A Computer Algorithm for Randomization

Back in the early days of computers, one of the more popular methods of generating a sequence of random numbers was to employ the following scheme: 1. Choose a starting number between 0 and 1. 2. Multiply the starting number by 4 ("stretch" it). Subtract 4 times the square of the starting number from the quantity obtained in step 2 ("fold" the interval back on itself in order to keep the final result in the same range). 3.Given a starting number between 0 and 1, we can use the proce-dureâ€...

 Teaching as Gardening

If a teacher is a gardener, than a student is the seed. The classroom serves as the greenhouse creating a warm, safe environment for growth. An administrator is the soil, serving as a strong nutrient base for the seed to root. The parents are the water, providing live and maintaining it. When the water/parent is not plentiful, the seed will suffer. The curriculum is the sun. It shines knowledge to ensure growth. The aspects of the curriculum that some students do not make sense of can be cons...

 The Monte Carlo Method and Evolutionary Algorithms

Back then, I thought of one thing: Have you heard of the Monte Carlo method? Ah, it’s a computer algorithm often used for calculating the area of irregular shapes. Specifically, the software puts the figure of interest in a figure of known area, such as a circle, and randomly strikes it with many tiny balls, never targeting the same spot twice. After a large number of balls, the proportion of balls that fall within the irregular shape compared to the total number of balls used to hit the ci...

 Aristotle Was About Quantity, Not Quality, of Thought

I don't doubt that Aristotle thought more in actual footage during his life than any other person ever thought in the same elapsed time of sixty-two years. I do say, however, that any prize he deserves for so doing should be for quantity, not quality, as a great deal of it was spinach. He would sit around and think like one possessed, or he would walk around and think, since he was a Peripatetic, as they called it in those days. And then he would announce that Swallows spend the winter under ...

 Q

The hypothesis of {108} abstraction says that every living creature is characterized by a number Q which is a measure of the complexity of the creature. To measure Q, we do not need to know anything about the internal structure of the creature. Q can be measured by observing from the outside the behavior of the creature and its interaction with its environment. Q is simply the quantity of entropy produced by the creature's metabolism during the time it takes to perform an elementary respons...

 Astronomy affords the most extensive example of the conne...

Astronomy affords the most extensive example of the connection of physical sciences. In it are combined the sciences of number and quantity, or rest and motion. In it we perceive the operation of a force which is mixed up with everything that exists in the heavens or on earth; which pervades every atom, rules the motion of animate and inanimate beings, and is a sensible in the descent of the rain-drop as in the falls of Niagara; in the weight of the air, as in the periods of the moon.

 Commit Metaphysics to the Fire

If we take in our hand any volume; of divinity or school metaphysics, for instance; let us ask, 'Does it contain any abstract reasoning concerning quantity or number?' No. 'Does it contain any experimental reasoning Duceming matter of fact and existence?' No. Commit it then to the flames: for it can contain nothing but sophistry and illusion.

 Heat is a Substance

We recognize in the concept of heat which appears here a similarity to other physical concepts. Heat is, according to our view, a substance, such as mass in mechanics. Its quantity may change or not, like money put aside in a safe or spent. The amount of money in a safe will remain unchanged so long as the safe remains locked, and so will the amounts of mass and heat in an isolated body. The ideal thermos flask is analogous to such a safe. Furthermore, just as the mass of an iso- lat...

 1 = 0.999999999…

This simple equation, which states that the quantity 0.999, followed by an infinite string of nines, is equivalent to one, is the favorite of mathematician Steven Strogatz of Cornell University. "I love how simple it is — everyone understands what it says — yet how provocative it is," Strogatz said. "Many people don't believe it could be true. It's also beautifully balanced. The left side represents the beginning of mathematics; the right side represents the mysteries of infinity."

 "Sagan" as a Unit of Measurement

Carl Sagan was an American cosmologist, astronomer, and absolute tireless champion of the sciences in the public sphere. He was the author, co-editor, or editor of almost two dozen science books, and the host the award-winning 1980 television series Cosmos. Sagan was well known for his excitement in talking about science, especially cosmological issues, and would strongly enunciate the M sound in millions and the B sound in billions to emphasize just how big the numbers were and properly diff...