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Home » Statistical bounds and error estimates (if possible) - American Beagle Club

Statistical bounds and error estimates (if possible) - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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Let’s set $ a = b = c = 0 $:
f(0) = 3f(0) \Rightarrow 2f(0) = 0 \Rightarrow f(0) = 0
Now, set $ c = 0 $:
This is the **Cauchy Functional Equation**, whose solutions over $ \ma...
Under the Axiom of Choice, there are **infinitely many** additive func...
However, in the context of a math olympiad, and given the phrasing fin...
Thus, the number of such functions is equal to the number of real cons...
However, if the problem is interpreted as asking for the number of **c...
Hence, the number of such functions is $ \boxed{\infty} $, assuming no...
Question: Let $ x, y, z $ be positive real numbers such that $ x + y +...

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