Question

Matlab code, approximate an integral using Monte-Carlo method.

score 229 · Answer 1 · 2026-03-28 17:04:57

229

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Matlab code, approximate an integral using Monte-Carlo method.

Published on 28 Mar 2026 - 17:04

score 418 · Answer 2 · 2026-04-01 00:51:23

418

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Tight approximation of a Torus Knot length

Published on 01 Apr 2026 - 0:51

score 2.6k · Answer 3 · 2026-04-02 01:06:45

2.6k

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How to calculate parameters of a logarithmic approximation trendline?

Published on 02 Apr 2026 - 1:06

score 63 · Answer 4 · 2026-04-01 06:52:37

63

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Avoid loosing precision with the Binomial Distribution /Bayes?

Published on 01 Apr 2026 - 6:52

score 556 · Answer 5 · 2026-03-28 11:34:12

556

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is it true that $ \frac{1}{\epsilon}\ln (1- \epsilon x) \approx - \frac{1}{1-\epsilon}x $?

Published on 28 Mar 2026 - 11:34

score 1.4k · Answer 6 · 2026-03-31 03:35:08

1.4k

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Can you determine the average second derivative from a set of points?

Published on 31 Mar 2026 - 3:35

score 52 · Answer 7 · 2026-03-28 12:14:48

How to prove/disprove $ \sum_{i=1}^{n} \frac{a_i}{ \sum_{j=1}^{i} a_j } \approx \log \sum_{i=1}^{n} a_i, \quad a_i \in \mathbb{N}^+ $?

score 1k · Answer 8 · 2015-11-17 05:01:22

1k

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Can I get an approximation for $(1-x)^n$, where $0<x<1$, $n\gg 1$?

Published on 17 Nov 2015 - 5:01

score 85 · Answer 9 · 2015-11-17 10:50:26

85

Views

Show $\int_0^tK(s) e^{-k(t-s)} \text{d}s\approx K(t)\int_{-\infty}^t e^{-k(t-s)} \text{d}s$ using Watson's lemma

Published on 17 Nov 2015 - 10:50

score 1k · Answer 10 · 2026-03-31 21:20:44

1k

Views

Exact and Poisson approximation for a binomial distribution

Published on 31 Mar 2026 - 21:20

score 697 · Answer 11 · 2026-04-01 15:39:27

697

Views

Approximating the compond interest for a loan

Published on 01 Apr 2026 - 15:39

score 96 · Answer 12 · 2026-03-28 10:16:31

96

Views

upper bound $\sum_{i=1}^n a_i (a_i-1)/2$ using a function of $\sum_{i=1}^n a_i$

Published on 28 Mar 2026 - 10:16

score 459 · Answer 13 · 2015-11-20 14:40:07

459

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Verify the polynomial of degree $≤ 4$ is exact: $\int_0^1f(x)dx ≈ {1\over90}[7f(0) + 32f({1\over 4}) + 12f({1\over 2}) + 32f({3\over 4}) + 7f(1)]$.

Published on 20 Nov 2015 - 14:40

score 497 · Answer 14 · 2015-11-21 18:32:10

497

Views

Find the formula $\int_0^1f(x)dx\approx A_0f(0)+A_1f(1)$ that is exact for all functions of the form $f(x)=ae^x+b\cos(\pi x/2)$.

Published on 21 Nov 2015 - 18:32

score 54 · Answer 15 · 2015-11-22 04:15:50

54

Views

Showing this approximation holds

Published on 22 Nov 2015 - 4:15

List Question

Matlab code, approximate an integral using Monte-Carlo method.

Tight approximation of a Torus Knot length

How to calculate parameters of a logarithmic approximation trendline?

Avoid loosing precision with the Binomial Distribution /Bayes?

is it true that $ \frac{1}{\epsilon}\ln (1- \epsilon x) \approx - \frac{1}{1-\epsilon}x $?

Can you determine the average second derivative from a set of points?

How to prove/disprove $ \sum_{i=1}^{n} \frac{a_i}{ \sum_{j=1}^{i} a_j } \approx \log \sum_{i=1}^{n} a_i, \quad a_i \in \mathbb{N}^+ $?

Can I get an approximation for $(1-x)^n$, where $0<x<1$, $n\gg 1$?

Show $\int_0^tK(s) e^{-k(t-s)} \text{d}s\approx K(t)\int_{-\infty}^t e^{-k(t-s)} \text{d}s$ using Watson's lemma

Exact and Poisson approximation for a binomial distribution

Approximating the compond interest for a loan

upper bound $\sum_{i=1}^n a_i (a_i-1)/2$ using a function of $\sum_{i=1}^n a_i$

Verify the polynomial of degree $≤ 4$ is exact: $\int_0^1f(x)dx ≈ {1\over90}[7f(0) + 32f({1\over 4}) + 12f({1\over 2}) + 32f({3\over 4}) + 7f(1)]$.

Find the formula $\int_0^1f(x)dx\approx A_0f(0)+A_1f(1)$ that is exact for all functions of the form $f(x)=ae^x+b\cos(\pi x/2)$.

Showing this approximation holds

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