Science topics: Mathematics
Science topic

Mathematics - Science topic

Mathematics, Pure and Applied Math
Filters
All publications are displayed by default. Use this filter to view only publications with full-texts.
Publications related to Mathematics (10,000)
Sorted by most recent
Article
Full-text available
En este trabajo se presenta un análisis global de los resultados obtenidos en un estudio exploratorio sobre el conocimiento didáctico-matemático que poseen futuros profesores de Educación Básica para ense?ar matemáticas elementales. Para ello, fueron analizadas las prácticas matemáticas de 157 docentes chilenos en proceso de formación, a partir de...
Chapter
Full-text available
The (M+,M_)--method of compact symmetric spaces was introduced by the author and T. Nagano in [Duke Math. J. 45 (1978), 405-425]. Since then this method have been studied and applied to several important areas in mathematics by various authors. The main purpose of this article is to provide a comprehensive survey on the (M+,M_)--method and its appl...
Chapter
Full-text available
Mathematics is a key aspect of science but how mathematics can be successfully integrated in science teaching remains a vexing issue. That students often struggle with mathematics in science lessons, even when they have little problem with those ideas in mathematics lessons, has been a long-running concern for educators. One reason this the issue r...
Research Proposal
Full-text available
Call for Papers, Journal: Mathematics (MDPI) Special Issue: "Markov-Chain Modelling and Applications". Deadline: 28 February, 2021. Special Issue Editors: Dr. José álvarez-García, University of Extremadura, Spain. Dr. Oscar V. De la Torre-Torres, UMSNH, México. Dr. María de la Cruz del Río-Rama, University of Vigo, Spain. Special issue website: ht...
Article
Full-text available
A major goal of the first years of schooling is students' development from using counting strategies to using calculation strategies-or even recall-to solve addition or subtraction problems. It requires the perception and usage of arithmetic principles. Although the continued use of counting strategies is problematic for further learning progress,...
Article
Full-text available
The most common problem in spark ignition engine is how to increase the speed performance. Commonly researchers used traditional mathematical approaches for designing speed controller of spark ignition engine. However, this solution may not be sufficient.Hence, it is important to design the speed controller using smart methods. This paper proposes...
Chapter
Full-text available
Welches mathematische Wissen und K?nnen, welche F?higkeiten und Fertigkeiten ben?tigen Studierende eines technischen Studiengangs? Welche Definitionen mathematischer Begriffe sollten sie kennen, welche Rechenverfahren richtig anwenden k?nnen, welche mathematischen Beweise sollten sie wiedergeben, nachvollziehen oder selbst finden k?nnen? Diese Frag...
Article
Full-text available
What shapes do you get when you spin a cube on one of its vertices? This article explores the algebraic aspects of a spinning cube and establishes equations for the two cones and the hyperboloid using secondary school mathematics. Both the analysis and the verification take advantage of dynamic mathematics learning technologies.
Chapter
Full-text available
This work presents a neural model developed for a multivariable system with complex nonlinear dynamics, obtained through a tight methodology used both in simulation and in the real platform. In addition, this neural model has been studied and designed to meet the requirements of a predictive control strategy. A Twin-Rotor platform is used as an exa...
Chapter
Full-text available
We present an overview of the NTCIR Math Tasks organized during NTCIR-10, 11, and 12. These tasks are primarily dedicated to techniques for searching mathematical content with formula expressions. In this chapter, we first summarize the task design and introduce test collections generated in the tasks. We also describe the features and main challen...
Article
Full-text available
In this paper, a new generalized distribution known as Weibull Logistic-Exponential Distribution (WLED) is proposed using the T-R{Y} framework. Several mathematical properties of this new distribution are studied. The maximum likelihood estimation method was used in estimating the parameters of the proposed distribution. Finally, an application of...
Article
Full-text available
Discrete Jensen-type inequality for a harmonically convex function was established by Dragomir in [S. S. Dragomir, RGMIA Monographs, Victoria University, (2015)]. In [I. A. Baloch, A. H. Mughal, Y. M. Chu, M. De la Sen, Accepted in Aims Math-ematics], Baloch et al. presented a variant of discrete Jensen-type inequality for harmonically convex funct...
Preprint
Full-text available
This study investigates the functional organization and linguistic signals of academic lecture introductions in the discipline of mathematics. The goal of the present study is two-fold: 1) to determine the rhetorical model of lecture introductions in the field of mathematics so as to help non-native students of English to overcome difficulties in u...
