Question

Newman's proof of the Asymptotic Formula for the Partition Function

score 223 · Answer 1 · 2026-05-10 17:15:05

223

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Newman's proof of the Asymptotic Formula for the Partition Function

Published on 10 May 2026 - 17:15

score 171 · Answer 2 · 2026-04-12 06:46:08

171

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Proof that $\lim \limits_{h \to 0} \int \limits_{a}^{b} |f(x+h)-f(x)| dx =0$

Published on 12 Apr 2026 - 6:46

score 1k · Answer 3 · 2026-04-16 02:31:23

1k

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Proof that Darboux upper/lower sums always converge to the Darboux upper/lower integral as the partition gets thinner

Published on 16 Apr 2026 - 2:31

score 78 · Answer 4 · 2026-04-11 21:45:16

78

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Riemann Sum - correct formula for an integral?

Published on 11 Apr 2026 - 21:45

score 187 · Answer 5 · 2026-04-14 10:16:16

187

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Where have I gone wrong in my integral evaluation using summation?

Published on 14 Apr 2026 - 10:16

score 737 · Answer 6 · 2026-04-12 01:25:39

737

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Textbook Definition of Riemann Integral: Supremum, Infimum, Lower/Upper Bounds

Published on 12 Apr 2026 - 1:25

score 165 · Answer 7 · 2026-04-15 11:54:20

165

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How can I see that $\sum_2^n \frac{1}{j} = \int_1^n \frac{1}{j}\ dj$?

Published on 15 Apr 2026 - 11:54

score 148 · Answer 8 · 2026-04-09 08:40:48

148

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Limits of sum integral in exponential form

Published on 09 Apr 2026 - 8:40

score 404 · Answer 9 · 2026-04-09 06:13:49

404

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How to find $\int_a^bx^mdx$ using the limit sum definition of definite integral?

Published on 09 Apr 2026 - 6:13

score 35 · Answer 10 · 2026-04-10 12:57:38

35

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How to calculate a minimal necessary production curve?

Published on 10 Apr 2026 - 12:57

score 221 · Answer 11 · 2026-04-17 00:49:10

221

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Suppose $f$ is continuous on $[a,b]$, $\alpha (x)=0$ if $x \in [a,c)$, and $\alpha (x)=1$ if $x \in [c,b]$. Show that $\int_a^bfd\alpha=f(c)$

Published on 17 Apr 2026 - 0:49

score 75 · Answer 12 · 2026-04-15 20:38:33

75

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Let $f : [1,2] → \mathbb {R}$ be defined by $f(x) = x$. Prove that $f$ is Riemann integrable and compute $\int_1^2f(x)dx$

Published on 15 Apr 2026 - 20:38

score 82 · Answer 13 · 2026-04-11 23:35:22

82

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Help with evaluating this Riemann-Sum.

Published on 11 Apr 2026 - 23:35

score 139 · Answer 14 · 2026-04-14 12:03:48

139

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Calculate $\lim\limits_{n\to\infty}\sum\limits_{0\leqslant k\leqslant2n}\frac k{k+n^2}$ using Riemann sums

Published on 14 Apr 2026 - 12:03

score 703 · Answer 15 · 2026-05-10 15:55:52

703

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Convergence of Riemann-Stieltjes sums

Published on 10 May 2026 - 15:55

List Question

Newman's proof of the Asymptotic Formula for the Partition Function

Proof that $\lim \limits_{h \to 0} \int \limits_{a}^{b} |f(x+h)-f(x)| dx =0$

Proof that Darboux upper/lower sums always converge to the Darboux upper/lower integral as the partition gets thinner

Riemann Sum - correct formula for an integral?

Where have I gone wrong in my integral evaluation using summation?

Textbook Definition of Riemann Integral: Supremum, Infimum, Lower/Upper Bounds

How can I see that $\sum_2^n \frac{1}{j} = \int_1^n \frac{1}{j}\ dj$?

Limits of sum integral in exponential form

How to find $\int_a^bx^mdx$ using the limit sum definition of definite integral?

How to calculate a minimal necessary production curve?

Suppose $f$ is continuous on $[a,b]$, $\alpha (x)=0$ if $x \in [a,c)$, and $\alpha (x)=1$ if $x \in [c,b]$. Show that $\int_a^bfd\alpha=f(c)$

Let $f : [1,2] → \mathbb {R}$ be defined by $f(x) = x$. Prove that $f$ is Riemann integrable and compute $\int_1^2f(x)dx$

Help with evaluating this Riemann-Sum.

Calculate $\lim\limits_{n\to\infty}\sum\limits_{0\leqslant k\leqslant2n}\frac k{k+n^2}$ using Riemann sums

Convergence of Riemann-Stieltjes sums

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