Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision		 Previous revision
ahsan [2021/04/20 09:32] – Administratorahsan [2023/02/19 08:05] (current) – Dr. Atiq ur Rehman
Line 4: Line 4:
 **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 \\
Line 11: Line 11:
  
 </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 ====
 +**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/classifyMapGerms.txt|Download Code in TXT file]]
  
 ==== Classification of Simple (K^2,0)--->(K^3,0) ==== ==== Classification of Simple (K^2,0)--->(K^3,0) ====