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the quality of n00bs is definitely declining. who can we blame?
Quote from: odeon on August 29, 2007, 12:30:22 AMthe quality of n00bs is definitely declining. who can we blame?Some may be looked upon as junk food, maybe?
ozy, i believe.
hadron's a fledgling mathematician too.
I AM a mathematician! so ask away
that the study of land?
Topology is the mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects. Tearing, however, is not allowed. A circle is topologically equivalent to an ellipse (into which it can be deformed by stretching) and a sphere is equivalent to an ellipsoid. Similarly, the set of all possible positions of the hour hand of a clock is topologically equivalent to a circle (i.e., a one-dimensional closed curve with no intersections that can be embedded in two-dimensional space), the set of all possible positions of the hour and minute hands taken together is topologically equivalent to the surface of a torus (i.e., a two-dimensional a surface that can be embedded in three-dimensional space), and the set of all possible positions of the hour, minute, and second hands taken together are topologically equivalent to a three-dimensional object. The definition of topology leads to the following mathematical joke (Renteln and Dundes 2005): Q: What is a topologist? A: Someone who cannot distinguish between a doughnut and a coffee cup.