Results 51 to 60 of about 42,170 (301)
Approximation Operators, Exponential, q-Exponential, and Free Exponential Families
Using the technique developed in approximation theory, we construct examples of exponential families of infinitely divisible laws which can be viewed as deformations of the normal, gamma, and Poisson exponential families. Replacing the differential equation of approximation theory by a q-differential equation, we define the q-exponential families, and ...
Bryc, Wlodzimierz, Ismail, Mourad
openaire +2 more sources
Limit Laws for Exponential Families [PDF]
The distribution function \(F\) of the random variable \(X\) generates a natural exponential family of distribution functions \(\{F_\lambda, \lambda\in \Lambda\}\), where \[ dF_\lambda(x): =e^{\lambda x}dF(x)/Ee^{\lambda x}\quad\text{for}\quad \lambda\in\Lambda: =\bigl\{\lambda\in(-\infty,\infty) \mid Ee^{\lambda X}
August A. Balkema +3 more
openaire +5 more sources
Automat optical inspection (AOI) techniques in semiconductor fabrication can be leveraged in battery manufacturing, enabling scalable detection and analysis of electrode‐ and cell‐level imperfections through AI‐driven analytics and a digital‐twin framework.
Jianyu Li, Ertao Hu, Wei Wei, Feifei Shi
wiley +1 more source
We present a fully automated Bayesian optimization (BO) protocol for the parameterization of nonbonded interactions in coarse‐grain CG force fields (BACH). Using experimental thermophysical data, we apply the protocol to a broad range of liquids, spanning linear, branched, and unsaturated hydrocarbons, esters, triglycerides, and water.
Janak Prabhu +3 more
wiley +1 more source
We prove that a family of $q$-periodic continuous matrix valued function ${A(t)}_{tin mathbb{R}}$ has an exponential dichotomy with a projector $P$ if and only if $int_0^t e^{imu s}U(t,s)Pds$ is bounded uniformly with respect to the parameter $mu$ and
Dhaou Lassoued
doaj
Sparse exponential family Principal Component Analysis [PDF]
We propose a Sparse exponential family Principal Component Analysis (SePCA) method suitable for any type of data following exponential family distributions, to achieve simultaneous dimension reduction and variable selection for better interpretation of the results. Because of the generality of exponential family distributions, the method can be applied
Lu, Meng +2 more
openaire +3 more sources
LL‐37 Driven Phase Transition and Stacking in Oligolamellar Gram‐Negative Bacterial Membrane Models
This work establishes oligolamellar bacterial membrane models to investigate how LL‐37 disrupts the complex dual‐bilayer architecture of Gram‐negative bacteria. Combining SAXS, cryo‐TEM, electrophoretic mobility measurements, and coarse‐grained simulations, it reveals cardiolipin‐driven phase transitions leading to bicelle‐like structures and membrane ...
Bettina Tran +5 more
wiley +1 more source
Amyloidogenic Peptide Fragments Designed From Bacterial Collagen‐like Proteins Form Hydrogel
This study identified amyloidogenic sequence motifs in bacterial collagen‐like proteins and exploited these to design peptides that self‐assemble into β‐sheet fibers and form hydrogels. One hydrogel supported healthy fibroblast growth, showing promise for biocompatible materials. Our work demonstrates that bacterial sequences can be harnessed to create
Vamika Sagar +5 more
wiley +1 more source
On uniform exponential trisplitting for cocycles of linear operators in Banach spaces
The aim of this paper is to study the concept of uniform exponential trisplitting for skew-product semiflow in Banach spaces. This concept is a generalisation of the well-known concept of uniform exponential trichotomy. We obtain necessary and sufficient
Biriş Larisa Elena +3 more
doaj +1 more source
Fractional q-symmetric calculus on a time scale
In this paper, the definitions of q-symmetric exponential function and q-symmetric gamma function are presented. By a q-symmetric exponential function, we shall illustrate the Laplace transform method and define and solve several families of linear ...
Mingzhe Sun, Chengmin Hou
doaj +1 more source

