Results 41 to 50 of about 321,635 (291)
Some remarks on transportation cost and related inequalities
, 2004 We discuss transportation cost inequalities for uniform measures on convex bodies, and connections with other geometric and functional inequalities. In particular, we show how transportation inequalities can be applied to the slicing problem, and give a ...
Meckes, Mark W.
core +3 more sources
Inequalities for Cyclic Functions
Journal of Approximation Theory, 2001 The cyclic functions are defined as the cyclic partial sums of the exponential function \[ \varphi_n(z):=\sum_{\nu=0}^\infty {z^{n\nu}\over (n\nu)!} \qquad (z\in {\mathbb C},\;2\leq n\in{\mathbb N}). \] In the special case \(n=2\), \(\varphi_2\) is the classical cosine hyperbolic function.
Alzer, H, Ruscheweyh, S, Salinas, L
openaire +4 more sources
Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges
Advanced Functional Materials, EarlyView.Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
wiley +1 more source
Generalized Cauchy–Schwarz Inequalities and A-Numerical Radius Applications
Axioms, 2023 The purpose of this research paper is to introduce new Cauchy–Schwarz inequalities that are valid in semi-Hilbert spaces, which are generalizations of Hilbert spaces.
Najla Altwaijry +2 more
doaj +1 more source
Lattices with non-Shannon Inequalities
, 2015 We study the existence or absence of non-Shannon inequalities for variables that are related by functional dependencies. Although the power-set on four variables is the smallest Boolean lattice with non-Shannon inequalities there exist lattices with many
Harremoës, Peter
core +1 more source
Bernstein type's concentration inequalities for symmetric Markov processes [PDF]
, 2010 Using the method of transportation-information inequality introduced in \cite{GLWY}, we establish Bernstein type's concentration inequalities for empirical means $\frac 1t \int_0^t g(X_s)ds$ where $g$ is a unbounded observable of the symmetric Markov ...
Gao, Fuqing, Guillin, Arnaud, Wu, Liming
core +5 more sources
Advanced Functional Materials, EarlyView.Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley +1 more source
Gradient Bounds for Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motions [PDF]
, 2011 We study some functional inequalities satisfied by the distribution of the solution of a stochastic differential equation driven by fractional Brownian motions.
Cheng Ouyang +3 more
core
Some Gamma Function Inequalities [PDF]
Mathematics of Computation, 1993 A class of completely monotonic functions are presented involving the gamma function as well as the derivative of the psi function. As a consequence, new upper and lower bounds for the ratio Γ ( x + 1 ) / Γ ( x + s ) \Gamma (x + 1)/\Gamma (x
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Advanced Materials, EarlyView.The magnetic high entropy oxide perovskite Nd(Cr0.2Mn0.2Fe0.2Co0.2Ni0.2)O3 exhibits a substantially large dielectric constant (εr) at room temperature, which shows distinct anionic and cationic contributions in the form of zero and finite bias peaks, respectively, down to its magnetic transition temperature (Tmag).
Roxana Capu +19 more
wiley +1 more source