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From: robin.vowels@gmail.com
Newsgroups: comp.lang.ada
Subject: Re: Does Ada need elemental functions to make it suitable for
 scientific work?
Date: Wed, 11 Jul 2012 17:31:33 -0700 (PDT)
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Date: 2012-07-11T17:31:33-07:00
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On Tuesday, 10 July 2012 19:07:05 UTC+10, Dmitry A. Kazakov  wrote:
> On Tue, 10 Jul 2012 03:39:58 -0500, Nasser M. Abbasi wrote:
> 
> &gt; That is a start. But not enough by any means. All functions should be
> &gt; vectorized.
> 
> It is ill-defined. E.g. exp(A), where A is a matrix. Is exp(A) a matrix of
> exponents or exponent matrix?

In languages that provide whole array operations (i.e.,
element-by-element operations -- such as PL/I and Fortran),
it is the former.

BTW., I think you mean matrix exponential, which is a far
less common operation than exp(A) or e**A(i) for i = 1 to n,
and would be written MATRIX_EXPONENTIAL or some such,
just as matrix multiplication would be written MATRIX_MULT
or some such, to distinguish it from the more common
element-by-element product.

> To me it is the second. A similar example for
> vectors: abs V. Is it a vector of absolute values, or maybe ||V||?

For element-by-element operations, it means the first,
as in PL/I and Fortran.