On 5/23/2012 1:03 AM, Russell Standish wrote:
The definition is a somewhat wordy, but essentially technically
correct, form of the standard definition of a basis in Linear Algebra.

What is your question, exactly?
Hi Russell,

Could you elaborate on the dependence of the basis being given in a definite order?


Cheers

On Tue, May 22, 2012 at 09:09:07AM -0400, Stephen P. King wrote:
Hi Folks,

     Lizr's resent post got me thinking again about the concept of a
basis and reading the wiki article brought up a question.

http://en.wikipedia.org/wiki/Basis_%28linear_algebra%29

"In linear algebra<http://en.wikipedia.org/wiki/Linear_algebra>, a
*basis* is a set of linearly independent
<http://en.wikipedia.org/wiki/Linear_independence>  vectors
<http://en.wikipedia.org/wiki/Vector_space>  that, in a linear
combination<http://en.wikipedia.org/wiki/Linear_combination>, can
represent every vector in a given vector space
<http://en.wikipedia.org/wiki/Vector_space>  or free module
<http://en.wikipedia.org/wiki/Free_module>, or, more simply put,
which define a "coordinate system" /_*(as long as the basis is given
a definite order*_/)."

     The reference to that phrase that I have highlighted was
unavailable, so I ask the resident scholars here for any comment on
it.




--
Onward!

Stephen

"Nature, to be commanded, must be obeyed."
~ Francis Bacon


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