Academic Articles & Research Papers

On proof and progress in mathematics

This essay on the nature of proof and progress in mathematics was stimulated by the article of Jaffe and Quinn, "Theoretical Mathematics: Toward a cultural synthesis of mathematics and theoretical physics".Their article raises interesting i...

Application of Embodied Intelligence in Intelligent Warehousing and Logistics Scenarios

ABSTRACT This study integrates embodied intelligence (EI) with a two‐stage two‐sided Hotelling duopoly model to reveal how physical intelligence reshapes digital platform equilibrium in intelligent logistics. By embedding EI‐driven efficien...

System 2 Thinking in OpenAI’s o1-Preview Model: Near-Perfect Performance on a Mathematics Exam

The processes underlying human cognition are often divided into System 1, which involves fast, intuitive thinking, and System 2, which involves slow, deliberate reasoning. Previously, large language models were criticized for lacking the de...

Mathematical Statistics

Traditional texts in mathematical statistics can seem - to some readers-heavily weighted with optimality theory of the various flavors developed in the 1940s and50s, and not particularly relevant to statistical practice. Mathematical Statis...

Robustness of a bisimulation-type faster-than preorder

TACS is an extension of CCS where upper time bounds for delays can be specified. Luettgen and Vogler defined three variants of bismulation-type faster-than relations and showed that they all three lead to the same preorder, demonstrating th...

Wireless Link-Quality Estimation in Smart Grid Environments

Recently, wireless sensor networks (WSNs) have gained great attention from the research community for various smart grid applications, including advanced metering infrastructure (AMI), power outage detection, distribution automation, towers...

Cloud point extraction procedure for preconcentration and determination of lead(II) ions using triton X-100 at room temperature

A Cloud point extraction (CPE) procedure was presented for preconcentration of lead(II) ions, after complexation by 18-crown-6 (18C6) and extraction with Triton X-100 at proposed experimental conditions. After separation of surfact...

Global quantum correlations in finite-size spin chains

We perform an extensive study of the properties of global quantum correlations in finite-size one-dimensional quantum spin models at finite temperature. By adopting a recently proposed measure for global quantum correlations (Rulli and Sara...

Analysis of factors affecting the length of stay of patients using clustering and association rules (Case study: Amir al-Momenin Hospital, Maragheh)

One of the major indicators in evaluating the performance of hospitals and their managers is the average length of stay of patients; given the importance of this indicator, the present study has examined the factors affecting the length of ...

The application of cosine similarity measures with Laplacian energy to q-rung orthopair fuzzy graphs in decision-making problems

Q-rung orthopair fuzzy sets (q-ROFS), which are better than the intuitionistic and Pythagorean fuzzy sets, are a significant tool for expressing ambiguous information. Their key feature is that their ability to represent a larger space of u...

Mathematical Methods for Physicists

This text is designed for an intermediate-level, two-semester undergraduate course in mathematical physics. It provides an accessible account of most of the current, important mathematical tools required in physics these days. It is assumed...

The Mathematical Theory Of Plasticity

Abstract First published in 1950, this important book details the mathematical theory underlying the behaviour of plastic materials, especially metals. ‘the author has done his work so well that it is difficult to see how it could be better...

Constructivity in Mathematics

This is an expanded version of the lectures that I delivered to the Department of Pure Mathematics at the University of Calcutta in the period 27 January -6 February 1998. I am most grateful to that University for inviting me to be its Rani...

Mathematical Enculturation

The Mathematics of Marriage

Divorce rates are at an all-time high. But without a theoretical understanding of the processes related to marital stability and dissolution, it is difficult to design and evaluate new marriage interventions. The Mathematics of Marriage pro...

Dengue serotype immune-interactions and their consequences for vaccine impact predictions

Dengue is one of the most important and wide-spread viral infections affecting human populations. The last few decades have seen a dramatic increase in the global burden of dengue, with the virus now being endemic or near-endemic in over 10...

Implementation of a Transform-Minutiae Fusion-Based Model for Fingerprint Recognition

Biometrics consists of scientific methods of using a person’s unique physiological or behavioral traits for electronic identification and verification. The traits for biometric identification are fingerprint, voice, face, and palm print rec...

Induction Motor Parameter Identification Using a Gravitational Search Algorithm

The efficient use of electrical energy is a topic that has attracted attention for its environmental consequences. On the other hand, induction motors represent the main component in most industries. They consume the highest energy percenta...

Introduction to Mathematical Philosophy

"The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained. But separation of such questions is hardly likely to be fruitful unless th...

MATHEMATICAL COMPETENCIES AND THE LEARNING OF MATHEMATICS: THE DANISH KOM PROJECT

This paper presents the Danish KOM project (KOM: Competencies and the Learning of Mathematics), initiated by the Ministry of Education and other official bodies in order to create a platform for in-depth reform of Danish mathematics educati...