Description Usage Arguments Details Value References See Also Examples

This functions tests if a given set with given operations is a biquandle (or quandle), or not.

1 |

`k` |
Order of set, a positive integer. |

`return_result` |
This variable specifies if the results of the tests should be returned (as a list, if TRUE) or if the result of the tests should be printed to the screen (if FALSE, the default). |

The test requires the user to define their own up and down actions. The different tests confirm two facts, namely, the bijectivity of the two functions f, g is considered, as well as the bijectivity of the switch map S, via their permutations. Furthermore, via the Yang-Baxter Check, it confirm whether the Yang-Baxter equation holds for the given up and down functions or not.

A vector with 4 boolean entries for the permutation tests for S, f and g, respectively as well as a check that Yang-Baxter holds.

add in thesis.

1 2 3 4 5 | ```
###Using the provided up/down action functions.
S_test(3)
##Output:
"The permutation checks hold that S is TRUE, f is TRUE
and g is TRUE and that the Yang-Baxter check holds TRUE."
``` |

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