Question

Approximate $e^{0.01} \sin(0.02)$ by using its linearization

score 92 · Answer 1 · 2016-05-03 02:14:42

92

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Approximate $e^{0.01} \sin(0.02)$ by using its linearization

Published on 03 May 2016 - 2:14

score 325 · Answer 2 · 2016-05-03 12:46:01

325

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How can I express this in terms of Gauss-Hermite Quadrature?

Published on 03 May 2016 - 12:46

score 95 · Answer 3 · 2016-05-05 07:49:22

95

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Arriving at the asymptotic $\int \limits_\lambda^\infty e^{-t^2/2}dt \sim \frac{e^{-\lambda^2/2}}{\lambda}$

Published on 05 May 2016 - 7:49

score 259 · Answer 4 · 2026-04-04 10:20:31

259

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Understanding a medieval approximation

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score 50 · Answer 5 · 2016-05-06 12:24:35

50

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Upper-bounding $\sum_{i=1}^n \sum_{j = i}^{i+a_i} \frac{1}{\sqrt{j}}$?

Published on 06 May 2016 - 12:24

score 291 · Answer 6 · 2016-05-06 17:17:33

291

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Probability of alternating sequence from uniform distribution

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score 47 · Answer 7 · 2016-05-06 22:15:12

47

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Is it true that $ \sum_{i=1}^m \frac{1}{\sqrt{i}} = O \left( \sqrt{ m-1 } \right) $?

Published on 06 May 2016 - 22:15

score 1.7k · Answer 8 · 2026-03-31 15:50:31

1.7k

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score 140 · Answer 9 · 2026-03-27 02:37:48

140

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score 70 · Answer 10 · 2026-03-30 13:23:00

70

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Published on 30 Mar 2026 - 13:23

score 484 · Answer 11 · 2026-03-26 12:33:45

484

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B-Spline approximation deviates a lot while increasing the number of control points???

Published on 26 Mar 2026 - 12:33

score 273 · Answer 12 · 2026-03-29 19:11:45

273

Views

What's about $\sum_{n=1}^{\infty} \frac{e^{H_n}\log H_n}{n^3}$, where $H_n$ is the nth harmonic number?

Published on 29 Mar 2026 - 19:11

score 102 · Answer 13 · 2026-04-04 11:51:04

102

Views

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score 1.8k · Answer 14 · 2016-05-12 19:08:39

1.8k

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score 20.9k · Answer 15 · 2016-05-13 20:58:00

20.9k

Views

How is the derivative truly, literally the "best linear approximation" near a point?

Published on 13 May 2016 - 20:58

List Question

Approximate $e^{0.01} \sin(0.02)$ by using its linearization

How can I express this in terms of Gauss-Hermite Quadrature?

Arriving at the asymptotic $\int \limits_\lambda^\infty e^{-t^2/2}dt \sim \frac{e^{-\lambda^2/2}}{\lambda}$

Understanding a medieval approximation

Upper-bounding $\sum_{i=1}^n \sum_{j = i}^{i+a_i} \frac{1}{\sqrt{j}}$?

Probability of alternating sequence from uniform distribution

Is it true that $ \sum_{i=1}^m \frac{1}{\sqrt{i}} = O \left( \sqrt{ m-1 } \right) $?

Approximating the normal CDF for $0 \leq x \leq 7$

Approximation of product of Bernoulli with different proportions

Question for the estimation of $\sum_{i=1}^x \frac{1}{w+i}$ as $x \to \infty$.

B-Spline approximation deviates a lot while increasing the number of control points???

What's about $\sum_{n=1}^{\infty} \frac{e^{H_n}\log H_n}{n^3}$, where $H_n$ is the nth harmonic number?

How do I calculate this limit when two terms tend to infinity at similar rates

Approximation of a polynomial with fractional power

How is the derivative truly, literally the "best linear approximation" near a point?

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