Tagged Questions
1
vote
0answers
23 views
Prove a transformation is a variational symmetry for J
The following problem is from The Calculus of Variations by B.von Brunt (page 215, Exercise 9.2.1)
Let
$$
J(y)=\int_a^b xy'^2\mathrm{d}x.
$$
Show that the transformation
$$
X=x+\epsilon2x\ ...
-1
votes
1answer
57 views
Variance Formula
for the variance formula $\text{var}(X) = E[X^2]-(E[X])^2$
how are you suppose to work out $E[X^2]$ given the interval $[0,1]$ and $E[x]= 1/2$
