All India Radio – Strange Days

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All India Radio – Four Three (feat Selena Cross)

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All India Radio – The Slow Light

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All India Radio – Purple Sky

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Mandelbrot Set

MANDELBROT SET

This is a journey into a place called the Mandelbrot Set, which is a mindscape. It’s a place Mb1anyone in the universe can explore. Aliens in another galaxy can visit the same exotic places in the Mandelbrot Set that we do. The red arrow indicates where I’m going to zoom in.

To understand what the Mandelbrot Set is, I have to explain complex numbers from second year algebra. That name doesn’t mean the numbers are complicated, it just means they are numbers which have two parts, and when the two parts are multiplied, they have to be handled separately just like a binomial. For instance, 2 + 3i is a complex number. If I multiply it by itself (square it), I end up with 4+ 6i + 6i + 9i^2. Now to continue I have to explain what i is.

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i is defined as the square root of -1. The normal operations of algebra don’t give us the square roots of negative numbers, because the squares of negative numbers are always positive. But in Algebra Deluxe we have defined i, by fiat, as the square root of -1 so we don’t end up quadratic equations with only one solution, or even none. In an unfortunate choice of math jargon i is called an imaginary number but that doesn’t mean it’s pure fantasy. For instance, i^i = e(-π/2)

So now that we know i is the square root of -1, it follows that i^2 is simply -1. In myMb3 squared complex number above, the solution becomes 4 + 12i – 9, or -5 + 12i. Now what good are complex numbers? They extend the one-dimensional number line of real numbers to the two-dimensional Argand Plane. The real part of my complex numbers (+2 in the first case, -5 in the second case) represent the horizontal position of a point. The “imaginary” part of my complex number (+3 in the first case, +12 in the second case) represent the vertical position of a point.

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So here’s what we do to generate the Mandelbrot set. Each point on the screen is a complex number which is multiplied by itself repeatedly. Each solution is a new point. If the solutions remain on the screen after, say, 100 iterations, that point is assigned a dark color. If the solutions fly off the screen, they are assigned lighter colors based on how soon they depart. And the result is a wonderful fractal universe that (with the proper software, such as Xaos) you can dive into real time with your mouse, as it smoothly zooms in (or out if you hold down the right-clicker instead).

This universe is like Mount Everest. We didn’t make it. God didn’t even make it. It’s justMb6 “there”, and it has always been there, like the distribution of primes. You can go down and down, forever and ever, and the funny thing is, sometimes you find little baby copies of the whole Mandelbrot Set down there, but they are never exact copies, only endless variations of the theme. It’s really a mind blower.

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Teresita’s Top Ten Commandments

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1. I’m God I don’t need your money.
2. Don’t kill.
3. The death penalty is killing.
4. Don’t steal.
5. If you like it put a ring on it, male or female.
6. Share the bounty of the Earth.
7. No rape.
8. Farm all your energy.
9. Three day weekends.
10. Forget about any hereafter.

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The Fifteen Commandments

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THE FIFTEEN COMMANDMENTS

There really are fifteen commandments, but Exodus 34 says there’s only ten, and since the Bible can’t be wrong, Christians tell us there’s only ten.  But count the actual imperatives yourself and see.

  1. You shall have no other gods before me.
  2. You shall not make for yourself a carved image, or any likeness of anything that is in heaven above, or that is on the earth beneath, or that is in the water under the earth.
  3. You shall not bow down to them or serve them.
  4. [You shall show] steadfast love to thousands of those who love me and keep my commandments.
  5. You shall not take the name of the LORD your God in vain.
  6. Observe the Sabbath day, to keep it holy
  7. Six days you shall labor and do all your work.
  8. [B]ut the seventh day is a Sabbath to the LORD your God. On it you shall not do any work
  9. You shall remember that you were a slave in the land of Egypt, and the LORD your God brought you out from there with a mighty hand and an outstretched arm.
  10. Honor your father and your mother, as the LORD your God commanded you.
  11. You shall not murder.
  12. [Y]ou shall not commit adultery.
  13. [Y]you shall not steal.
  14. [Y]ou shall not bear false witness against your neighbor.
  15. [Y]ou shall not covet your neighbor’s wife. And you shall not desire your neighbor’s house, his field, or his male servant, or his female servant, his ox, or his donkey, or anything that is your neighbor’s.

By the way, any Christian taking Saturday off from work is violating imperative number seven.

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