Here's a "natural" place where I can see this is helpful:

To carry out, Gauss-Jordan like row reductions, where you'd like the first
non-zero entry in a row (the so-called pivot) to be 1, I think this is very
helpful.

So, I'd be **for** keeping this, perhaps in a different name, that would
reflect this. Like `reduce(v)` or perhaps, `echelonize(v)` for instance.

Regards,
~KnS


On Sat, Dec 1, 2012 at 3:06 AM, Eviatar <eviatarb...@gmail.com> wrote:

> Hello,
>
> I was planning to work on the patch for this; however, is "normal form"
> known terminology for dividing a vector by the leading entry? A Google
> search returns no such use. Wouldn't it be better for it to be named
> something like divided_by_leading, to remove ambiguity and potential
> confusion?
>
> On Wednesday, 19 September 2012 11:55:24 UTC-7, Chris wrote:
>>
>> It was pointed out to me that vector normalization in Sage is not doing
>> what most people would think it should do. Rather than divide by the norm
>> of the vector, right now the implementation is to divide the vector by the
>> first non-zero part. This was pointed out to me by someone who teaches
>> undergrads and found it frustrating that Sage was not doing the standard
>> normalization. I think it needs to be changed.
>>
>> Anyways, I have opened a trac ticket, take a look:
>>
>> http://trac.sagemath.org/sage_**trac/ticket/13393<http://trac.sagemath.org/sage_trac/ticket/13393>.
>>
>>
>> It was suggested that this come to a vote. I vote that it be changed.
>> Opinions anyone?
>>
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