Academic Articles & Research Papers

Gas Transport in Shale Nanopores with Miscible Zone

Based on the results of molecular dynamics simulation, in a gas-water miscible zone, the velocity profiles of the flowing water film do not increase monotonously but increase first and then decrease, which is due to the interaction between ...

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...

Multi-step prediction in linearized latent state spaces for representation learning

In this paper, we derive a novel method as a generalization over LCEs such as E2C. The method develops the idea of learning a locally linear state space by adding a multi-step prediction, thus allowing for more explicit control over the cur...

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...

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...

Mathematics for Physics

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of ph...

Relationship between Mathematical Thinking, Mathematics Anxiety and Mathematics Attitudes among University Students

This study investigates the relationships between mathematics anxiety, attitudes toward mathematics and mathematical thinking among university students. A 60-item questionnaire included mathematical thinking rating scale, mathematics anxiet...

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...

Mathematical Morphology

Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, ...

Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions

We study the existence and regularity of weak solutions of a phase field type model for pure material solidification in presence of natural convection. We assume that the non-stationary solidification process occurs in a two dimensional bou...

Problem-Based Tasks in Mathematics Learning: Opportunities and Challenges for Teachers

Mathematics education and teaching should not only include routine tasks; but tasks that need practice and memorization are mathematically more prosperous and more difficult because they promote problem-solving, investigation, and the disco...

On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity

The asymptotic behavior of all solutions to the fourth-order Emden– Fowler type differential equation with singular nonlinearity is investigated. The equation is transformed into a system on the three-dimensional sphere. By investigation of...

Semi-Analytical Option Pricing Under Double Heston Jump-Diffusion Hybrid Model

We examine European call options in the jump-diffusion version of the Double Heston stochastic volatility model for the underlying price process to provide a more flexible model for the term structure of volatility. We assume, in addition, ...

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...

Homotopy perturbation Shehu transform method for solving fractional models arising in applied sciences

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 ...

Research on the Spatial Correlation and Influence Factors of Regional Internet Finance in China

Based on the Internet Finance development index developed by Peking University in investigating 31 provinces, we use social network analysis to investigate the spatial correlation and influencing factors of the Internet Finance of China’s p...

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...

Mathematical structures of language

This book attempts to show how one can arrive at an abstract system which characterizes precisely natural language. This is done by taking the data of language and finding within the data such relations as can be organized into a suitable m...