistics for various K and q in the sense of Bahadur efficiency. In conclusion, the question posed by Renyi is considered: to what extent is it advisable to use statistics of the type instead of pooling all the samples and using a one-sample test? 相似文献
4.
V. A. Rodin 《Analysis Mathematica》1990,16(4):291-302
пУстьS k (f,x) — ЧАстНАь сУ ММА РьДА ФУРьЕ ФУНкцИ Иf пО тРИгОНОМЕтРИЧЕскОИ сИстЕМЕ,s k (f,x) — ЧАстНАь сУММА сО пРьжЕННОгО РьДА. Дль \(\Delta _k^n = \left[ {\frac{n}{n},\frac{{k + 1}}{n}} \right)\) , гДЕk=0, 1, ...,n?1, пОлОжИМ , ЕслИt?δ k n И , ЕслИt?[0, 1)δ k n . пОкАжАНО, ЧтО ОпЕРАтО Ры ИМЕУт слАБыИ тИп (1,1). РАссМОтР ЕН РьД слЕДстВИИ О пОВ ЕДЕНИИ сИльНых сРЕДНИх РьДА ФУРьЕ сУММИРУЕМОИ ФУНкцИИ. 相似文献
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A. P. Oskolkov 《Journal of Mathematical Sciences》1983,23(4):2447-2453
The solvability in-the-large is proved of the initial-boundary-value problem for the stationary quasilinear system describing the flow of a linear viscoelastic fluid with a finite number of discretely distributed relaxation times and with delay times {? 0 ?4 ? m }, m=1, ..., L?1 (generalized Maxwell fluid). 相似文献
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V. G. Maz'ya 《Journal of Mathematical Sciences》1983,22(6):1851-1855
By definition, the domain Ω ??n belongs to the class EW p l if there exists a continuous linear extension operator . An example is given of a domain Ω ??2 with compact closure and Jordan boundary, having the following properties: (1) The curve ?Ω is not a quasicircle, has finite length and is Lipschitz in a neighborhood of any of its points except one. (2) Ω ε EW p 1 for p<2. and Ω ? EW p 1 for p?2. (3) for p>2 and for p?2. 相似文献
10.
Moshe Jarden 《Israel Journal of Mathematics》1974,18(3):279-307
We consider here a hilbertian fieldk and its Galois group (k s/k). For a natural numbere we prove that almost all (σ) ∈ (ks/k)e have the following properties. (1) The closedsubgroup 〈σ〉 which is generated by σ1, …, σe is a free pro-finite group withe generators. (2) LetK be a proper subfield of the fixed fieldk s (σ) of 〈σ〉, …, σe ink s, which containsk. Then the group (k s/K) cannot be topologically generated by less thene+1 elements. (3) There does not exist a τ ∈ (k/k), τ≠1, of finite order such that [k s (σ):k s (σ, τ)]<∞. (4) Ife=1, there does not exist a fieldk?K?k s (σ) such that 1<[k s (σ):K]<∞. Here “almost all” is used in the sense of the Haar measure of the compact group (ks/k)e. 相似文献
11.
Wolfgang Nolte 《Journal of Geometry》1974,4(1):53-90
This paper presents a system of axioms for n-dimensional metric geometry. For every group satisfying the axioms there exist a group-space and an embedding of into a projective-metric space Ω. We construct an isomorphism of onto a subgroup of a special orthogonal group O n+1 * (K,f). This group belongs to a metric vector space (V,f) over a field K of characteristic ≠ 2 where dim rad V≦1. The (full) groups o n+1 * (K,f) are models of the system of axioms. 相似文献
12.
Richard W. Cottle 《Mathematical Programming》1980,19(1):347-351
A matrix is a real square matrixM such that for everyq the linear complementarity problem: Findw andz satisfyingw = q + Mz, w ≥ 0, z ≥ 0, w T z = 0, has a solution. We characterize the class of completely- matrices, defined here as the class of -matrices all of whose nonempty principal submatrices are also -matrices. 相似文献
13.
V. B. Nevzorov 《Journal of Mathematical Sciences》1983,23(3):2286-2290
Let X1, X2, ... be a sequence of independent identically distributed random variables with zero mathematical expectation and finite variances. So=0 and Sn=∑ i=1 n Xi. It is proved that is the limit distribution function of the normalized random variable a(k, n)} for some sequence of centering constants a (k,n). 相似文献
14.
K. B. Bakiev 《Journal of Mathematical Sciences》1983,23(2):2107-2114
One obtains the following transfer theorem, related to Minkowski's nonhomogeneous conjecture. Let Λ ? ?n be a point lattice, det Λ=1. We consider the nonhomogeneous Π(Λ) and the homogeneous L(Λ)=бn. б ? 0, arithmetical minima of the lattice Λ. Then for sufficiently largen, if , then . 相似文献
15.
