Question

Expected Value of Riemann Sum for Random Partitions

score 476 · Answer 1 · 2021-07-06 01:39:17

476

Views

Expected Value of Riemann Sum for Random Partitions

Published on 06 Jul 2021 - 1:39

score 169 · Answer 2 · 2021-07-16 16:11:05

169

Views

Sum over values at powers of irrational rotation vs integral over a circle

Published on 16 Jul 2021 - 16:11

score 194 · Answer 3 · 2021-08-05 14:06:26

194

Views

Estimating the Sum of Square Roots (Calculus Starter)?

Published on 05 Aug 2021 - 14:06

score 47 · Answer 4 · 2021-08-13 02:14:25

47

Views

Is this a valid property for Riemann Sums

Published on 13 Aug 2021 - 2:14

score 90 · Answer 5 · 2021-08-14 11:16:20

90

Views

Having trouble with finding a limit for this sequence $a_n=\frac{n+1}{n}\ln(\sqrt{n})-\frac{1}{n^2}\sum^n_{k=1}\ln(k+n)^k$

Published on 14 Aug 2021 - 11:16

score 690 · Answer 6 · 2021-08-16 04:49:06

690

Views

Riemann vs. Darboux integrability for multiple integrals

Published on 16 Aug 2021 - 4:49

score 28 · Answer 7 · 2021-08-17 06:24:00

28

Views

Evaluating upper and lower Riemann sums over [a,b]

Published on 17 Aug 2021 - 6:24

score 832 · Answer 8 · 2021-08-24 07:42:37

832

Views

True /False : If $P^$ is a refinement of $P$, then $U(P^ ,f,a) \le U (P,f,a)$

Published on 24 Aug 2021 - 7:42

score 92 · Answer 9 · 2021-08-24 18:00:37

92

Views

What's going on with this infinite product?

Published on 24 Aug 2021 - 18:00

score 75 · Answer 10 · 2021-08-25 13:00:31

75

Views

$x \lim_{n\to\infty}\sum^n_{r=1}\frac{1}{n}\ln\left(\frac{1+\frac{xr}{n}}{1+\frac{x²r²}{n²}}\right)$ into an integral.

Published on 25 Aug 2021 - 13:00

score 1.3k · Answer 11 · 2021-08-28 08:08:44

1.3k

Views

Upper Riemann Integral is greater than or equal to lower Riemann Integral

Published on 28 Aug 2021 - 8:08

score 50 · Answer 12 · 2021-09-01 15:11:49

50

Views

More challenging Taylor expansion involving a summation of logarithms

Published on 01 Sep 2021 - 15:11

score 130 · Answer 13 · 2021-09-01 18:59:53

130

Views

Evaluate a limit in combinatorics

Published on 01 Sep 2021 - 18:59

score 272 · Answer 14 · 2021-09-04 02:01:32

272

Views

Find limit $\lim_{n \to \infty} \sum_{k=1}^{n} \frac{k^4}{k^5+n^5}$.

Published on 04 Sep 2021 - 2:01

score 78 · Answer 15 · 2021-09-20 18:38:52

78

Views

Lower integral sum of a totally discontinuous function

Published on 20 Sep 2021 - 18:38

List Question

Expected Value of Riemann Sum for Random Partitions

Sum over values at powers of irrational rotation vs integral over a circle

Estimating the Sum of Square Roots (Calculus Starter)?

Is this a valid property for Riemann Sums

Having trouble with finding a limit for this sequence $a_n=\frac{n+1}{n}\ln(\sqrt{n})-\frac{1}{n^2}\sum^n_{k=1}\ln(k+n)^k$

Riemann vs. Darboux integrability for multiple integrals

Evaluating upper and lower Riemann sums over [a,b]

True /False : If $P^$ is a refinement of $P$, then $U(P^ ,f,a) \le U (P,f,a)$

What's going on with this infinite product?

$x \lim_{n\to\infty}\sum^n_{r=1}\frac{1}{n}\ln\left(\frac{1+\frac{xr}{n}}{1+\frac{x²r²}{n²}}\right)$ into an integral.

Upper Riemann Integral is greater than or equal to lower Riemann Integral

More challenging Taylor expansion involving a summation of logarithms

Evaluate a limit in combinatorics

Find limit $\lim_{n \to \infty} \sum_{k=1}^{n} \frac{k^4}{k^5+n^5}$.

Lower integral sum of a totally discontinuous function

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