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Sophomore Graduate Student in Mathematics


Sep
20
comment Sequence of convex functions
@LVK Okay.Thanks.
Sep
20
comment Sequence of convex functions
@LVK Why are we not considering infinity? Why only real values?
Sep
16
comment Examples of a strongly continuous function and a weakly continuous function.
Welcome to math.SE: since you are new, I wanted to let you know a few things about the site. In order to get the best possible answers, it is helpful if you say in what context you encountered the problem, and what your thoughts on it are; this will prevent people from telling you things you already know, and help them give their answers at the right level. If this is homework, please add the homework tag; people will still help, so don't worry.
Sep
12
comment Is there a mathematical symbol for unknown?
We must know what we are talking about. That is by definition we must be able to express it. Else, we do not talk about the quantities we don't know. However, some things can be expressed in a limited way, and yet cannot be evaluated. For example, we do not talk about infinite sums, we only talk about limits of infinite sums. So, what is the sum of an infinte series? We say we can not evaluate it, however, if you take so and so many finite terms, the series will be withing this range of the "limit". In that case, then we can use $x = \lim_{n \rightarrow \infty} \sum a_{n}$
Sep
11
comment Dividing open domains in $\mathbb R^2$ in parts of equal area
Okay, thanks. I am just learning the stuff, and hence I am sometimes unsure of the connection between theorems.
Sep
11
comment Dividing open domains in $\mathbb R^2$ in parts of equal area
@t.b. Why did you call the ham sandiwch theorem a variant? Isn't it a more general case of the above theorem? Or is there some difference I am missing?
Sep
8
comment How many circles are needed to cover a rectangle?
@NachiketKarnick I would like to invite you to a chat. I have some questions concerning admission tests to various institutes. Let me know if you are open to the idea. Thanks.
Sep
7
comment A problem on separable space
@Matt I guess the two questions are almost equivalent and so this must be closed as the duplicate of the other one. Or maybe the fact that this questions explicitly asks for the theorem in a separable space can make it a different enough question in which case, we might let it remain?
Sep
2
comment Inverse Laplace transform - using the table
Some MSE users tried to improve your post using TeX (for better readability). Please check whether these edits did not unintentionally change the meaning of your post.
Sep
2
comment Inverse Laplace transform - using the table
For some basic information about writing math at this site see e.g. here, here, here and here.
Sep
1
comment If $a$, $a+2$ and $a+4$ are prime numbers then, how can one prove that there is only one solution for $a$?
On the border of begin outrageous, good comments!!
Aug
29
comment ordered field and isomorphism
@vidyaojal if you have not completely understood an answer, it is perfectly acceptable to not accept an answer till you are completely comfortable.
Aug
27
comment How to strictly mathematically prove that definition is wrong?
You have to find out that part of the definition that is not consistent with the conclusion we can make using it and some other facts we already know are true. For example, in your case, the second condition of the definition is falsely assumed I think.
Aug
25
comment how can one solve for $x$, $x =\sqrt{2+\sqrt{2+\sqrt{2\cdots }}}$
What can you say about $x^2$?
Aug
24
comment Continuous solutions of $f(x) = \lambda \int_0^{\pi/2} \cos({x-y)}f(y)\,dy$
Differentiate twice under the integral sign.
Aug
24
comment Approximation of elements in arithmetic progressions by logarithms of integers
@EinarRødland Ohh, I see. So basically I duplicated your answer. Let it stay here though, I find it easier to understand my formulation, I will correct the answer though to reflect the nature of approximation and delete the $e^{-n^2}$ part. I guess that would be correct right?
Aug
24
comment Approximation of elements in arithmetic progressions by logarithms of integers
@AntonioVargas You say you want to investigate the behaviour of the function $\left|\left(1-e^{i c \log n}\right)g(n)\right|^{1/n}$. Would it be possible to know exactly what characteristics are you concerned with? For example, $\log 4$ is almost $\pi/2$ and $\log 23$ is almost $\pi$. I guess you want to know how many $n$ are there such that the term $c \log n $ is approximately equal to some angle $\phi + 2k\pi$ . Is this correct?
Aug
17
comment Ways to define a curve
Are your bodies getting deformed?
Aug
14
comment Proving that $\mu$ is $\sup S$
@jmi4 sorry, my bad, I deleted the comment.
Aug
9
comment How many circles are needed to cover a rectangle?
I must say I like the analysis.