# Questions tagged [summation]

Questions using the Sum command, especially for series and other algebraic objects, and related functions such as SumConvergence

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### Analytically express chi-square sum and solve

I have an expression: chisq[f_, x_, y_, e_, pars__] := Sum[((y[k] - f@@Join[{x[k]},pars])/e[k])^2, {k,1,n}] which should work for any function that has ...
1answer
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### Determine the argument of the table such that two tables have the same value

Suppose i have A:=Plus @@ Table[2 (Pi/n) (i + 4), {i, 0, n/2, 1}] B:=Plus @@ Table[ x , {i, (Pi/n), (n/2 + 1) (Pi/n), (Pi/n)}] i need to determine the argument of ...
0answers
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### How do you Sum with conditional iterators in WL?

Consider the following simple Sum: Sum[Binomial[n, n1], {n1, 0, n, 1}, Assumptions -> n ∈ PositiveIntegers] 2^n This of ...
1answer
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### using a list of parameters in NSum [closed]

I am trying to make a function that uses NSum, that takes a list of parameters. But NSum doesn't appear to play nicely with lists. A minimum working example is: ...
2answers
198 views

### How to get the right approximation for a series involving the harmonic number?

The right numerical value of the closed form of $\sum_{n=1}^\infty\frac{4^n H_n^2}{{2n\choose n}n^2}$ is $40.66752074791188333...$. I tried to verify this result on Mathematica using the command: <...
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### Equations with Tensor product and Ket in Mathematica:

I tried to express this equation in Mathematica: I defined necessary things: ...
2answers
84 views

### Mathematica ruins domain after explicit summation?

I'm working with this function ...
1answer
81 views

### speed up symbolic summation

I have the following summation L=24; sind=Range[-Pi,Pi,2*Pi/L]; Sum[f, {x, sind}, {y, sind}, {x1, sind}, {y1, sind}, {x2, sind}, {y2, sind}] where ...
1answer
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### Expand product of symbolic sums (with identically named indices)

I have an expression that is a product of two symbolic sums. Sum[a[k], {k, 1, n}]*Sum[b[k], {k, 1, n}] How can I expand this expression? I want to see something ...