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Expressing complex numbers in exponential form

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#complex-numbers #exponential-function
74
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Show that $n!\ge2^{\left(n-1\right)}\left(n-2\right)^2$ by using induction

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#inequality #induction #exponential-function #factorial
124
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Find $x\in \mathbb{R}$ so $e^{x}-1=x(e-1)$

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#real-analysis #exponential-function #roots
251
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The system of exponential equations

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#algebra-precalculus #exponential-function #systems-of-equations
619
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How to solve $x3^x=18$ algebraically

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#exponential-function #roots #exponentiation #lambert-w
785
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Chi-Squared 2df = 2nλ/λˆ MGF Needed?

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#exponential-function #moment-generating-functions #chi-squared
48
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Hyperbolic Sine Function

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#exponential-function
201
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Double integral related to exponential function

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#calculus #integration #multivariable-calculus #exponential-function #improper-integrals
216
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Prove that $2^n > 10n^2$ for sufficiently large $n$ using calculus

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#calculus #limits #elementary-number-theory #exponential-function
465
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Find the minimum of $|e^{z^{2}}|$ for those $z$ with $|z|\le 1$

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#complex-analysis #optimization #complex-numbers #exponential-function
96
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Integral related to exponential function

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#calculus #real-analysis #complex-analysis #exponential-function #improper-integrals
1.6k
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Proof by Induction for Exponential Term

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#inequality #proof-writing #induction #exponential-function #integers
119
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Solve $e^x=1.25 (1+x) $.

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#exponential-function
428
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On the conjecture that, for every $n$, $\lfloor e^{\frac{p_{n^2}\#}{p_{n^2 + 1}}}\rfloor $ is a square number.

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#prime-numbers #exponential-function #conjectures #square-numbers #primorial
771
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Show the matrix exponential for second-order system is equal to the product of 2 series.

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#sequences-and-series #taylor-expansion #exponential-function

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