List questions from approximation

Published on 29 Mar 2026 - 23:24

542

Views

Is there a formula to approximate $\pi$ in the form of $\dfrac{p}{q}$?

Published on 30 Mar 2026 - 0:21

23

Views

Selecting $x_0$ in approximations using Taylor polynomials?

Published on 03 Oct 2015 - 11:41

1.4k

Views

Perturbation theory - Algebraic equations (Repeated roots)

Published on 27 Mar 2026 - 18:07

782

Views

why $ \rm{lcm}[1,2,3,\cdots,n]\in (2^n,4^n)$

Published on 24 Feb 2026 - 2:11

1.1k

Views

Approximation of the solution $n$ to the equation $n \log n = 100\,000$

Published on 05 Oct 2015 - 5:35

1.7k

Views

Determining the parameters of a differential equation

Published on 25 Mar 2026 - 16:00

120

Views

Verify proof of $ \left( 1 + \frac{x}{n} \right)^n < e^x \,\text{and} \, e^x < \left(1 - \frac{x}{n}\right)^{-n}$

Published on 05 Oct 2015 - 19:56

1.6k

Views

How to approximate the division by a number like prime number?

Published on 05 Oct 2015 - 21:51

187

Views

Piecewise linear approximation of a (low order) trigonometric polynomial, with quantization

Published on 06 Oct 2015 - 21:16

818

Views

Rigorous rationale for the Pade Approximant?

Published on 26 Mar 2026 - 16:59

1.6k

Views

find an approximate solution, up to the order of epsilon

Published on 01 Mar 2026 - 21:40

138

Views

Algebraic Error In My Work for Secant Method

Published on 31 Mar 2026 - 21:45

44

Views

Write $a$ as a function of $n$ when $\sum_{i=1}^{n} (i + a)^{-1} = 1$

Published on 16 Oct 2015 - 0:05

33

Views

How is inequality/approximation obtained?

Published on 04 Mar 2026 - 3:52

List Question

Estimating the area under the graph

Is there a formula to approximate $\pi$ in the form of $\dfrac{p}{q}$?

Selecting $x_0$ in approximations using Taylor polynomials?

Perturbation theory - Algebraic equations (Repeated roots)

why $ \rm{lcm}[1,2,3,\cdots,n]\in (2^n,4^n)$

Approximation of the solution $n$ to the equation $n \log n = 100\,000$

Determining the parameters of a differential equation

Verify proof of $ \left( 1 + \frac{x}{n} \right)^n < e^x \,\text{and} \, e^x < \left(1 - \frac{x}{n}\right)^{-n}$

How to approximate the division by a number like prime number?

Piecewise linear approximation of a (low order) trigonometric polynomial, with quantization

Rigorous rationale for the Pade Approximant?

find an approximate solution, up to the order of epsilon

Algebraic Error In My Work for Secant Method

Write $a$ as a function of $n$ when $\sum_{i=1}^{n} (i + a)^{-1} = 1$

How is inequality/approximation obtained?

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