Results 41 to 50 of about 13,948,536 (305)

Nonperturbative beta function in three-dimensional electrodynamics [PDF]

, 2014
We apply the Schr\"odinger functional method to the Abelian gauge theory in three dimensions with ${N}_{f}=2$ four-component fermions. We find that the calculated beta function does not cross zero in the range of coupling we study.
Ohad Raviv, Y. Shamir, B. Svetitsky
semanticscholar   +1 more source

Evaluation of the real parts of polylogarithm expressions containing complex arguments via certain logarithmic integrals [PDF]

Notes on Number Theory and Discrete Mathematics
We consider a polylogarithm expression containing complex arguments, namely 𝓟±(n)=ℜ(Liₙ((1±i)/2)). The central notion of the present paper is to evaluate the real parts of 𝓟±(n) for first four orders, specifically n = 1,2,3, and 4, by constructing ...
Narendra Bhandari
doaj   +1 more source

Triglyceride is independently correlated with insulin resistance and islet beta cell function: a study in population with different glucose and lipid metabolism states

Lipids in Health and Disease, 2020
Background Previous studies on the effects of lipotoxicity and oxidative stress on islet beta cell function mainly focused on patients with diabetes, whereas studies on normal glucose tolerance (NGT) are few.
Minglei Ma, Haibin Liu, Jie Yu, Shuli He, Ping-ping Li, Chunxiao Ma, Huabing Zhang, Lingling Xu, F. Ping, Wei Li, Qi Sun, Yuxiu Li   +11 more
semanticscholar   +1 more source

Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications

Ingeniería y Ciencia, 2016
In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of ...
Daya K. Nagar, Sergio Alexander Gómez-Noguera, Arjun K Gupta   +2 more
doaj   +1 more source

Further results on the beta function and the incomplete beta function

Applied Mathematical Sciences, 2013
Fatma Al-Sirehy, Brian Fisher
openaire   +2 more sources

Alpha cell regulation of beta cell function

Diabetologia, 2020
The islet of Langerhans is a complex endocrine micro-organ consisting of a multitude of endocrine and non-endocrine cell types. The two most abundant and prominent endocrine cell types, the beta and the alpha cells, are essential for the maintenance of ...
T. Moede, I. Leibiger, P. Berggren
semanticscholar   +1 more source

Integral Representations of the Catalan Numbers and Their Applications

Mathematics, 2017
In the paper, the authors survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of several integral representations ...
Feng Qi, Bai-Ni Guo
doaj   +1 more source

Explicit Expressions for Most Common Entropies

Entropy, 2023
Entropies are useful measures of variation. However, explicit expressions for entropies available in the literature are limited. In this paper, we provide a comprehensive collection of explicit expressions for four of the most common entropies for over ...
Saralees Nadarajah, Malick Kebe
doaj   +1 more source

Beta-functions and superstring compactifications

Physics Letters B, 1986
It is shown that quartic curvature modifications to the gravitational effective action derived from superstrings agree on Ricci-flat Kahler backgrounds with a recently-proposed four-loop counterterm in N = 2 Ricci-flat σ-models. These results seem to suggest that Calabi-Yau manifolds may not provide consistent compactifications of the superstring.
M.D. FREEMAN, C.N. POPE
openaire   +1 more source

The incomplete beta function and its ratio to the complete beta function [PDF]

Mathematics of Computation, 1968
The incomplete beta function, B x ( p , q ) = ∫ 0 x y p − 1 ( 1
Osborn, D., Madey, R.
openaire   +2 more sources