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| author | Marshall Lochbaum <mwlochbaum@gmail.com> | 2022-06-02 22:30:39 -0400 |
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| committer | Marshall Lochbaum <mwlochbaum@gmail.com> | 2022-06-02 22:30:39 -0400 |
| commit | bd8c5efa3a9aa79df09016bfd9c047023e7cf75d (patch) | |
| tree | e5317178e80caa9457ec99e614821f2284a81d5f /doc/join.md | |
| parent | c3ea468236e362e4ecc1bc27aed7a64d90e7cf81 (diff) | |
Editing
Diffstat (limited to 'doc/join.md')
| -rw-r--r-- | doc/join.md | 6 |
1 files changed, 4 insertions, 2 deletions
diff --git a/doc/join.md b/doc/join.md index 656a12db..b687a946 100644 --- a/doc/join.md +++ b/doc/join.md @@ -10,7 +10,7 @@ Join To connects its two arguments together, for example to join two strings: "abcd" ∾ "EFG" -If the arguments have the same rank, then they are combined along the first axis: the result is an array whose major cells are the major cells of `𝕨` followed by the major cells of `𝕩`. For arrays with rank two or more, this means they will be joined "vertically" according to BQN's display. +If the arguments have the same rank, then they are combined along the first axis: the result is an array whose [major cells](array.md#cells) are the major cells of `𝕨` followed by the major cells of `𝕩`. For arrays with rank two or more, this means they will be joined "vertically" according to BQN's [display](arrayrepr.md#array-display). ⊢ a ← 3 +⌜○↕ 4 ⊢ b ← 2‿4 ⥊ ↕8 @@ -42,13 +42,15 @@ To join with a separator in between, we might prepend the separator to each stri 1↓∾' '∾¨"time"‿"to"‿"join"‿"some"‿"words" + ∾1↓⥊(<" * ")≍˘"time"‿"to"‿"join"‿"some"‿"words" + Join also extends the rank of a unit element (including an atom) to allow it to fit into the list. The highest-rank element determines the rank of the result. ∾"abc"‿'d'‿"ef"‿(<'g') ∾"abcd" # Result has to be rank 0, impossible -However, Join has higher-dimensional uses as well. Given a rank-`m` array of rank-`n` arrays (requiring `m≤n`), it will merge arrays along their first `m` axes. For example, if the argument is a matrix of matrices representing a [block matrix](https://en.wikipedia.org/wiki/Block_matrix), Join will give the corresponding unblocked matrix as its result. +Join has higher-dimensional uses as well. Given a rank-`m` array of rank-`n` arrays (requiring `m≤n`), it will merge arrays along their first `m` axes. For example, if the argument is a matrix of matrices representing a [block matrix](https://en.wikipedia.org/wiki/Block_matrix), Join will give the corresponding unblocked matrix as its result. ⊢ m ← (3‿1≍⌜4‿2‿5) ⥊¨ 2‿3⥊↕6 ∾ m # Join all that together |