Results 91 to 100 of about 88,173 (262)
Deriving Cauchy's Integral Formula Using Division Method
Cauchy's integral theorem and formula which holds for analytic functions is proved in most standard complex analysis texts. The nth derivative form is also proved. Here we derive the nth derivative form of Cauchy's integral formula using division method and showed its link with Taylor's theorem and demonstrate the result with some polynomials.
M Egahi, I O Ogwuche, J Ode
openaire +2 more sources
A new smooth failure criterion for concrete inspired by Lubliner's condition
Abstract A new failure criterion with 10 parameters is proposed, based on Lubliner's idea of joining two Drucker–Prager cones. The novelty lies in the way of introducing deviatoric shape variation: through two Podgórski's functions. This feature allows for improving plane stress cross‐section's compatibility with experimental data.
Inez Kamińska, Aleksander Szwed
wiley +1 more source
A Bayes factor framework for unified parameter estimation and hypothesis testing
Abstract The Bayes factor, the data‐based updating factor of the prior to posterior odds of two hypotheses, is a natural measure of statistical evidence for one hypothesis over the other. We show how Bayes factors can also be used for parameter estimation.
Samuel Pawel
wiley +1 more source
From tetrachoric to kappa: How to assess reliability on binary scales
Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
wiley +1 more source
Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in
We study the Riemann boundary value problem , for analytic functions in the class of analytic functions represented by the Cauchy-type integrals with density in the spaces with variable exponent.
Samko S, Kokilashvili V, Paatashvili V
doaj
Fractional Sums and Differences with Binomial Coefficients
In fractional calculus, there are two approaches to obtain fractional derivatives. The first approach is by iterating the integral and then defining a fractional order by using Cauchy formula to obtain Riemann fractional integrals and derivatives.
Thabet Abdeljawad +3 more
doaj +1 more source
Latent Poisson count models for action count data from technology‐enhanced assessments
Abstract Recent advances in computerized assessments have enabled the use of innovative item formats (e.g., drag‐and‐drop, scenario‐based), necessitating a flexible model that can capture systematic influence of item types on action counts. In this study, we present a refinement scheme that can explicitly model common features of items and allows ...
Gregory Arbet, Hyeon‐Ah Kang
wiley +1 more source
Real‐Time Conformal Maps and Parameterizations
Abstract We present a simple algorithm to conformally map between two simple and bounded planar domains based on the concept of harmonic measure, which is a conformal invariant. With suitable preprocessing, the algorithm is fast enough to compute all possible conformal maps (having three real degrees of freedom) between the two domains in real time in
Q. Chang, C. Gotsman, K. Hormann
wiley +1 more source
ABSTRACT Metal additive manufacturing (AM) provides a pathway for creating highly optimized components that would be difficult to produce using traditional manufacturing methods. However, regardless of printing parameters or postprocessing, porosity remains a prevalent challenge in AM components because strain concentrates in the vicinity of the pore ...
Erick Adan Ramirez +3 more
wiley +1 more source
Identification and Estimation of Large Network Games with Private Link Information
ABSTRACT We study the identification and estimation of large network games in which individuals choose continuous actions while holding private information about their links and payoffs. Extending the framework of Galeotti et al., we build a tractable empirical model of such network games and show that the parameters in individual payoffs are ...
Hülya Eraslan, Xun Tang
wiley +1 more source

