Recent content by Ssnow

##a^0## can't be ##0## because if ##a^0=a\cdot 0 =0## for every ##a##, then ##0^0=0##, that is not true in mathematics ... In addiction ##a^0=a^{0+0}=a^0\cdot a^0##, now ##a^0=\left(a^0\right)^2## that is only if ##a^0=1## or ##a^0=0##. By the nosense of ##a^0=0## follow that ##a^0=1##. Ssnow

Thank you @renormalize ! This is a nice transformation!! It is connected with the entropy and the information theory ... It is a good example ... :smile: Ssnow

Observing the form of the graph the clearly association is an event that change very fast in a short time, like an explosion ... I don't know probably in chemistry ... Ssnow

Hi!! There is some natural phenomena (finalcial or other field ... ) that is modelled by the following real function (of a similar function less then a constant): $$y=f(x)=x^{\frac{2}{x}}$$ or $$y=x^{\frac{k}{x}}, \ \ \ \ \ \ \ \ \forall k\in\mathbb{R}$$ thanks, Ssnow

Hi Josiah, I think we are very close, U.S. there is Radiant that has projected micro-reactors for small community or industries. There are avanced project for micro-reactors of 1 MWe, with expansion until 1 GWe. PS. See https://www.radiantnuclear.com/ Ssnow

I solved the problem, Ssnow

Interesting videos, for me the hyperdie is more intuitive than the hypersphere ... Ssnow

Hi to all!! I have a problem to derive the conformal laplacian \sum_{m,n}g^{mn}(y)\partial_{q^m}\partial_{q^n}(\psi|\det{(g)}|^{1/4})(y)=\sum_{m,n}|det{g}|^{1/4}(\Delta \Psi -\frac{1}{6}R(y)\psi(y)) where $$g$$ is the metric associated to a Levi Civita connection in a normal frame, we have...

Hi, I think there is an error in the last term, this must be zero because you must be able to reconstruct the conservation condition ... Ssnow

Hi, if you use the TikZ library there is a command \moon{<day>} that takes the day of the lunar month as an argument and draws the corresponding lunar phase ... Ssnow

I think you can try to have a infinite sum expanding by Taylor the exponential: ## \int e^{\cos(x)}dx=\int 1+\cos{x}+\frac{\cos^2{x}}{2!}+\frac{\cos^3{x}}{3!} dx ## now by linearity: ## \int e^{\cos(x)}dx=x+\sin{x}+\int\frac{\cos^2{x}}{2!} dx+\int \frac{\cos^3{x}}{3!} dx + ...## If you have...

I think the notation of @pasmith is appropriate, thank you! Ssnow

Hi Physics Forum, I want to ask if there is an "appropriate" notation for the infinite self-iteraction of an analytic function ##f(x)##, that is ##f(f(f(...)))##. For example I know ##f^{(+\infty)}(x)## can be a way, but there is an operator notation as for the infinite sum...

"Quantum computation and quantum Information" by Nielsen e Chuang. Ssnow

Hi, yes I think the substitution can be of the following form ## \alpha \,=\, \frac{50}{\pi}t## do the differential will be ##d\alpha\,=\,\frac{50}{\pi}dt## and inverting ##dt\,=\, \frac{\pi}{50} d\alpha##, now put it into your integral ... 😄 Ssnow