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Research Output

2014

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
13 Citations (Scopus)
85 Downloads (Pure)
File
128 Downloads (Pure)

Mathematical Massive Open Online Courses (MOOCs): report of a panel at the 2014 ICM

Davenport, J., 2014, Proceedings of the International Congress of Mathematicians (ICM), 2014.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

OpenMath 2014 preface

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

Research output: Contribution to journalArticle

Problem formulation for truth-table invariant cylindrical algebraic decomposition by incremental triangular decomposition

England, M., Bradford, R. J., Chen, C., Davenport, J. H., Moreno Maza, M. & Wilson, D., 2014, Intelligent Computer Mathematics. Watt, S. M., Davenport, J. H., Sexton, A. P., Sojka, P. & Urban, J. (eds.). Springer, p. 45-60 15 p. (Lecture Notes in Artificial Intelligence; vol. 8543).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
16 Citations (Scopus)
105 Downloads (Pure)

Travelling through facebook: Exploring affordances through the Lens of age

Panteli, N., Marder, B., Davenport, J. H. & Nemetz, F., 2014.

Research output: Contribution to conferencePaper

Truth table invariant cylindrical algebraic decomposition by regular chains

Bradford, R., Chen, C., Davenport, J. H., England, M., Moreno Maza, M. & Wilson, D., 2014, Computer Algebra in Scientific Computing: Proceedings of the16th International Workshop, CASC 2014, Warsaw, Poland, September 8-12, 2014. Gerdt, V. P., Koepf, W., Seiler, W. M. & Vorozhtsov, E. V. (eds.). Springer, Vol. 8660. p. 44-58 15 p. (Lecture Notes in Computer Science).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
15 Citations (Scopus)
292 Downloads (Pure)

Using the distribution of cells by dimension in a cylindrical algebraic decomposition

Wilson, D., England, M., Bradford, R. J. & Davenport, J. H., 2014, Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2014 16th International Symposium on. IEEE, p. 53-60 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
7 Citations (Scopus)
113 Downloads (Pure)

Using the regular chains library to build cylindrical algebraic decompositions by projecting and lifting

England, M., Wilson, D., Bradford, R. & Davenport, J. H., 2014, Mathematical Software – ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9, 2014. Proceedings. Hong, H. & Yap, C. (eds.). Springer, p. 458-465 8 p. (Lecture Notes in Computer Science; vol. 8592).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
15 Citations (Scopus)
106 Downloads (Pure)
2013

A "piano movers" problem reformulated

Wilson, D., Davenport, J. H., England, M. & Bradford, R. J., 2013, Proceedings of SYNASC 2013: 15th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. IEEE, p. 53-60 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
14 Citations (Scopus)
62 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
10 Citations (Scopus)
72 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
3 Citations (Scopus)
81 Downloads (Pure)

Cylindrical algebraic decompositions for Boolean combinations

Bradford, R., Davenport, J. H., England, M., McCallum, S. & Wilson, D., 2013, ISSAC '13: Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation. New York: Association for Computing Machinery, p. 125-132

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
10 Citations (Scopus)
104 Downloads (Pure)

Optimising problem formulation for cylindrical algebraic decomposition

Bradford, R., Davenport, J. H., England, M. & Wilson, D., 2013, Intelligent Computer Mathematics: MKM, Calculemus, DML, and Systems and Projects 2013, Held as Part of CICM 2013, Bath, UK, July 8-12, 2013. Proceedings. Carette, J., Aspinall, D., Lange, C., Sojka, P. & Windsteiger, W. (eds.). Berlin: Springer, p. 19-34 15 p. (Lecture Notes in Computer Science; vol. 7961).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
25 Citations (Scopus)
112 Downloads (Pure)

The changing relevance of the TLB

Jones, J., Davenport, J. & Bradford, R., Sep 2013, 2013 12th International Symposium on Distributed Computing and Applications to Business, Engineering & Science (DCABES). Piscataway, NJ: IEEE, p. 110-114 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

File
83 Downloads (Pure)

The Piano Mover's Problem Reformulated

Wilson, D., Bradford, R. J., Davenport, J. H. & England, M., Jun 2013, Bath, U. K.: Department of Computer Science, University of Bath. (Department of Computer Science Technical Report Series ; no. CSBU-2013-03)

Research output: Book/ReportOther report

Open Access
File
25 Downloads (Pure)

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

26 Citations (Scopus)

Understanding branch cuts of expressions

England, M., Bradford, R., Davenport, J. H. & Wilson, D., 2013, Intelligent Computer Mathematics: MKM, Calculemus, DML, and Systems and Projects 2013, Held as Part of CICM 2013, Bath, UK, July 8-12, 2013. Proceedings. Carette, J., Aspinall, D., Lange, C., Sojka, P. & Windsteiger, W. (eds.). Berlin: Springer, p. 136-151 16 p. (Lecture Notes in Computer Science; vol. 7961).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
10 Citations (Scopus)
332 Downloads (Pure)
2012

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

5 Citations (Scopus)

On Kahan's rules for determining branch cuts

Chyzak, F., Davenport, J. H., Koutschan, C. & Salvy, B., 2012, Proc. SYNASC '11. IEEE, 5 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
86 Downloads (Pure)

Order-Invariance of Cylindrical Algebraic Decomposition via Triangular Decomposition

Davenport, J., Bradford, R., England, M. & Wilson, D., 2012, (In preparation).

