List questions from approximation

Published on 15 Apr 2026 - 11:11

76

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Approximation of $\frac{1-x}{1+x}$ if $x \ll 1$?

Published on 16 Apr 2026 - 1:16

415

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Order of Backward Euler Method

Published on 12 Apr 2026 - 10:17

105

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How can I approximate $t\to \sin(t)$ function for art purposes using computationally cheap alternatives?

Published on 09 Apr 2026 - 6:15

24

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$\underset{n \to \infty}{\text{lim}} (1-p)^{n-d-1}$, given $p = o(n^{-(d+1)/d})$, and $d \geq 0$ a constant.

Published on 17 Apr 2026 - 3:07

136

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Madelung Constant

Published on 10 Apr 2026 - 10:41

78

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Approximation to the pth root of an integer N

Published on 15 Apr 2026 - 13:22

117

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Gaussian integral: $ \int_{-\infty}^{\infty} x^2\left\{ \Phi (a + b x) \right\}^2 \phi(x) \mathrm{d}x $

Published on 17 Apr 2026 - 3:01

128

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Prove or disprove: $7 \lt \sqrt{3} + \sqrt{27}$

Published on 17 Apr 2026 - 5:23

101

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Show that the sum $\sum_{k=0}^nC_n^k x^k (1-x)^{n-x}(-1)^k f(\frac{k}{n})$ tends to $0$ when $n\to \infty$

Published on 15 Apr 2026 - 19:31

39

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Finite element approximation of the cofactor matrix of the Jacobian

Published on 14 Apr 2026 - 5:33

313

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Does Taylor series expansion minimize maximum error for polynomial aproximation?

Published on 12 Apr 2026 - 5:14

443

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In what sense is Pade aproximation "best"

Published on 25 Mar 2026 - 6:01

590

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Functional Analysis: Kernel-Based Approximation

Published on 10 Apr 2026 - 4:45

230

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Converting Chebyshev expansion into a regular polynomial

Published on 12 Apr 2026 - 19:48

List Question

Approximate $\log_{10}$ values without a calculator

Approximation of $\frac{1-x}{1+x}$ if $x \ll 1$?

Order of Backward Euler Method

How can I approximate $t\to \sin(t)$ function for art purposes using computationally cheap alternatives?

$\underset{n \to \infty}{\text{lim}} (1-p)^{n-d-1}$, given $p = o(n^{-(d+1)/d})$, and $d \geq 0$ a constant.

Madelung Constant

Approximation to the pth root of an integer N

Gaussian integral: $ \int_{-\infty}^{\infty} x^2\left\{ \Phi (a + b x) \right\}^2 \phi(x) \mathrm{d}x $

Prove or disprove: $7 \lt \sqrt{3} + \sqrt{27}$

Show that the sum $\sum_{k=0}^nC_n^k x^k (1-x)^{n-x}(-1)^k f(\frac{k}{n})$ tends to $0$ when $n\to \infty$

Finite element approximation of the cofactor matrix of the Jacobian

Does Taylor series expansion minimize maximum error for polynomial aproximation?

In what sense is Pade aproximation "best"

Functional Analysis: Kernel-Based Approximation

Converting Chebyshev expansion into a regular polynomial

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