Sum[f, {i, i_max}] evaluates the sum \[Sum]i = 1 i_max f. Sum[f, {i, i_min, i_max}] starts with i = i_min. Sum[f, {i, i_min, i_max, di}] uses steps d i. Sum[f, {i, {i_1, i_2, ...

Unicode: 2211. Alias: Esc sum Esc. Compound operator with built-in evaluation rules. ∑_(i)^i_max(f) is by default interpreted as Sum[f,{i,i_max}]. ∑_(i=i_min)^i_max(f)f is by ...

This constructs the sum ∑_(i=1)^7 (x^i)/(i) . You can leave out the lower limit if it is equal to 1. This makes i increase in steps of 2, so that only odd-numbered values are ...

In calculus, infinite sums and products can pose a challenge to manipulate by hand. Mathematica can evaluate a huge number of different types of sums and products with ease.

Evaluating sums. Mathematica recognizes this as the power series expansion of e^x. This sum comes out in terms of a Bessel function.

RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

Mathematica has a wide coverage of named functions defined by sums and recurrence relations. Often using original algorithms developed at Wolfram Research, Mathematica ...

In calculus even more than other areas, Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced ...

Numerical sums and products. This gives a numerical approximation to ∑_(i=1)^∞((1)/(i^3+i!)). There is no exact result for this sum, so Mathematica leaves it in a symbolic ...

ParallelSum[expr, {i, i_max}] evaluates in parallel the sum \[Sum]i = 1 i_max expr.ParallelSum[expr, {i, i_min, i_max}] starts with i = i min.ParallelSum[expr, {i, i_min, ...