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Naturalism in Mathematics

Penelope Maddy (2000)

Abstract It is well known that certain natural statements of set theory, like Cantor's continuum hypothesis (CH), cannot be proved or disproved on the basis of the standard axioms (Zermelo–Fraenkel with Choice or ZFC). Some philosophers tak...

OPENALEX DOI: https://doi.org/10.1093/0198250754.001.0001

The Mathematics of Marriage

John Mordechai Gottman, J. D. Murray, Catherine Swanson, Rebecca C. Tyson et al. • The MIT Press eBooks (2002)

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...

OPENALEX DOI: https://doi.org/10.7551/mitpress/4499.001.0001

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

Justice Kwame Appati, Prince Kofi Nartey, Ebenezer Owusu, Ismail Wafaa Denwar • International Journal of Mathematics and Mathematical Sciences (2021)

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...

DOAJ Open Access (DOAJ) DOI: 10.1155/2021/5545488

Determinantal Sieving

Eduard Eiben, Tomohiro Koana, Magnus Wahlström • TheoretiCS (2025)

We introduce determinantal sieving, a new, remarkably powerful tool in the toolbox of algebraic FPT algorithms. Given a polynomial $P(X)$ on a set of variables $X=\{x_1,\ldots,x_n\}$ and a linear matroid $M=(X,\mathcal{I})$ of rank $k$, bot...

DOAJ Open Access (DOAJ) DOI: 10.46298/theoretics.25.21

Realism in Mathematics

Penelope Maddy (1992)

Abstract Many mathematicians understand their work as an effort to describe the denizens and features of an abstract mathematical world or worlds. Most philosophers of mathematics consider views of this sort highly problematic, largely due ...

OPENALEX DOI: https://doi.org/10.1093/019824035x.001.0001

The Indispensability of Mathematics

Mark Colyvan (2001)

Abstract Looks at the Quine–Putnam indispensability argument in the philosophy of mathematics. This argument urges us to place mathematical entities on the same ontological footing as other theoretical entities indispensable to our best sci...

OPENALEX DOI: https://doi.org/10.1093/019513754x.001.0001

Principles of Mathematics

Bertrand Russell • Routledge eBooks (2009)

First published in 1903, Principles of Mathematics was Bertrand Russell’s first major work in print. It was this title which saw him begin his ascent towards eminence. In this groundbreaking and important work, Bertrand Russell argues that ...

OPENALEX DOI: https://doi.org/10.4324/9780203864760

Existence results and Ulam-Hyers stability for a sequential deformable fractional initial value problem

Leila Slimane, Souad Ayadi, Ozgur Ege, Ahmad Aloqaily et al. • Journal of Inequalities and Applications (2026)

Abstract In this study, we establish existence and Ulam-Hyers results for nonlinear sequential fractional differential equations involving the deformable derivative. We employ the Banach contraction principle and Krasnoselskii’s theorem to ...

DOAJ Open Access (DOAJ) DOI: 10.1186/s13660-026-03510-y

Understanding older adults’ continuance intention toward smart locks: a socio-technical study based on the Expectation-Confirmation Model of Information Systems and Task-Technology Fit Model

Yuan Wang, Norazmawati Md Sani, Jing Cai, Pei Lu et al. • PeerJ Computer Science (2026)

Background As aging populations continue to grow, smart home technologies—such as smart locks—have become increasingly essential to support older adults’ independent living. Long-term use remains a challenge, however, with most studies focu...

DOAJ Open Access (DOAJ) DOI: 10.7717/peerj-cs.3621

Handbook of Mathematical Functions

David R. Lide • CRC Press eBooks (2018)

The Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables was the culmination of a quarter century of National Bureau of Standards (NBS) work on core mathematical tools. Evaluating commonly occurring mathematical...

OPENALEX DOI: https://doi.org/10.1201/9781351069397-39

Working Memory and Children’s Mathematical Skills: Implications for mathematical development and mathematics curricula

Joni Holmes, John W. Adams • Educational Psychology (2005)

This study examined the contributions of the different components of the working memory (WM) model to a range of mathematical skills in children, using measures of WM function that did not involve numerical stimuli. A sample of 148 children...

OPENALEX Open Access DOI: https://doi.org/10.1080/01443410500341056

Mathematical Knowledge for Teaching and the Mathematical Quality of Instruction: An Exploratory Study

Heather C. Hill, Merrie Blunk, Charalambos Y. Charalambous, Jennifer M. Lewis et al. • Cognition and Instruction (2008)

This study illuminates claims that teachers' mathematical knowledge plays an important role in their teaching of this subject matter. In particular, we focus on teachers' mathematical knowledge for teaching (MKT), which includes both the ma...

OPENALEX Open Access DOI: https://doi.org/10.1080/07370000802177235

Analyzing the Transparency and the Efficiency of Innovative Transparent Electrodes for Space Solar Cell Applications

Francesco Cipriani, Maksim Shundalau, Patrizia Lamberti • Engineering Proceedings (2026)

In this work a study about the behavior of nanomaterial-based innovative transparent electrodes is presented, with a special focus on graphene, for space photovoltaic applications, in particular their transparency and the efficiency of the ...

DOAJ Open Access (DOAJ) DOI: 10.3390/engproc2026133130

What Is Mathematics?

Richard Courant, Herbert Robbins • Oxford University Press eBooks (1996)

Abstract For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in educat...

OPENALEX DOI: https://doi.org/10.1093/oso/9780195105193.001.0001

A History of Mathematics.

Carl B. Boyer, U. C. Merzbach • Biometrics (1993)

"Boyer and Merzbach distill thousands of years of mathematics into this fascinating chronicle. From the Greeks to Godel, the mathematics is brilliant; the cast of characters is distinguished; the ebb and flow of ideas is everywhere evident....

OPENALEX DOI: https://doi.org/10.2307/2532593

Handbook of mathematics and computational science

Harris, John W., Horst Stöcker B • Choice Reviews Online (1999)

Handbook of Mathematics and Computational Science Offers mathematics information for everyday use in problem solving, examinations, and homework. This book includes hundreds of tables of frequently used functions, formulae, transformations,...

OPENALEX DOI: https://doi.org/10.5860/choice.36-2801