Sum - Qurak function reference

Symbolic summation.

Verificabile in modo indipendente: una risposta di questa funzione viene riderivata per un'altra via e confrontata - il banco di lavoro e lo strumento verify lo fanno automaticamente, così una risposta errata viene individuata anziché creduta. Cronologia →

Forme

Sum[f, {i, imax}]

Sum[f, {i, imin, imax}]

Sum[f, {i, imin, imax, di}]

Sum[f, {i, {i1, i2, …}}]

Sum[f, {i, imin, imax}, {j, jmin, jmax}, …]

Sum[f, i]

Esempi verificatiSum[k, {k, 1, 10}] → 55 Sum[k^2, {k, 1, n}] → (n*(1 + n)*(1 + 2*n))/6 Sum[1/k^2, {k, 1, Infinity}] → Pi^2/6 Sum[(-1)^n x^(2n+1)/Factorial[2n+1], {n, 0, Infinity}] → Sin[x]Sum[n, {n, 1, 10}, Method -> Automatic] → 55 Sum[n, {n, 1, Infinity}, Regularization -> "Dirichlet"] → -1/12 Sum[n^3, {n, 1, Infinity}, Regularization -> "Dirichlet"] → 1/120 Sum[(-1)^n, {n, 1, Infinity}, Regularization -> "Abel"] → -1/2 Sum[(-1)^n n, {n, 1, Infinity}, Regularization -> "Abel"] → -1/4 Sum[1/n, {n, 1, Infinity}, Regularization -> "Dirichlet"] → Sum[n^(-1), {n, 1, Infinity}, Regularization -> Dirichlet]Opzioni

Assumptions — default $Assumptions
GenerateConditions — default False
GeneratedParameters — default None
Method — default Automatic
Regularization — default None
VerifyConvergence — default True

Esegui su Qurak Cerca nella guida

Usata in

Create a wavelet matrix plot - 1 passo
Is this price fair: present value and the break-even rate - 5 passi
Evaluate infinite sums and products - 7 passi

Argomenti

Additive Number Theory - Summation-Related Operations
Analytic Number Theory - Operations
Calculus - Discrete Calculus »
Discrete Calculus - Sums & Differences
Discrete Mathematics - Discrete Calculus »
Integer Functions - Digit-Based Substitution System Functions

Correlate

Total Plus Product NSum AsymptoticSum SumConvergence GeneratingFunction ZTransform FourierSequenceTransform DiscreteConvolve RSolve Integrate