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ahsan [2021/07/08 03:25] – Administratorahsan [2023/02/19 08:05] (current) – Dr. Atiq ur Rehman
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 **Dr. Muhammad Ahsan Binyamin**\\ **Dr. Muhammad Ahsan Binyamin**\\
 Associate Professor\\ Associate Professor\\
-Government College University Faisalabad, Faisalabad - PAKISTAN.+Government College University Faisalabad, Faisalabad - PAKISTAN.\\
  
 Google Scholar: https://scholar.google.com.pk/citations?user=PJQDQy0AAAAJ&hl=en \\ Google Scholar: https://scholar.google.com.pk/citations?user=PJQDQy0AAAAJ&hl=en \\
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 </callout> </callout>
 +
 +====Compute Codimension and Milnor number====
 +A file named "ProcedureKsimPle.txt" containing the code can be downloaded from a link given below.
 +
 +  * [[mathcity>files/ahsan/ProcedureKsimPle.txt|Download Code in TXT file]]
 +
 +==== Classify Map Germs 2====
 +**OVERVIEW:**
 + A library for computing the standard basis of the tangent space at the orbit
 + of an algebraic group action. The tangent space is usually described as the sum
 + of two modules over different rings. It computes the standard basis using
 + modular methods and parallel modular methods. It also computes the normal form
 + of the germ given by Riegers classification.
 +
 +  * [[mathcity>files/ahsan/classifyMapGerms2.txt|Download Code in TXT file]]
 +
 +==== Corank 1 Map Germs From the Plane to the Space ====
 +**LIBRARY:** Recognition of Corank 1 Map Germs from the plane to space by invariants 
 +
 +**OVERVIEW:** A library for characterization of the classification of corank 1 map germs interms of certain invariants. These germs were classified by Mond with respect to right left equivalence.
 +
 +  * [[mathcity>files/ahsan/Proc-classifycoRanK1Maps.txt|Download Code in TXT file]]
 +
 +==== Proc-Classify Plane Maps ====
 +**USAGE:**
 +classifyPlaneMaps1(I);  I=an ideal with 2 generators in a polynomial ring with 2 variables and local ordering defining a map germ C^2 to C^2
 +
 +  * [[mathcity>files/ahsan/Proc-classifyPlaneMaps1.txt|Download Code in TXT file]]
 +
 ==== Classify Map Germs ==== ==== Classify Map Germs ====
-*Overview*: OVERVIEW:+**OVERVIEW:**
  A library for computing the standard basis of the tangent space at the orbit  A library for computing the standard basis of the tangent space at the orbit
  of an algebraic group action. The tangent space is usually described as the sum  of an algebraic group action. The tangent space is usually described as the sum