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A Unified Calculus?

DeAshcroft writes "Science Daily is reporting that one Martin Bohner's work, "Asymptotic Behavior of Dynamic Equations on Time Scales," has made significant waves (ahem) in the mathematical community. The work is "part of a fairly new and exciting effort to unify continuous and discrete calculus" I guess it's time to re-learn long division."

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  1. cool by apsmith · · Score: 3, Interesting

    I remember from math competitions way back one of my favorite tricks was when an iterative problem looked like it lended itself to a difference equation, to solve the related continuous calculus problem, and then use that solution as a starting point for the difference-equation solution. Always worked much faster than anything else I could think of... Of course I was no expert in the calculus of difference equations, but this sounds really neat. And given how much application both calculus and difference equations have had in other areas of science, this could have big implications once somebody figures out what they are :-)

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    Energy: time to change the picture.