If you made any changes in Pure these will be visible here soon.

Research Output 1979 2020

Article

"According to Abramowitz and Stegun", or arcoth needn't be uncouth

Corless, R. M., Davenport, J. H., Jeffrey, D. J. & Watt, S. M., 2000, In : SIGSAM Bulletin. 34, p. 58-65 8 p.

Research output: Contribution to journalArticle

34 Downloads (Pure)
File
Algebra
equality
Linear algebra
equivalence
speaking
6 Citations (Scopus)
114 Downloads (Pure)

Algebraic properties of the Lambert W Function from a result of Rosenlicht and of Liouville

Bronstein, M., Corless, R. M., Davenport, J. H. & Jeffrey, D. J., 2008, In : Integral Transforms and Special Functions. 19, 10, p. 709-712 4 p.

Research output: Contribution to journalArticle

Open Access
File
Elementary Functions
Theorem

An Analysis of Introductory Programming Courses at UK Universities

Murphy, E., Crick, T. & Davenport, J. H., 1 Apr 2017, In : The Art, Science, and Engineering of Programming. 1, 2, 23 p., 18.

Research output: Contribution to journalArticle

Open Access
programming
computer science
university
programming language
New Zealand

An application of factoring

Coppersmith, D. & Davenport, J. H., 1985, In : Journal of Symbolic Computation. 1, p. 241-243 3 p.

Research output: Contribution to journalArticle

Anatomy of an integral

Davenport, J. H., 1979, In : SIGSAM Bulletin. 13, 4, p. 16-18 3 p.

Research output: Contribution to journalArticle

A remark on a paper by Wang: another surprising property of 42

Abbott, J. A. & Davenport, J., Oct 1988, In : Mathematics of Computation. 51, 184, p. 837-839

Research output: Contribution to journalArticle

A remark on factorisation

Abbott, J. A., Bradford, R. J. & Davenport, J., May 1985, In : SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation). 19, 2, p. 31-33

Research output: Contribution to journalArticle

10 Citations (Scopus)
59 Downloads (Pure)

A repository for CAD Examples

Bradford, R., Davenport, J. & Wilson, D., Jan 2013, In : ACM Communications in Computer Algebra. 46, 3, p. 67-69 2 p.

Research output: Contribution to journalArticle

Open Access
File
Quantifier Elimination
Repository
Computer aided design
Projection Operator
Maple

Barton and Fitch Revisited

Carette, J., Davenport, J. & Fitch, J., 2009, (Unpublished) In : EPRINTS-JOURNAL.

Research output: Contribution to journalArticle

Computer Algebra
Hardware
Software
3 Citations (Scopus)
68 Downloads (Pure)

Branch Cuts in Maple 17

England, M., Cheb-Terrab, E., Bradford, R., Davenport, J. & Wilson, D., 2013, In : ACM Communications in Computer Algebra. 48, 1, p. 24-27 4 p.

Research output: Contribution to journalArticle

Open Access
File
Maple
Branch
Multivalued Functions
Square root
Logarithm
6 Citations (Scopus)

Computing the real solutions of polynomial systems with the RegularChains library in Maple

Chen, C., Davenport, J. H., Lemaire, F., Maza, M. M., Xia, B., Xiao, R. & Xie, Y., Sep 2011, In : ACM Communications in Computer Algebra. 45, 3-4, p. 166-168 3 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Computing with semi-algebraic sets: Relaxation techniques and effective boundaries

Chen, C., Davenport, J. H., Moreno Maza, M., Xia, B. & Xiao, R., May 2012, In : Journal of Symbolic Computation. 52, p. 72-96 25 p.

Research output: Contribution to journalArticle

Semi-algebraic Sets
Decomposition
Decompose
Real Roots
Computing
13 Citations (Scopus)
85 Downloads (Pure)

Cylindrical algebraic sub-decompositions

Wilson, D., Bradford, R., Davenport, J. H. & England, M., 13 Jun 2014, In : Mathematics in Computer Science. 8, 2, p. 263-288 26 p.

