I've been struggling with the problem below for some time. It is not a homework.
A simple bubble S is a spherical surface that expands with constant speed c. A vector bubble V also expands with the same constant speed c. There is a 3d vector associated with a V.
If two S bubbles touch, they...
In the article 'Cellular vacuum' (Int. J. Theor. Phys. 21: 537-551, 1982), Minsky writes: "One can prove that any bounded packet which moves within a regular lattice must have an asymptotically helical trajectory.. . " He does not explain this statement further, nor does he give any references...
In the article 'Cellular vacuum' (Int. J. Theor. Phys. 21: 537-551, 1982), Minsky writes: "One can prove that any bounded packet which moves within a regular lattice must have an asymptotically helical trajectory...". But he gives no references whatsoever.
I had no success in a search on the...
A problem with cellular automata models of the universe is how to explain the cell processor (unless we live in a simulation). The block universe model can solve this puzzle by stating that time "slices" are connected blocks of information. See https://zenodo.org/record/3818303#.X3ilCMJKiM9 for...
Thank you for the kind answers, guys.
I found out exactly what I needed (c language):
int idx = 6;
unsigned char permutation[] = { 0, 1, 2, 3, 4, 5 };
unsigned char temp[6];
void swap(unsigned char *a, unsigned char *b)
{
int t = *a;
*a = *b;
*b = t;
}
/*
* Prints a different...
Summary: Algorithm do find all random permutations of n=[0,6)
Hi,
The following algorithm gives 6 out of the 720 random permutations of integers in the range [0, 6).
t=0..5 // permutation
i=0..5 // sequence index
n =...
Of course the modified k grows, it is an integer constant.
The rationale for the modified expression for k is:
lim_{N\to\infty} \frac{N}{2}sin(2\pi/N)=\pi
sin^2\theta+cos^2\theta=1
\overline{k}=\sqrt{\frac{N^2}{4}-\pi^2}
for N>>1 we have
\sqrt{\frac{N^2}{4}-\pi^2}\approx \frac{N}{2}-1
I need to recursively generate a quadrature signal which fits exactly into a grid NxN, where N is a large power of two.
After unsuccessful research, I decided to develop my own solution, starting from the waveguide-form oscillator taken from Pete Symons' book 'Digital wave generation, p. 100'...
I'm not claiming this is a lemma, my friend. I'm asking whether it can be proven, since my attempts to prove it were of no avail. That's why I launched the challenge.
By the way, the formula was deduced by picking the lowest stop times from 1 to 10000 and checking the peculiar power of two...
Nice answer, ZapperZ. Let's suppose now one single photon with the correct wave length to get maximum reflection. What happens to the properties of the photon to have higher probability of detection in a very closed angle cone in the direction of reflection?
How can a mirror reflect 99,999% of incident light? Or in other words what makes a photon exiting a laser cavity so directional?
In fact, I never found a really convincing answer. Thank you.