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visits member for 1 year, 4 months
seen Apr 14 at 15:55
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Mar
13
answered On the meaning of the second derivative
Mar
6
comment How does one work backwards from an infinite series to a function?
This seems to reduce to simply finding the closed form of a series. That can't be answered in general because many different techniques exist for many different series.
Mar
6
comment Principal $n$th root of a complex number
Wikipedia says that it may be chosen in a variety of ways: "A principal root of a complex number may be chosen in various ways."
Feb
20
comment A few definite integrals
@Michael, indeed. Have a good day.
Feb
20
answered A few definite integrals
Feb
20
revised A few definite integrals
latex
Feb
5
comment Is there a way to solve $x^2 + 12y - 12x = 0$ for $x$?
As it stands, it can be further simplified: $$6\pm \sqrt{-12y+36}=6\pm \sqrt{4(-3y+9)}=6\pm 2\sqrt{-3y+9}.$$
Feb
4
revised Why does $i^2 = -1$?
latex'd it
Feb
3
answered estimation of limit / reducing of limit
Feb
3
comment Is $\left|\left[\frac{1}{7,000,000,000},1\right]\right|<\left|[0,1]\right|$?
Your skill of exposition is beautiful.
Feb
3
accepted Is $\left|\left[\frac{1}{7,000,000,000},1\right]\right|<\left|[0,1]\right|$?
Feb
3
comment Is $\left|\left[\frac{1}{7,000,000,000},1\right]\right|<\left|[0,1]\right|$?
Is this a very precise way of mathematically qualifying the statement that 'length' and 'cardinality' are two very different concepts?
Feb
2
comment Is $\left|\left[\frac{1}{7,000,000,000},1\right]\right|<\left|[0,1]\right|$?
Thank you all for your help. I understand now.
Feb
2
comment Is $\left|\left[\frac{1}{7,000,000,000},1\right]\right|<\left|[0,1]\right|$?
Could someone clarify on what the phrase "homeomorphism of the usual topologies" means? I did not understand that.
Feb
2
comment Is $\left|\left[\frac{1}{7,000,000,000},1\right]\right|<\left|[0,1]\right|$?
So, @ABlumenthal, $f$ is a bijection from $[a,b]$ to $[0,1]$ with $a<b$ and $a,b\in \mathbb{R}$? Hence, the two sets are of equivalent cardinality?
Feb
2
asked Is $\left|\left[\frac{1}{7,000,000,000},1\right]\right|<\left|[0,1]\right|$?
Jan
26
awarded  Analytical
Jan
26
awarded  Informed
Jan
25
answered In the expression sqrt(“cat”), what is the formal name of “cat”?
Jan
25
accepted What is the limit of a sequence defined recursively as $x_1=2$, $x_{n+1}=1/(3-x_n)$ with $n \in \mathbb{N}$, and how do I prove it exists?