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Functional Square Root of Digit Sum?

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#recreational-mathematics #functional-equations #decimal-expansion #fractional-iteration
568
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Find $f(f(\cdots f(x)))=p(x)$

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#functions #polynomials #functional-equations #recursion #fractional-iteration
224
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Is there any definition of the sum of $n$ summands, when $n$ is not a natural number?

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#calculus #summation #fractional-iteration
194
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Is the Schröder Equation valid for higher dimensional iterated maps?

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#functional-equations #function-and-relation-composition #fractional-iteration
314
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Find $f(x)$ satisfying $f(f(x))=x^x$

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#functional-equations #fractional-iteration
204
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Fourier transform and fourth root

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#functional-analysis #fourier-analysis #fourier-transform #convolution #fractional-iteration
36
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How can I create currency note count calculator if I have currencies which has decimals and total amount which also has decimals?

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#recreational-mathematics #fractional-iteration
97
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Real numbers arbitrary closeness (iterated fraction)

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#fractional-iteration
109
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A conjectured identity for the fractional iterates of $\sqrt{x}+2$

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#fixed-point-theorems #conjectures #fractional-iteration
81
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Functions $f$ that $f(f(x))=x$, but $f:S^1\to S^1$

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#calculus #functional-equations #fractional-iteration
73
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Iterative functional equation $f \circ f = f$

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#analysis #functional-equations #fractional-iteration
183
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Uniquely extended fractional iterations of $\exp$

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#analysis #exponential-function #tetration #power-towers #fractional-iteration
38
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Maximally connected subset is surjective

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#general-topology #complex-analysis #functional-analysis #fixed-point-theorems #fractional-iteration
237
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A method to iterate the exponential function a non-integer number of times?

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#taylor-expansion #exponential-function #analytic-continuation #fractional-iteration
284
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nonlinear system of equations solved by iteration method does not converge

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#numerical-methods #fixed-point-theorems #iterated-function-system #fractional-iteration

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