Results 21 to 30 of about 166,162,676 (139)

Exploring 2D Geometric Shape Classification Using AI‐Driven Feature Tables in Mathematics

open access: yesSchool Science and Mathematics, EarlyView.
ABSTRACT This study explored the effectiveness of an AI‐integrated instructional task designed to enhance preservice teachers' understanding of the features and hierarchical relationships of 2D geometric shapes. Originally developed and tested in online K‐12 professional development settings, this intervention was adapted for in‐person preservice ...
Yasemin Gunpinar, Woonhee Sung
wiley   +1 more source

A nonstandard characterization of regular surfaces [PDF]

open access: yes, 2007
In the present work we approach the study of surfaces using Nonstandard Analysis, by providing first a nonstandard characterization of a surface.
Almeida, R
core  

Weak Theories of Nonstandard Arithmetic and Analysis

open access: yes, 2018
A general method of interpreting weak higher-type theories of nonstandard arithmetic in their standard counterparts is presented. In particular, this provides natural nonstandard conservative extensions of primitive recursive arithmetic, elementary ...
Jeremy Avigad (3881521)
core   +1 more source

Arithmetic coding revisited [PDF]

open access: yes, 1998
Over the last decade, arithmetic coding has emerged as an important compression tool. It is now the method of choice for adaptive coding on multisymbol alphabets because of its speed, low storage requirements, and effectiveness of compression.
Neal, Radford M.   +5 more
core   +1 more source

There Is More Than Meets the Eye: The Dual Role of Perception in Shaping Color Lexicons

open access: yesTopics in Cognitive Science, EarlyView.
Abstract Color's ultimate physical reality is continuous, and yet human beings “cut” this continuum into a rather small number of categories reflected in their languages’ color lexicon. There are striking cross‐linguistic differences in the color lexicon, which are primarily attributed to differences in communicative needs, but also striking ...
Mathilde Josserand   +3 more
wiley   +1 more source

Materials and Music: Selective Imperfection as a Generative Framework for Analysis, Creativity and Discovery

open access: yesInterdisciplinary Materials, Volume 5, Issue 5, Page 834-867, September 2026.
Vibrations in matter, from spider webs to molecules, water to flames, share a grammar with music. We propose that creativity emerges when constraints force expansion beyond existing possibilities. Selective imperfection restores balance, enabling invention.
Markus J. Buehler
wiley   +1 more source

Nonstandard arithmetic of Hilbert subsets [PDF]

open access: yes, 1991
Let f(X, Y)ϵZ[X, Y] be irreducible. We give a condition that there are only finitely many integers n ϵZsuch that f(n, Y) is reducible and we give a bound for such integers.
Masahiro Yasumoto, Yasumoto, Masahiro
core   +1 more source

Structure and Computation

open access: yesNoûs, Volume 60, Issue 3, Page 593-605, September 2026.
ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
wiley   +1 more source

Weak, Strong and Mixed Extensions of Relations to Spaces of Ultrafilters

open access: yesMathematical Logic Quarterly, Volume 72, Issue 3, August 2026.
ABSTRACT The use of nonstandard methods to characterize properties of weak, strong and mixed extensions of congruences to ultrafilters has been the main topic of several recent papers, focused mostly on congruences and divisions. We show that similar methods can be used to extend these characterizations to arbitrary relations and their interplay.
Leonardo Raffaello Maximilian Gasparro   +1 more
wiley   +1 more source

The Role of Language Dominance in Congruency Effects on Multi‐Word Unit Processing: Evidence From Early Bilinguals

open access: yesInternational Journal of Applied Linguistics, Volume 36, Issue 3, Page 2808-2821, August 2026.
ABSTRACT This study investigates how the learner‐related factors of language dominance, encompassing language history, proficiency, use, and attitude, modulate congruency effects in multi‐word unit (MWU) processing among early bilinguals. Seventy Cantonese–Putonghua bilinguals completed lexical decision tasks measuring reaction time and accuracy for ...
Mingjia Cai, Yuan Liang
wiley   +1 more source

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