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Jul
21
comment Pagerank existence of a graph given a vector
@NikhilShinday new question did not come through. consider posting it as a separate question and pasting the link here
Jul
20
answered Pagerank existence of a graph given a vector
Jul
20
comment Determine all real $x$ for which the series $\sum\limits_{k=1}^\infty\frac{k^k}{k!}x^k$ converges.
if you substitute $x=1/e$ you get something very similar to the limit expression in the hint, can you use it?
Jul
20
comment Rewriting Triple Integral in different order
@sonia why don't you try yours and post the answer here, and i will check it?
Jul
20
answered how to solve a matrix equation like that
Jul
20
comment Rewriting Triple Integral in different order
@sonia here is an example of a very related problem, just not yours.
Jul
20
revised Rewriting Triple Integral in different order
added 681 characters in body
Jul
20
comment Rewriting Triple Integral in different order
see the hint in the answer
Jul
20
answered Rewriting Triple Integral in different order
Jul
20
revised Function $f(x)=2e^x/(1+e^x)$ and its critical point
deleted 2 characters in body; edited title
Jul
20
comment Rewriting Triple Integral in different order
think about the region this represents and represent it using the different variable order; the integrand does not change
Jul
20
answered Direct proof for convexity of $e^x$
Jul
17
comment Find a non injective function between a set of integers and itself
pigeonhole principle implies this is impossible
Jul
17
comment Prove/disprove: if $X$ is an eigenvector of $T$ then X is a singular matrix
@Mnifldz i don't think so, $T$ maps matrix to matrix
Jul
16
comment Question on how to manipulate terms in this expression
Well, doesn't each of those sums depend on $x$? So the only constant seems to be $1/2^n$
Jul
16
revised Upper bounding a definite integral
edited body; edited title
Jul
16
comment Question on how to manipulate terms in this expression
i don't understand the question. constants wrt what quantity? $x$?
Jul
16
comment Upper bounding a definite integral
@IvoTerek it does, it's zero over $[0,1]$
Jul
16
comment Upper bounding a definite integral
if you just bound $f \leq 2$ then you get $$\int_0^5 2x = 25$$ which is better than your bound slightly, but still not good enough for $24$
Jul
16
comment Upper bounding a definite integral
@angryavian you're right