How Math Explains the World.pdf
betical order). If there are N towns (other than home), it’s easy to see that we have to f ind the smallest of N numbers to find ...
Now the nearest town to home is B, the nearest unvisited town to B is A, then the salesman goes to C and returns home. The total ...
before the walls of the garbage-crunching machine started closing in, we’ve got a really bad feeling about them. They look as if ...
still get the fame and the $1 million. It’s a mystery why people are still trying to trisect the angle when it’s known to be imp ...
tion of vertices (the task squares in our diagram) with arrows connecting some of them to indicate which tasks must be performed ...
The Experts Weigh In In 2002, William Gasarch took a poll of a hundred leading experts in this area, asking the question whether ...
DNA Computers and Quantum Computers A poll of computer scientists showed that the vast majority believe that no polynomial-time ...
Settling for Good Enough Both DNA computing and quantum computing reach into the physical universe for assistance in solving a m ...
10 The Disorganized Universe The Value of the Unpredictable It might be thought that true unpredictability would be an absolute ...
middle-aged male driver with one accident in the past five years who wants to insure his 2005 Honda Civic. I sometimes have to b ...
ing the dice in which they spun frantically but did not tumble; this method was so profitable that the gambler was banned from c ...
pairs (heads-heads, heads-tails, tails-heads, tails-tails) occurs one-quarter of the time. The following sequence will do that. ...
The alphabet for the binary number system consists of the digits 0 and 1, and a number such as 1011.01 is the binary representat ...
the question arises as to how one would translate the message in pi. The digits used in expressing pi are a function of the base ...
10 shows that the number is bigger than^1 / 10 ^2 / 102 , .11... in base 2 shows that the number is bigger than^1 ⁄ 21 ^1 ⁄ 22 ...
our bodies. He would undoubtedly have been just as intrigued by the in- tricate way we are all connected to the real line. If a ...
resses and ingredients destined for the entrée ending up in the dessert. So, giving a nod to popular culture, we turn to the cha ...
This example shows that two points that start out very close together can, after a limited number of iterations, occupy position ...
Chaos in the Laboratory The butterf ly effect was actually discovered in conjunction with continu- ous processes. The developmen ...
type in all data by hand, and rounding things off would save substantial typing time. Lorenz figured, quite naturally, that roun ...
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