Question

Is it true that $\sum_{i=1}^n a_i ( i b_{i} -(i-1) b_{i-1}) \in O(\log n)$?

score 29 · Answer 1 · 2026-03-26 19:20:55

29

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Is it true that $\sum_{i=1}^n a_i ( i b_{i} -(i-1) b_{i-1}) \in O(\log n)$?

Published on 26 Mar 2026 - 19:20

score 205 · Answer 2 · 2016-08-31 17:35:52

205

Views

Understand a step in the derivation of the Stirling's approximation

Published on 31 Aug 2016 - 17:35

score 698 · Answer 3 · 2026-03-25 06:00:17

698

Views

Approximate arctan(1/2) to within 1/33

Published on 25 Mar 2026 - 6:00

score 172 · Answer 4 · 2026-03-30 13:51:00

172

Views

Is there a method to avoid long division?

Published on 30 Mar 2026 - 13:51

score 131 · Answer 5 · 2016-09-07 17:42:51

131

Views

Why cannot the absolute error in a numerical computation correct to $n$ figures be greater than half a unit in $n$-th place?

Published on 07 Sep 2016 - 17:42

score 1.1k · Answer 6 · 2016-09-10 05:20:16

1.1k

Views

Continuity Correction vs Confidence Interval

Published on 10 Sep 2016 - 5:20

score 152 · Answer 7 · 2026-02-24 10:16:07

152

Views

Estimation of probability, 70 particular events from 360

Published on 24 Feb 2026 - 10:16

score 1.3k · Answer 8 · 2016-09-11 22:46:45

1.3k

Views

How large should $n$ be to guarantee that the Simpson's Rule of approximation on integral is accurate to an error within $0.00001$?

Published on 11 Sep 2016 - 22:46

score 152 · Answer 9 · 2026-03-28 22:26:36

152

Views

Approximation $\frac{\mathrm{d} x}{x+\mathrm{d} x} \approx \frac{\mathrm{d}x}{x} $?

Published on 28 Mar 2026 - 22:26

score 484 · Answer 10 · 2016-09-16 15:10:47

484

Views

Approximation of square root

Published on 16 Sep 2016 - 15:10

score 1.9k · Answer 11 · 2026-03-28 03:51:39

1.9k

Views

Approximating $\pi$ using the sine function

Published on 28 Mar 2026 - 3:51

score 28 · Answer 12 · 2026-03-26 15:16:33

28

Views

Finding the best functions for different (x,y) points?

Published on 26 Mar 2026 - 15:16

score 48 · Answer 13 · 2016-09-19 21:58:49

48

Views

Population growth approximation

Published on 19 Sep 2016 - 21:58

score 124 · Answer 14 · 2016-09-21 10:50:03

124

Views

Compute the Integral accurate to 0.03.

Published on 21 Sep 2016 - 10:50

score 375 · Answer 15 · 2016-09-22 13:19:47

375

Views

Unbounded approximation of Sobolev spaces by smooth functions

Published on 22 Sep 2016 - 13:19

List Question

Is it true that $\sum_{i=1}^n a_i ( i b_{i} -(i-1) b_{i-1}) \in O(\log n)$?

Understand a step in the derivation of the Stirling's approximation

Approximate arctan(1/2) to within 1/33

Is there a method to avoid long division?

Why cannot the absolute error in a numerical computation correct to $n$ figures be greater than half a unit in $n$-th place?

Continuity Correction vs Confidence Interval

Estimation of probability, 70 particular events from 360

How large should $n$ be to guarantee that the Simpson's Rule of approximation on integral is accurate to an error within $0.00001$?

Approximation $\frac{\mathrm{d} x}{x+\mathrm{d} x} \approx \frac{\mathrm{d}x}{x} $?

Approximation of square root

Approximating $\pi$ using the sine function

Finding the best functions for different (x,y) points?

Population growth approximation

Compute the Integral accurate to 0.03.

Unbounded approximation of Sobolev spaces by smooth functions

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