(New page: Notice that <math>V</math> is a positive and increasing function, therefore, <math>f</math> is decreasing. Hence <math>f(x)-f(0)=-V([0,x])</math>)
 
Line 1: Line 1:
Notice that <math>V</math> is a positive and increasing function, therefore, <math>f</math> is decreasing. Hence <math>f(x)-f(0)=-V([0,x])</math>
+
Notice that <math>V</math> is a positive and increasing function, therefore, <math>f</math> is decreasing. Hence <math>f(x)-f(0)=-V_{0}^{x})</math>.
 +
 
 +
We then have <math>V_{0}^{x}=(V_{0}^{x})^{1/2}</math>

Revision as of 09:24, 22 July 2008

Notice that $ V $ is a positive and increasing function, therefore, $ f $ is decreasing. Hence $ f(x)-f(0)=-V_{0}^{x}) $.

We then have $ V_{0}^{x}=(V_{0}^{x})^{1/2} $

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett