List questions from approximation

Published on 27 Mar 2026 - 3:07

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Identify the type of following system of equations and propose a numerical approximation method for it.

Published on 25 Mar 2026 - 12:33

138

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Positive real solution to $x^n=x+1$

Published on 24 Jul 2019 - 22:33

60

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Finding the $n$th derivative of $y-(y+1)^x=0$ wrt $x$ evaluated at $x=0$

Published on 26 Jul 2019 - 2:17

479

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An approximate solution to a differential equation $f'(x)^2 - \omega^2 f(x)^2 = G(x)$ for small $x$

Published on 26 Jul 2019 - 19:50

258

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Monte Carlo Method to integrate function

Published on 26 Mar 2026 - 17:28

48

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How to obtain the following approximation?

Published on 27 Jul 2019 - 22:26

287

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Why is the limit of the overshoot due to Gibb's Phenomenon not 0 if a fourier series with infinite terms has no overshoot?

Published on 29 Jul 2019 - 1:56

165

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Stirling approximation for sum of factorials

Published on 29 Jul 2019 - 18:17

445

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The saddle point method for a real-value multivariate function with several minimal

Published on 27 Mar 2026 - 9:37

199

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Approximation of $\arctan(x)$ with $\pi/2 + a/x + b/x^3$

Published on 02 Aug 2019 - 15:38

96

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Spectacular approximation to $\sum_{k=1}^n \{k \log_2 3\}$ where the curly brackets represent the fractional part

Published on 02 Aug 2019 - 23:39

165

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Approximation of $2^n$ for large $n$

Published on 05 Aug 2019 - 11:40

1.8k

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Calculating the nth super-root when n is greater than 2?

Published on 25 Mar 2026 - 7:49

48

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Can we approximate uniformly a function defined on a subset with smooth functions?

Published on 25 Mar 2026 - 22:09

List Question

Approximating Euler Product

Identify the type of following system of equations and propose a numerical approximation method for it.

Positive real solution to $x^n=x+1$

Finding the $n$th derivative of $y-(y+1)^x=0$ wrt $x$ evaluated at $x=0$

An approximate solution to a differential equation $f'(x)^2 - \omega^2 f(x)^2 = G(x)$ for small $x$

Monte Carlo Method to integrate function

How to obtain the following approximation?

Why is the limit of the overshoot due to Gibb's Phenomenon not 0 if a fourier series with infinite terms has no overshoot?

Stirling approximation for sum of factorials

The saddle point method for a real-value multivariate function with several minimal

Approximation of $\arctan(x)$ with $\pi/2 + a/x + b/x^3$

Spectacular approximation to $\sum_{k=1}^n \{k \log_2 3\}$ where the curly brackets represent the fractional part

Approximation of $2^n$ for large $n$

Calculating the nth super-root when n is greater than 2?

Can we approximate uniformly a function defined on a subset with smooth functions?

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