Archive for November, 2006

Turkey Makes you Sleepy

Thursday, November 23rd, 2006

sleepy turkey

Turkey does have the makings of a natural sedative in it, an amino acid called tryptophan. Tryptophan is an essential amino acid, meaning that the body cannot manufacture it. The body has to get tryptophan and other essential amino acids from food. Tryptophan helps the body produce the B-vitamin niacin, which, in turn, helps the body produce serotonin, a remarkable chemical that acts as a calming agent in the brain and plays a role in sleep. So you might think that if you eat a lot of turkey, your body would produce more serotonin and you would feel calm and want a nap.

Pooping in the Hot Tub

Friday, November 10th, 2006

hot tub poop accident

INTERWEB VIDEO ALERT: An attractive woman in a bikini bottom (and a brown sweater on top??) is sitting in a hot tub with some friends. Suddenly she rises out of the hot tub and a brown cloud appears in the water around her bikini bottom. Can it be that she has really pooped in a hot tub? Discussions over the video’s veracity abound. Hot tub pooping was invented by Paris Hilton. See the full Youtube video clip.

Blair Neurons

Saturday, November 4th, 2006

neurons

The evident mechanism of her thinking did not evoke pictures of an anatomically normal brain. Instead of the usual materia gris (with all its lobes and hemispheres, corpuses and meatuses), her smallish and pretty skull seemed rather to house a creature of altogether inscrutable alienness. I have no picture of my own brain. That is an impossible perspective. But the thoughts of others usually appear to me as flashes of light, as tiny “pops” happening all over the surface and interior of their brains. The greater or lesser intelligence of a brain is visible in the overall “liveliness” of the activity (the frequency and extensiveness of the flashing), and by the presence of eccentric and interesting sequences of flashing, which mark the unlikely paths of truly exotic thoughts… @


Mandelbrot

Saturday, November 4th, 2006

mandelbrot set Z = Z2 + C

The Mandelbrot Set, named after its discoverer French Mathematician Benoit Mandelbrot (1924- ), is a fractal. Fractals are objects which exhibit “self-similarity” at various scales. Optically magnifying a fractal will reveal smaller scale details similar to the gross characteristics. Although the Mandelbrot Set is self-similar at magnified scales, the fine details are not always identical to the gross forms. The Mandelbrot set is said to be “infinitely complex”, because the number of repeated “designs” rises toward infinity, along with the number of iterations. For all the mathematical, philosophical and theological mysticism which surrounds the Mandelbrot Set, the process of generating it is based on an extremely simple equation involving complex numbers.

Understanding Complex Numbers

The Mandelbrot Set is a mathematical set, a collection of numbers — a collection of complex numbers, to be precise. Complex numbers have a real part plus an imaginary part. The real part is an ordinary number, for example, -2. The imaginary part is a real number multiplied by a special number called i, or some multiple of i, for example, 3i. An example of a complex number would be -2 + 3i.

The number i was invented because no real number can be squared (multiplied by itself) and result in a negative number. This means that you cannot take the square root of a negative number and get a real number. The number i was created in order to be able to express numbers which when squared result in negative numbers. The number i is defined as the square root of -1. This means that i squared is equal to -1. So when you square an imaginary number you can get a negative number. For example, 3i squared is -9.

The complex number planeReal numbers can be represented on a one dimensional line called the real number line. Negative numbers like -2 are plotted to the left of zero and positive numbers like 2 are plotted to the right of zero. Any real number can be graphed on the real number line.

Since complex numbers have two parts, a real one and an imaginary one, we need a second dimension to graph them. We simply add a vertical dimension to the real number line for the imaginary part. Since our graph is now two-dimensional, it is a plane, the complex number plane. We can graph any complex number on this plane. The colored dots on this graph represent the following complex numbers [2 + 1i], [-1.5 + 0.5i], [2 - 2i], [-0.5 - 0.5i], [0 + 1i], and [2 + 0i].

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