User:D.Lazard
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Wikipedia:Babel  


 
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Main contributions[edit]
This list, aimed to summarize my main contributions to Wikipedia, was started on September 2017, 8. As I am editing since may 2010, it will take some time before it will be reasonably complete. For some time, I'll add old entries only when I'll come back to them for any reason.
Article  Date  Diff  Edit summary  Comments 

System of polynomial equations  May 2010  Article created  My initial contributions still represents 75% of the article  
Hilbert series and Hilbert polynomial  December 2011  Moved and largely expanded  Emphasis on Hilbert series Simple presentation of dimension and degree theory  
Algebraic geometry  December 2011 to January 2012  Rewriting lead + clarifying and expanding basic notions (classical algebraic geometry) + adding computational geometry and real algebraic geometry  Previous version gave a undue weight to scheme theory and generalizations  
Dimension of an algebraic variety  December 2011 to January 2014  [1]  12 equivalent definitions, distinguishing affine and projective cases, real dimension, methods of computation  Previously, only the definition as the degree of transcendence of the function field (6 lines of text in the whole article) 
Polynomial greatest common divisor  April 2012 to September 2012  Moving + Adding modern methods  The previous version described the state of the art before the computer era  
Algebra  February 2013  Clarifying the definition (various meanings)  Previously, confusion with the old meaning of "theory of equations" + old fashioned distinction between algebra and abstract algebra  
Resultant  September 2012 to November 2016  Largely expanding. Adding homogeneous resultant, Macaulay's resultant, Uresultant  Size multiplied by 5  
Algebraic curve  October 2012  Adding the classical elementary study  This was completely lacking in WP  
Factorization of polynomials  September 2014  Introduction of the modern methods and their general strategy  
Finite field  September 2014  Modern presentation  Previous version was focused on operation tables  
0.999...  August 2017  Lead for defining the subject to the article Creating section "Elementary proof" 
Motivate for clarifying an endless discussion on the talk page  
Surface (mathematics)  April 2016 and May 2016  Writing this article from scratch  Was a redirect to a dab page  
Hilbert's syzygy theorem  July 2016 to November 2016  [2]  From short stub to Bclass  
Decimal  August 2017  Emphasis on finite decimals  Motivated by a discussion on Talk:0.999...  
Gaussian integer  September 2017  Expanding, less technical and linking to related articles  
Primary decomposition  September 2017  Adding various examples  The article deserve to be restructured  
Computational complexity  September 8, 2017  Creating as a broadconcept article  Was a dab, not convenient, as none of the links covers the concept for a nonspecialist, who does not care of the distinction between complexity theory, analysis of algorithms and their practical implications  
Computational complexity  December 2017  Expanding to Cclass  
Euclidean division  Moving from "Division algorithm"  This term was unknown in WP  
Gröbner basis  Adding section "Properties and use"+ More accurate wording  Still deserves a better description of the theory  
Symbolic computation  Moved to Computer algebra  Not finished  
Hypersurface  November 2017  Splitting the manifold and the variety case + expanding the algebraic case  
Zeros and poles  January 15, 2018  New article resulting of the merge of Zero (complex analysis) and Pole (complex analysis)  Expanding it and emphasizing on the symmetry between zeros and poles  
Linear differential equation  February 6, 2018  [3]  Was a mess. Complete rewrite  Added a section on holonomic functions 
Matrix multiplication  February 2018  [4]  Major revision  Cclass > Bclass 
Factorization  March 2018  [5]  Few true additions, except distinguishing factorization of polynomials and factorization of expressions  Was written in a confusing style that pretended to be elementary 
Multihomogeneous Bézout theorem  March 27, 2018  [6]  Creating stub and redirects from Multiprojective variety and Multihomogeneous polynomial  Linked to from projective variety and Homogeneous polynomial 
Vandermonde matrix  March 2018  [7]  Providing 3 proofs + cleaning up  
Surface  April 6, 2016 and March 3, 2018  I did not really edited, but started the two move discussions that have led to this article  First discussion and second discussion  
Function (mathematics)  April 2018  [8]  Complete rewrite  
Homomorphism  January 2017  [9]  Clarifying the relationships epimorphism–surjection, and monomorphism–injection  Also restructuring and expanding 
Vector (mathematics and physics)  September 2017  [10]  From a WP:SIA (indiscriminate list of items) to a WP:Broadconcept article  
Basis (linear algebra)  October 2018  [11]  Complete rewriting of the main sections of the article  The incitation was a remark in the talk page that the section "change of basis" was a mess 
Sturm's theorem  November 2018  [12]  Restructuring, adding context, removing outofscope section "history"  
Budan's theorem  November 2018  [13]  Major rewrite  
Vincent's theorem  December 2018  [14]  Redirected to a section in Realroot isolation  Had multiple issues: wP:COI,, WP:NPOV 
Realroot isolation  December 2018  [15]  New article  Update and expands both Vincent's theorem and Rootfinding algorithm#Roots of polynomials 
Rootfinding algorithm  December 2018  [16]  Rewrite and update § Roots of polynomials  Includes {{mainRealroot isolation}} 
Curvature  October 2019  [17]  Rewrite the part on curves  Motivated by bad tentative by a crank for fixing true weaknesses of this article 
Curve  May 2019  [18]  Clarification of the difference between classes of curves, and giving them their correct weight per WP:NPOV  
Euclidean space  September 2019  [19]  Previous version was a mess  Aimed for clarifying common misconceptions occurring in many Wikipedia articles, such that "a Euclidean space is a vector space" 
Cubic function  September 2019  [20]  Splitting out Cubic Equation and adding cubic interpolation  
Cubic equation  September 2019  [21]  Splitted out from Cubic function  Widely rewritten for an encyclopedic tone 
To do[edit]
Article  Date  Edit summary  Comments 

Rootfinding algorithm  September 2017  Rewriting section on polynomials  WP:TECHNICAL and WP:NPOV 