Enveloping algebra

November 11, 2013 at 12:48 pm | Posted in Uncategorized | Leave a comment
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Envelopes of Lines and Circles

Envelopes of Lines and Circles by J. W. Wilson

Picture  from: http://jwilson.coe.uga.edu/Texts.Folder/Envel/envelopes.html

  Being a quiet girl for such a long period of time, many people always encourage me to ask questions, to talk more and more if I can. But I still like writing. Just like the cute one who practiced drawing or asked the parallel in learning magazine before.

Now, my learning problems are still growing of some unknown rate function. After typing some notes today which about the universal enveloping algebra. Some feelings struck me that it really use lots of universal properties, but how about the properties of enveloping?

Look up the website right away. There is an envelope theorem in wikipedia state as: A curve in a two-dimensional space is best represented by the parametric equations like x(c) and y(c). The family of curves can be represented in the form g(x, y, c) = 0 where c is the parameter. Generally, the envelope theorem involves one parameter but there can be more than one para meter involved as well.

In what kind of situation that an universal (enveloping) algebra satisfy the envelope theorem? It seems needs to find the maximization after finding the object function. It’s quite different from the universal property.

Is there any kindly person want to help me to understand that?
Gee know that there must be here…

 

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