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Aug
19
reviewed Close Let $X$ denote the number of tosses required to get the 5th head and $Y$ the number between the 6th and 7th heads. Are $X$ and $Y$ independent?
Aug
17
comment How does the PDE $\,\dfrac{d^2u}{dx^2} = 0\,$ become $\,u=x\,f(y)+g(y)\,$ when integrated?
I add some explanation.
Aug
17
revised How does the PDE $\,\dfrac{d^2u}{dx^2} = 0\,$ become $\,u=x\,f(y)+g(y)\,$ when integrated?
added 112 characters in body
Aug
17
answered How does the PDE $\,\dfrac{d^2u}{dx^2} = 0\,$ become $\,u=x\,f(y)+g(y)\,$ when integrated?
Aug
17
revised How does the PDE $\,\dfrac{d^2u}{dx^2} = 0\,$ become $\,u=x\,f(y)+g(y)\,$ when integrated?
math expression need a dollar
Aug
17
revised let $f$ be continuous on $[a,b]$. Prove that $f$ is integrable on $[a,b]$
edited title
Aug
17
revised Let $f$ be strictly increasing and $g,\ g\circ f$ is continuous. Does this implies that $f$ is continuous?
added 9 characters in body; edited title
Aug
16
asked Proof of $d^\ast A =0$ where $D=d+A$ is Yang Mill connection
Aug
14
answered Compute $\int_M \omega$
Aug
13
comment Proof of the fundamental inequality of the index form
I think that the book "Riemannian geometry" - do Carmo will be helpful
Aug
9
comment Error when computing geodesics in hyperbolic half plane
If $c(s)=(\cos\ f,\sin\ f)(s)$ and $|c'(s)|=1$, i.e., $\sin\ f=f'$, then it satisfies geodesic equation (x'=-\sin\ ff'=-\sin^2f,\ x''=-2\sin\ f\cos\ ff' you can check easily)
Aug
9
comment Error when computing geodesics in hyperbolic half plane
Note that geodesic equation in the first link is about curve of unit speed. So to apply geodesic equation we must find reparametrization $c(s) = (\cos\ f(s),\sin\ f(s)),\ t=f(s),\ |c'(s)|=1$, since $(\cos\ t,\sin\ t)$ do not have a unit speed. To find $f$, we solve $(f')^2=\sin^2 f$. I think that this is not easy.
Aug
9
comment Error when computing geodesics in hyperbolic half plane
You mean that you want to solve this problem by using $x'',\ y''$ instead of solution in link ?
Aug
9
answered Error when computing geodesics in hyperbolic half plane
Aug
9
comment Holonomy computation in a sphere
Covariant derivative in $\mathbb{R}^3$ is to differentiate and project to tangent space. So $C$ and $S$ has same tangent space along $\gamma$
Aug
9
answered Holonomy computation in a sphere
Aug
8
revised Norm of an integral operator $L^1 \rightarrow L^\infty$
added 101 characters in body
Aug
8
revised Pointwise/Uniform Convergence of Sequence of Functions (and continuity!)
added 61 characters in body
Aug
8
answered Pointwise/Uniform Convergence of Sequence of Functions (and continuity!)
Aug
8
comment Line integral of a vector field?
What is your try ?