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When does sum of exponentially many exponential functions go to zero?

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#exponential-function #exponential-sum
98
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What is the solution sets for $(5x-2)^{x-5}=(5x-2)^{2x+1}$?

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#exponential-function #roots
492
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Is this a valid visualization of Euler's identity as a more generic pattern?

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#complex-numbers #exponential-function #visualization #pattern-recognition
407
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Estimate on the exponential integral of a complex argument (a reference needed)

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#reference-request #exponential-function #complex-integration #estimation
489
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Understanding orthogonality of functions in the context of Fourier series

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#trigonometry #fourier-analysis #exponential-function #fourier-series #orthogonality
126
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Why does $n^{\ln {\ln n}} = ({\ln n})^{\ln n}$?

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#logarithms #exponential-function
534
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Sigmoid function increasing for large values of variable x

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#functions #special-functions #exponential-function
1.1k
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Prove that $\lim_\limits{x\to 0}{\frac{e^x-1}{x}}=1$ without derivatives

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#limits #exponential-function #limits-without-lhopital
109
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Aggregating exponential growth rates

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#functions #exponential-function #finance
34
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$\frac{dy}{dx} \;$ of $\; \ln\!\left(y\right)=e^{3y}\sin\!\left(x\right)$

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#calculus #derivatives #exponential-function #implicit-differentiation
196
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How to understand the rate in a Continuous Time Markov Chain.

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#stochastic-processes #exponential-function #markov-chains
242
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How to solve this Limit Algebraically?

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#limits #exponential-function
164
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Find the derivative of the following function: $\displaystyle y(x) = (\ln{(2 x)})^{5 x}, \quad x> \frac{1}{2}$

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#calculus #derivatives #logarithms #exponential-function
513
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Exponential Functions $e^{-2x}$

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#exponential-function
672
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History of the power series for $e^x$ and compound interest

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#exponential-function #math-history #finance

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