Results 1 to 10 of about 691,029 (25)

Effective forces in colloidal mixtures: from depletion attraction to accumulation repulsion [PDF]

Phys. Rev. E 65, 061407 (2002), 2001
Computer simulations and theory are used to systematically investigate how the effective force between two big colloidal spheres in a sea of small spheres depends on the basic (big-small and small-small) interactions. The latter are modeled as hard-core pair potentials with a Yukawa tail which can be both repulsive or attractive.
arxiv   +1 more source

Non-Archimedean second main theorem sharing small functions [PDF]

arXiv, 2021
In this paper, we establish a new second main theorem for meromorphic functions on a non-Archimedean field and small functions with counting functions truncated to level $1.$ As an application, we show that two meromorphic functions on a non-Archimedean field must coincide to each other if they share $q\, (q\geq 5)$ distinct small functions ignoring ...
arxiv  

Small antimicrobial resistance proteins (SARPs): Small proteins conferring antimicrobial resistance [PDF]

arXiv, 2023
Small open reading frames are understudied as they have been historically excluded from genome annotations. However, evidence for the functional significance of small proteins in various cellular processes accumulates. Proteins with less than 70 residues can also confer resistance to antimicrobial compounds, including intracellularly-acting protein ...
arxiv  

Second main theorem and uniqueness problem of meromorphic functions with finite growth index sharing five small functions on a complex disc [PDF]

arXiv, 2022
This paper has twofold. The first is to establish a second main theorem for meromorphic functions on the complex disc $\Delta (R_0)\subset\mathbb C$ with finite growth index and small functions, where the counting functions are truncated to level $1$ and the small term is more detailed estimated.
arxiv  

Small generators of function fields [PDF]

J. Theor. Nombres Bordeaux 22, (2010), no. 3, 544-551, 2012
Let $K/k$ be a finite extension of a global field. Such an extension can be generated over $k$ by a single element. The aim of this article is to prove the existence of a "small" generator in the function field case. This answers the function field version of a question of Ruppert on small generators of number fields.
arxiv   +1 more source

A non-existence result due to small perturbations in an eigenvalue problem [PDF]

arXiv, 2021
We consider a well-posed eigenvalue problem on $(a,0)$, depending on a continuous function $m$. The boundary conditions in the points $a,0$ are depending on the eigenvalues. We divide $(a,0)$ into small intervals and approximate the function $m$ by a simple (step) function $m_S$, constant on each small interval. The eigenfunctions corresponding to $m_S$
arxiv  

Jensen's Inequality for g-Convex Function under g-Expectation [PDF]

arXiv, 2008
A real valued function defined on}$\mathbb{R}$ {\small is called}$g${\small --convex if it satisfies the following \textquotedblleft generalized Jensen's inequality\textquotedblright under a given}$g${\small -expectation, i.e., }$h(\mathbb{E}^{g}[X])\leq \mathbb{E}% ^{g}[h(X)]${\small, for all random variables}$X$ {\small such that both sides of the ...
arxiv  

Small cap square function estimates [PDF]

arXiv, 2023
We introduce small cap square function estimates for parabola and cone, and prove the sharp estimates. More precisely, we study the inequalities of form \[ \|f\|_p\le C_{\alpha,p}(R) \Big\|(\sum_{\gamma\in\Gamma_\alpha(R^{-1})}|f_\gamma|^2)^{1/2}\Big\|_p, \] where $\Gamma_\alpha(R^{-1})$ is the set of small caps of width $R^{-\alpha}$.
arxiv  

Walks with Small Steps in the 4D-Orthant [PDF]

arXiv, 2020
We provide some first experimental data about generating functions of restricted lattice walks with small steps in NN^4.
arxiv