Question

How to switch from continuous to discrete formulation (integral to sum) in a specific case?

score 49 · Answer 1 · 2022-06-11 10:59:50

49

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How to switch from continuous to discrete formulation (integral to sum) in a specific case?

Published on 11 Jun 2022 - 10:59

score 84 · Answer 2 · 2026-03-31 10:03:05

84

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Definite integral of $\tan(x)$

Published on 31 Mar 2026 - 10:03

score 46 · Answer 3 · 2022-06-28 16:22:40

46

Views

Darboux integrability implies Riemann integrability in $\mathbb{R}^n$

Published on 28 Jun 2022 - 16:22

score 58 · Answer 4 · 2022-06-28 16:43:58

58

Views

Spivak's Calculus, Ch. 13 Appendix "Riemann Sums, Problem 3: Prove formula for length of parametric curve based on inscribed polygonal curve.

Published on 28 Jun 2022 - 16:43

score 62 · Answer 5 · 2022-07-05 13:20:56

62

Views

What happens if you relax the "for all" requirement of Darboux integration?

Published on 05 Jul 2022 - 13:20

score 137 · Answer 6 · 2022-07-05 18:44:29

137

Views

Evaluating limit using Riemann sums

Published on 05 Jul 2022 - 18:44

score 116 · Answer 7 · 2022-07-09 18:58:18

116

Views

Problem in Riemann Summation method

Published on 09 Jul 2022 - 18:58

score 43 · Answer 8 · 2022-07-12 15:34:49

43

Views

Integral related with Riemann Sums

Published on 12 Jul 2022 - 15:34

score 35 · Answer 9 · 2022-07-19 06:57:28

35

Views

Possible Pitfalls when Converting a Infinite Series to a Riemann Integral

Published on 19 Jul 2022 - 6:57

score 35 · Answer 10 · 2022-07-31 17:19:08

35

Views

Darboux Sum and Improper Integral

Published on 31 Jul 2022 - 17:19

score 269 · Answer 11 · 2022-08-04 04:33:01

269

Views

Is it possible for Riemann Sum and Standard Integration to have different answers?

Published on 04 Aug 2022 - 4:33

score 77 · Answer 12 · 2022-08-06 21:52:11

77

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Is the statement $\sum_{j=1}^\infty x_j<\infty,~(x_j\ge0)$ $\Longrightarrow \lim _{k \to \infty} \sum_{j=k}^\infty x_j=0$ true?

Published on 06 Aug 2022 - 21:52

score 144 · Answer 13 · 2022-08-24 13:17:12

144

Views

Closed-form or integral representation for $\sum_{n=0}^\infty\frac{e^{-\lambda}\lambda^n}{n!}\phi(z-n;\mu;\sigma)$.

Published on 24 Aug 2022 - 13:17

score 26 · Answer 14 · 2022-08-30 02:40:57

26

Views

Convergence in function norm of semi-discretization

Published on 30 Aug 2022 - 2:40

score 50 · Answer 15 · 2022-09-02 00:36:00

50

Views

What is the mistake in converting this sum into an integral? Why is the integral negative?

Published on 02 Sep 2022 - 0:36

List Question

How to switch from continuous to discrete formulation (integral to sum) in a specific case?

Definite integral of $\tan(x)$

Darboux integrability implies Riemann integrability in $\mathbb{R}^n$

Spivak's Calculus, Ch. 13 Appendix "Riemann Sums, Problem 3: Prove formula for length of parametric curve based on inscribed polygonal curve.

What happens if you relax the "for all" requirement of Darboux integration?

Evaluating limit using Riemann sums

Problem in Riemann Summation method

Integral related with Riemann Sums

Possible Pitfalls when Converting a Infinite Series to a Riemann Integral

Darboux Sum and Improper Integral

Is it possible for Riemann Sum and Standard Integration to have different answers?

Is the statement $\sum_{j=1}^\infty x_j<\infty,~(x_j\ge0)$ $\Longrightarrow \lim _{k \to \infty} \sum_{j=k}^\infty x_j=0$ true?

Closed-form or integral representation for $\sum_{n=0}^\infty\frac{e^{-\lambda}\lambda^n}{n!}\phi(z-n;\mu;\sigma)$.

Convergence in function norm of semi-discretization

What is the mistake in converting this sum into an integral? Why is the integral negative?

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