Academic Articles & Research Papers

Mathematical competencies revisited

ON THE FOUNDATIONS OF MATHEMATICS 1907

Ethanolic extract of black soldier fly (Hermetia illucens L.) larvae for wound healing in mice (Mus musculus L.)

The Black Soldier Fly (Hermetia illucens L.) or BSF is one of a group of insects that has a length of 15-20 mm originating from America. The larvae of the BSF has a high protein content (44.26%), which has great potential in treating wound ...

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...

Geometrical reasoning in the determination of the order of factorial

It is shown here how to interpret Stirling’s formula geometrically, moreover, how geometrical reasoning can serve determining the proper magnitude of the logarithm of the factorial....

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 ...

An Improved Blockchain-Based Lightweight Vehicle-to-Infrastructure Handover Authentication Protocol for Vehicular Ad Hoc Networks

We conduct a cryptanalysis of the Vehicle-to-Infrastructure (V2I) handover authentication protocol newly developed by Son et al., which incorporates blockchain technology for authentication purposes. Although this approach is notably effici...

Coordination of Plug-In Electric Vehicle Charging in a Stochastic Framework: A Decentralized Tax/Incentive-Based Mechanism to Reach Global Optimality

We address the problem of charging plug-in electric vehicles (PEVs) in a decentralized way and under stochastic dynamics affecting the real-time electricity tariff. The model is formulated as a Nash equilibrium seeking problem, where player...

A quasitopos containing CONV and MET as full subcategories

We show that convergence spaces with continuous maps and metric spaces with contractions, can be viewed as entities of the same kind. Both can be characterized by a “limit function” λ which with each filter ℱ associates a map λℱ from the un...

Developing a Mobile Game Using Scientific Approach to Support Mathematics Learning

The widespread use of smartphones to play games and the lack of use as a medium for learning mathematics is the reason for the need for the development of smartphone-based edutainment learning media. The purpose of this research is to desig...

Factors Affecting Difficulties in Learning Mathematics by Mathematics Learners

This article explores the adversities faced by public school students in learning mathematics in their leaning context. The main purpose of this study was to explore the causes of learning difficulties in mathematics. The design of the stud...

Numerical mathematics and computing

Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text a...

Mathematical Reasoning

Contents: Preface. Part I: Introduction. L.D. English, Analogies, Metaphors, and Images: Vehicles for Mathematical Reasoning. Part II: Cognitive Foundations for a Mind-Based Mathematics. G. Lakoff, R.E. Nunez, The Metaphorical Structure of ...

Mathematical creativity and school mathematics: Indicators of mathematical creativity in middle school students

As students progress through the educational system their interest in mathematics diminishes. Yet there is an ever increasing need within the workforce for individuals who possess talent in mathematics. The literature suggests that mathemat...

The mathematics of diffusion

Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained....

Advanced Mathematical Thinking

This chapter presents the principal currents and results in recent cognitive research on advanced mathematical thinking processes. The ambiguity in the phrase advanced mathematical thinking processes is intentional: The word advanced can an...

Mathematics Anxiety, Working Memory, and Mathematics Performance in Secondary-School Children

Mathematics anxiety (MA) has been defined as "a feeling of tension and anxiety that interferes with the manipulation of numbers and the solving of math problems in a wide variety of ordinary life and academic situations." Previous studies h...

Mathematics Elsewhere

The mathematics of diffusion