Tags: Mobile edit Mobile web edit |
Tags: Mobile edit Mobile web edit |
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| 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.
| | == Internship? == |
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| Equivalently from a slightly different angle, if we use the model <syntaxhighlight lang=apl inline>X⊂⍤(f/)⍤g⍤1⍤1 99⊢Y⍉⍨¯1⌽⍳≢⍴Y</syntaxhighlight>, the collapsing of dimensions is due more generally to <syntaxhighlight lang=apl inline>⊂⍤…⍤g⍤1</syntaxhighlight> mapping two vectors to a scalar. Clearly the same holds for <syntaxhighlight lang=apl inline>…⊂⍤g⍤1…</syntaxhighlight>, i.e., the same expression with the reduction removed.
| | Based on your self-description, you might be interested in an internship at Dyalog. If so, then feel free to write an email to careers@dyalog.com — if not, then feel free to ignore, and I won't bother you about it again. |
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| [[User:⊂⍺m|⊂⍺m]] ([[User talk:⊂⍺m|talk]]) 22:45, 25 June 2023 (UTC) ⊂⍺m | | : Yes, I think this would be a great hands-on learning opportunity. Thank you for reaching out with the suggestion, I appreciate it. I will follow up with an email to them shortly and we will see what comes of it. [[User:⊂⍺m|⊂⍺m]] ([[User talk:⊂⍺m|talk]]) 20:15, 21 July 2023 (UTC) |