Research output: Contribution to journalArticle

Open Access
Decomposition
Decompose
Real Algebraic Geometry
Truth table
Semi-algebraic Sets
8 Citations (Scopus)

Equality in computer algebra and beyond

Davenport, J. H., 2002, In : Journal of Symbolic Computation. 34, 4, p. 259-270 12 p.

Research output: Contribution to journalArticle

Computer Algebra
Algebra
Equality
Mathematical reasoning
Computer algebra system
3 Citations (Scopus)

Experience with heuristics, benchmarks & standards for cylindrical algebraic decomposition

England, M. & Davenport, J. H., 2016, In : CEUR Workshop Proceedings. 1804, p. 24-31 8 p.

Research output: Contribution to journalArticle

Decomposition
Algebra

How EU data protection law could interfere with targeted ads

Davenport, J., 23 Jun 2015, The Conversation.

Research output: Contribution to specialist publicationArticle

Open Access
data protection
EU member state
EU
Law

Identifying the parametric occurrence of multiple steady states for some biological networks

Bradford, R., Davenport, J. H., England, M., Errami, H., Gerdt, V., Grigoriev, D., Hoyt, C., Košta, M., Radulescu, O., Sturm, T. & Weber, A., 15 Jul 2019, In : Journal of Symbolic Computation. 98, p. 84-119 36 p.

Research output: Contribution to journalArticle

106 Downloads (Pure)
File
programming
mathematics
Teaching
computer scientist
student

OpenMath 2014 preface

Davenport, J. H., Jul 2014, In : CEUR Workshop Proceedings. 1186

Research output: Contribution to journalArticle

Polynomials whose powers are sparse

Coppersmith, D. & Davenport, J. H., 1991, In : Acta Arithmetica. 58, 1, p. 79-87 9 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Reasoning about the elementary functions of complex analysis

Bradford, R., Corless, R. M., Davenport, J. H., Jeffrey, D. J. & Watt, S. M., 1 Nov 2002, In : Annals of Mathematics and Artificial Intelligence. 36, 3, p. 303-318 16 p.

Research output: Contribution to journalArticle

Theorem proving
Elementary Functions
Complex Analysis
Artificial intelligence
Reasoning
5 Downloads (Pure)

Regular cylindrical algebraic decomposition

Davenport, J., Locatelli, A. & Sankaran, G., 29 Jul 2019, In : Journal of the London Mathematical Society.

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
92 Downloads (Pure)

Satisfiability checking and symbolic computation

Ábrahám, E., Abbott, J., Becker, B., Bigatti, A. M., Brain, M., Buchberger, B., Cimatti, A., Davenport, J. H., England, M., Fontaine, P., Forrest, S., Griggio, A., Kroening, D., Seiler, W. M. & Sturm, T., 1 Dec 2016, In : ACM Communications in Computer Algebra. 50, 4, p. 145-147 3 p.

Research output: Contribution to journalArticle

Open Access
File
Symbolic Computation
Decision Procedures
Interaction
Community
88 Downloads (Pure)

Small algorithms for small systems

Davenport, J. H., Mar 2012, In : ACM Communications in Computer Algebra. 46, 1-2, p. 1-9 9 p.

Research output: Contribution to journalArticle

Open Access
File
Surface mount technology
Algebra
Decomposition
Glossaries
1 Citation (Scopus)

Solving computational problems in real algebra/geometry

Davenport, J. H., 2015, In : Annales Mathematicae et Informaticae. 44, p. 35-46 12 p.

Research output: Contribution to journalArticle

Algebra
Geometry

Table Errata --- Abramowitz & Stegun

Davenport, J. H., 2002, In : Mathematics of Computation (MCOM). p. 1801 1 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Testing elementary function identities using CAD

Beaumont, J. C., Bradford, R. J., Davenport, J. H. & Phisanbut, N., 1 Dec 2007, In : Applicable Algebra in Engineering Communication and Computing. 18, 6, p. 513-543 31 p.

