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May
13
comment Example for finite dimensional analog of integral transforms
@MattL.: I had a quick look at it and it looks promising - so first thank you! Could the $z$ also be real valued like e.g. $2$?
May
13
comment Example for finite dimensional analog of integral transforms
@MattL.: To be honest with you I don't know because I don't know the Z-transform well enough. But perhaps you could give an example that contains the elements I asked for in my question?
May
13
asked Example for finite dimensional analog of integral transforms
May
9
awarded  Notable Question
Apr
28
awarded  Nice Question
Apr
28
revised Intuition for complex eigenvalues
edited title
Mar
9
accepted Intuition and counterexamples for higher-order derivative test
Mar
8
comment Intuition and counterexamples for higher-order derivative test
I was just talking about your example: In our axiomatic system it is not defined at point $0$ because you are dividing by zero there! I am not talking about nature but only about things happening within the realms of pure maths. Yet could you give me a reference for the number of smooth functions and formulas accessible? Thank you again.
Mar
8
comment Intuition and counterexamples for higher-order derivative test
The intuition is appealing - thank you and +1! Considering your example: I disagree: It does not have a minimum at zero - it has literally nothing at zero because it is not defined there, neither are any of its derivatives (see also comments to my question).
Mar
8
comment Intuition and counterexamples for higher-order derivative test
Is it possible to find a counterexample where you don't have a separate case at the extreme value (as with this example at $0$)? This feels a little bit like cheating because the "original function" is not defined at this point.
Mar
8
comment Intuition and counterexamples for higher-order derivative test
Thank you Daniel: $x^{12}$ doesn't answer my question concerning an intuition. Even $x^4$ would work as an example, this is not the problem.
Mar
8
asked Intuition and counterexamples for higher-order derivative test
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