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Latest Articles

Open Access

Stirling’s Formula: Generalization and Improvement

Hong-Quan LIU

Abstract: The famous Stirling’s formula is generalized and improved, by using the arguments of analytic number theory and mathematical analysis. [...] Read more.

Abstract PDF (741 K) December 4, 2022 12 Downloads 45 Views DOI: 10.54647/mathematics11183

Open Access

About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups

Felix F. Flemisch

Abstract: We first give a quite profound overview of the structure of arbitrary simple groups and in particular of the simple locally finite groups and reduce their Sylow theory for the prime p to a famous conjecture of Prof. Otto H. Kegel ( see [16], Theorem 2.4: “ Let P be a p-uniqueness subgroup of the finite simple group S which [...] Read more.

Abstract PDF (3080 K) November 22, 2022 15 Downloads 176 Views DOI: 10.54647/mathematics11359

Open Access

New opinions about some topics of mathematical physics

H.-Q. LIU

Abstract: This work is inspired by our recent work of giving a counterexample to the classical complex analysis (SCIREA Journal of Math. (6)4(2019), pp. 189-193). [...] Read more.

Abstract PDF (277 K) November 13, 2022 8 Downloads 141 Views DOI: 10.54647/mathematics11186

Open Access

Feedback Functions in Problems of Nonlinear Programming

A.E. Umnov, E.A. Umnov

Abstract: The article considers a method for solving a nonlinear programming problem. This method uses special feedback functions that describe the relationship between direct variables and Lagrange multipliers. These relations are similar to the conditions of the Karush-Kuhn-Tucker theorem, but do not use inequalities in their notat [...] Read more.

Abstract PDF (357 K) September 12, 2022 9 Downloads 640 Views DOI: 10.54647/mathematics11348

Open Access

Minimax Estimator on Binomial Distribution

Zul Amry, Sisti Nadia Amalia

Abstract: This paper discusses the minimax estimator of parameter for binomial distribution. The likelihood function is constructed based on the probability function of the Binomial distribution. The posterior distribution is obtained from the joint of the likelihood function and prior distribution. Furthermore, the Bayes estimato [...] Read more.

Abstract PDF (1188 K) July 31, 2022 16 Downloads 298 Views DOI: 10.54647/mathematics11340

Open Access

A synthetic analysis of a recently published book that presents a NUMERICAL method of solving 2nd order Elliptic Partial Differential Equations leading towards ANALYTICAL solutions

Blumenfeld Maty Rol

Abstract: The author has published recently (2021) a book having the title [1] Numerical Method to select an Analytical Polynomial Solution for Linear or Nonlinear Elliptic Partial Differential Equations of second order
The book can be freely downloaded from the blumenfeld.ro website. It was written during the isolation p [...] Read more.

Abstract PDF (724 K) July 12, 2022 9 Downloads 338 Views DOI: 10.54647/mathematics11327

Open Access

Variable selection of regularized stochastic gradient descent in logistic regression

Ping Guo

Abstract: In the modern big data environment, Stochastic gradient descent is an important method for training neural networks, processing largescale data sets, optimization, etc. Deeply welcomed in various fields. With regard to SGD, the existing literature considers the stopping condition of parameter iteration. In fact, some unimp [...] Read more.

Abstract PDF (257 K) May 18, 2022 12 Downloads 481 Views DOI: 10.54647/mathematics11319

Open Access

A structure of Dedekind in the cryptosystem

Magdalena Jankowska, L ukasz Matysiak

Abstract: In this paper we consider the structure of Dedekind in some developed cryptosystems. In one case, the structure exists with respect to a key, and in the other case, the structure exists with respect to two alphabets. The second part of this paper is an appendix that considers the applications of polynomial composites and mo [...] Read more.

Abstract PDF (271 K) February 12, 2022 7 Downloads 582 Views DOI: 10.54647/mathematics11310

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Electroelastic Actuators for Nano- and Microdisplacement

by Sergey M. Afonin

SCIREA Journal of Physics

3057 Downloads 61177 Views

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Pi’s Second White Paper —Future and Development