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Latest Articles

Open Access

Diagrams show Derivatives of Inverse Function in Two Forms

Guojun Fang, Zhiqing Fu

Abstract: In the calculus class, some students were confused by the expression of Inverse Function in two forms, which causes difficulties in understanding how to calculate the derivative of Inverse Function. It was because they were taught to denote independent variable only by using x in high school. In order to help them understan [...] Read more.

Abstract PDF (1183 K) November 27, 2023 9 Downloads 130 Views DOI: 10.54647/mathematics110437

Open Access

Bifurcations of a discrete-time Phytoplankton-Zooplankton model

Vimbiso Shiri, Xianyi Li

Abstract: This work mainly investigates the bifurcation problems and topological classifications of a discrete phytoplankton-zooplankton model, whose continuous version was proposed by Truscott and Brindley in 1994. The model is derived by using the semi-discretization technique. Within this study, trivial and semi-trivial fixed poi [...] Read more.

Abstract PDF (1929 K) October 30, 2023 34 Downloads 360 Views DOI: 10.54647/mathematics110427

Open Access

Points algébriques sur une courbe hyperelliptique de Nils Bruin

El Hadji SOW, Moussa FALL, Oumar SALL

Abstract: We give the set of algebraic points of degree ≤5 over Q on the hyperelliptic curveC: y²=6x(x^4+3). This result extends a previous result of Bruin of who described in [1] the set of Q-rational points on this curve. [...] Read more.

Abstract PDF (1195 K) September 18, 2023 39 Downloads 392 Views DOI: 10.54647/mathematics110421

Open Access

GeoGebra Geometry Software Evaluation Case Study Using the MUSA Mathematical Model

Nikolaos Manikaros, Evgenios Avgerinos, Roza Vlachou

Abstract: In this work and in the context of the preparation of the Doctoral Dissertation on the subject "Study of Mathematical Modeling for Creation and Mining of Knowledge with the aim of producing new Evaluation Models - Certification of Resource Management Criteria with the help of IT, conducting a Comparative Study and Applicati [...] Read more.

Abstract PDF (1616 K) September 18, 2023 24 Downloads 346 Views DOI: 10.54647/mathematics110425

Open Access

AN OVERVIEW ON INTEGERS OF THE FORM \mathbf{6}^\mathbit{n}\ +\ \mathbf{1}

RAJIV KUMAR, SATISH KUMAR, MUKESH KUMAR, DUSHIYANT KUMAR

Abstract: We pose various congruences on the integers of form 6^n\ +\ 1, n\ \in\ Z_+, which may encourage younger number theorists to do research in number theory and settle new dimensions in this field. We saw that there are only three prime numbers, namely 7,\ 37, and 1297 of form 6^n\ +\ 1, whenever n\ \in\ Z_+-{{2}^km,\ k\geq6,\ [...] Read more.

Abstract PDF (1134 K) June 11, 2023 46 Downloads 541 Views DOI: 10.54647/mathematics110403

Open Access

The Reducibility of Modal Syllogisms Based on the Syllogism ▯EI◇O-2

Long Wei, Xiaojun Zhang

Abstract: Syllogistic reasoning plays a crucial part in natural language information processing. For the purpose of providing a consistent interpretation for Aristotelian modal syllogistic, this paper firstly proves the validity of the syllogism EI◇O-2, and then takes it as the basic axiom to derive the other 38 valid modal syllogism [...] Read more.

Abstract PDF (234 K) June 11, 2023 40 Downloads 443 Views DOI: 10.54647/mathematics110402

Open Access

Partial Algebraic Systems of type (T_n ,(n))

Saofee Busaman

Abstract: In this paper, we define the set (CF_(T_n,(n))(X_n))^{A^s} of all n-ary C-formulas on the partial algebraic system A^s=(A;(f^A_i)_i in I,r^A) of type (T_n,(n)) and define the operation R^{n,A} on the set( (W^C_{T_n}(X_n))^{A^s}U(CF_(T_n,(n))(X_n))^{A^s}. After this definition we have a unitary Menger algebra ( ( (W [...] Read more.

Abstract PDF (3890 K) May 31, 2023 43 Downloads 451 Views DOI: 10.54647/mathematics110401

Open Access

Forecasting of Air Passengers using Singular Spectrum Analysis

Sisti Nadia Amalia, Zul Amry

Abstract: Air transportation is the most appropriate option for extremely vast distances, such as those between cities, provinces, and countries. While unpredictability, high volatility, and seasonality sometimes result in complex behavior in air passenger time series, this research applies the Singular Spectrum Analysis technique fo [...] Read more.

Abstract PDF (1356 K) May 4, 2023 54 Downloads 409 Views DOI: 10.54647/mathematics110393

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Article

Electroelastic Actuators for Nano- and Microdisplacement

by Sergey M. Afonin

SCIREA Journal of Physics

3089 Downloads 67366 Views

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Pi’s Second White Paper —Future and Development