Question

How many terms it takes for the Leibniz series to converge to three decimal places of accuracy?

score 258 · Answer 1 · 2026-03-25 14:25:14

258

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How many terms it takes for the Leibniz series to converge to three decimal places of accuracy?

Published on 25 Mar 2026 - 14:25

score 899 · Answer 2 · 2026-03-25 10:54:16

899

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Does any continuous function on $[0,1]$ have a best $n$th degree polynomial approximation in the supremum norm?

Published on 25 Mar 2026 - 10:54

score 92 · Answer 3 · 2018-10-17 08:52:08

92

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construction of a step function which approximates the characteristic function

Published on 17 Oct 2018 - 8:52

score 309 · Answer 4 · 2026-03-25 06:32:43

309

Views

Linear stability analysis on a simple pendulum

Published on 25 Mar 2026 - 6:32

score 46 · Answer 5 · 2018-10-20 22:04:55

46

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Fourier Series approximation - find $G(x,y)$ $f_n(x)=\int_0^{2\pi}f_n(y)G(x,y)dy$

Published on 20 Oct 2018 - 22:04

score 311 · Answer 6 · 2018-10-21 05:33:23

311

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Deriving $\sqrt2 \approx 1 + \frac13 + \frac1{3 \cdot 4} - \frac1{3 \cdot 4 \cdot34}$

Published on 21 Oct 2018 - 5:33

score 139 · Answer 7 · 2018-10-21 23:47:07

139

Views

Find an example to show Greedy TSP algorithm is not a good approximation

Published on 21 Oct 2018 - 23:47

score 5.9k · Answer 8 · 2018-10-27 08:31:23

5.9k

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Approximation of $\log(x)$ for very small $x$

Published on 27 Oct 2018 - 8:31

score 95 · Answer 9 · 2026-03-26 04:51:02

95

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Solving $a\sqrt{1-x^2} + \log(x) = b$ for $x \approx 0$

Published on 26 Mar 2026 - 4:51

score 119 · Answer 10 · 2026-03-25 05:41:58

119

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Nature of constant $c$ from $\lim\limits_{n\to\infty}\left(\sum\limits_{k=1}^{n}(1/k)^{1/k}-n+\frac{\log^2(n)}{2}-1\right)=c$

Published on 25 Mar 2026 - 5:41

score 36 · Answer 11 · 2018-10-30 08:53:53

36

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Approximation of trig functions

Published on 30 Oct 2018 - 8:53

score 95 · Answer 12 · 2026-03-25 01:18:27

95

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Approximating the first moment of h(x) where $x$~Lognomal($\mu, \sigma$)

Published on 25 Mar 2026 - 1:18

score 1.3k · Answer 13 · 2026-03-25 04:35:32

1.3k

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Convergence to $\sqrt{2}$

Published on 25 Mar 2026 - 4:35

score 31 · Answer 14 · 2018-10-31 08:32:39

31

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Probability of at least two of n independent events occurring subject to some conditions

Published on 31 Oct 2018 - 8:32

score 392 · Answer 15 · 2026-03-25 06:10:45

392

Views

Picking the correct Ansatz for valid solutions in Asymptotic Methods

Published on 25 Mar 2026 - 6:10

List Question

How many terms it takes for the Leibniz series to converge to three decimal places of accuracy?

Does any continuous function on $[0,1]$ have a best $n$th degree polynomial approximation in the supremum norm?

construction of a step function which approximates the characteristic function

Linear stability analysis on a simple pendulum

Fourier Series approximation - find $G(x,y)$ $f_n(x)=\int_0^{2\pi}f_n(y)G(x,y)dy$

Deriving $\sqrt2 \approx 1 + \frac13 + \frac1{3 \cdot 4} - \frac1{3 \cdot 4 \cdot34}$

Find an example to show Greedy TSP algorithm is not a good approximation

Approximation of $\log(x)$ for very small $x$

Solving $a\sqrt{1-x^2} + \log(x) = b$ for $x \approx 0$

Nature of constant $c$ from $\lim\limits_{n\to\infty}\left(\sum\limits_{k=1}^{n}(1/k)^{1/k}-n+\frac{\log^2(n)}{2}-1\right)=c$

Approximation of trig functions

Approximating the first moment of h(x) where $x$~Lognomal($\mu, \sigma$)

Convergence to $\sqrt{2}$

Probability of at least two of n independent events occurring subject to some conditions

Picking the correct Ansatz for valid solutions in Asymptotic Methods

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