MOS substitution: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
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* Function names in sans serif font are scale constructions.
* Function names in sans serif font are scale constructions.
* For integers <math>m, n, \ (m, n) := \gcd(m, n).</math>
* For integers <math>m, n, \ (m, n) := \gcd(m, n).</math>
* If ''w'' is a word (in a specific roation) in '''X''' and possibly other letters, and ''u'' is a circular word in a specific modal rotation, then <math>\mathsf{subst}(w, \mathbf{X}, u)</math> denotes the word ''w'' but with the ''i''th occurrence of '''X''' replaced with ''u''[''i''] (for ''i'' &ge; 0).
* If ''w'' is a word (in a specific rotation) in '''X''' and possibly other letters, and ''u'' is a circular word in a specific modal rotation, then <math>\mathsf{subst}(w, \mathbf{X}, u)</math> denotes the word ''w'' but with the ''i''th occurrence of '''X''' replaced with ''u''[''i''] (for ''i'' &ge; 0).
* ''a'''''X'''''b'''''Y'''(''k'') denotes the mode of ''a'''''X'''''b'''''Y''' which would have [[UDP]] notation <math>dk|d(a/d+b/d-1-k)\ (d), \ d = \gcd(a,b)</math> under the assumption '''X''' > '''Y''' > '''0'''.
* ''a'''''X'''''b'''''Y'''(''k'') denotes the mode of ''a'''''X'''''b'''''Y''' which would have [[UDP]] notation <math>dk|d(a/d+b/d-1-k)\ (d), \ d = \gcd(a,b)</math> under the assumption '''X''' > '''Y''' > '''0'''.