Re: formal way of describing axes: as basis vector notation?

From: Alex Hunsley (lard_at_tardis.ed.ac.molar.uk)
Date: 01/23/05 

Date: Sun, 23 Jan 2005 17:50:15 GMT

William Elliot wrote:
> On Sun, 23 Jan 2005, Alex Hunsley wrote:
>
>> If working many axes when talking about geometry, it's handy to use a
>> more formal notation instead of x, y, z, etc.
>> For example, instead of writing f(x, y, z, ...), you want to write
>> something like:
>>
> f(x1, x2,.. xj) for j-dimensional space or more common place notation
> f(x_1, x_2,.. x_n) for n-space
>
>> f(e_0, e_1, .... e_n)
>> What would be the most obvious notation to use for this? I'm using e
>> above as e is used for the basis vectors for R^n but is there a better
>> symbol to use?
>>
> This is worse, in fact confusing, missing the point, going from
> functions over reals to functions over vectors.

I did get the impression I was perhaps conflating vector spaces with
other things... thanks for the suggestion.