Results 1 to 10 of about 410,390 (177)
Open Mathematics, 2023 In this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of ...
Li Yan-Fang, Qi Feng
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Mathematics, 2023 In the paper, by virtue of a derivative formula for the ratio of two differentiable functions and with the help of a monotonicity rule, the authors expand a logarithmic expression involving the sine function into the Maclaurin power series in terms of ...
Xin-Le Liu, Hai-Xia Long, Feng Qi
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Transcriptome Sequencing Reveals Distinct Stress Response of Listeria monocytogenes 6179 During Logarithmic and Stationary Growth Phases [PDF]
MicrobiologyOpenListeria monocytogenes is a food‐borne pathogen that continues to threaten food safety by persisting in food production environments (FPEs). Its tolerance to stressors introduced in FPEs is well characterized; however, the effect of the growth phase on ...
Jessica L. Strathman‐Runyan +2 more
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An Analytical Expression for the Non-Singlet Structure Functions at Small $x$ in the Double Logarithmic Approximation [PDF]
Physical Review D, 2004 A simple analytic expression for the non-singlet structure function $f_{NS}$ is given. The expression is derived from the result of Ref. [1] obtained by low $x$ resummation of the quark ladder diagrams in the double logarithmic approximation of ...
A.L. Kataev +9 more
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Decreasing property of ratio of two logarithmic expressions involving tangent function
Mathematical and Computer Modelling of Dynamical SystemsIn this article, the authors review three proofs of the decreasing property of the ratio of two logarithmic expressions. With the help of the monotonicity rule for the ratio of two differentiable functions, the authors provide an alternative proof of the
Feng Qi +2 more
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Entanglement entropy in integrable field theories with line defects II. Non-topological defect
Journal of High Energy Physics, 2017 This is the second part of two papers where we study the effect of integrable line defects on bipartite entanglement entropy in integrable field theories. In this paper, we consider non-topological line defects in Ising field theory.
Yunfeng Jiang
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Evaluation of the real parts of polylogarithm expressions containing complex arguments via certain logarithmic integrals [PDF]
Notes on Number Theory and Discrete MathematicsWe 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
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Derivation of Logarithmic and Logarithmic Hyperbolic Tangent Integrals Expressed in Terms of Special Functions [PDF]
Mathematics, 2020 The derivation of integrals in the table of Gradshteyn and Ryzhik in terms of closed form solutions is always of interest. We evaluate several of these definite integrals of the form ∫ 0 ∞ log ( 1 ± e − α y ) R ( k , a , y ) d y in terms of a special function, where R ( k , a , y ) is a general function and k, a and α ...
Robert Reynolds, Allan Stauffer
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SciPost Physics, 2022 We discuss integrable aspects of the logarithmic contribution of the partition function of cosmological critical topologically massive gravity. On one hand, written in terms of Bell polynomials which describe the statistics of set partitions, the ...
Yannick Mvondo-She
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Odd Exponential-Logarithmic Family of Distributions: Features and Modeling
Mathematical and Computational Applications, 2022 This paper introduces a general family of continuous distributions, based on the exponential-logarithmic distribution and the odd transformation. It is called the “odd exponential logarithmic family”.
Christophe Chesneau +3 more
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