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Skans
28 Jan 2025 4:09 pm
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Vegas » 28 Jan 2025, 4:40 pm » wrote: If you were doing problems in Diff equations, then you have what it takes for advanced math.

My favorite was topology. That is more pure math than applied math. Though it does have some fantastic applications. Check it out - in topology, a math professor proved that you could turn a sphere inside out without cutting a slit in the sphere. That is to say, if you had a tennis ball, and the ball was made of zero resistance malleable material, then it is theoretically possible to turn it inside out without cutting a slit in it. That blows my mind.
Yeah, it blows my mind too!  Physically, I can't picture it in my mind.  Mathematically, I think I'd be crying in my soup. Certainly very interesting, though.  Now you will have me thinking about turning a sphere inside out while I'm trying to fall asleep tonight. About the best I think I can achieve with that is a good nights sleep.
 
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