Data augmentation for mathematical objects

T del Río, M England - arXiv preprint arXiv:2307.06984, 2023 - arxiv.org
This paper discusses and evaluates ideas of data balancing and data augmentation in the
context of mathematical objects: an important topic for both the symbolic computation and …

Computing with Tarski formulas and semi-algebraic sets in a web browser

Z Kovács, C Brown, T Recio, R Vajda - Journal of Symbolic Computation, 2024 - Elsevier
We report on successfully porting the Tarski system for computing with Tarski formulas
(Boolean combinations of polynomial sign conditions over the real numbers) to Javascript …

Visualizing a Cubic Linkage through the Use of CAS and DGS

T Recio, R Losada-Liste, LF Tabera, C Ueno - Mathematics, 2022 - mdpi.com
Our goal is to discuss the different issues that arise when attempting to visualize a joints-and-
bars cube through GeoGebra, a widespread program that combines dynamic geometry …

[HTML][HTML] The" never-proved" triangle inequality: A GeoGebra & CAS approach

Z Kovács, T Recio, C Ueno, R Vajda - AIMS Mathematics, 2023 - aimspress.com
We use a quite simple, yet challenging, elementary geometry statement, the so-called" never
proved"(by a mathematician) theorem, introduced by Prof. Jiawei Hong in his …

A Computational Approach to the Perimeter-Area Inequality in a Triangle

T Recio, C Ueno, MP Vélez - Axioms, 2025 - mdpi.com
This paper explores the application of automated reasoning tools, specifically those
implemented in GeoGebra Discovery, to the perimeter-area inequality in triangles. Focusing …

[PDF][PDF] Towards Detection of Partial Truth via Real Geometry.

CW Brown, Z Kovács, S Luksch, T Recio, R Vajda… - SC-Square …, 2023 - ceur-ws.org
Computational algebraic geometry has already shown its great potential as the underlying
tool for implementing automated reasoning algorithms in elementary geometry, in a complex …

[PDF][PDF] A REAL MECHANICAL GEOMETER

T Recio, MP Vélez - cs.uwaterloo.ca
We introduce, first, the current performance of the programs GeoGebra and GeoGebra
Discovery regarding diverse automatic reasoning tools features, that rely on computational …

[图书][B] Intelligent Computer Mathematics: 16th International Conference, CICM 2023, Cambridge, UK, September 5–8, 2023 Proceedings

C Dubois, M Kerber - 2023 - books.google.com
With the continuing, rapid progress of digital methods in communications, knowledge
representation, processing, and discovery, the special character and needs of mathematical …

[PDF][PDF] ПРЕДСТАВЛЕНИЕ ГЕОМЕТРИЧЕСКОГО ПРОСТРАНСТВА И ЕГО НАГЛЯДНО-ОБРАЗНОЙ МОДЕЛИ В УЧЕБНОЙ ДЕЯТЕЛЬНОСТИ

ВИ Горбачев, ЕН Пузырева - vestnik.kspu.ru
Аннотация Постановка проблемы. В учебной геометрической деятельности
исследуется проблема формирования интегрального модельного представления …

GeoGebra Discovery

CW Brown, Z Kovács, T Recio, R Vajda - Intelligent Computer Mathematics - Springer
Description. GeoGebra is a dynamic mathematics software tool for all levels of education,
that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus …