Val: Difference between revisions

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== Shorthand notations ==

If we basically always want to use the patent val except for a slight modification to a second-best mapping for a handful of primes, it will be tedious to specify the full val every time~~, so the following shorthand~~ notations ~~are~~ developed to address that.

If we basically always want to use the patent val except for a slight modification to a second-best mapping for a handful of primes, it will be tedious to specify the full val every time. Shorthand notations developed to address that include '''wart notation''' and '''Sparse Offset Val notation''' ('''SOV notation''').

=== Wart notation ===

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=== Sparse Offset Val notation ===

In 2022 [[~~User:Mike Battaglia|~~Mike Battaglia]] proposed ~~'''SOV~~ notation~~'''~~ as a way to be explicit about which primes are being affected and in which direction. In 2024 it was further refined by him and [[Lumi Pakkanen]] to be more analogous to [[Ups and downs notation]].

In 2022 [[Mike Battaglia]] proposed this notation as a way to be explicit about which primes are being affected and in which direction. In 2024 it was further refined by him and [[Lumi Pakkanen]] to be more analogous to [[Ups and downs notation]].

In this notation, patent vals are notated using the number of divisions followed by square brackets e.g. 17[] for {{val| 17 27 39 }}. To indicate a wider mapping for a prime, it is prefixed with a carret (^) e.g. 17[^5] for {{val| 17 27 40 }}. To indicate a narrower mapping for a prime it is prefixed with a vee (v) e.g. 17[v5] for {{val| 17 27 38 }}. The prefixes stack e.g. 17[^^5] corresponds to {{val| 17 27 41 }}. Multiple modifications are separated by commas (and optionally spaces) e.g. 17[v3, ^5] for {{val| 17 26 40 }}.

@@ Line 102: / Line 102: @@
 == Shorthand notations ==
-If we basically always want to use the patent val except for a slight modification to a second-best mapping for a handful of primes, it will be tedious to specify the full val every time, so the following shorthand notations are developed to address that.
+If we basically always want to use the patent val except for a slight modification to a second-best mapping for a handful of primes, it will be tedious to specify the full val every time. Shorthand notations developed to address that include '''wart notation''' and '''Sparse Offset Val notation''' ('''SOV notation''').
 === Wart notation ===
@@ Line 125: / Line 125: @@
 === Sparse Offset Val notation ===
-In 2022 [[User:Mike Battaglia|Mike Battaglia]] proposed '''SOV notation''' as a way to be explicit about which primes are being affected and in which direction. In 2024 it was further refined by him and [[Lumi Pakkanen]] to be more analogous to [[Ups and downs notation]].
+In 2022 [[Mike Battaglia]] proposed this notation as a way to be explicit about which primes are being affected and in which direction. In 2024 it was further refined by him and [[Lumi Pakkanen]] to be more analogous to [[Ups and downs notation]].
 In this notation, patent vals are notated using the number of divisions followed by square brackets e.g. 17[] for {{val| 17 27 39 }}. To indicate a wider mapping for a prime, it is prefixed with a carret (^) e.g. 17[^5] for {{val| 17 27 40 }}. To indicate a narrower mapping for a prime it is prefixed with a vee (v) e.g. 17[v5] for {{val| 17 27 38 }}. The prefixes stack e.g. 17[^^5] corresponds to {{val| 17 27 41 }}. Multiple modifications are separated by commas (and optionally spaces) e.g. 17[v3, ^5] for {{val| 17 26 40 }}.