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Latest Articles

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 271 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 427 Views DOI: 10.54647/mathematics11310

Open Access

Basic Nature of intermolecular attraction forces and Comparison with forces like Van Der Waals and hydrogen bonds by “Multi Molecule Theory”

Satyavarapu Naga Parameswara Gupta

Abstract: This is a fundamental result. What is the basic nature the intermolecular attraction forces? These questions were not thought off earlier. All the earlier conclusions were oriented towards finding the value of inter molecular attraction forces. We took the nature of these forces to be Newtonian Gravitation attraction forces [...] Read more.

Abstract PDF (2437 K) January 20, 2022 13 Downloads 560 Views DOI: 10.54647/mathematics11304

Open Access

Determination of a time-dependent source term using local meshless method

Baiyu Wang, Wei Liu

Abstract: For the past few years, the meshless method has played a great advantage in solving partial differential equations. In this paper, a local meshless method based on moving least square and local radial basis functions is used to solve the inverse problem of heat conduction equation. The inverse problem is determination of a [...] Read more.

Abstract PDF (798 K) December 28, 2021 8 Downloads 499 Views DOI: 10.54647/mathematics11265

Open Access

Optimum Control in the model of blood fever disease with vaccines and treatment

PARDI AFFANDI, M.Mahfudz S, Oscar A.B, A. Rahim

Abstract: Dengue Hemorrhagic Fever (DHF) is a disease caused by an arbovirus that enters the human body through the Aedes aegypti or Aedes albopictus mosquito. Dengue Hemorrhagic Fever (DHF) is characterized by symptoms of dengue fever; headache; reddish skin that looks like measles; and muscle and joint pain. In some patients, dengu [...] Read more.

Abstract PDF (377 K) December 13, 2021 9 Downloads 509 Views DOI: 10.54647/mathematics11303

Open Access

Points algébriques de degrés au plus $5$ sur la courbe C d'équation affine y^{2}= 4x^{5}+1

EL Hadji SOW, Moussa FALL, Oumar SALL

Abstract: In this work, we determine the set of algebraic points of degree at most Q over on the curve C given by the affine equation y^{2}= 4x^{5}+1. This result extends a result of Andrew R. Booker, Jeroen Sijsling, Andrew V. Sutherland, John Voight and Dan Yasak who described in [1] the set of rational points on this curve [...] Read more.

Abstract PDF (386 K) December 9, 2021 15 Downloads 517 Views DOI: 10.54647/mathematics11300

Open Access

A Note on Connected Six Cyclic Graphs Having Minimum Degree Distance

Nadia Khan, Fatima Ramazan, Munazza Shamas

Abstract: Let G_n^6 represents the class connected 6-cyclic graphs. In this paper, first some result isderived for the characterization of class connected 6-cyclic graphs. Then we find minimum degree distance of class of connected of 6-cyclic graph. [...] Read more.

Abstract PDF (477 K) November 15, 2021 12 Downloads 550 Views DOI: 10.54647/mathematics11289

Open Access

Comparison principle to the infinity Laplacian equation with lower term

Cuicui Li, Fang Liu

Abstract: In this paper, we establish the comparison principles via the perturbation method for the equation