Abstract We give sufficient conditions under which for a sequences of nonnegative weakly convergent random variables when their (2+δ)th moments are finite andα＞0.It generalizes Kaluszka and Okolewski's results~() and gives complete proofs for their Theorem 3 and Theorem 4.
This paper provides a condition,under which s~(m-p)_Ⅳ designs contain the maximum number of clear 2FI components,by considering the number of not clear 2FI components in the designs,where s is any prime or prime power.
Problem 3. Characterize the spaces (X, τ) such that (X, τ_θ) is T_2. In θ -complex, we give the answer to Problem 1 and Problem 2 in the positive, and also show a sufficient and necessary condition under which (X,τ_θ) is T_2.In Section 1 introduction and preliminaries are presented.
As a consequence, the action is linearizable if certain topological conditions are satisfied.
An algebraicG-varietyX is called "wonderful", if the following conditions are satisfied:X is (connected) smooth and complete;X containsr irreducible smoothG-invariant divisors having a non void transversal intersection;G has 2r orbits inX.
Here we provide certain conditions (more general than those in [Ka1]) which guarantee preservation of the topology under a modification.
We express the vanishing conditions satisfied by the correlation functions of Drinfeld currents of quantum affine algebras, imposed by the quantum Serre relations.
We discuss the relation of these vanishing conditions with a shuffle algebra description of the algebra of Drinfeld currents.
We also prove the shifted cocycle condition for the twistors, thereby completing Fr?nsdal's findings.
It is known [M4] that K?-orbits S and G?-orbits S' on a complex flag manifold are in one-to-one correspondence by the condition that S ∩ S' is nonempty and compact.
We give a simple necessary and sufficient condition for a Schubert
It is also shown that on the nilmanifold $\Gamma\backslash (H^3\times H^3)$ the balanced condition is not stable under small deformations.
A necessary and sufficient geometric condition on the growth of the boundary of approximate tiles is reduced to a problem in Fourier analysis that is shown to have an elegant simple solution in dimension one.
In this article we find additional conditions under which the deconvolution problem for multiple characteristic functions is solvable.
In this paper, we use geometric characteristics to give necessary and sufficient conditions under which a PQSΓ with three non-degenerate singular points can be transformed into two different definite forms.
As an application, the sufficient conditions under which there are arbitrary odd solutions for the BVP are obtained.
Some sufficient conditions under which every solution is either periodic or convergent are obtained.
The conditions under which models of different levels of complexity provide a satisfactory description of the antigen-antibody interaction were determined.
For any closed subspace V0/L2 (R), we present a necessary and sufficient condition under which there is a sampling expansion for everyf ε V0-Several examples are given.
Meisters and Peterson gave an equivalent condition under which the multisensor deconvolution problem has a solution when there are two convolvers, each the characteristic function of an interval.
The magnitude of this flow circulation is determined from the condition under which the flow leaves the trailing edge of the body (the analog of the Chaplygin-Zhukovskii postulate in potential flow).
In this work we will establish a sufficient condition under which the higher derivatives of 2Π-periodic absolutely continuous functions belong to the Orlicz classes? (L); if?(2t)=O(?(t)) (t → ∞), the condition is also necessary.
In particular, a condition under which the property of uniform absence of the escaping load (UAEL) is preserved under the extension of a set function from a ring R to an extending ring S ? R is established.