Article
Full-text available
This study examines the differences between male and female adolescents and their maths study on their career aspiration. The study investigates the effect of grade point average and parents’ educational level on adolescents reported career aspiration. A career aspiration scale is administered to 2717 students representing tenth and eleventh grades...
Article
Full-text available
For interior-point algorithms in linear programming, it is well-known that the selection of the centering parameter is crucial for proving polynomility in theory and for efficiency in practice. However, the selection of the centering parameter is usually by heuristics and separate from the selection of the line-search step size. The heuristics are...
Article
Full-text available
This paper shows that the inverse chirp z-transform (ICZT), which generalizes the inverse fast Fourier transform (IFFT) off the unit circle in the complex plane, can also be used with chirp contours that perform partial or multiple revolutions on the unit circle. This is done as a special case of the ICZT, which in algorithmic form has the same com...
Article
Full-text available
Starting from the general question, if there is a connection between the mathematical capabilities of a student and his native language, we aim at comparing natural languages with mathematical language quantitatively. In [20] we set up an approach to compare language structures using Natural Language Processors (NLP). However, difficulties arose wi...
Article
Full-text available
Abstract In the past ten years, researchers have always attached great importance to the application of ontology to its relevant specific fields. At the same time, applying learning algorithms to many ontology algorithms is also a hot topic. For example, ontology learning technology and knowledge are used in the field of semantic retrieval and mach...
Article
Full-text available
X-ray dark-field (XDF) imaging accesses information on the small-angle scattering properties of the sample. With grating interferometry, the measured scattering signal is related to the sample’s autocorrelation function, which was previously demonstrated for simple samples, such as mono-dispersed microspheres for which the autocorrelation function...
Article
Full-text available
Abstract In this work, we investigate the fuzzy Adomian decomposition method (ADM) and fuzzy variational iteration method (VIM) applied to solving fuzzy heat-like and wave-like equations with variable coefficients, in the sense of gH-differentiability. The methods clearly are very efficient and powerful techniques in finding the solutions to the pr...
Article
Full-text available
Abstract In this paper, we study the rubella disease model with the Caputo–Fabrizio fractional derivative. The mathematical solution of the liver model is presented by a three-step Adams–Bashforth scheme. The existence and uniqueness of the solution are discussed by employing fixed point theory. Finally some numerical simulations are showed to unde...
Article
Full-text available
Quantum computers provide a valuable resource to solve computational problems. The maximization of the objective function of a computational problem is a crucial problem in gate-model quantum computers. The objective function estimation is a high-cost procedure that requires several rounds of quantum computations and measurements. Here, we define a...
Article
Full-text available
This study investigates what teachers in U.S. reveal about their meanings for function notation in their written responses to the Mathematical Meanings for Teaching secondary mathematics (MMTsm) items, with particular attention to how productive those meanings would be if conveyed to students in a classroom setting. We then report South Korean teac...
Article
Full-text available
Abstract We commend Nickerson and Brown on their insightful exposition of the mathematical algebra behind Simpson’s paradox, suppression and Lord’s paradox; we also acknowledge there can be differences in how Lord’s paradox is approached analytically, compared to Simpson’s paradox and suppression, though not in every example of Lord’s paradox. Furt...
Article
Full-text available
In this paper, we introduce the generalized k-fractional integral in terms of a new parameter k>0, present some new important inequalities of Pólya–Szeg? and ?eby?ev types by use of the generalized k-fractional integral. Our consequences with this new integral operator have the abilities to implement the evaluation of many mathematical problems rel...
Article
Full-text available
Background: Value-based pricing (VBP) of new drugs has been suggested both as a way to control health expenditures and to maximize health benefits based on the available resources. The purpose of this work is to present a simple mathematical proof showing that prices of new drugs are set in a mathematically consistent way when the sum of intervent...
Article
Full-text available
We introduce a class of information measures based on group entropies, allowing us to describe the information-theoretical properties of complex systems. These entropic measures are nonadditive, and are mathematically deduced from a series of natural axioms. In addition, we require extensivity in order to ensure that our information measures are me...
Article
Full-text available
In the current work, a new generalized model of heat conduction has been constructed taking into account the influence of the microscopic structure into the on non-simple thermoelastic materials. The new model was established on the basis of the system of equations that includes three-phase lags of higher-order and two different temperatures, namel...
Article
Full-text available
After publication of our article [1], the authors have reported mathematical errors made in the sample size calculation for this cluster randomized controlled trial (cRCT) (Benzies et al. 2017).
