anuttarasammyak's latest activity

An electron and a positron meet and become two photons. The system quantum state is conserved and photons are compressible. The reverse...

The angular momentum before and after the change in the moment of inertia is conserved: $$M=I_1\omega_1=I_2\omega_2$$ Assuming ##I_1 >...

To show that ##\sin (\frac{n^2}{n+a} x)## has partially bounded sums for ##x \in [1,2]##: Write \begin{align*} \frac{n^2}{n+a} = n - a...

As for the special case ##x=\frac{\pi}{2}## for n=0 (mod 4) $$a_n=-\frac{1}{n^b}\sin c_n$$ for n=1 (mod 4) $$a_n=\frac{1}{n^b}\cos...

It may help to note that $$\frac{n^2}{n + \frac15} = n - \frac{1}{5 + \frac 1n}.$$

Thanks you all for good teachings. I add would add a rough hand drawing explaining the event.

From "general theory of relativity" by Dirac, as for Einstein pseudotensor, (32.3) where ##\mathcal{L}=\sqrt{}\ L## with (26.3) , we got...

In the restframe of the train, the bridge-length maybe even smaller than the train-length due to length contraction, if the bridge moves...

From the graph in ＃7, we observe for |x| >> 1 only n=1 term survives so it is sinusoidal between -1 and 1. From the graph in #3 , for...

Once, I calculated the integral of the Einstein energy–momentum pseudotensor for a Schwarzschild black hole in the region outside the...

Order does not matter for real number inner products. However, in (c), $$<u|v> = <v|u>^*$$a conjugate complex.

Train Fall Paradox A train is running on a long bridge over a river. A series of bombs planted on the bridge by terrorists explode...

##x^2-3x+3>1## ##x<1,2<x## for these area $$ \sum_{n=1}^\infty |\sigma_n| < \sum_{n=1}^\infty \frac{1}{n^p} ,p>1$$ so the sum converges...

FYI please share the plot of the sum as function of x which I ordered to ChatGPT.

I do not expect that learnig Hilbert space give you a direct answer to your question, but you may become familiar with mathematics of...