List questions from summation

Published on 24 Jul 2018 - 4:28

219

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Is there any definition of the sum of $n$ summands, when $n$ is not a natural number?

Published on 25 Mar 2026 - 2:49

636

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How do I derive the Ramanujan Summation of $\sum_{n=1}^{\infty}n^2 = 0$?

Published on 20 Mar 2026 - 6:37

358

Views

Finding $\sum_{i=1}^{100} a_i$ given that $\sqrt{a_1}+\sqrt{a_2-1}+\sqrt{a_3-2}+\dots+\sqrt{a_n-(n-1)}=\frac12(a_1+a_2+\dots+a_n)=\frac{n(n-3)}4$

Published on 24 Jul 2018 - 16:25

136

Views

If $E$ is an infinite vector space, how to interprete $\sum_{i}x_ie_i$?

Published on 30 Mar 2026 - 0:19

149

Views

Infinite sum: $\sum_{x=1}^\infty\frac{\ln x}{e^x}$

Published on 25 Jul 2018 - 14:43

28

Views

Equivalent summations

Published on 26 Jul 2018 - 4:27

57

Views

Prove that $\sum_i \vec r_i \times \vec uF_i = (\sum_i \vec r_iF_i) \times \vec u$

Published on 27 Mar 2026 - 15:19

759

Views

Creation of infinite 'step' function

Published on 25 Mar 2026 - 17:28

76

Views

How do we simplify a multiple sum that involves determinants?

Published on 27 Mar 2026 - 19:30

606

Views

Sums of consecutive powers of 3 being perfect squares

Published on 26 Jul 2018 - 17:40

2k

Views

Alternating series remainder overestimation

Published on 27 Jul 2018 - 0:29

2.1k

Views

How do I convert a simple algorithm to a mathematical notation?

Published on 25 Mar 2026 - 12:30

88

Views

Partial sum of $\sec nx$

Published on 27 Jul 2018 - 5:51

1.8k

Views

Summation of factorials is a perfect square number

Published on 25 Mar 2026 - 10:57

List Question

Solve the logarithmic equation

Is there any definition of the sum of $n$ summands, when $n$ is not a natural number?

How do I derive the Ramanujan Summation of $\sum_{n=1}^{\infty}n^2 = 0$?

Finding $\sum_{i=1}^{100} a_i$ given that $\sqrt{a_1}+\sqrt{a_2-1}+\sqrt{a_3-2}+\dots+\sqrt{a_n-(n-1)}=\frac12(a_1+a_2+\dots+a_n)=\frac{n(n-3)}4$

If $E$ is an infinite vector space, how to interprete $\sum_{i}x_ie_i$?

Infinite sum: $\sum_{x=1}^\infty\frac{\ln x}{e^x}$

Equivalent summations

Prove that $\sum_i \vec r_i \times \vec uF_i = (\sum_i \vec r_iF_i) \times \vec u$

Creation of infinite 'step' function

How do we simplify a multiple sum that involves determinants?

Sums of consecutive powers of 3 being perfect squares

Alternating series remainder overestimation

How do I convert a simple algorithm to a mathematical notation?

Partial sum of $\sec nx$

Summation of factorials is a perfect square number

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