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### FAQ

How is it possible to fill a 2D NxN matrix in spiral form?

The 2D NxN matrix can be though of as 1D array of length N^2 to keep things simple.Â If not, you can get the 2D coordinates by x = pos / N, y = pos % N.// Constants
const int N = 4,
const int left = -1, right = 1, down = N, up = -N,
int grid[N * N],
// Get next clockwise direction
int next(int dir)
{
switch (dir)
{
case left: return up,
case up: return right,
case right: return down,
case down: return left,
}
}
// Assumes default is all zero
void fill(int grid[N*N])
{
int pos = N-1, dir = right,
for (int i = N * N, i 0, i--)
{
// Fill the block
grid[pos] = i,
if (pos == 0 || pos == N - 1 || pos == N*(N - 1) || pos == N*N - 1
|| grid[pos + dir] != 0)
{
// if corner point reached or block already filled, change direction
dir = next(dir),
}
// Move to next position
pos += dir,
}
}

Are we living in a simulation?

Google Prof Nick Bostromâ€™s work on this question. Itâ€™s a possibilityâ€¦Elon Musk recently stated that we could be in a simulation. He said think how realistic games are now and imagine how realistic they will be 10,000 years from now.[In other words, at some point it will probably be possible to create a simulation that is indistinguishable from reality. Of course the simulation can model any era, so although the technology might be developed in the year 12020, one of its simulations might be for our year 2022. It might even be that the technology belongs to an â€śalienâ€ť species, and our experiences of evolution are one of their experiments, studies, or leisure activities.]Peter Diamandis accepted that weâ€™re probably living in a simulation, but so what. (We're in a Simulation - YouTube)A few physicists are even conducting experiments to see if this might be the case.So there is a group of professionals that consider it to be a real possibility.If you know anything about computer games, models and simulations youâ€™ll know that they are an approximation. One of the reasons for this is so that a computer with finite processing ability can run the game, model or simulation. So what would we look for to prove weâ€™re in a simulation? Weâ€™d look at the details and see if there were any approximations, or look to see if there was a point at which the simulation stopped simulating.When we look at some of the smallest objects in us and our universe (atoms) we find that strange things are happening. In science this behaviour is described by Quantum Mechanics. It turns out that very weird things happen at this level of detail. For example, particles donâ€™t have specific values until they are â€śobservedâ€ť. Before the observation they can be in a super-position of all possible states (or wave functions). This means that they can be doing paradoxical things - like being in all places at the same time! Itâ€™s only when they are observed that they take on a specific value, like a specific location and momentum.So in effect, we could argue that they donâ€™t become defined until they are observed. Now thatâ€™s interesting because computer simulations in use today only render (define) objects that the user can see on the screen at a given point in time.So hereâ€™s something for you to ponderâ€˘ Is the interpretation of quantum mechanics the following?We are living in a simulation.(Perhaps)

Human Brain: Would scientists be able to invent a machine to upload specialized knowledge directly into the brain, and when that happens, would it render the current education system obsolete?

We have had tools for doing this every since we learned to exchange, store and copy information using language and drawings. The smart phone in your pocket, while not being directly connected to your brain yet, serves as real-time memory and knowledge database for your brain everyday. There is currently a lot of research going on with computer/brain sharing and uploading right now and the results are pretty amazing. Seems like it will become a reality with humans within the next few decades:With an Artificial Memory Chip, Rats Can Remember and Forget At the Touch of a Button Scientists link rat brains together over the internet to transfer sensory information http://www.sciencedaily.com/rele... Meet the Two Scientists Who Implanted a False Memory Into a Mouse Remember, technology improves at an exponential rate so if some of our current tech would have seemed far fetched to someone 50 years ago, we can scarcely imagine the technological magic there will be in 2065. At that time, tech will be growing at such an astonishing rate, we will HAVE to have augmented memory and learning in order to just keep up with the basics. This picture illustrates this principle perfectly. As a boy he watched as his country fought each other with cutting edge black powder rifles, horses, and cannons and before he died he saw his country go to war using supersonic jet fighters, attack helicopters, nuclear warheads, and satellites. The amazing changes he will be dwarfed by our own experiences.Â

Is it going too far to ask a potential girlfriend to fill out a potential partner evaluation form?

You have, of course, offered her your version of the same form (or equivalent), filled out with all your answers, right?I just applied for a job I may decide I donâ€™t want because their application process is so 1999. Allow that your prospective partners will be evaluating your date selection process while they fill out the form. It is possible that some women will relish a more straightforward, apparently data-driven approach and find it more comfortable to write answers than to talk.This might actually be the best way to weed out incompatible partners, for you.You will have to accept that this WILL weed out incompatible partners, of course. As long as you can live with that fall out, Iâ€™m all for reducing the field of candidates to manageable numbers as fast as possible.You might want to have the form reviewed by someone you trust who can help you evaluate how you have worded the various questions and make sure that the data you are seeking is actually relevant to your criteria.(And you do have criteria, of course.)

How far away are we from living inside the matrix? What about outside of the matrix?

â€śThe Matrixâ€ť involves a total immersion simulated sensorium with an automated life-support system.We are so far away from that situation that nobody can put a tentative date on when the tech would be achieved.Should it be achieved, then â€śoutside the matrixâ€ť would be the regular World. It would be like when you play a video-game: what is outside the game? Answer: real life.

How can I use stochastic process to fill adjacency matrix at random?

I presume you want to fill a matrix with random values.Regarding the application of the adjacency matrix, is it the adjacency matrix of a circuit, of any other sort of object modeled by a directed graph?Letâ€™s return to the random adjacency matrix. For instance, in Octave (GNU Octave) you create a random matrix [math]W[/math] with [math]m[/math] lines an [math]n[/math] columns with the command:[math]W=rand(m,n)[/math]By default, the statistical distribution which is used in Octave is uniform in the interval [math][0,1][/math]. You can use other distributions: [math]randn(m,n)[/math] uses the normal or Gaussian with zero mean and variance of one, [math]rande(m,n)[/math] uses the exponential distribution, [math]randi [/math] samples from a certain range of integers, [math]randp(m,n)[/math] uses the Poisson distribution. Etcâ€˘ You can see details of those and other Octave distributions in the manpages of Octave located at Special Utility Matrices.Matlab, Scilab and Julia, other software similar to Octave, has similar instructions.If you want to fill a sparse random adjacency matrix, that is, if many of its elements are to be kept with a value of zero, you use two [math]for[/math] cycles to run over the two dimensions of the matrix, and write in them element-wise the random value, but first you test if the value stays at zero by â€śtossingâ€ť a coin with the probability of an element of the matrix being filled or not. For instance, if that probability is 10%, on average only 10% of the matrix elements will have a non zero random value in the end.

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