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Why is the PMF of the Poisson distribution proportional to the exponential Taylor series.

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#probability #exponential-function #poisson-distribution
350
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Formal proof for the asymptotic of a partial sum

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#summation #asymptotics #exponential-function
31
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Show that for $a \neq b$ it holds: $\frac{e^b-e^a}{b-a} < \frac{e^b+e^a}{2}$

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#real-analysis #algebra-precalculus #analysis #logarithms #exponential-function
48
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$\sum_{i=0}^b \frac{n^i}{i!}$ =?

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#discrete-mathematics #taylor-expansion #exponential-function
284
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Does this prove that the factorial grows faster than the exponential?

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#limits #solution-verification #proof-writing #exponential-function #factorial
42
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Solve score equation with vectors inside an exponential function

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#vectors #exponential-function #problem-solving #parameter-estimation
169
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How do you solve this formula $(1 + 0.02X) ^{1/X} = 1.0161$

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#logarithms #exponential-function
74
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Derivative of a matrix times a vector within an exponential function

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#calculus #derivatives #exponential-function #matrix-calculus #matrix-exponential
32
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How to remove a hyperbolic trignometric function from an equation

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#trigonometry #exponential-function #inverse-function #hyperbolic-functions
34
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How to divide a catenary curve into parts of equal length?

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#multivariable-calculus #exponential-function #hyperbolic-functions #arc-length
146
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How to prove $x^{x/(1+x)}/(1+x)\geq1/2$

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#inequality #exponential-function #a.m.-g.m.-inequality #jensen-inequality
28
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Can we derive an exponential bound from a special limit of a function?

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#inequality #exponential-function #stability-theory
63
Views

Stanley 's example 1.1.11 and the exponential function

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#combinatorics #proof-explanation #power-series #exponential-function
58
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Why is y=In x the only logarithmic function with a gradient 1 at x=1?

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#logarithms #exponential-function
139
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How to solve the equation:$(2x)^{x}=14+x^{x}$?

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#exponential-function #lambert-w

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