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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





