Wednesday, September 18, 2013

Mathematical Continuity


How deep does the continuity go?
From zero and take 1 step you might know
to a point with a line is is not a function though
A tangents depth must one know

Tangents are as good as an arch
Deper and deeper your imagination will march
Can a line infinitesimally take shape
Nearness implies a smooth fate

We see continuity at every place
Things are a smooth manifold face
If you pick a point there is another that captures
epsilon and delta lines a proof that matters

All that is to looked at by another
Hope your calculations wont bother
Almost everything is a manifold
So I will stop before I get too old!


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