Question

Approximating sums of powers of integers: why does $\sum_{i=1}^n i^r \div \frac{n^{r+1}}{r+1} \to 1$ as $n \to \infty$?

score 208 · Answer 1 · 2013-05-24 09:02:17

208

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Approximating sums of powers of integers: why does $\sum_{i=1}^n i^r \div \frac{n^{r+1}}{r+1} \to 1$ as $n \to \infty$?

Published on 24 May 2013 - 9:02

score 38 · Answer 2 · 2013-05-24 16:06:13

38

Views

a question in projection

Published on 24 May 2013 - 16:06

score 112 · Answer 3 · 2026-04-03 07:44:18

112

Views

Approximation of beam

Published on 03 Apr 2026 - 7:44

score 672 · Answer 4 · 2013-05-26 15:36:08

672

Views

Find best approximation in Hilbert space $H = L_2[0; 1]$ for element $a(t)$

Published on 26 May 2013 - 15:36

score 59 · Answer 5 · 2013-06-01 15:23:10

59

Views

determining sign of function containing logarithm.

Published on 01 Jun 2013 - 15:23

score 561 · Answer 6 · 2013-06-05 07:35:04

561

Views

Approximate Nash Equilibrium

Published on 05 Jun 2013 - 7:35

score 215 · Answer 7 · 2013-06-06 10:38:49

215

Views

approximate $\int_{u=0}^b e^{-\frac{u^2 + ac}{au}}du.$

Published on 06 Jun 2013 - 10:38

score 543 · Answer 8 · 2013-06-07 04:06:47

543

Views

the following inequality is true, but I can't prove it

Published on 07 Jun 2013 - 4:06

score 801 · Answer 9 · 2013-06-07 19:04:41

801

Views

Ratio between trigonometric sums: $\sum_{n=1}^{44} \cos n^\circ/\sum_{n=1}^{44} \sin n^\circ$

Published on 07 Jun 2013 - 19:04

score 716 · Answer 10 · 2026-03-30 07:20:39

716

Views

Discrete approximation to a continuous probability density function

Published on 30 Mar 2026 - 7:20

score 1.4k · Answer 11 · 2026-03-27 03:41:37

1.4k

Views

Meaning of $\alpha$ in Laguerre polynomials

Published on 27 Mar 2026 - 3:41

score 5k · Answer 12 · 2026-03-26 11:04:57

5k

Views

How to best approximate higher-degree polynomial in space of lower-degree polynomials?

Published on 26 Mar 2026 - 11:04

score 1.6k · Answer 13 · 2013-06-09 15:26:39

1.6k

Views

Show that for a finitely differentiable function there exists a polynomial that both their $k$-th derivatives converge

Published on 09 Jun 2013 - 15:26

score 2.2k · Answer 14 · 2013-06-09 20:11:38

2.2k

Views

Bounding the modified Bessel function of the first kind

Published on 09 Jun 2013 - 20:11

score 231 · Answer 15 · 2013-06-10 13:11:05

231

Views

Best way to approximate function

Published on 10 Jun 2013 - 13:11

List Question

Approximating sums of powers of integers: why does $\sum_{i=1}^n i^r \div \frac{n^{r+1}}{r+1} \to 1$ as $n \to \infty$?

a question in projection

Approximation of beam

Find best approximation in Hilbert space $H = L_2[0; 1]$ for element $a(t)$

determining sign of function containing logarithm.

Approximate Nash Equilibrium

approximate $\int_{u=0}^b e^{-\frac{u^2 + ac}{au}}du.$

the following inequality is true, but I can't prove it

Ratio between trigonometric sums: $\sum_{n=1}^{44} \cos n^\circ/\sum_{n=1}^{44} \sin n^\circ$

Discrete approximation to a continuous probability density function

Meaning of $\alpha$ in Laguerre polynomials

How to best approximate higher-degree polynomial in space of lower-degree polynomials?

Show that for a finitely differentiable function there exists a polynomial that both their $k$-th derivatives converge

Bounding the modified Bessel function of the first kind

Best way to approximate function

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