Article
Full-text available
The persistence and extinction (PE) are interesting topics in mathematics. This research analyzed PE of stochastic Logistic equations (SLE) by incorporating the Ornstein-Uhlenbeck process (SLOP) and stochastic delay Logistic equation (SDLE) by incorporating the Ornstein-Uhlenbeck process (SLDOP). Firstly, we proved that SLOP and SLDOP have positive...
Article
Full-text available
Abstract Computerized adaptive testing (CAT) based on item response theory allows more accurate assessments with fewer questions than the classic paper and pencil (P&P) test. Nonetheless, the CAT construction involves some key questions that, when done properly, can further improve the accuracy and efficiency in estimating the examinees’ abilities....
Article
Full-text available
The Editors-in-Chief have retracted this article [1] because it showed evidence of peer review manipulation. In addition, the identity of the corresponding author could not be verified: Nagoya University have confirmed that Ikudol Miyamato has not been affiliated with their Graduate School of Mathematics. The authors have not responded to any corre...
Article
Full-text available
It is widely accepted that a signal bandlimited by σ cannot oscillate at higher frequencies. The phenomenon of superoscillation provides a refutation of that quite general belief. Temporal superoscillations have been rarely demonstrated and are mostly treated as a mathematical curiosity. In the present article we demonstrate experimentally for the...
Article
Full-text available
Abstract Background Spatial skills and mathematical ability have been repeatedly identified as critical for achievement in Science, Technology, Engineering, and Mathematics (STEM). Previous studies have identified correlations between spatial skills and mathematical achievement; however, questions remain regarding improvements in non-spatial areas...
Article
Full-text available
An underlying question for virtually all single-cell RNA sequencing experiments is how to allocate the limited sequencing budget: deep sequencing of a few cells or shallow sequencing of many cells? Here we present a mathematical framework which reveals that, for estimating many important gene properties, the optimal allocation is to sequence at a d...
Article
Full-text available
Understanding prehistoric projectile weaponry performance is fundamental to unraveling past humans’ survival and the evolution of technology. One important debate involves how deeply stone-tipped projectiles penetrate a target. Theoretically, all things being equal, projectiles with smaller tip cross-sectional geometries should penetrate deeper int...
Article
Full-text available
Abstract It has yet to be determined whether or not the probability of developing cancer due to radiation exposure levels of low doses is proportional to the dose. Herein, for radiation hormesis occurring at low doses, mathematical models using functions that take a mountain-like shape having two inflection points are considered. The following pers...
Article
Full-text available
Abstract By the utilization of diamond-α derivatives, certain new generalizations of Ou-Iang type of dynamic integral inequalities of one independent variable on time scales are examined. The resulting inequalities are significant in the study of various fields of dynamic equations. A few mathematical applications are also presented.
Article
Full-text available
The entangled network structure of the quantum Internet formulates a high complexity routing space that is hard to explore. Scalable routing is a routing method that can determine an optimal routing at particular subnetwork conditions in the quantum Internet to perform a high-performance and low-complexity routing in the entangled structure. Here,...
Article
Full-text available
Abstract Recently, Wu (Mathematics 6(11):219, 2018; Mathematics 6(6):90, 2018) introduced the concept of a near-fixed point and established some results on near fixed points in a metric interval space and hyperspace. Motivated by these papers, we studied the near-coincidence point theorem in these spaces via a simulation function. To show the authe...
Article
Full-text available
Advising and mentoring Ph.D. students is an increasingly important aspect of the academic profession. We define and interpret a family of metrics (collectively referred to as “a-indices”) that can potentially be applied to “ranking academic advisors” using the academic genealogical records of scientists, with the emphasis on taking into account not...
Conference Paper
Full-text available
Existing stereotypical beliefs regarding mathematical ability as being innate and being associated with men more have severe consequences for female students' perceptions of their mathematical ability, their course-taking decisions, and eventually, their decision to enter and stay in STEM fields. Yet how such beliefs compare among educators at diff...
Conference Paper
Full-text available
In this study, we explored teachers' attention to and flexibility with referent units as well as how teachers' understanding of referent units is related to their performance on other fraction concepts and their professional background. By using data collected from 246 U.S. mathematics teachers in Grades 3-7 where fractions are taught, we found tha...
Conference Paper
Full-text available
Teachers' noticing of key aspects of instruction is an important skill for learning from and improving their teaching because noticing enables the opportunity for change. We investigated what teachers notice in short video clips of a real classroom teacher's interaction with students around a mathematics problem by conducting the largest survey stu...
