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Inequality between two functions

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#inequality #exponential-function
322
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Why is a logarithmic function one to one? (and exponential function).

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#logarithms #exponential-function
31
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The following equation stems from Maxwell thermodynamic relations, I need to reduce it to the ideal gas law?

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#logarithms #exponential-function #physics #mathematical-physics
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What is the formula to convert nonlinear bi-exponential decay function to linear by log transform

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#logarithms #exponential-function #physics #nonlinear-optimization #upper-lower-bounds
138
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Expectation normal distribution

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#exponential-function #normal-distribution #expectation
262
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Prove that $\lim_{n \to \infty} \frac{n}{(n!)^\frac{1}{n}} = e $

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#real-analysis #sequences-and-series #exponential-function
41
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Help with exponential complex number problem

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#complex-numbers #exponential-function
85
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Prove fractional part of $n!e$ $<\frac1n$.

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#exponential-function
70
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Dilution of coffee in a mug placed under the tap

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#functions #exponential-function
105
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Say how many solutions an equation has

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#exponential-function
159
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What is the derivative of this function: $\frac {d}{dx}x^{\lfloor{x}\rfloor}?$

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#calculus #derivatives #exponential-function #ceiling-and-floor-functions
227
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Finding $y=Ae^{kt}$ given $dy/dt$ at two points.

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#exponential-function
240
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Compute $P(T< \infty)$

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#probability-theory #exponential-function #martingales #random-walk #stopping-times
59
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Laurent Series of $\frac{e^z}{z(1+z^2)}$ [at z=0]

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#complex-analysis #exponential-function #laurent-series
241
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Find the stable manifold of this system.

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#manifolds #exponential-function #dynamical-systems #self-learning

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