In the present paper, we study analyticity of leftmost eigenvalue linear elliptic partial differential operators with random coefficient and analyse convergence rate quasi-Monte Carlo method for approximation expectation this quantity. The is assumed to be represented by an affine expansion a0(x)+∑j∈Nyjaj(x), where elements parameter vector y=(yj)j∈N∈U∞ are independent identically uniformly dis...

• Threshold: λ1 = 24-multiple and λ2 = 35-multiple of average monthly wage valid 2 years before the year of submission. • In 2014: λ1 = 19,320 €/QALY, λ2 = 28,175 €/QALY. • Drugs with ICER between λ1 and λ2 or a prevalence below 1:100,000 are reimbursed conditionally, with claw-back. • Drugs with ICER above λ2 cannot be included in the Reimbursement list and can be reimbursed only at the exempt...

The Tracy–Widom distributions are among the most famous laws in probability theory, partly due to their connection with Wigner matrices. In particular, for A=1n(aij)1≤i,j≤n∈Rn×n symmetric (aij)1≤i≤j≤n i.i.d. standard normal, fluctuations of its largest eigenvalue λ1(A) asymptotically described by a real-valued distribution TW1:n2/3(λ1(A)−2)⇒TW1. As it often happens, Gaussianity can be relaxed, ...

•Numerous SARS-CoV-2 proteins synergize to suppress immune sensing and signaling•Nsp14 targets IFNAR1 for lysosomal degradation•ORF3a ORF7a block autophagy by different mechanisms•Synergistic treatment with IFN-γ -λ1 is highly effective against Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) evades most innate responses but may still be vulnerable some. Here, we systematically anal...

The spectral radius of connected non-regular graphs is considered. Let λ1 be the largest eigenvalue of the adjacency matrix of a graph G on n vertices with maximum degree ∆. By studying the λ1-extremal graphs, it is proved that if G is non-regular and connected, then ∆− λ1 > ∆+ 1 n(3n+∆− 8) . This improves the recent results by B.L. Liu et al. AMS subject classifications. 05C50, 15A48.

Ω 7−→ λ1(Ω) , under the volume constraint Vol(Ω) = α (where α ∈ (0,Vol(M)) is fixed) are called extremal domains. Smooth extremal domains are characterized by the property that the eigenfunctions associated to the first eigenvalue of the Laplace-Beltrami operator have constant Neumann boundary data [2]. In other words, a smooth domain is extremal if and only if there exists a positive function ...

Upper and lower bounds are obtained for the spread λ1 − λn of the eigenvalues λ1 λ2 · · · λn of the adjacency matrix of a simple graph. © 2001 Elsevier Science Inc. All rights reserved. AMS classification: 05C50; 15A42; 15A36

BACKGROUND Prothymosin α (ProTα) (isoform 2: iso2) is a widely distributed, small acidic protein with intracellular and extracellular-associated functions. Recently, we identified two new ProTα variants with potent anti-HIV activity from CD8+ T cells and cervicovaginal lavage. The first is a splice variant of the ProTα gene known as isoB and the second is the product of ProTα pseudogene 7 (p7)....