Question

Proving that the multiplication on a formal derivation ring is associative

score 70 · Answer 1 · 2026-04-15 03:35:05

70

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Proving that the multiplication on a formal derivation ring is associative

Published on 15 Apr 2026 - 3:35

score 121 · Answer 2 · 2026-04-15 19:22:08

121

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series of $\arctan \frac{2x^2}{n^2}$ .

Published on 15 Apr 2026 - 19:22

score 91 · Answer 3 · 2026-04-15 18:08:39

91

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Is it true that $\Big(\sum_{n=1}^N a_n\Big)^p\leq\sum(a_n)^p$?

Published on 15 Apr 2026 - 18:08

score 8.6k · Answer 4 · 2026-04-09 13:35:12

8.6k

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Expressing a summation using matrix algebra

Published on 09 Apr 2026 - 13:35

score 43 · Answer 5 · 2026-04-13 07:22:14

43

Views

closed form of summation of geometric theories

Published on 13 Apr 2026 - 7:22

score 55 · Answer 6 · 2026-04-09 17:51:33

55

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How to take this derivative

Published on 09 Apr 2026 - 17:51

score 569 · Answer 7 · 2026-04-13 22:06:10

569

Views

Strong induction on a summation of recursive functions (Catalan numbers)

Published on 13 Apr 2026 - 22:06

score 346 · Answer 8 · 2026-04-11 00:20:28

346

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Alternating sum with binomial coefficients $\sum_{k=0}^{49}(-1)^k\binom{99}{2k}$

Published on 11 Apr 2026 - 0:20

score 110 · Answer 9 · 2026-04-17 02:44:29

110

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Prove that $\frac {1}{a_1a_2} + \frac {1}{a_2a_3} + \frac {1}{a_3a_4} + ... + \frac {1}{a_{n-1}a_n} = \frac {n-1}{a_1a_n}$

Published on 17 Apr 2026 - 2:44

score 281 · Answer 10 · 2026-04-13 16:58:46

281

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Calc the sum of $\sum_{k = 0}^{\infty} \frac{(-1)^k}{k} \sin(2k)$

Published on 13 Apr 2026 - 16:58

score 341 · Answer 11 · 2026-04-13 14:53:23

341

Views

Is there a name and/or notation for arbitrary sum of sums?

Published on 13 Apr 2026 - 14:53

score 135 · Answer 12 · 2026-04-14 21:27:24

135

Views

Show that $\sum_{i=1}^{n}(i-1,n)[(i,n)=1] = \phi(n) \sigma_0(n)$

Published on 14 Apr 2026 - 21:27

score 511 · Answer 13 · 2026-04-16 05:14:14

Evaluate $\frac{ 1 }{ 1010 \times 2016} + \frac{ 1 }{ 1012 \times 2014} + \frac{ 1 }{ 1014 \times 2012} + \cdots + \frac{ 1 }{ 2016 \times 1010} = ?$

score 52 · Answer 14 · 2026-04-11 02:50:05

52

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Finding a Derivation for a particular Series

Published on 11 Apr 2026 - 2:50

score 269 · Answer 15 · 2026-04-14 14:23:47

269

Views

Sums with squares of binomial coefficients multiplied by a polynomial

Published on 14 Apr 2026 - 14:23

List Question

Proving that the multiplication on a formal derivation ring is associative

series of $\arctan \frac{2x^2}{n^2}$ .

Is it true that $\Big(\sum_{n=1}^N a_n\Big)^p\leq\sum(a_n)^p$?

Expressing a summation using matrix algebra

closed form of summation of geometric theories

How to take this derivative

Strong induction on a summation of recursive functions (Catalan numbers)

Alternating sum with binomial coefficients $\sum_{k=0}^{49}(-1)^k\binom{99}{2k}$

Prove that $\frac {1}{a_1a_2} + \frac {1}{a_2a_3} + \frac {1}{a_3a_4} + ... + \frac {1}{a_{n-1}a_n} = \frac {n-1}{a_1a_n}$

Calc the sum of $\sum_{k = 0}^{\infty} \frac{(-1)^k}{k} \sin(2k)$

Is there a name and/or notation for arbitrary sum of sums?

Show that $\sum_{i=1}^{n}(i-1,n)[(i,n)=1] = \phi(n) \sigma_0(n)$

Evaluate $\frac{ 1 }{ 1010 \times 2016} + \frac{ 1 }{ 1012 \times 2014} + \frac{ 1 }{ 1014 \times 2012} + \cdots + \frac{ 1 }{ 2016 \times 1010} = ?$

Finding a Derivation for a particular Series

Sums with squares of binomial coefficients multiplied by a polynomial

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