Results 81 to 90 of about 13,428,920 (391)
Fundamental relations between the Dirichlet beta function, euler numbers, and Riemann zeta function for positive integers [PDF]
, 2012 A new definition for the Dirichlet beta function for positive integer arguments is discovered and presented for the first time. This redefinition of the Dirichlet beta function, based on the polygamma function for some special values, provides a general ...
Idowu, Michael A.
core
Approximation algorithms for the normalizing constant of Gibbs distributions
, 2015 Consider a family of distributions $\{\pi_{\beta}\}$ where $X\sim\pi_{\beta}$ means that $\mathbb{P}(X=x)=\exp(-\beta H(x))/Z(\beta)$. Here $Z(\beta)$ is the proper normalizing constant, equal to $\sum_x\exp(-\beta H(x))$. Then $\{\pi_{\beta}\}$ is known
Huber, Mark
core +1 more source
On bound state computations in three- and four-electron atomic systems [PDF]
, 2010 A variational approach is developed for bound state calculations in three- and four-electron atomic systems. This approach can be applied to determine, in principle, an arbitrary bound state in three- and four-electron ions and atoms. Our variational wave functions are constructed from four- and five-body gaussoids which depend upon the six ($r_{12 ...
arxiv +1 more source
The dual nature of TDC – bridging dendritic and T cells in immunity
FEBS Letters, EarlyView.TDC are hematopoietic cells combining dendritic and T cell features. They reach secondary lymphoid organs (SLOs) and peripheral organs (liver and lungs) after FLT3‐dependent development in the bone marrow and maturation in the thymus. TDC are activated and enriched in SLOs upon viral infection, suggesting that they might play unique immune roles, since
Maria Nelli, Mirela Kuka
wiley +1 more source
$N=1$ supersymmetry and the three loop gauge beta function
, 1996 We calculate the three loop gauge $\beta$-function for an abelian $N=1$ supersymmetric gauge theory, using DRED. We construct a coupling constant redefinition that relates the result to the corresponding term in the NSVZ $\beta$-function, and by ...
Jack, I., Jones, D. R. T., North, C. G.
core +1 more source
The orbit of a $β$-transformation cannot lie in a small interval [PDF]
Journal of the Korean Mathematical Society 49 (2012), no. 4,
867-879For $\beta>1$, let $T_\beta:[0,1]\rightarrow [0,1)$ be the $\beta$-transformation. We consider an invariant $T_\beta$-orbit closure contained in a closed interval with diameter $1/\beta$, then define a function $\Xi(\alpha,\beta)$ by the supremum of such $T_\beta$-orbit with frequency $\alpha$ in base $\beta$, i.e., the maximum value in the $T_\beta ...
arxiv +1 more source
New integral inequalities involving beta function via $P$-convexity
, 2014 In this note we establish some estimates, involving the Euler Beta function, of the integral R b a .x a/ p.b x/qf .x/dx for functions when a power of the absolute value isP convex. An extension to functions of several variables is also obtained.
Wenjun Liu
semanticscholar +1 more source
FEBS Letters, EarlyView.In vivo IL‐10 produced by tissue‐resident tolDC is involved in maintaining/inducing tolerance. Depending on the agent used for ex vivo tolDC generation, cells acquire common features but prime T cells towards anergy, FOXP3+ Tregs, or Tr1 cells according to the levels of IL‐10 produced. Ex vivo‐induced tolDC were administered to patients to re‐establish/
Konstantina Morali +3 more
wiley +1 more source
Bost-Connes-Marcolli system for the Siegel modular variety [PDF]
arXiv, 2022 We construct a quantum satisitical mechanical system which generalizes the Connes-Marcolli $GL_2$ system. In particular we introduce the Connes-Marcolli system associated to the Siegel modular variety of degree $2$. We classify its $\text{KMS}_\beta$-states for inverse temperatures $\beta >0$ and show that a spontaneous phase transition occurs at ...
arxiv
Beta functions of topologically massive supergravity [PDF]
Journal of High Energy Physics, 2014 We compute the one-loop beta functions of the cosmological constant, Newton's constant and the topological mass in topologically massive supergravity in three dimensions. We use a variant of the proper time method supplemented by a simple choice of cutoff function. We find that the dimensionless coefficient of the Chern-Simons term, $ $, has vanishing
Roberto Percacci +4 more
openaire +3 more sources