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| author | Marshall Lochbaum <mwlochbaum@gmail.com> | 2021-02-11 15:19:25 -0500 |
|---|---|---|
| committer | Marshall Lochbaum <mwlochbaum@gmail.com> | 2021-02-11 15:31:24 -0500 |
| commit | f4d45e6721784c23419045b0ec496d8460efc871 (patch) | |
| tree | 3e1eeddabbd352c6f4fb2be88db5badfd6a081e2 /spec | |
| parent | ae8d0791777e9ff3e43569089ddd446b666ac626 (diff) | |
Dyadic scan inverse
Diffstat (limited to 'spec')
| -rw-r--r-- | spec/inferred.md | 5 |
1 files changed, 4 insertions, 1 deletions
diff --git a/spec/inferred.md b/spec/inferred.md index 37e1ae97..8d5693a6 100644 --- a/spec/inferred.md +++ b/spec/inferred.md @@ -142,7 +142,6 @@ Inverses of other modifiers and derived functions or modifiers obtained from the | `Β¨` | `{!0<β‘π©βπ¨π½βΌΒ¨π©}` | | `β` | `{!0<β‘π©β π½βΌβπ©;}` | Monadic case only | `Λ` | `{!0<=π©βπ¨π½βΌΛπ©}` | -| `` ` `` | `{!0<=π©β(ββΎΒ―1βΈβπ½βΌΒ¨1βΈβ)β(1<β )π©}` | | `FβG` | `{π¨GβΌFβΌπ©}` | | `F G` | | | `Β·F G` | | @@ -157,6 +156,10 @@ Inverses of other modifiers and derived functions or modifiers obtained from the | `kπ½πΎ` | `πΎβΌ{π¨π½πΎπ©}(kπ½βΌβ’)` | Constant `k` | `π½πΎK` | `π½βΌkπΎΛβΌβ’` | Constant `k` +| Mod | Inverse +|---------|--------- +| `` ` `` | `{!0<=π© β π¨ (Β»π½βΌΒ¨β’){(ββΎβπ½1βΈβ)β(1<β )βπ½} π©}` + ## Under The Under 2-modifier `βΎ` conceptually applies its left operand under the action of its right operand. Setting `zβπ¨π½βΎπΎπ©`, it satisfies `(π¨π½βπΎπ©) β‘ πΎz`. We might say that `πΎ` transforms values to a new domain, and `βΎπΎ` lifts actions `π½` performed in this domain to the original domain of values. For example, addition in the logarithmic domain corresponds to multiplication in the linear domain: `+βΎ(ββΌ)` is `Γ` (but less precise if computed in floating point). |
