Academic Articles & Research Papers

Mathematics — Key Technology for the Future

On the Domain of 4-Dimensional Catalan Matrix in the Space of Absolutely Summable Double Sequences

The primary objective of this study is to construct a novel double sequence space by utilizing the domain of a 4-dimensional (4D) matrix in the space $\mathcal{L}_u$ of the absolutely summable double sequences defined via the well-known Ca...

Threshold dynamics of a delayed predator–prey model with impulse via the basic reproduction number

Abstract In this paper, we study a delayed predator–prey model with impulse and, in particular, the existence of the predator-free periodic solution. We employ the approach and techniques coming from epidemiology and calculate the basic rep...

Epistemic injustice in mathematics

Philosophy of Mathematics

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematic...

Regularity results for a model in magnetohydrodynamics with imposed pressure

The magnetohydrodynamics (MHD) problem is most often studied in a framework where Dirichlet type boundary conditions on the velocity field is imposed. In this Note, we study the (MHD) system with pressure boundary condition, together with z...

Analisis Cluster Penyakit Malaria Provinsi Papua Menggunakan Metode Single Linkage Dan K-Means

Malaria adalah penyakit yang disebabkan oleh parasite bernama Plasmodium. Tercatat keseluruhan kasus malaria yang terjadi di Indonesia pada tahun 2019 adalah sebanyak 250.644 kasus. Dan kasus malaria tertinggi terjadi di provinsi Papua, yai...

BIOECOLOGÍA DE Telenomus podisi (ASHMEAD) Y Trissolcus basalis (WOLLASTON) (HIMENOPTERA: SCELIONIDAE), PARASITOIDES ÓOFAGOS DE Oebalus insularis (KULGHAST) (HETEROPTERA: PENTATOMIDAE)

  Se realizaron estudios bioecológicos de laboratorio y de campo para las localidades de Río Hato (Provincia de Coclé, Panamá), Chepo (Provincia de Panamá, Panamá). Se determinó la tasa de parasitismo de Trissolcus basalis y Telenomus podis...

On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics

Tuberculosis remains one of the most dangerous diseases globally and has affected many people in Sub-Saharan Africa. In this paper, a fractional stochastic model of tuberculosis disease was formulated and analyzed. The existence and uniquen...

Enhancing young children’s mathematical knowledge through a pre-kindergarten mathematics intervention

A Mathematical Introduction to Robotic Manipulation

A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motio...

Series Solution for Steady Three-Dimensional Flow due to Spraying on Inclined Spinning Disk by Homotopy Perturbation Method

The steady three-dimensional flow of condensation or spraying on inclined spinning disk is studied analytically. The governing nonlinear equations and their associated boundary conditions are transformed into the system of nonlinear ordinar...

Microbial network inference for longitudinal microbiome studies with LUPINE

Abstract Background The microbiome is a complex ecosystem of interdependent taxa that has traditionally been studied through cross-sectional studies. However, longitudinal microbiome studies are becoming increasingly popular. These studies ...

Predicting potato plant vigor from the seed tuber properties

Abstract The vigor of potato plants is of crucial importance for potato seed producers, who are interested in predicting it at scale by exploiting the dependence of plant growth and development on the origin and physiological state of the s...

What is mathematics, really?

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolv...

The Sociology of Mathematics Education: Mathematical Myths / Pedagogic Texts

Until the 1960s, maths was studied as an academic subject in a desire to have more mathematicians. The current trend, however, has moved away from viewing maths as a purely intellectual endeavour and towards developing a more mathematically...

The Mathematics of Diffusion

By J. Crank London: Oxford University Press. Pp.347 + vi. Price 50s. This book presents a full account of the differential equations applicable to many diffusion problems. Analytical discussions are given of a wide variety of problems, and ...

Extended Fibonacci numbers and polynomials with probability applications

The extended Fibonacci sequence of numbers and polynomials is introduced and studied. The generating function, recurrence relations, an expansion in terms of multinomial coefficients, and several properties of the extended Fibonacci numbers...

Determinação do Perfil Ótimo de Alimentação de Substrato no Processo de Fermentação Alcoólica - Influência da Condição Inicial

A otimização dinâmica do processo de fermentação batelada alimentada, através do controle da vazão de alimentação de substrato, caracteriza um problema de controle singular de difícil solução devido à flutuação do índice diferencial e da...

Pedestrian–bus route and pickup location planning for emergency evacuation

Planning for a bus-based regional evacuation is essential for emergency preparedness, especially for hurricane or flood prone urban environments with large numbers of transit-dependent or transit-captive populations. This paper develops an ...