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How to prove continuity, single-valuedness and continuos slope of a function in MATLAB?

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Hi, I would like to test a function's acceptable character to the Schrödinger eqn, and have the three following criteria to check:
1. That the function f(x) is single-valued everywhere 2. That the function f(x) is continuous. 3. That the derivative of f(x) is continuous everywhere.
How can I find this out in MATLAB on the example case f(x) = e^ix*cos(x) ?
Thanks!
  2 Comments
Adam
Adam on 7 Nov 2017
Surely those are analytical questions since you have an analytical function. Matlab works with discrete data so trying to use it to prove something is continuous doesn't seem worthwhile.

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