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Aug
15
answered Geometry, finding the possible values of 'a'
Aug
15
comment Other notions of “dimension”?
Wikipedia provides a list of many different ones.
Aug
13
comment What does it mean for a function to be uniquely determined by another function?
Perhaps you could provide a bit more context.
Aug
12
answered Find a linear operator given the kernel
Aug
12
revised Prove that a straight line is the shortest curve between two points in $R^n$.
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Aug
12
comment Prove that a straight line is the shortest curve between two points in $R^n$.
@ThomasAndrews: There is no "only" in the wording of the problem though. If I would have to guess, the problem comes from Exercise 1.2.4 of Pressley's book "Elementary Differential Geometry". Judging by the author's own solution manual, leaving it out is intended.
Aug
12
comment Closed Curve with different limits
How do you define $\sqrt{\cdot}$?
Aug
12
answered Prove that a straight line is the shortest curve between two points in $R^n$.
Aug
12
comment What is meant by “rigidity of a geometric structure”?
If you just want a definition, you could say that it's because that the category of complex manifolds is a subcategory of the category of smooth manifolds.
Aug
12
comment Doubt in proof of Dual of the direct sum
You have to show that something lying in both $M^\perp$ and $N^\perp$ has to be $0$.
Aug
12
comment Doubt in proof of Dual of the direct sum
@Manish: Let $v \in V$ be any vector. Then since $V = M \oplus N$, you can find $m \in M$ and $n \in N$ so that $v = m + n$. Now you know that $\phi(m) = \phi(n) = 0$ and it follows that $\phi(v) = \phi(m+n) = \phi(m) + \phi(n) = 0 +0 = 0$.
Aug
12
revised Number of license plates formed by four digits and one letter, qualified.
added 127 characters in body
Aug
12
answered Doubt in proof of Dual of the direct sum
Aug
12
answered Number of license plates formed by four digits and one letter, qualified.
Aug
8
answered Is there another meaning of this notation?
Aug
8
comment Finding all $x$ such that $\log{(1+x)}\leq x$
Then you would only obtain a statement about those particular values.
Aug
8
comment Finding all $x$ such that $\log{(1+x)}\leq x$
It would take you a horribly long time to plug in all real numbers.
Aug
8
comment Finding all $x$ such that $\log{(1+x)}\leq x$
Even so, that wouldn't make the first comment wrong. :)
Aug
8
comment Probability that elements in a noncommutative group commute
Seems to be Theorem 1.7 of this note that showed up by a search.
Aug
8
revised What happen to composite of infinite number of continuous functions?
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