18 papers · ranked by Valyu relevance
M. M. Hammad
Statistics provides us with the means to make sense of data, uncover patterns, and draw meaningful conclusions from seemingly complex information. It has applications in a wide range of disciplines, including science, engineering, finance, social sciences, and many others. Meanwhile, Mathematica, a powerful…
M. M. Hammad, M. M. Yahia
Optimization, linear algebra, probability, and statistics are cornerstones of machine learning. The majority of current machine learning textbooks concentrate on machine learning techniques and algorithms and presuppose that readers are proficient in mathematics and statistics. The gap between high school mathematics…
Szabolcs Horvát, Jakub Podkalicki, Gábor Csárdi, Tamás Nepusz + 3 more
'Vincent Traag' 'Fabio Zanini' 'Daniel Noom'] IGraph/M1 is an efficient general purpose graph theory and network analysis package for Mathematica (Wolfram Research, Inc., 2022). IGraph/M serves as the Wolfram Language interfaces to the igraph C library (Csárdi et al., 2022; Csárdi & Nepusz, 2006), and also provides…
Oluwateniayo O. Ogunsan, Daniel Lobo
Mathematical models formally and precisely represent biological mechanisms with complex dynamics. To understand the possible behaviors of such systems, phase portrait diagrams can be used to visualize their overall global dynamics across a domain. However, producing these phase portrait diagrams is a laborious process…
Francesca Bertacchini, Carmelo Scuro, Pietro Pantano, Eleonora Bilotta
'Eleonora Bilotta'] An educational robotics lab has been planned for undergraduate students in an Electronic Engineering degree, using the Project Based Learning (PBL) approach and the NAO robot. Students worked in a research context, with the aim of making the functions of the NAO robot as social and autonomous as…
Gennadi Malaschonok, I Borisov
Service provides the user with a workbook in which you can type the text and use all mathematical services. User can perform numerical and symbolic calculation; solve differential equalities; do matrix and polynomial computation; plot graphics of 2D and 3D functions, interact with 3D graphics, make animation and save…
Robert Dinnebier, Paolo Scardi
Peak profile functions in powder diffraction are presented with the support of Mathematica scripts, easily usable by interested readers, to explore the effect of different instrumental and microstructural parameters. Subsequent articles will illustrate the most common aberrations to the measured patterns and then total…
Gennadi Malaschonok
In this paper, we describe the general characteristics of the MathPartner computer algebra system (CAS) and its Mathpar programming language. The MathPartner can be used for scientific and engineering calculations, as well as in secondary schools and higher education institutions. It allows one to carry out both simple…
S. M. Abrarov, Rehan Siddiqui, Rajinder Kumar Jagpal, Brendan M. Quine
'Brendan M. Quine'] In this work, we develop a new iterative method for computing the digits of π by argument reduction of the tangent function. This method combines a modified version of the iterative formula for π with squared convergence that we proposed in a previous work and a leading arctangent term from the…
Sterling Baird, Taylor Sparks
A large collection of element-wise planar densities for compounds obtained from the Materials Project is calculated using brute force computational geometry methods. We demonstrate that the element-wise max lattice plane densities can be useful as machine learning features. The methods described here are implemented in…
Muhammad Nadeem, Yahya Alsayaad
This work presents the analytical study of one dimensional time-fractional nonlinear Schrödinger equation arising in quantum mechanics. In present research, we establish an idea of the Sumudu transform residual power series method (ST-RPSM) to generate the numerical solution of nonlinear Schrödinger models with the…
Marco Polo Castillo-Villalba
The analysis of large gene and metabolic networks is often hindered by unknown biochemical parameters and the nonlinear nature of classical S-system models. To address this, we introduce a framework based on combinatorial toric geometry computed with tools such as Normaliz, SageMath, it is worth mentioning this…
Daniel C. Zielinski, Marta R.A. Matos, James E. de Bree, Kevin Glass + 2 more
Kinetic models of enzymes have a long history of use for studying complex metabolic systems and designing production strains. Given the availability of enzyme kinetic data from historical experiments and machine learning estimation tools, a straightforward modeling approach is to assemble kinetic data enzyme by enzyme…
Ulrich K. Deiters, Ian H. Bell
1## Introduction Differentiation of functions plays a major role in many disciplines of science, from physics to engineering. A special case is thermodynamics, which is practically built upon differentiation: thermodynamic theories and models usually represent observable properties of matter as derivatives of some…
Rachel Mester, Alfonso Landeros, Chris Rackauckas, Kenneth Lange
Differential sensitivity analysis is indispensable in fitting parameters, understanding uncertainty, and forecasting the results of both thought and lab experiments. Although there are many methods currently available for performing differential sensitivity analysis of biological models, it can be difficult to…
Benjamin J. Walker, Adam K. Townsend, Alexander K. Chudasama, Andrew L. Krause
'Andrew L. Krause'] Computing has revolutionised the study of complex nonlinear systems, both by allowing us to solve previously intractable models and through the ability to visualise solutions in different ways. Using ubiquitous computing infrastructure, we provide a means to go one step further in using computers to…
Aaditya Prasad Gupta
A modeling is a mathematical tool, like a microscope, which allows consequences to logically follow from a set of assumptions by which a real world problem can be described by a mathematical formulation. It has become indispensable tools for integrating and interpreting heterogeneous biological data, validating…
Amir Hossein Salehi Shayegan
Time-fractional diffusion equations have emerged as powerful models for describing anomalous transport phenomena in physics, biology and engineering. To address the computational challenges arising from their non-local operators, we employ the WEB-spline finite element method, which provides a flexible and accurate…