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17h
comment How to calculate this multi-integral?
Apply Fubini's Theorem.
2d
accepted A typo in Spivak's solution?
2d
accepted An almost upper bound. Is this a counter example? (SPIVAK)
May
18
accepted $\sup (A+B) = \sup A + \sup B$
May
14
comment Sufficient condition to a function be a diffeomorphism
What about its inverse?
May
13
comment $\sup (A+B) = \sup A + \sup B$
Sorry for my belated answer. I had to go to the hospital last night. If a number is smaller than every real number, then doesn't that mean the number does not exist? I seriously need a concrete numerical example
May
11
answered proving that a certain function is not differentiable at $(0,0)$
May
11
comment $\sup (A+B) = \sup A + \sup B$
From your implication, you have for every z greater than x that is as big as y, then we have $x \geq y$
May
11
comment $\sup (A+B) = \sup A + \sup B$
Regarding my example we have the following: 5 > 4 and $5 \geq 4$ implies 5 > 5 whichh is a false statement
May
10
comment When is $\det(A+B)=\det(A)+\det(B)$ for positive definite $A$ and positive semidefinite $B$?
The 0 matrix and identity works. Maybe a few more
May
10
comment $\sup (A+B) = \sup A + \sup B$
How do I even know when to use this epsilon trick? It was actually given as a hint, I am not so sure when to even use it
May
10
reviewed Approve suggested edit on Proving that if $\inf S\notin S$, then it is an accumulation point of $S$
May
10
answered Prove that $f$ is continuous at a if and only if $\lim _{h\to0} f (a + h) = f(a)$
May
10
comment $\sup (A+B) = \sup A + \sup B$
"If every real number bigger than x is at least as big as y..."So if $z = 5$ (say) and $x = 4$, and $y = 5$. Something is wrong
May
9
comment $\sup (A+B) = \sup A + \sup B$
But then what would be the point of defining the equality in this question?
May
9
comment $\sup (A+B) = \sup A + \sup B$
Isn't it meangingless to talk about the supremum if the set isn't bounded in the first place?
May
9
comment $\sup (A+B) = \sup A + \sup B$
I accept the truth of your explanation, but I have no intuition or feeling behind it. The whole $\epsilon$ thing is the one thing that's bugging me
May
8
comment An almost upper bound. Is this a counter example? (SPIVAK)
Coudl you look at my updated question?
May
8
comment Differentiability of function $f(x,y) = |x|^a + |x-y|$.
The way I see it, it appears you have no choice but to do it by brute force. That is we have to compute the derivative from the formal definition. I only worked out one partial derivative and it was quite involved already. Many inequalities
May
8
revised An almost upper bound. Is this a counter example? (SPIVAK)
edited tags