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Dec
17
revised Prove that a saddle point for the Lagrangian function - then it's a global min for constraint problem
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Dec
16
comment What is the name of the theorem?
@AyleanClaraGrandieur see update with full text & hyperlink
Dec
16
revised What is the name of the theorem?
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Dec
16
answered What is the name of the theorem?
Dec
15
comment Integral of the product of a power function and an arbitrary exponentiated function
not sure it helps but substituting $u = t^a$ yields $$\frac{1}{a} \int \exp\left( \frac{u^{1/a} \ln 2}{\lambda} - \frac{u}{b}\right) du$$
Dec
15
answered Prove constrained problem has no duality gap
Dec
15
revised Probability of never losing when playing the St Petersburg Paradox repeatedly?
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Dec
15
answered What's the general mathematical method to go about solving a substitution cipher?
Dec
15
revised Entropy and the probability to guess
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Dec
15
comment Probability - Limits of integration for Z=X+Y, with bivariate density f(x,y)
you should have $$f_Z(z) = \int_\mathbb{R} f(x,z-x) dx$$
Dec
15
revised Probability - Limits of integration for Z=X+Y, with bivariate density f(x,y)
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Dec
15
comment Extending relation to be transitive
Say, it is transitive and you are using the matrix representation. Pick some $a \sim b$ and $b \sim c$ and mark them in your matrix. What entry does $a \sim c$ represent? can you generalize this?
Dec
15
answered Find surface area of the portion of the planar surface $S(u,v)=<u,v,1-u-v>$
Dec
15
revised Find surface area of the portion of the planar surface $S(u,v)=<u,v,1-u-v>$
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Dec
15
comment System of differential equation
@Ergo your approach isn't always correct. E.g. here, it won't work. Definition of $e^{tA}$ (it is also a matrix) is from the Taylor series in the answer. You can simplifyit greatly by just computing $A^2$. What do you get? Then multiply by $\vec{F}(0)$ on the right to get the answer...
Dec
15
comment Distribution of ratio of functions of random variables
@charn are you sure the numerator is $\sin(2x)$ and not $\sin^2(x)$? Your function $a(\cdot)$ is not even invertible...
Dec
15
comment System of differential equation
@Ergo can you please be more specific? what do you not understand exactly? Do you know what $e^A$ means when $A$ is a matrix?
Dec
15
comment System of differential equation
@Ian thanks, fixed
Dec
15
revised System of differential equation
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Dec
15
revised System of differential equation
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