Article
Full-text available
A review of The Discourse of Physics: Building Knowledge Through Language, Mathematics, and Images
Article
Full-text available
Tujuan Penelitian ini adalah untuk mengembangkan bahan ajar matematika kelas 1 SDLB untuk anak diskalkulia untuk mempermudah dalam mempelajari matematika Prosedur pengembangan mengadaptasi dari model pengembangan instruksional M. Atwi Suparman yang meliputi tahap definisi, analisis dan pengembangan prototype bahan ajar serta melaksanakan evaluasi f...
Preprint
Full-text available
In this work, we extended the recently developed tensor decomposition (TD) based unsuper-vised feature extraction (FE) to a kernel based method, through a mathematical formulation. Subsequently, the kernel TD (KTD) based unsupervised FE was applied to two synthetic examples as well as real data sets, and the relevant findings were compared with tho...
Poster
Full-text available
Nicknamed as The Ultimate Challenge [1], The 3x+1 Problem is one of the longstanding problems of Computer Science and Mathematics. In essence, it says that whatever initial positive integer x_0 you choose, the recursive sequence x_(n+1)=3x_n+1 if x_n is an odd number and x_(n+1)=x_n/2 if x_n is an even number, will return x_N=1 for some positive in...
Presentation
Full-text available
Cosmic numbers is a talk about numbers, physics, mathematics and the Universe.
Article
Full-text available
Intensity-Duration-Frequency (IDF) relationship of rainfall amount is one of the most commonly used tools in water resources engineering for planning designing, and operation of water resources projects. The objective of this research is therefore, to develop operational IDF relationships for the provinceof Kerbala based on historical data. The IDF...
Presentation
Full-text available
Keynote Speaker at the International Conference of Elementary Education and Technology (ICEET)
Preprint
Full-text available
The paper explains the turbulent trail of an airplane mentioned in the Clay Mathematical Institute's (CMI) Millennium problem. It is shown that the Euler equations and, consequently, the Navier-Stokes equations, in principle can't explain the vortex trail of an airplane due to their symmetry. The vortex trail of the airplane is explained by forces...
Book
Full-text available
Bu kitapla okuyucunun diferansiyel denklemler alan?nda anlaml? bir gezinti yapmas? hedeflenmektedir. Diferansiyel denklemlerde sistematik yakla??mlar?n uygulanabildi?i denklem s?n?flar? bütünün i?inde pek kü?üktür. Sistematik analizin mümkün oldu?u giri? seviyesindeki konular? farkl? bir tarzda tan?tman?n faydal? olaca?? bir okuyucu kitlesinin varl...
Article
Full-text available
develop current biology curriculum in the secondary stage in the light of the integration between Science, Technology, Engineering and Mathematics (STEM).
Preprint
Full-text available
We present a sufficient criterion for the emergence of cluster phases in an ensemble of interacting classical particles with repulsive two-body interactions. Through a zero-temperature analysis in the low density region we determine the relevant characteristics of the interaction potential that make the energy of a two-particle cluster-crystal beco...
Preprint
Full-text available
This paper is based on the study of an interesting feature of A-Hurewicz and Normal space in semi topological group. It is shown that free product of an A-Hurewicz and countable subset is A-Hurewicz in a semi topological group; If open sets separate every couple of singleton disjoint closed subsets of a coset of paracompact Hausdorff subset K of a...
Article
Full-text available
The purpose of this article is to construct a firm mathematical foundation for the boundary value problem associated with a generalized Emden equation that embraces Thomas-Fermi-like theories. Boundary value problems for the relativistic and nonrelativistic Thomas-Fermi equations are included as special cases. Questions of existence and uniqueness...
Article
Full-text available
The aim of this paper is to introduce and study some weak forms of regular spaces and weak forms of normal spaces , viz. ?p-regular spaces , p?-regular spaces , ?p-normal spaces and p?-normal spaces by using ?-closed sets , ?-open sets ,preclosed sets and preopen sets. Also , we studied some related functions like ?gp-closed functions , ?gp-continu...
Conference Paper
Full-text available
Seit 2018 wird an der RWTH Aachen ein Modul mit dem Schwerpunkt digitale Werkzeuge im Mathematikunterricht angeboten. Ziel ist einerseits der Abbau von Hürden, die einem zielgerichteten Einsatz im Unterricht entgegenstehen. Dazu hilfreiche Kompetenzen werden durch aktive Arbeitsphasen, differenzierende Lernsettings und kritische Diskussionsphasen g...
