MOS substitution: Difference between revisions

Line 20:

|-

| 1{{pipe}}1

| style="text-align: right;"| <code>sms</code>

| style="text-align: right;" | <code>sms</code>

| colspan="2" style="text-align: right;" | <code>LsLms</code>

| subst 2L(1m1s 1{{pipe}}1)

|-

| 0{{pipe}}2

| style="text-align: right;"| <code>ssm</code>

| style="text-align: right;" | <code>ssm</code>

| colspan="2" style="text-align: right;" | <code>LsLsm</code>

| subst 2L(1m1s 0{{pipe}}2)

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* Function names in sans serif font are scale constructions.

* For integers <math>m, n, \ (m, n) := \gcd(m, n).</math>

* 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'' ≥ 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 {{nowrap|''i'' ≥ 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'''.

@@ Line 20: / Line 20: @@
 |-
 | 1{{pipe}}1
-| style="text-align: right;"| <code>sms</code>
+| style="text-align: right;" | <code>sms</code>
 | colspan="2" style="text-align: right;" | <code>LsLms</code>
 | subst 2L(1m1s 1{{pipe}}1)
 |-
 | 0{{pipe}}2
-| style="text-align: right;"| <code>ssm</code>
+| style="text-align: right;" | <code>ssm</code>
 | colspan="2" style="text-align: right;" | <code>LsLsm</code>
 | subst 2L(1m1s 0{{pipe}}2)
@@ Line 47: / Line 47: @@
 * Function names in sans serif font are scale constructions.
 * For integers <math>m, n, \ (m, n) := \gcd(m, n).</math>
-* 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).
+* 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 {{nowrap|''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'''.