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|Title:||Corner edge cutting and Dixon A-resultant quotients|
Corner edge cutting
Mechanical theorem proving
|Source:||Foo, M.-C., Chionh, E.-W. (2004). Corner edge cutting and Dixon A-resultant quotients. Journal of Symbolic Computation 37 (1) : 101-119. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jsc.2003.06.001|
|Abstract:||The classical Dixon resultant formulation gives the exact A-resultant for the bi-degree rectangular monomial support. But the formulation gives a multiple of the A-resultant when the monomial support is a bi-degree rectangular support with some corner edges removed. Fortunately, here the extraneous factors can be easily identified a priori and the A-resultant can be expressed explicitly as a quotient: the determinant of a Dixon matrix divided by a product of brackets. All proofs in the paper are constructive. One of the proofs is mechanically done by a Maple program. © 2003 Elsevier Ltd. All rights reserved.|
|Source Title:||Journal of Symbolic Computation|
|Appears in Collections:||Staff Publications|
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