N. G. Sidorenko 《Journal of Mathematical Sciences》1983,22(6):1856-1860
It is explained when the classes of p-absolutely summing and p-integral operators given on the space coincide. For a Banach space there is considered the following subset of the real line: . In the case when is an infinite-dimensional subspace of the space , it is proved that JX=(1,2] if , and JX?{2} if and χ is not isomorphic with a Hilbert space. 相似文献
16.
In an earlier paper [1] the notion of the so-called 〈?, GLJ>-absolutely monotonie functions was introduced, where ?≧1, {λk k=0 ∞ is an arbitrary non-increasing sequence of positive numbers. It was found that the condition \(\sum\limits_{\lambda _{k > 0} } {\lambda _k^{ - 1} } = + \infty \) is necessary in order to have the series expansion for any function f(x)∈〈?, λj). HereL k/? f/(x) are special integro-differential operators of fractional order, is a system of functions associated with the Mittag-Leffler type functions \(E_\varrho (z;\mu ) = \sum\limits_{k = 0}^\infty {z^n /\Gamma (\mu + \kappa /\varrho )} \) and with the sequence {λk}. In the present paper it is proved (in particular, see Theorem 3.2) that the expansion (*) is valid almost everywhere on (0,l) if ∑ λ k ?1 =+∞. This result contains, as a special case (when ?=1 and λk=0,k≧0) the known theorem of S. N. Bernstein on absolutely monotonic functions. 相似文献
17.
F. Schipp 《Analysis Mathematica》1976,2(1):49-64
Изучается поточечна я сходимость операто ров \(\sum\limits_{n = 1}^\infty {T_n } \) Тn, где оператор связан с операторомЕ n условного математического ожи дания относительно некоторой σ-алгебры $$T_n \circ (E_n - E_{n - 1} ) = (E_n - E_{n - 1} ) \circ T_n = T_n .$$ соотношениемno(Еn?Еn?1)=(Еn?Еn?1)oТn=Тn. Доказано, что огранич енностьТ n влечет пот очечную сходимость ряда \(\sum\limits_{n = 1}^\infty {T_n } \) По лученные результаты находят п рименения в исследов ании сходимости в метрикеL p рядов по системам произвoдени й некоторых систем. В ч астности, доказано, чтокаждый ряд Фурье по ортогональной сис теме Виленкина сходи тся в метрикеL p для 1<р<∞. 相似文献
18.
We shall prove the following partition theorems:
- For every setS and for each cardinal ? ≥ ω, |S| ≥ ? there exists a partitionT: [S]? → 2? such that for every pairwise disjoint familie and everyα < 2? there exists a set
- Suppose ? ≥ ω, 2 andS an arbitrary set, 2|S| ≤ (2?)+ω Then there exists a partitionT: P(S) → 2? such that for every pairwise disjoint family and everyα < 2? there exists a set Both theorems will give partial answers to an Erd?s problem.
19.
A. L. Varfolomeev 《Journal of Mathematical Sciences》1983,22(6):1709-1718
Let be a positive number. A function f analytic in an open set ? ?? is called -analytic on the set E, E ??, if . THEOREM. Let K be a compact connected subset of the plane. For any >0 there exists an open neighborhood V of the set K such that any function -analytic on K coincides in some neighborhood of the set K with a function analytic in V. This theorem answers a question posed in the collection (RZhMat., 1979, 3B536, pp. 33–35 of the book). 相似文献
20.
Jon Lee 《Mathematical Programming》1990,47(1-3):441-459
Thespectrum spec( ) of a convex polytope is defined as the ordered (non-increasing) list of squared singular values of [A|1], where the rows ofA are the extreme points of . The number of non-zeros in spec( ) exceeds the dimension of by one. Hence, the dimension of a polytope can be established by determining its spectrum. Indeed, this provides a new method for establishing the dimension of a polytope, as the spectrum of a polytope can be established without appealing to a direct proof of its dimension. The spectrum is determined for the four families of polytopes defined as the convex hulls of:
- The edge-incidence vectors of cutsets induced by balanced bipartitions of the vertices in the complete undirected graph on 2q vertices (see Section 6).
- The edge-incidence vectors of Hamiltonian tours in the complete undirected graph onn vertices (see Section 6).
- The arc-incidence vectors of directed Hamiltonian tours in the complete directed graph ofn nodes (see Section 7).
- The edge-incidence vectors of perfect matchings in the complete 3-uniform hypergraph on 3q vertices (see Section 8).