Sep 26, 2008
Proofs Without Words
Zoltan Szekely
Mathematical proofs are about statements involving definitions and simple properties put together in a way that convinces about the truthfulness of the statement. Some math proofs can be long and tedious to read. In this talk we'll see mathematical proofs that can be done "without words"! How? We'll use pictures, graphs, sketches that will simply speak for themselves. Come and learn with us how to read mathematics -- without words!
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Nov 21, 2008
The Paradox of Twins Described in a Three-dimensional Space-time Frame
Tower Chen
After traveling from outer space, the elder twin looks younger than his brother waiting on the earth based on the calculation from the formula of Special Relativity. There is no absolute reference coordinate in the universe. Theoretically, the younger twin could describe the motion of his brother flying forward, vice versa, the elder twin could describe the motion of his brother flying backward. If the younger twin felt his brother looking younger, the older twin should also felt his brother looking younger. It is hard to comprehend that in reality the elder twin actually looks younger than the younger twin. The motion of an object can be described in a three-dimension space-time frame by embedding time into space. It leads a better understanding the paradox of twins based on the calculation from the graphic method in the 3-d s-t frame.
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