Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : python (at) *nospam* invalid.org (Python)
Groupes : sci.mathDate : 06. Sep 2024, 15:42:33
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Organisation : CCCP
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Le 06/09/2024 à 14:29, Crank Wolfgang Mückenheim, aka WM a écrit :
On 06.09.2024 14:26, joes wrote:
Am Fri, 06 Sep 2024 14:22:00 +0200 schrieb WM:
Example: The function f(x) = [x] increases at every x ∈ ℕ by 1.
The function NUF(x) increases at every x = unit fraction 1/n by 1. It
does not increase at 0 because 0 is not a unit fraction.
What exactly happens at those points?
The simplest action possible in mathematics: f --> f + 1
What you wrote above is a function associating a function to a function.
For instance [f -> f + 1](sin) = [x -> sin(x) + 1]
Definitely NOT what you intended. Try to write what you mean in proper
algebra (Hint: you'll notice you can't).
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