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Dec
17
comment Using the intuition from the arithmetic of cardinal numbers to ascribe values to functions on the extended real line?
@Paul Taylor I have read, but I think this is not a field of discrete mathematics...
Dec
17
revised Using the intuition from the arithmetic of cardinal numbers to ascribe values to functions on the extended real line?
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Dec
17
revised Using the intuition from the arithmetic of cardinal numbers to ascribe values to functions on the extended real line?
edited title
Dec
17
asked Using the intuition from the arithmetic of cardinal numbers to ascribe values to functions on the extended real line?
Dec
17
revised Do the mathematicians really know the exact values of what usually called “indeterminate forms”?
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Dec
17
comment Do the mathematicians really know the exact values of what usually called “indeterminate forms”?
@Todd Trimble it seems cardinal numbers arithmetic gives sense to a lot of these expressions ($0^0=1$ also often justified based on the set theory considerations).
Dec
17
comment Do the mathematicians really know the exact values of what usually called “indeterminate forms”?
Postulating $1^\infty=1$ and noticing that $1^{-\infty}=\frac1{1^\infty}=1$ also, we can re-write it as $1^{1/0}=1$. But $1=0^0$. So $0^{0\cdot\frac10}=1$, $0^{0/0}=1$. But the only number satisfying $0^x=1$ is $0$, so $0/0=0$
Dec
17
comment Do the mathematicians really know the exact values of what usually called “indeterminate forms”?
@Todd Trimble well, I am interested in exact values rather than limits (the limits can only hint at exact values). Discrete math deals with exact values so I very much appreciate if someone knows the values of these expressions accepted and used in discrete math fields and the justifications.
Dec
17
accepted Do the mathematicians really know the exact values of what usually called “indeterminate forms”?
Dec
17
comment Do the mathematicians really know the exact values of what usually called “indeterminate forms”?
@Joseph Van Name this is great for an answer! Can you make one?
Dec
17
revised Do the mathematicians really know the exact values of what usually called “indeterminate forms”?
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Dec
17
comment Do the mathematicians really know the exact values of what usually called “indeterminate forms”?
@Alex Degtyarev are these values somehow more convenient in discrete mathematics or set theory, like having $0^0=1$
Dec
17
revised Do the mathematicians really know the exact values of what usually called “indeterminate forms”?
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Dec
17
asked Do the mathematicians really know the exact values of what usually called “indeterminate forms”?
Oct
14
comment Prove that these two definitions of “natural” integration constant coincide when both converge
What do u think about this? mathoverflow.net/questions/184437/…
Oct
14
awarded  Yearling
Sep
14
comment how to solve f(f(x))=x^2+x
If it were $f(f(x))=x^2+2x$ then the solution would be $f(x)=(1+x)^{\sqrt{2}}-1$ For your function the closed-form solution may be not existing.
Sep
13
revised Why does the Gamma-function complete the Riemann Zeta function?
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Sep
13
revised Why does the Gamma-function complete the Riemann Zeta function?
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Sep
12
revised Multiplicative integral of $\Gamma(x)$
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