Are there any real numbers that are NOT algebraic, i.e., expressible as the root of a non-zero polynomial with integer coefficients? In fact,...
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Computability of Real Numbers
We can write a computer program that will successively print out the digits of the decimal expansion of Pi. We...
Continue reading...Fermat’s Last Theorem
There are lots of Pythagorean triples; triples of whole numbers which satisfy:x2 + y2 = z2. But are there any which satisfyxn + yn =...
Continue reading...Projective Planes
Most of you know how to make a Mobius band—take a strip of paper and glue the ends with a...
Continue reading...Birthday Problem
How many people do you need in a group to ensure at least a 50 percent probability that 2 people...
Continue reading...Suspended Rope Trick
What is the shape of a suspended rope? Is there some function that describes it? Answer: it’s the cosh curve!...
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