From 93f75e97685520cdad3afab0134e2f65e5e211e2 Mon Sep 17 00:00:00 2001 From: Marshall Lochbaum Date: Tue, 21 Jul 2020 19:48:24 -0400 Subject: =?UTF-8?q?Add=20Insert=20(=CB=9D)=201-modifier?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- docs/doc/transpose.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'docs/doc/transpose.html') diff --git a/docs/doc/transpose.html b/docs/doc/transpose.html index 3b5af23b..93e5da73 100644 --- a/docs/doc/transpose.html +++ b/docs/doc/transpose.html @@ -3,7 +3,7 @@

Transpose

As in APL, Transpose (⍉) is a tool for rearranging the axes of an array. BQN's version is tweaked to align better with the leading axis model and make common operations easier.

Monadic Transpose

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Transposing a matrix exchanges its axes, mirroring it across the diagonal. APL extends the function to any rank by reversing all axes, but this generalization isn't very natural and is almost never used. The main reason for it is to maintain the equivalence a MP b ←→ a MP⌾⍉ b, where MP ← (+´<˘)∘×⎉1‿∞ is the generalized matrix product. But even here APL's Transpose is suspect. It does much more work than it needs to, as we'll see.

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Transposing a matrix exchanges its axes, mirroring it across the diagonal. APL extends the function to any rank by reversing all axes, but this generalization isn't very natural and is almost never used. The main reason for it is to maintain the equivalence a MP b ←→ a MP⌾⍉ b, where MP ← +˝∘×⎉1‿∞ is the generalized matrix product. But even here APL's Transpose is suspect. It does much more work than it needs to, as we'll see.

BQN's transpose takes the first axis of its argument and moves it to the end.

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