Preprint
Full-text available
The formalism of the de Broglie-Bohm (dBB) mechanics was constructed such as to avoid the collapse principle, and at the same time preserve the continuity equation from the standard quantum mechanics (QM). However, dBB introduced a hypothesis which is incompatible with the uncertainty principle, the hypothesis of particles following definite trajec...
Article
Full-text available
Intensity-Duration-Frequency (IDF) relationship of rainfall amount is one of the most commonly used tools in water resources engineering for planning designing, and operation of water resources projects. The objective of this research is therefore, to develop operational IDF relationships for the provinceof Kerbala based on historical data. The IDF...
Article
Full-text available
In this paper, we consider a bilevel optimization problem as a task of finding the optimum of the upper-level problem subject to the solution set of the split feasibility problem of fixed point problems and optimization problems. Based on proximal and gradient methods, we propose a strongly convergent iterative algorithm with an inertia effect solv...
Article
Full-text available
This studies the performed researches alongside determinants of Mathematics success of college students with inside the different State Universities and Colleges (SUCs) with inside the Philippines-Region I from the years 2007 to 2016 thru a meta-analysis approach. The following are the findings of the study. The determinants of arithmetic success o...
Article
Full-text available
In recent years, several interesting families of recursion formulas for various classes of classical hypergeometric functions are investigated. The aim of this present work is to develop certain interesting new families of recursion formulas, differential recursion formulas, integration formulas, differential operators, integral operators and infin...
Poster
Full-text available
In the poster, we will present a planned study focusing on the design of DMS tasks and elaborated feedback within a CAA system. The study will be conducted in a first year engineering mathematics course during autumn 2020.
Article
Full-text available
Renz [13] has established a rate of convergence 1/ √ n in the central limit theorem for martingales with some restrictive conditions. In the present paper a modification of the methods, developed by Bolthausen [2] and Grama and Haeusler [6], is applied for obtaining the same convergence rate for a class of more general martingales. An application t...
Conference Paper
Full-text available
Publication details EZEPUE, P. O. & GREY, D. R. (2005) Some notes on Schmidli's renewal theorem with branching process applications, Proceedings of the 2005 Hawaii International Conference on Statistics, Mathematics and Related Fields, January 9-12, Honolulu, Hawaii, USA [ISSN No. 1550-3747].
Article
Full-text available
Proof in Mathematics Education, 1980-2020: An Overview Gila Hanna, Christine Knipping ABSTRACT This paper looks at the evolution of ideas on the role of proof in mathematics education from 1980 to 2020, examining in particular the contributions of both theoretical and empirical research to the teaching of mathematical proof. In so doing, it desc...
Book
Full-text available
Mathematics for Engineers (in Arabic)
Preprint
Full-text available
Context-free languages are widely used to describe the syntax of programming languages and natural languages. Usually, we describe a context-free language mathematically with the help of context-free grammar (for generation) or pushdown automata (for recognition). The purpose of this study is to describe some unconventional methods of description o...
Poster
Full-text available
Reviewer Certificate MDPI Journal Mathematics 28 September 2020
Article
Full-text available
This study describes and investigates if an association exist between the retention intervals of the three-grouped student respondents in high school and their performance in the basic algebra. The respondent’s performances were categorized into different proficiency levels namely the far below basic, below basic, basic, above basic and proficient....
Presentation
Full-text available
This is a part of my presentation in the Analytic Number Theory course during Fall 2020 at Chennai Mathematical Institute ,India. Here I have talked about the Chebyshev's estimate , which was superseded by the Prime Number Theorem , nonetheless significant from both mathematical and historical perspective.
Conference Paper
Full-text available
The purpose of this study was to assess the activity of students in learning mathematics through PAIKEM approach. The instrument used is a non-test and test instruments. Non test instrument in the form of student observation sheet which is conducted every meeting for two cycles, this is done to determine the activity of students at each meeting. Te...
Article
Full-text available
Several properties of chemical compounds in a molecular structure can be determined with the aid of mathematical languages provided by various types of topological indices. In this paper, we consider eight den-drimer structures in the context of valency based topolog-ical indices. We define four Banhatti polynomials for general (molecular) graphs,...
Poster
Full-text available
Special Issue on Blockchain Technology for Sustainable Manufacturing based on Circular Economy in International Journal of Mathematical, Engineering and Management Sciences (Submission Deadline: 1st August 2021) https://www.ijmems.in/announcements.php