A cwatset is a set of words in Binary numeral system n-space which is closed with a twist. That is, for each element c in a cwatset C, there exists some permutation p which, when applied to the results of c+C, results in C. Thus, all Group (mathematics) of binary words closed under Bitwise operation addition are cwatsets whose permutation is the identity permutation. One non-group example of a cwatset is F = {000,110,101}. Note that F + 000 = F F + 110 = {110,011,011} = F with the first two components of each word transposed. F + 101 = {101,011,000} = F with the first and third component of each word transposed. ''See also'' GC-set
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Words begining with Cwatset:
Cwatset
Cwatset
A cwatset is a set of words in Binary numeral system n-space which is closed with a twist. That is, for each element c in a cwatset C, there exists some permutation p which, when applied to the results of c+C, results in C. Thus, all Group (mathematics) of binary words closed under Bitwise operation addition are cwatsets whose permutation is the identity permutation. One non-group example of a cwatset is F = {000,110,101}. Note that F + 000 = F F + 110 = {110,011,011} = F with the first two components of each word transposed. F + 101 = {101,011,000} = F with the first and third component of each word transposed. ''See also'' GC-set
See other meanings of words starting from letter:
C
CA | CB | CD | CE | CF | CG | CH | CI | CJ | CK | CL | CM | CN | CO | CP | CR | CS | CT | CU | CW | CX | CY | CZ |Words begining with Cwatset:
Cwatset
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