How would you get \neg A ? Do you negate closed and the interval as a>x>b?
Or in other words,
" Assume the functions u_n (x) are not continuous on the not closed interval a > x > b"?
What can I conclude using the following theorem?
Let the functions u_n (x) be continuous on the closed interval a \le x \le b and let them converge uniformly on this interval to the limit function u(x) . Then
\int_a^b u (x) \, dx=\lim_{n \to \infty} \int_a^b u_n (x) \, dx
Can...
A follow up to this...
http://en.wikipedia.org/wiki/Euclidean_space
wiki says :
"For any non-negative integer n, the space of all n-tuples of real numbers forms an n-dimensional vector space over R, which is denoted R^n and sometimes called real coordinate space. An element of R^n is...
Is my post from #3 correct?
Ok, so in linear algebra I recall reading something along the lines of
Theorem 1:
Suppose , \vec{u} and \vec{v} are vectors in \mathbb{R}^n . We say that \vec{u} and \vec{v} are orthogonal if \vec{v}\cdot \vec{u}=0 .
So... say we are "in"...