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Most importantly, the interface is now based on Qt, which allowed us develop native versions for Linux, MacOS, and Windows. This version of TeXmacs consolidates many developments that took place in the last decade. Item posted by Joris van der Hoeven on Wed 12:48:33 PM UTC. Constructing reductions for creative telescoping, Preprint, 2017 (). Journal of Symbolic Computation, 2017 ().

Reduction-based Creative Telescoping for Fuchsian D-finite Functions. Shaoshi Chen, Mark van Hoeij, Manuel Kauers, Christoph Koutschan. Reduction-Based Creative Telescoping for Algebraic Functions. Shaoshi Chen, Manuel Kauers, Christoph Koutschan. New bounds for creative telescoping.Īlin Bostan, Luis Dumont, and Bruno Salvy.Įfficient algorithms for mixed creative telescoping, Shaoshi Chen, Hui Huang, Manuel Kauers, Ziming Li.Ī Modified Abramov-Petkovsek Reduction and Creative Telescoping for Hypergeometric Terms. Hermite Reduction and Creative Telescoping for Hyperexponential Functions.

351-386, 2017.Īlin Bostan, Shaoshi Chen, Frédéric Chyzak, Ziming Li, Guoce Xin. 203–210, ACM Press, 2010.Īlin Bostan, Pierre Lairez, and Bruno Salvy.Ĭreative telescoping for rational functions using the Griffiths-Dwork method. This approach has been formulated for many cases (the list may not be complete):Īlin Bostan, Shaoshi Chen, Frédéric Chyzak, Ziming Li.Ĭomplexity of Creative Telescoping for Bivariate Rational Functions. Telescopers, and in some applications, for instance when an integral has natural boundaries, only the telescoper is of interest. This is interesting because certificates tend to be much larger than In recent years, a reduction-based approach has become popular which has the feature that it can find a telescoper without also constructing the corresponding certificate. For given integrands and summands, c reative telescoping is amount to constructing linear operators of special kind, which are called telescopers.

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It is shown how the development of a language with reduced redundancy increases the beauty of code appearance.Ĭreative telescoping is the method of choice for obtaining information about definite sums or integrals, which was popularized by Zeilberger in the early 1990s. The following paper introduces the programming language ŞäferTeX as a user interface to the TeX typesetting engine. Transitions from one type of text to another are automatically detected, with the effect that environments do not have to be bracketed explicitly. Characters such as ‘_’ and ‘$’ do not have to be backslashed. A minimized frame of ‘paradigms’ spans a space of possible typesetting commands. Using indentation, empty lines and a few triggers allows one to express interruption, scope, listed items, etc. The primary goal of ŞäferTeX is to make the typesetting source code as close as possible to human-readable text, to which we have been accustomed over the last few centuries.

The system introduced in this paper, however, is radical in its targetting of optimized code appearance. Front-ends such as TeXmacs follow the visual/graphical approach to facilitate the coding of documents. Many tools have been developed over the years simplifying and extending the TeX interface, such as LaTeX, LaTeX3, pdfTeX, and NTS. While TeX provides high quality typesetting features, its usability suffers due to its macro-based command language.

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TeXmacs also supports the Guile/Scheme extension language, so that you may customize the interface and write your own extensions to the editor.In our demonstration, we plan to show briefly how to edit mathematical texts with TeXmacs, how to use computer algebra systems, and how to add interfaces with new systems in a very efficient way. Currently, there are interfaces with Axiom, Giac, GNUplot, Graphviz, Gtybalt, Macaulay2, Maxima, Mupad, GNU Octave, Pari, Qcl, GNU R, Reduce, Scilab and Yacas. The program implements high-quality typesetting algorithms and TEX fonts, which allow the user to produce professionally looking documents.The high typesetting quality still goes through for automatically generated formulae, which makes TeXmacs suitable as an interface for computer algebra systems, or other types of 'plugins'. The editor allows you to write structured documents via a wysiwyg (what-you-see-is-what-you-get) and user friendly interface.

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GNU TeXmacs is a free software, which can both be used as a scientific text editor and as a front-end for computer algebra systems.