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  • 0 posts edited
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  • 24 votes cast
Feb
11
asked Is $(\omega \times \omega)^{\omega}\cong \omega \times \omega \times… \cong \omega^{\omega}$? Where “$\cong$” means homeomorphic.
Jan
28
answered Find the area of the region bounded by two curves.
Jan
28
answered Solving limits without l'Hopital
Jan
28
comment What is the probability of being prime?
Are people misunderstanding this on purpose? It seems like a simple enough question.
Jan
25
comment Is $B_1 \times B_2 \times … \times B_n \times X \times X \times …$ a base for the product topology?
I was using the definition of base for the Tychonoff product topology, where a base looks like the above (title) except that the $B_n$ sets are not necessarily the first $n$ coordinates and can be quite scattered, but there are only finitely many such $B_n$ and the rest of the factors are required to be the whole space, $X$.
Jan
25
revised Is $B_1 \times B_2 \times … \times B_n \times X \times X \times …$ a base for the product topology?
added 13 characters in body
Jan
25
comment Is $B_1 \times B_2 \times … \times B_n \times X \times X \times …$ a base for the product topology?
Thank you Thomas. I will be more careful stating all of the assumptions from now on also.
Jan
25
asked Is $B_1 \times B_2 \times … \times B_n \times X \times X \times …$ a base for the product topology?
Jan
21
accepted How much $\frac{dp/dt}{p-900}=\frac{1}{2}$ become $\frac{d}{dt}ln|p-900|=\frac{1}{2}$?
Jan
21
comment How much $\frac{dp/dt}{p-900}=\frac{1}{2}$ become $\frac{d}{dt}ln|p-900|=\frac{1}{2}$?
It becomes the left hand side of the previous equation, which seems to verify that this is the correct way to go. I was hoping to learn how to do it directly with the chain rule though.
Jan
21
asked How much $\frac{dp/dt}{p-900}=\frac{1}{2}$ become $\frac{d}{dt}ln|p-900|=\frac{1}{2}$?
Nov
19
comment How can we formulate the working mathematically of this simple number theory word problem?
There is some sort of typo, you mention H,G and O in the beginning but then give the stats on O,G, and O...is Oscar=Huxley?
Nov
19
comment is the statement “for any person x” and “for a person x who can be anyone ” same?
I think I could see them not being the same though. You could say that some statement like, "X is taking a math class", is not true "for any person x", meaning that it's not true for all of them. But it is true for a person x, who can be anyone, meaning that it is at least true for 1 person, who can be anyone, but we just don't know which one he is.
Nov
19
comment is the statement “for any person x” and “for a person x who can be anyone ” same?
I think they are the same.
Nov
19
comment I'm having some trouble with this definite integral
I don't think you substitute u and w back in as long as you change the limits.
Nov
19
comment Is the Cartesian square of the set of irrational numbers path connected?
Just to clarify, the key point here is that 0 was rational, right? We could have chosen this "separation" around any rational point.
Nov
19
accepted Is $\mathbb{R}^{\mathbb{R}}$ or $\mathbb{R}^{\mathbb{N}}$ separable?
Nov
17
asked Is $\mathbb{R}^{\mathbb{R}}$ or $\mathbb{R}^{\mathbb{N}}$ separable?
Nov
17
comment How to extend a homeomorphism defined on a corner piece of a rectangle to the full rectangle?
Do you think if we required that the hypotenuse of $C$ map to itself (allowing for rearrangement of points), that the extension would be possible?
Nov
17
comment How to extend a homeomorphism defined on a corner piece of a rectangle to the full rectangle?
Yes, and let me say, I'm sorry that these details were not included.