Research output: Working paper

File
28 Downloads (Pure)

Program Verification in the presence of complex numbers, functions with branch cuts etc

Davenport, J., Bradford, R., England, M. & Wilson, D., 2012, Proceedings of SYNASC 2012: 14th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. Piscataway: IEEE, p. 83-88 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
23 Citations (Scopus)
98 Downloads (Pure)

Program Verification in the presence of complex numbers, functions with branch cuts etc

Davenport, J., 26 Sep 2012.

Research output: Contribution to conferencePaper

Open Access
File
23 Citations (Scopus)
77 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
107 Downloads (Pure)

Speeding up cylindrical algebraic decomposition by Gröebner Bases

Wilson, D. J., Bradford, R. J. & Davenport, J. H., 2012, Intelligent Computer Mathematics. Jeuring, J., Campbell, J. A., Carette, J., Dos Reis, G., Sojka, P., Wenzel, M. & Sorge, V. (eds.). Heidelberg, Vol. 7362. p. 280-294 15 p. (Lecture Notes in Computer Science; vol. 7362).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
9 Citations (Scopus)
79 Downloads (Pure)
2011

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

6 Citations (Scopus)

Computing with semi-algebraic sets represented by triangular decomposition

Chen, C., Davenport, J. H., Moreno Maza, M., Xia, B. & Xiao, R., 2011, ISSAC '11 Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation. New York: Association for Computing Machinery, p. 75-82 8 p. (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
10 Citations (Scopus)
114 Downloads (Pure)

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

2010
File
38 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
95 Downloads (Pure)

Factorization of sparse polynomials or the power of vocabulary

Carette, J. & Davenport, J. H., Jul 2010, (In preparation).

Research output: Contribution to conferencePaper

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
6 Citations (Scopus)
120 Downloads (Pure)

Triangular decomposition of semi-algebraic systems

Chen, C., Davenport, J. H., May, J. P., Maza, M. M., Xia, B. & Xiao, R., 2010, ISSAC '10 Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation , 2010. New York, U. S. A.: Association for Computing Machinery, p. 187-194 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

20 Citations (Scopus)

Using EVS and ResponseWare to Enhance Student Learning and Learning Experience

Cliffe, E., Davenport, J., De Vos, M., Parmar, N. R. & Hayes, A., Aug 2010, (In preparation). 5 p.

Research output: Contribution to conferencePaper

File
39 Downloads (Pure)
2009

A comparison of equality in computer algebra and correctness in mathematical pedagogy

Bradford, R., Davenport, J. H. & Sangwin, C. J., 2009, Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009 Held as Part of CICM 2009, Grand Bend, Canada, July 6-12, 2009. Proceedings. Carette, J., Dixon, L., Sacerdoti Coen, C. & Watt, S. M. (eds.). Berlin: Springer, p. 75-89 15 p. (Lecture Notes in Computer Science; vol. 5625, no. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

File
6 Citations (Scopus)
100 Downloads (Pure)

Barton and Fitch Revisited

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

Research output: Contribution to journalArticle

Certificate-free Attribute Authentication

Khader, D., Chen, L. Q. & Davenport, J. H., 2009, Cryptography and Coding: 12th IMA International Conference, Cryptography and Coding 2009. Proceedings. Parker, M. G. (ed.). Berlin: Springer, p. 301-325 25 p. (Lecture Notes in Computer Science; vol. 5921).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

The sparsity challenges

Davenport, J. H. & Carette, J., 2009, 2009 11th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2009). IEEE, p. 3-7 5 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

The use of an Electronic Voting System to enhance student feedback

Davenport, J., Hayes, A. & Parmar, N. R., 2009. 18 p.

Research output: Contribution to conferencePaper

File
51 Downloads (Pure)

Unifying Math Ontologies: A tale of two standards

Davenport, J. H. & Kohlhase, M., 2009, Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009. Carette, J., Dixon, L., Sacerdoti Coen, C. & Watt, S. M. (eds.). Berlin: Springer, Vol. 5625/2. p. 263-278 16 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

File
4 Citations (Scopus)
104 Downloads (Pure)

User interface design for geometrical decomposition algorithms in Maple

Chen, C., Davenport, J. H., May, J., Moreno Maza, M., Xia, B., Xiao, R. & Xie, Y., 2009. 12 p.

Research output: Contribution to conferencePaper

2008

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

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
6 Citations (Scopus)
130 Downloads (Pure)

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

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
3 Citations (Scopus)
121 Downloads (Pure)

Unit Knowledge Management

Stratford, J. & Davenport, J., 30 May 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, p. 382-397 16 p. (Lecture Notes in Computer Science; vol. 5144, no. 2).

Research output: Chapter in Book/Report/Conference proceedingChapter

File
8 Citations (Scopus)
97 Downloads (Pure)
2007

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

5 Citations (Scopus)

The complexity of quantifier elimination and cylindrical algebraic decomposition

Brown, C. W. & Davenport, J. H., 2007, ISSAC '07 Proceedings of the 2007 international symposium on Symbolic and algebraic computation . New York: Association for Computing Machinery, p. 54-60 7 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

59 Citations (Scopus)

What might "Understand a Function" mean?

Davenport, J., 2007, Towards Mechanized Mathematical Assistants. Kauers, M., Kerber, M., Miner, R. & Windsteiger, W. (eds.). Springer, Vol. 4573. p. 55-65 11 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)
2005

Adherence is Better than Adjacency: Computing the Riemann Index using CAD

Beaumont, J., Bradford, R., Davenport, J. H. & Phisanbut, N., Jul 2005, p. 37--44. 8 p.

Research output: Contribution to conferencePaper

5 Citations (Scopus)