King [3] introduced and examined the concepts of almost A-summable sequence, almost conservative matrix and almost regular matrix. In this paper, we introduce and examine the concepts of λ-almost A-summable sequence, λalmost conservative matrix and λ-almost regular matrix. Also we introduce statistically (V, λ)-summable sequence.

We study limit theorems for time-dependent averages of the form Xt:=12L(t)∫−L(t)L(t)u(t,x)dx, as t→∞, where L(t)=exp(λt) and u(t,x) is solution to a stochastic heat equation on ℝ +×ℝ driven by space-time white noise with u0(x)=1 all x∈ℝ. show that Xt weak law large numbers holds when λ>λ1, strong λ>λ2, central theorem λ>λ3, but fails λ<λ4≤λ3, quantitative λ>λ5, λi’s are positive constants depen...

In the paper, we study real forms of complex generic Neumann system. We prove that are completely integrable Hamiltonian systems. The system is an example more general Mumford characterized by Lax pair (Lℂ(λ), Mℂ(λ)) 2 × matrices, where and Uℂ(λ), Vℂ(λ), Wℂ(λ) suitable polynomials. topology a regular level set moment map form determined positions roots with respect to position values parameters...

In this study, we introduce the expression dλ(x,y):=λ∥x∥+(1−λ)∥y∥−∥λx+(1−λ)y∥ on real normed space X(X,∥·∥), where x,y∈X and λ∈R. We characterize find various estimates of it. also obtain a generalization some refinements Maligranda’s inequality. Finally, give relations between dλ(x,y) several types angular distances two nonzero vectors in space.

We look for a parallel to the notion of " proper forcing " among λ-complete forcing notions not collapsing λ +. We suggest such a definition and prove that it is preserved by suitable iterations. This work follows [Sh 587] and [Sh 667] (and see history there), but we do not rely on those papers. Our goal in this and the previous papers is to develop a theory parallel to " properness in CS itera...

This article continues Ros lanowski and Shelah [8, 9, 10, 11, 12] and we introduce here a new property of (<λ)–strategically complete forcing notions which implies that their λ–support iterations do not collapse λ (for a strongly inaccessible cardinal λ).

We present an analysis of the process ψ(3686)→Ω−Ω¯+ (Ω−→K−Λ, Ω¯+→K+Λ¯, Λ→pπ−, Λ¯→p¯π+) based on a dataset 448×106 ψ(3686) decays collected with BESIII detector at BEPCII electron-positron collider. The helicity amplitudes for and decay parameters subsequent Ω−→K−Λ (Ω¯+→K+Λ¯) are measured first time by fit to angular distribution complete chain, spin Ω− is determined be 3/2 since its discovery m...