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Proposition 4.5.4 from Tao's Analysis II

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#real-analysis #exponential-function
110
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Is it possible to find that $f(0) = 1$ with the only hypothesis $f(x) = f'(x)$?

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#integration #analysis #derivatives #exponential-function
124
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$ \int_{-\pi}^{\pi} e^{x \sin(t-\tau)} d\tau $

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#calculus #integration #definite-integrals #exponential-function
46
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Filtering Aquarium Water

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#exponential-function
38
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Exponent Proportional Equations

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#exponential-function
1.1k
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Does the exponential of a function converge? What can we do with it?

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#real-analysis #functions #convergence-divergence #exponential-function
50
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How do I define a function that's first exponential and then logarithmic?

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#exponential-function #hyperbolic-functions
60
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Basis functions that are one at a point and zero at others

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#calculus #functions #derivatives #exponential-function #finite-element-method
55
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Customizing the bump function

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#general-topology #analysis #functions #exponential-function #finite-element-method
173
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An analytic solution to solve $x^9=3^x$

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#calculus #algebra-precalculus #logarithms #exponential-function
25
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$\sum_{j=0}^\infty(-1)^j\frac{1 -e^{(aj^2 + b)M}}{1-e^{aj^2 +b}}$?

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#complex-analysis #exponential-function #analytic-combinatorics #alternating-expression
46
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Exponential Distribution - Memoryless Property - Intuition

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#statistics #exponential-function
42
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Finding $ \lim_{n \to \infty } \frac{1 + n + \frac{n^2}{2!} + \cdots + \frac{n^n}{n!}}{e^n} $

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#calculus #probability-theory #limits #taylor-expansion #exponential-function
48
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How does this integral based on the $\Phi$ function equal $x$?

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#calculus #probability-distributions #exponential-function #normal-distribution #cumulative-distribution-functions
104
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Exponential and Logarithmic Expressions

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#logarithms #contest-math #systems-of-equations #exponential-function

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