Francisco Botana

Orcid: 0000-0002-0212-6470

According to our database1, Francisco Botana authored at least 47 papers between 1995 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Geometric Loci and ChatGPT: Caveat Emptor!
Comput., February, 2024

2021
A Mechanical Geometer.
Math. Comput. Sci., 2021

2020
Foreword.
Math. Comput. Sci., 2020

Special issue on dynamic geometry and automated reasoning.
J. Symb. Comput., 2020

2019
A Proposal for the Automatic Computation of Envelopes of Families of Plane Curves.
J. Syst. Sci. Complex., 2019

2018
Towards an Automated Geometer.
Proceedings of the Artificial Intelligence and Symbolic Computation, 2018

2017
Computing envelopes in dynamic geometry environments.
Ann. Math. Artif. Intell., 2017

2016
On the Unavoidable Uncertainty of Truth in Dynamic Geometry Proving.
Math. Comput. Sci., 2016

Some issues on the automatic computation of plane envelopes in interactive environments.
Math. Comput. Simul., 2016

Foreword to the special issue on "Nonstandard Applications of Computer Algebra (ACA'2013)".
Math. Comput. Simul., 2016

New tools in GeoGebra offering novel opportunities to teach loci and envelopes.
CoRR, 2016

Development of automatic reasoning tools in GeoGebra.
ACM Commun. Comput. Algebra, 2016

Towards the Automatic Discovery of Theorems in GeoGebra.
Proceedings of the Mathematical Software - ICMS 2016, 2016

2015
Automated Theorem Proving in GeoGebra: Current Achievements.
J. Autom. Reason., 2015

A Singular web service for geometric computations.
Ann. Math. Artif. Intell., 2015

2014
Automated Generation of Equations for Linkage Loci in a Game Physics System.
Technol. Knowl. Learn., 2014

A parametric approach to 3D dynamic geometry.
Math. Comput. Simul., 2014

Automatic deduction in (dynamic) geometry: Loci computation.
Comput. Geom., 2014

Using a free open source software to teach mathematics.
Comput. Appl. Eng. Educ., 2014

An algebraic taxonomy for locus computation in dynamic geometry.
Comput. Aided Des., 2014

Using Maple's RegularChains Library to Automatically Classify Plane Geometric Loci.
Proceedings of the Mathematical Software - ICMS 2014, 2014

Software Using the Gröbner Cover for Geometrical Loci Computation and Classification.
Proceedings of the Mathematical Software - ICMS 2014, 2014

2013
A Dynamic Symbolic Geometry Environment Based on the GröbnerCover Algorithm for the Computation of Geometric Loci and Envelopes.
Proceedings of the Intelligent Computer Mathematics, 2013

2011
Automatic Deduction in Dynamic Geometry using Sage
Proceedings of the Proceedings First Workshop on CTP Components for Educational Software, 2011

Exact internet accessible computation of paths of points in planar linkages and diagrams.
Comput. Appl. Eng. Educ., 2011

A Symbolic Companion for Interactive Geometric Systems.
Proceedings of the Intelligent Computer Mathematics - 18th Symposium, 2011

On the Parametric Representation of Dynamic Geometry Constructions.
Proceedings of the Computational Science and Its Applications - ICCSA 2011, 2011

Using Free Open Source Software for Intelligent Geometric Computing.
Proceedings of the Computational Science and Its Applications - ICCSA 2011, 2011

2010
Adding remote computational capabilities to Dynamic Geometry Systems.
Math. Comput. Simul., 2010

2007
First Steps on Using OpenMath to Add Proving Capabilities to Standard Dynamic Geometry Systems.
Proceedings of the Towards Mechanized Mathematical Assistants, 14th Symposium, 2007

Computing Locus Equations for Standard Dynamic Geometry Environments.
Proceedings of the Computational Science - ICCS 2007, 7th International Conference, Beijing, China, May 27, 2007

2006
Automated Discovery in Elementary Extrema Problems.
Proceedings of the Computational Science, 2006

2004
Automatic determination of envelopes and other derived curves within a graphic environment.
Math. Comput. Simul., 2004

Where the Truth Lies (in Automatic Theorem Proving in Elementary Geometry).
Proceedings of the Computational Science and Its Applications, 2004

Towards Solving the Dynamic Geometry Bottleneck Via a Symbolic Approach.
Proceedings of the Automated Deduction in Geometry, 5th International Workshop, 2004

2003
A Web-based Resource for Automatic Discovery in Plane Geometry.
Int. J. Comput. Math. Learn., 2003

A software tool for the investigation of plane loci.
Math. Comput. Simul., 2003

Automatic Determination of Algebraic Surfaces as Loci of Points.
Proceedings of the Computational Science - ICCS 2003, 2003

A Web-Based Intelligent System for Geometric Discovery.
Proceedings of the Computational Science - ICCS 2003, 2003

2002
A dynamic-symbolic interface for geometric theorem discovery.
Comput. Educ., 2002

Interactive versus Symbolic Approaches to Plane Loci Generation in Dynamic Geometry Environments.
Proceedings of the Computational Science - ICCS 2002, 2002

2001
Cooperation between a Dynamic Geometry Environment and a Computer Algebra System for Geometric Discovery.
Proceedings of the Computer Algebra in Scientific Computing, 2001

2000
Construction of Efficient Rulesets from Fuzzy Data through Simulated Annealing.
Proceedings of the Artificial Intelligence: Methodology, 2000

1999
Learning Efficient Rulsets from Fuzzy Data with a Generic Algorithm.
Proceedings of the Foundations and Tools for Neural Modeling, 1999

A Fuzzy Measure of Similarity for Instance-Based Learning.
Proceedings of the Foundations of Intelligent Systems, 11th International Symposium, 1999

1998
Deriving Fuzzy Subsethood Measures from Violations of the Implication between Elements.
Proceedings of the Methodology and Tools in Knowledge-Based Systems, 1998

1995
SHAPE: a machine learning system from examples.
Int. J. Hum. Comput. Stud., 1995


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