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?
Could you elaborate on the dependence of the basis being given in a
On Tue, May 22, 2012 at 09:09:07AM -0400, Stephen P. King wrote:
Lizr's resent post got me thinking again about the concept of a
basis and reading the wiki article brought up a question.
"In linear algebra<http://en.wikipedia.org/wiki/Linear_algebra>, a
*basis* is a set of linearly independent
<http://en.wikipedia.org/wiki/Vector_space> that, in a linear
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
"Nature, to be commanded, must be obeyed."
~ Francis Bacon
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