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How to express $f(n\alpha)$ in terms of $f(\alpha)$

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#algebra-precalculus #exponential-function
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What type of functional equation is this?

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#calculus #ordinary-differential-equations #exponential-function #indefinite-integrals #problem-solving
415
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Exponential matrix decay

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#linear-algebra #matrices #exponential-function
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Uniqueness of exponential function

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#functions #exponential-function
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How do you prove $e^x=\exp x$ for real, non-rational $x$?

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#real-analysis #exponential-function
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On the integral of $e^{aix}$.

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#integration #exponential-function #exponentiation
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A curious property of $\operatorname{frac}(e\cdot k)$

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#exponential-function #recreational-mathematics #constants #fractional-part
173
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How to solve the following limit using mathematics Stirling $\lim\limits_{n\to \infty}\frac{n!}{n^ne^{-n}\sqrt{2\pi n}}=1$

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#calculus #limits #exponential-function #stirling-numbers
97
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Differing graphs for simple inverse exponential problem

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#exponential-function #graphing-functions #inverse
195
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How to solve an equation like $2{^x} + x = 2 $?

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#exponential-function
139
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How do i solve these exponential equations?

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#logarithms #exponential-function
286
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Solving $e^x - 3 = 0$

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#algebra-precalculus #exponential-function
345
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Solve $\sqrt x = 1 + \ln(3 + x)$ algebraically

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#algebra-precalculus #logarithms #exponential-function
735
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At what point does exponential growth dominate polynomial growth?

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#polynomials #exponential-function #computational-complexity
115
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Exponential equation on the set of real numbers

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#exponential-function

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