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Jun
11
comment Find limit of the quotient
This doesn't quite work -- note that in your case you have $-\infty$ instead of $N$. What is the definition of such a limit?
Jun
10
comment What's wrong with this?
@Thomas i suppose he is trying to argue that $e^x = 1$ implies $x=0$, which is obviously problematic in complex arithmetic. Not sure what he needs the logs for.
Jun
10
comment Prove $\lim\limits_{n\to\infty}\frac{1}{\sqrt[n]{n!}}=0$
it is right, not sure of other approaches
Jun
10
comment $e^{X_t - \frac{t^3}{6}}$ is a martingale - show it
what is the SDE for $X_t$?
Jun
10
comment Using Union to prove a context-free language?
@sci1991 yes, that is the usual way
Jun
10
comment Stable matching solutions
please clarify your question
Jun
10
comment Using Union to prove a context-free language?
I agree that $L_1 \cup L_2 = L_2$, which happens because $L_1 \subset L_2$. Both are CFL -- but what new information does this give you? What are you trying to conclude that you don't know before your union argument?
Jun
10
comment Finding the number of primes numbers using exclusion/inclusion principle: What am I doing wrong?
can you elaborate on the basis of what you are using incl/excl? # of divisors?
Jun
10
comment Finding the number of primes numbers using exclusion/inclusion principle: What am I doing wrong?
are you possibly counting 1 in one place and not the other?
Jun
10
comment A difficult integral about function $\ln x$ and $\ln\ln x$
perhaps decompose $ln(1+x)$ into McLaurin series and integrate within radius of convergence?
Jun
9
comment When does $(x^x)^x=x^{(x^x)}$ in Real numbers?
@GEdgar fixed it thanks
Jun
9
comment Regarding Max flow problem ( Ford-Fulkerson Algorithm)
@Abellan you need another iteration I think, or the other ones come in the wrong order...
Jun
8
comment Finding an approximate solution to a differential equation using finite difference method.
@Aljabra because $u(1,y) = 0$
Jun
8
comment How can I solve $\int \sqrt{x}^\sqrt{x}dx$
My hunch would be to write $$ \sqrt{x}^\sqrt{x} = \frac{\sqrt{x}^{1+\sqrt{x}}}{\sqrt{x}} $$ and change variables to $u = \sqrt{x}$ with $du = dx/(2\sqrt{x})$, may be simpler. You end up with something like $\int u^{u+1} du$...
Jun
2
comment Find $\lim_{x\to\infty}\frac{f^{-1}(x)}{\ln(x)}$, where $f(x)=e^x+x^3-x^2+x$, without L'Hospital
I am not sure what you are trying to do? The intuition should be that the limit exists and equals $1$ -- your upper bound meanwhile diverges for $x \to \infty$
Jun
2
comment How to find the location of a point in a global coordinate system from a local coordinate system
I am not sure I understand the difference betweek global and local coordinate systems in your question - why does the global system require a separate matrix?
Jun
2
comment How should I go about doing this proof?
@ArjunDhiman see last update
Jun
2
comment How should I go about doing this proof?
@ArjunDhiman see update, note also $A^c \cup B^c = (A \cap B)^c$
Jun
2
comment What is $dx/dF(x)$ where $F(.)$ is a continuous, increasing function.
yes, then sounds like you are looking at something like $dF^{-1}(x)/dx$ or a flavor of that...
Jun
2
comment What is $dx/dF(x)$ where $F(.)$ is a continuous, increasing function.
do you mean $dF(x)/dx$?