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devel / comp.lang.apl / Is f rank (zero infinity) the same as outer product f for arbitrary function f?

SubjectAuthor
* Is f rank (zero infinity) the same as outer product f for arbitraryBrian McGuinness
`* Re: Is f rank (zero infinity) the same as outer product f forElijah Stone
 `- Re: Is f rank (zero infinity) the same as outer product f forBrian McGuinness

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Is f rank (zero infinity) the same as outer product f for arbitrary function f?

<5dea923a-31e7-4fd9-b809-9d3ae1a2110bn@googlegroups.com>

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Subject: Is f rank (zero infinity) the same as outer product f for arbitrary
function f?
From: b.mcguin...@gmail.com (Brian McGuinness)
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 by: Brian McGuinness - Thu, 7 Apr 2022 20:28 UTC

A few trials in NARS2000 seem to suggest that these are equivalent, but I was wondering if there is some subtle difference I'm not aware of.

For example,

a←1 2 3 4 5
b←10 20 30 40 50 60
a (+⍤0 ∞) b
11 21 31 41 51 61
12 22 32 42 52 62
13 23 33 43 53 63
14 24 34 44 54 64
15 25 35 45 55 65
a ∘.+b
11 21 31 41 51 61
12 22 32 42 52 62
13 23 33 43 53 63
14 24 34 44 54 64
15 25 35 45 55 65

--- Brian McGuinness

Re: Is f rank (zero infinity) the same as outer product f for arbitrary function f?

<bfb09580-23c1-a979-688c-bc3f248b5d30@elronnd.net>

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From: elro...@elronnd.net (Elijah Stone)
Newsgroups: comp.lang.apl
Subject: Re: Is f rank (zero infinity) the same as outer product f for
arbitrary function f?
Date: Thu, 21 Apr 2022 23:05:12 -0700
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In-Reply-To: <5dea923a-31e7-4fd9-b809-9d3ae1a2110bn@googlegroups.com>
 by: Elijah Stone - Fri, 22 Apr 2022 06:05 UTC

outer product f is f⍤∞ 0⍤0 ∞

On Thu, 7 Apr 2022, Brian McGuinness wrote:

> A few trials in NARS2000 seem to suggest that these are equivalent, but I was wondering if there is some subtle difference I'm not aware of.
>
> For example,
>
> a←1 2 3 4 5
> b←10 20 30 40 50 60
> a (+⍤0 ∞) b
> 11 21 31 41 51 61
> 12 22 32 42 52 62
> 13 23 33 43 53 63
> 14 24 34 44 54 64
> 15 25 35 45 55 65
> a ∘.+b
> 11 21 31 41 51 61
> 12 22 32 42 52 62
> 13 23 33 43 53 63
> 14 24 34 44 54 64
> 15 25 35 45 55 65
>
> --- Brian McGuinness
>

Re: Is f rank (zero infinity) the same as outer product f for arbitrary function f?

<7f8c9f09-a2bd-4e46-9005-fca00c4d9d58n@googlegroups.com>

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Subject: Re: Is f rank (zero infinity) the same as outer product f for
arbitrary function f?
From: b.mcguin...@gmail.com (Brian McGuinness)
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 by: Brian McGuinness - Mon, 16 May 2022 00:16 UTC

Ok. Thanks.

On Friday, April 22, 2022 at 2:05:18 AM UTC-4, Elijah Stone wrote:
> outer product f is f⍤∞ 0⍤0 ∞
> On Thu, 7 Apr 2022, Brian McGuinness wrote:
>
> > A few trials in NARS2000 seem to suggest that these are equivalent, but I was wondering if there is some subtle difference I'm not aware of.
> >
> > For example,
> >
> > a←1 2 3 4 5
> > b←10 20 30 40 50 60
> > a (+⍤0 ∞) b
> > 11 21 31 41 51 61
> > 12 22 32 42 52 62
> > 13 23 33 43 53 63
> > 14 24 34 44 54 64
> > 15 25 35 45 55 65
> > a ∘.+b
> > 11 21 31 41 51 61
> > 12 22 32 42 52 62
> > 13 23 33 43 53 63
> > 14 24 34 44 54 64
> > 15 25 35 45 55 65
> >
> > --- Brian McGuinness
> >

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