Research output: Contribution to journalArticle

Elementary Functions
Computer aided design
Single valued
Argand diagram
Testing
6 Citations (Scopus)
97 Downloads (Pure)

The Challenges of Multivalued "Functions"

Davenport, J., Jul 2010, In : Lecture Notes in Computer Science. 6167, p. 1-12 12 p.

Research output: Contribution to journalArticle

File
Multivalued Functions
Inverse function
Single valued
Symbolic Computation
Convert
61 Downloads (Pure)

The debate about "algorithms"

Davenport, J. H., 12 Aug 2017, In : Mathematics Today. August, p. 162-165

Research output: Contribution to journalArticle

Open Access
File
parliament
bail
science
anger
flight
3 Citations (Scopus)
103 Downloads (Pure)

The freedom to extend OpenMath and its utility

Davenport, J. H. & Libbrecht, P., Dec 2008, In : Mathematics in Computer Science. 2, 2, p. 379-398 20 p.

Research output: Contribution to journalArticle

File
Glossaries
Semantics
Maximise
Presentation
Object
26 Citations (Scopus)

Triangular decomposition of semi-algebraic systems

Chen, C., Davenport, J. H., May, J. P., Moreno Maza, M., Xia, B. & Xiao, R., Feb 2013, In : Journal of Symbolic Computation. 49, p. 3-26 24 p.

Research output: Contribution to journalArticle

Triangular
Decomposition
Decompose
Polynomial Systems
Exponential time
19 Citations (Scopus)
58 Downloads (Pure)

Truth table invariant cylindrical algebraic decomposition

Bradford, R., Davenport, J. H., England, M., McCallum, S. & Wilson, D., 1 Sep 2016, In : Journal of Symbolic Computation. 76, p. 1-35 35 p.

Research output: Contribution to journalArticle

Open Access
Truth table
Projection Operator
Decomposition
Decompose
Invariant
3 Citations (Scopus)

Using Machine Learning to Improve Cylindrical Algebraic Decomposition

Huang, Z., England, M., Wilson, D., Bridge, J., Davenport, J. & Paulson, L., 1 Dec 2019, In : Mathematics in Computer Science. 13, 4, p. 461-488 28 p.

Research output: Contribution to journalArticle

Open Access
24 Downloads (Pure)
File
Notation
Thing
Book

Intelligent Computer Mathematics - 18th Symposium, Calculemus 2011 and 10th International Conference, MKM 2011, Proceedings

Davenport, J. H. (ed.), Farmer, W. (ed.), Urban, J. (ed.) & Rabe, F. (ed.), 2011, Heidelberg: Springer. (Lecture Notes in Computer Science)

Research output: Book/ReportBook

mathematics
artificial intelligence
knowledge management
deduction
event

Mathematical Knowledge Management: 2nd International Conference, MKM 2003, Bertorino, Italy: Proceedings

Asperti, A. (ed.), Buchberger, B. (ed.) & Davenport, J. H. (ed.), 2003, Berlin: Springer. (Lecture Notes in Computer Science; vol. 2594)

Research output: Book/ReportBook

On the Integration of Algebraic Functions

Davenport, J. H., 1981, Berlin, Germany: Springer. (Lecture Notes in Computer Science; vol. 102)

Research output: Book/ReportBook

Chapter

A geometric algebra system

Bowyer, A., Davenport, J. H., Milne, P. S., Padget, J. A. & Wallis, A. F., 1989, Geometric Reasoning. Woodwark, J. R. (ed.). Oxford, UK: Clarendon Press, p. 1-30 30 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

AISC Meets Natural Typography

Davenport, J. H., 2008, Intelligent Computer Mathematics: Proc. AISC/Calculemus/MKM 2008. Autexier, S., Campbell, J., Rubio, J., Sorge, V., Suzuki, M. & Wiedijk, F. (eds.). Berlin, Heidelberg: Springer, Vol. 5144. p. 53-60 8 p. (Lecture Notes in Computer Science).

