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Exponential growth

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#exponential-function
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Expectation of some exponential function under Gaussian distribution

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#probability #probability-distributions #stochastic-processes #exponential-function
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evaluate the integral \[\int_{a>0}^{\infty}\frac{1}{1+x^{\alpha /2}}dx\]

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#improper-integrals #exponential-function #hypergeometric-function
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Evaluating the limit of $\frac{\lambda e^{x(t-\lambda)}}{t-\lambda}$ at infinities

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#integration #limits #exponential-function
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Integral over $\mathbb{R}^n$

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#integration #exponential-function
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Help with intuition on the exponential distribution

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#exponential-function #exponential-distribution
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Power-function relationship becomes linear in log-log space - what does this say about the inverse of the log function?

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#logarithms #exponential-function #inverse-function
54
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Integral $\int_{0}^{\infty} u^{2}\left(e^{-4x(u^{-12}-u^{-6})}-1\right) \,\mathrm du$

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#integration #definite-integrals #exponential-function
829
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If f(a+b) = f(a)f(b) then f is exponential

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#calculus #contest-math #exponential-function
78
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Exponential Modelling; growth rate percentage to find length of cylindrical snake in regards to level number of snake game?

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#logarithms #exponential-function #problem-solving #volume #mathematical-modeling
75
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Prove that $\sqrt [a_1] \alpha+\sqrt [a_2] \alpha+ \dots +\sqrt [a_n] \alpha \le \alpha +n-1.$

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#inequality #exponential-function #roots
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Inequality $\frac{8}{3^x-2}\geq 3^x$.

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#inequality #exponential-function #substitution
98
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Inequality proof regarding factorial

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#number-theory #inequality #exponential-function #factorial #a.m.-g.m.-inequality
32
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Limits and exponents

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#limits #exponential-function
373
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conditional expectation exponential function of Brownian motion

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#exponential-function #brownian-motion #finance #conditional-expectation #stochastic-analysis

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