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The least value of $b$ such that $2^{3^{\cdots^a}}\leq b^{(b-1)^{\cdots^2}}$

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#inequality #exponential-function
183
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Solving for exponent with multiple bases

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#exponentiation #exponential-function
28.3k
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Compound interest formula and continuously compounded interest formula derivation

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#algebra-precalculus #exponential-function #applications
579
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If $f$ is entire and $\exp(f(z))$ is a polynomial, then $f$ is constant.

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#complex-analysis #polynomials #exponential-function
82
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Derivation of this inequality

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#real-analysis #inequality #exponential-function
138
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Differentiation of exponential function?

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#ordinary-differential-equations #derivatives #exponentiation #exponential-function
569
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Evaluating the precision in the calculation of $\mathrm{e}$

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#calculus #sequences-and-series #analysis #exponential-function #approximation
558
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Proving continuity of exp(x)

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#analysis #continuity #exponential-function
238
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Showing $(n+1)^n<e^nn!$ by induction

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#inequality #induction #exponential-function #factorial
91
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Which Expression of e Converges Fastest?

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#convergence-divergence #exponential-function
864
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Are all fractional deriviatives/integrals of $e^x$ equal to $e^x$?

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#exponential-function #fractional-calculus
349
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Complex exponential

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#complex-numbers #exponentiation #exponential-function
291
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Sum of exponential variables: Time from last arrival till a fixed time

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#probability-theory #stochastic-processes #exponential-function
6.5k
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Express $-1+i$ in exponential form.

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#complex-numbers #exponential-function
742
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Proof e is irrational — Choice of Sign of m/n = e and Uncanny Step

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#exponential-function #irrational-numbers #proof-explanation

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