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Problems with proving exponential distance function

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#inequality #exponential-function #absolute-value #triangle-inequality
46
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exponential squared

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#exponential-function
16
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Rework an exponential equation for plotting purposes

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#exponential-function
41
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Proof that $\sum_{j=1}^{\infty} \frac{\theta^j}{j!} \cdot e^{-\theta} \cdot j$ reduces to $\theta$

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#solution-verification #taylor-expansion #exponential-function
66
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Proof that $\sum_{j=1}^{\infty} \frac{\theta^j}{j!} \cdot e^{-\theta} \cdot j^2$ reduces to $(\theta^2 + \theta)$

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#solution-verification #taylor-expansion #exponential-function
88
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Exponential regression

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#systems-of-equations #exponential-function #regression
76
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System of equations where x and y are real numbers

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#logarithms #contest-math #systems-of-equations #exponential-function #nonlinear-system
51
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Sum over exponential function lying within the argument of another exponential function

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#summation #exponential-function #special-functions #closed-form #dirac-delta
93
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A question about a limit of exponential function

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#calculus #limits #analysis #exponential-function
63
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Solutions to Some Logarithmic Inequalities

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#algebra-precalculus #functions #inequality #logarithms #exponential-function
80
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Solving $a_1 b_1^x + a_2 b_2^x = c$ the sum of exponentials

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#real-analysis #exponential-function
69
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Why does $y = \frac{2A\sin(x\pi \ell)}{\pi^2 \ell (1-\ell) x^2}$ simplify to $y=c/x$ as $\ell$ approaches $0$?

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#algebra-precalculus #exponential-function #approximation
51
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How does "Power over Factorial" imply convergence of $e^x$?

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#real-analysis #exponential-function
30
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Inequality of exponential function compared to its rational (Padé) approximation

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#inequality #exponential-function #pade-approximation
40
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Equation containing $y^y$ simplifies to a linear equation in a convex optimization problem

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#optimization #exponential-function #convex-optimization

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