By Hoon Hong, Chee Yap (eds.)

ISBN-10: 3662441985

ISBN-13: 9783662441985

ISBN-10: 3662441993

ISBN-13: 9783662441992

This publication constitutes the lawsuits of the 4th foreign convention on Mathematical software program, ICMS 2014, held in Seoul, South Korea, in August 2014. The 108 papers incorporated during this quantity have been rigorously reviewed and chosen from a hundred and fifty submissions. The papers are equipped in topical sections named: invited; exploration; workforce; coding; topology; algebraic; geometry; surfaces; reasoning; targeted; Groebner; triangular; parametric; interfaces and general.

**Read or Download Mathematical Software – ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9, 2014. Proceedings PDF**

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**Additional resources for Mathematical Software – ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9, 2014. Proceedings**

**Example text**

2 Main Components and Key Features The development objective of the Symbolic Computing package is to design and implement a symbolic computing system based on Mathematica that can freely manipulate various mathematical expressions using traditional notations and deferred on-demand evaluation. The package can be used for algebraic manipulation of formulas using symbolic computing and it provides seamless integration with the computing environment of Mathematica. , SCDerivExpand and SCEvalInt. The package function categories include: basic algebra, complex variables, diﬀerential calculus, elementary functions, equation solving, equations, formula manipulation, Fourier analysis, function analysis, integral calculus, operator analysis, polynomials and series, products, sums, trigonometric functions, vectors and matrices.

This is easy to address, but still must be done. The scripts must been rerun by someone who is independent of the formalisation project, to check that everything successfully processes. We call the person performing this role a proof auditor, or auditor for short. Secondly, how do we know that the statement of the ﬁnal theorem means what it is purported to mean? Maybe there is a subtle problem in the statement, or in the deﬁnition of one of the constants used in it, or in the deﬁnition of one of the constants used in one of the deﬁnitions.

2 Note that these concerns apply equally to any mathematics formalisation project. Firstly, has a ﬁnal theorem actually been proved in the theorem prover? Perhaps the proof scripts simply fail to produce a ﬁnal theorem when processed altogether in one session. This is easy to address, but still must be done. The scripts must been rerun by someone who is independent of the formalisation project, to check that everything successfully processes. We call the person performing this role a proof auditor, or auditor for short.

### Mathematical Software – ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9, 2014. Proceedings by Hoon Hong, Chee Yap (eds.)

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