@DanielFischer it is $\geq 0$. Is there a straightforward proof for this ? Given $e$ a normal unit vector, all we know is $\langle p_H(x),e\rangle=0$, $\langle x,e\rangle\geq 0$ and $\langle y,e\rangle\leq 0$
@TedShifrin $k[[X]][[Y]]$ and $k[[X,Y]]$ are isomorphic as $k$-algebras, but not as topological rings. In the first, $X^n$ (as $n\to\infty$) does not tend to $0$ (since you need higher and higher powers of $Y$ to do that), whereas in the second it does (since you only need higher and higher total degree there).
Earth. We use the word Earth as another word for the soil. Soil is dirt. We use the word Dirty to describe the contaminated state of a human being or other object or life form. The opposite of Dirty is clean. We use soap to get clean. Soap rhymes with boat. Boats are used to ride in water. Humans drink water. The average adult human body is 65% water. 6-5= 1 Lets go back to the topic of Dirt. The word dirt has four letters in it. Subtract 4 by our product (1) 4-1=3 What shape has three sides? A triangle.
hello for two simultaneous linear equations such as 2x-6=0 and 3x+6y=15 when using a matrix why does it become: [2, 0] and not [2, -6] [3, 6]_______[3, 6]
