This calculates the Quandle, Rack and Degenerate Homology groups of Racks and Biracks (as well as Quandles and Biquandles). In addition, a test is provided to ascertain if a given set with one or two given functions is indeed a biquandle or not.
Author  Ansgar Wenzel [aut, cre] 
Date of publication  20160502 17:59:48 
Maintainer  Ansgar Wenzel <ansgar.wenzel@gmail.com> 
License  GPL (>= 3) 
Version  1.1.0 
Package repository  View on CRAN 
Installation  Install the latest version of this package by entering the following in R:



All man pages Function index File listing
Man pages  

all_combinations: Calculating all possible permutations  
boundary_matrix: This function calculates a boundary matrix.  
boundary_matrix_degenerate: Calculation of boundary matrix for degenerate Homology.  
boundary_names: Calculation of boundary elements for quandle and rack...  
boundary_names_degenerate: Calculation of degenerate boundary elements for boundary...  
check_f: Check if the function is bijective  
check_more_push: Helper function for Smith Normal Form calculation.  
check_permutations: Check if Switch is bijective.  
check_YB: Check Young Baxter Equation  
degenerate_homology: Calculates the degenerate Homology for a rack/birack.  
down_action: The down action for a birack or biquandle.  
find_S_result: Calculate the Switch  
findX: Calculate the left row action matrix to turn a matrix into...  
GaussianElimination: Calculation of Gaussian Form of a matrix.  
homology: Calculation of quandle and rack homology groups of a rack /...  
matrix_rank: Calculates the rank of a matrix.  
output_results: Function that prints the calculated homology group to the...  
push_down: Helper Function for Smith Normal Form calculation.  
quhomologypackage: Calculation of Homology groups of a rack/birack  
row_space: Row Space of a Matrix.  
rref: Reduced Row Echelon Form of a matrix  
smith: Smith Normal Form of a matrix.  
S_test: Testing of possible quandle/biquandle actions  
up_action: The up action for a birack or biquandle. 
Functions 

Files  

tests
 
tests/testthat.R  
NAMESPACE
 
R
 
R/Stest.R  
R/homology_calculation.R  
R/found_functions.R  
R/boundary_calculations.R  
README.md  
MD5
 
DESCRIPTION
 
man
 
man/all_combinations.Rd  
man/boundary_names.Rd  
man/down_action.Rd  
man/matrix_rank.Rd  
man/output_results.Rd  
man/find_S_result.Rd  
man/quhomologypackage.Rd  
man/boundary_matrix.Rd  
man/check_f.Rd  
man/degenerate_homology.Rd  
man/homology.Rd  
man/rref.Rd  
man/up_action.Rd  
man/check_more_push.Rd  
man/check_permutations.Rd  
man/S_test.Rd  
man/boundary_matrix_degenerate.Rd  
man/boundary_names_degenerate.Rd  
man/findX.Rd  
man/row_space.Rd  
man/GaussianElimination.Rd  
man/push_down.Rd  
man/check_YB.Rd  
man/smith.Rd 
Questions? Problems? Suggestions? Tweet to @rdrrHQ or email at ian@mutexlabs.com.
Please suggest features or report bugs in the GitHub issue tracker.
All documentation is copyright its authors; we didn't write any of that.
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.