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21h
revised Need an operator with given properties
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21h
revised Need an operator with given properties
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21h
comment Need an operator with given properties
@Cameron Williams as $+\infty$
21h
comment Need an operator with given properties
@Cameron Williams zero to $x$ power.
21h
comment Need an operator with given properties
@Cameron Williams the class is any functions defined in the neighbourhood of zero (not necessarily in zero itself), icluding values from affinely extended real line.
21h
revised Need an operator with given properties
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21h
revised Need an operator with given properties
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21h
revised Need an operator with given properties
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21h
comment Need an operator with given properties
@Cameron Williams I need an operator that works primarily on analytic functions, but also desirably on functions of more generalized classes, including non-continuous in zero and distributions.
22h
revised Need an operator with given properties
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22h
asked Need an operator with given properties
1d
revised Are surreal numbers isomorphic to formal power series?
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1d
comment Are surreal numbers isomorphic to formal power series?
@Ross Millikan initially the question was about $No(\omega_1)$ which is hyperreal, but now I want to change this to $No$.
1d
revised Are surreal numbers isomorphic to formal power series?
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1d
revised Are surreal numbers isomorphic to formal power series?
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1d
comment Differentiable only at $x=0$ and $f'(0)>0$
The example of David Mitra satisfies the first two conditions.
1d
comment Differentiable only at $x=0$ and $f'(0)>0$
@user197137 the definition of derivative is $\lim_{h\to 0}\frac{f(x+h)-f(x)}h$. If it is positive, then there are infinitely many such h that $f(-h) < f(0)< f(h)$
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comment Differentiable only at $x=0$ and $f'(0)>0$
@user197137 for the function to have positive derivative, such h should exist.
1d
revised Using the rules that prove the sum of all natural numbers is $-\frac{1}{12}$, how can you prove that the harmonic series diverges?
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1d
answered Using the rules that prove the sum of all natural numbers is $-\frac{1}{12}$, how can you prove that the harmonic series diverges?