Talk:Outer Product: Difference between revisions

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Revision as of 01:49, 29 June 2023 (view source) ⊂⍺m (talk \| contribs) (Clarification of Iverson’s quote relating outer product to inner product. Copied from my personal “Talk” page since I accidentally started it there.) Tags: Mobile edit Mobile web edit		Latest revision as of 01:09, 10 July 2023 (view source) ⊂⍺m (talk \| contribs) m (Heading) Tags: Mobile edit Mobile web edit
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			== Context for the Falkoff/Iverson quote ==
	The Falkoff/Iverson quote, while providing illuminating historical context, is a bit misleading—the reduction in inner product does not collapse any axes relative to the result shape, as it is applied only within each enclosure/box of the outer product. Rather, in <syntaxhighlight lang=apl inline>‪f/¨ (⊂[⍴⍴x]x)∘.g ⊂[1]y‬</syntaxhighlight> the enclosure of one axis of each argument, prior to the outer product operation, is responsible for the collapsing of dimensions.		The Falkoff/Iverson quote, while providing illuminating historical context, is a bit misleading—the reduction in inner product does not collapse any axes relative to the result shape, as it is applied only within each enclosure/box of the outer product. Rather, in <syntaxhighlight lang=apl inline>‪f/¨ (⊂[⍴⍴x]x)∘.g ⊂[1]y‬</syntaxhighlight> the enclosure of one axis of each argument, prior to the outer product operation, is responsible for the collapsing of dimensions.