Research output: Chapter in Book/Report/Conference proceedingChapter

Artificial intelligence

An overview of computer algebra

Cohen, A. M., Davenport, J. H. & Heck, A. J. P., 1993, Computer Algebra in Industry: Problem Solving in Practice: Proceedings of the 1991 SCAFI Seminar at CWI, Amsterdam. Cohen, A. M. (ed.). Chichester, UK: John Wiley, p. 1-52 52 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

20 Citations (Scopus)
72 Downloads (Pure)

Applying machine learning to the problem of choosing a heuristic to select the variable ordering for cylindrical algebraic decomposition

Huang, Z., England, M., Wilson, D., Davenport, J. H., Paulson, L. & Bridge, J., 2014, Intelligent Computer Mathematics. Watt, S. M., Davenport, J. H., Sexton, A. P., Sojka, P. & Urban, J. (eds.). Springer, Vol. 8543. p. 92-107 16 p. (Lecture Notes in Artificial Intelligence).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
Learning systems
Decomposition
Computational geometry
Support vector machines
6 Citations (Scopus)

Better simplification of elementary functions through power series

Beaumont, J., Bradford, R. & Davenport, J. H., 2003, ISSAC '03 Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2003 . New York, U. S. A.: Association for Computing Machinery, p. 30-36 7 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)
90 Downloads (Pure)

Complexity of integration, special values, and recent developments

Davenport, J., Jul 2016, Mathematical Software - ICMS 2016: 5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings. Greuel, G-M., Koch, T., Paule, P. & Sommese, A. (eds.). Springer Verlag, p. 485-491 (Lecture Notes in Computer Science; vol. 9725).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
Values
literature

Computer algebra approaches to enzyme kinetics

Bennett, J. P., Davenport, J. H., Dewar, M. C., Fisher, D. L., Grinfeld, M. & Sauro, H., 1991, Algebraic Computing in Control: Proceedings of the First European Conference Paris, March 13–15, 1991. Jacob, G. & Lamnabhi-Lagarrigue, F. (eds.). Berlin, Germany: Springer, p. 23-30 8 p. (Lecture Notes in Control and Information Sciences; vol. 165).

Research output: Chapter in Book/Report/Conference proceedingChapter

Copyright issues for MKM

Adams, A. A. & Davenport, J. H., 2004, Mathematical Knowledge Management: 3rd International Conference, MKM 2004: Proceedings. Berlin, Germany: Springer, p. 1-16 16 p. (Lecture Notes in Computer Science; vol. 3119).

Research output: Chapter in Book/Report/Conference proceedingChapter

knowledge management
Law
economics
83 Downloads (Pure)

Cryptographic hash functions: recent design trends and security notions

Al-Kuwari, S., Davenport, J. H. & Bradford, R. J., 2010, Short Paper Proceedings of 6th China International Conference on Information Security and Cryptology (Inscrypt '10). Science Press of China, p. 133-150 18 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

File
Hash functions

Effective Set Membership in Computer Algebra and Beyond

Davenport, J. H., 2008, Intelligent Computer Mathematics: Proc. AISC/Calculemus/MKM 2008. Autexier, S., Campbell, J., Rubio, J., Sorge, V., Suzuki, M. & Wiedijk, F. (eds.). Berlin, Heidelberg: Springer, Vol. 5144. p. 266-280 15 p. (Lecture Notes in Computer Science).

Research output: Chapter in Book/Report/Conference proceedingChapter

Computer Algebra
Integral Means
Computer algebra system
Gröbner Basis
Calculus

Factorisation of polynomials: old ideas and recent results

Abbott, J. A., Bradford, R. J. & Davenport, J., 1988, Proceedings of the International Symposium on Trends in Computer Algebra . Rainer, J. (ed.). London, UK: Springer, p. 81-91

Research output: Chapter in Book/Report/Conference proceedingChapter