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| Algebra | | Apart, Coefficient, Degree, Denominator, Divisors, DivisorSigma, Eval, Expand, Factor, GCD, LCM, PolyDivide, PolyFit, PolyGCD, PolyLCM, PowerExpand, Quotient, Remainder, Sequence, SimplifyPoly, Solve, SolveSystem, Together |
| CAS | | Append, Call, Caps, Char, Choose, Clear, Command, Date, Delete, Extract, Function, Insert, IsList, IsMatrix, IsNumber, IsPoly, Left, Length, List, Matrix, Part, Replace, Reshape, Reverse, Right, Size, Sort, String, Value, Variables |
| Elementary | | Binomial, Ceil, Eulerian, Factorial, Floor, fPart, iPart, Mod, Multinomial, nCr, nPr, nRoot, Pochhammer, Round, Sign, Sqrt |
| Manual | | Code Files, Commands, Creating Scripts, Entering Expressions, Graphing Equations, Include Folder, Lists, Matrices, Strings, Symbols, Time Graphing |
| Matrix | | Cholesky, coFactor, Det, Eigenvalues, Eigenvectors, Identity, Inverse, LUDecomposition, QR, RowReduce, SVD, Transpose |
| Plot | | BodePlot, ContourPlot, CylindricalPlot3D, FractalPlot, ImagePlot, ImplicitPlot, JuliaPlot, ListPlot, ListPlot3D, MultiPlot, MultiPlot3D, ParametricPlot, ParametricPlot3D, Plot, Plot3D, PolarPlot, SphericalPlot3D, VectorPlot, VectorPlot3D |
| Scripting | | Animate, CheckBox, Draw, DrawColor, DrawWindow, Else If, Error, If, Include, Loop, Message, Scroll, Trace, While |
| Special | | AiryAi, AiryBi, BesselI, BesselJ, BesselK, BesselY, Beta, Chi, Ci, Dawson, DiGamma, DiLog, Dirichlet_Eta, Dirichlet_Lambda, Ei, Erf, Erfc, FresnelCos, FresnelSin, Gamma, Gudermannian, HankelH1, HankelH2, Harmonic, Hypergeom_2F1, invGudermannian, KelvinBei, KelvinBer, KelvinKei, KelvinKer, LambertW, Li, LnGamma, PolyGamma, PolyLog, Psi, RK4, RK45, Shi, Si, Zeta |
| Statistical | | BinomialCDF, BinomialPDF, ChiSquareCDF, ChiSquarePDF, Fcdf, Fpdf, GeoCDF, GeoPDF, InverseNormal, Max, Mean, Min, NormalCDF, NormalPDF, PoissonCDF, PoissonPDF, StandardDeviation, StudentTCDF, StudentTPDF, Variance |
| Vector Calculus | | Angle, Cross, Curl, Divergence, Dot, Duf, Gradient, Hessian, Jacobian, Laplacian, Norm, SurfaceNormal |
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FourierSeries(f(x), x, [n], [mode])f(x)
The function definition should be given as an array.
[ [f(t1), t1, t2] , [f(t2), t2, t3] , ...[f(tn), tn, tn+1] ]
Where...
f(t1) is the function definition for t1 < t < t2
f(t2) is the function definition for t2 < t < t3
Total period of the function is given by [ tn+1 - t1 ]
[n]
This parameter indicates what to return.
n > 0 returns the indicated number of coefficients (from 0 to n for trigonometric series and from -n to +n for complex form).
n <= 0 returns only the single coefficient with number n (or +n and -n for complex form).
non-number returns a general formula for the given function (trigonometric or complex). This formula is not always the simplest form.
[mode]
This optional paramter indicates if the result should be given as a trigonometric series or in complex form.
mode = 0 returns trigonometric series. This is the default mode.
mode = 1 returns the complex form. Creates the Fourier series of a given function. Trigonometric Series Complex Form Single Coefficient Formula Graphs ReferencesRelated FunctionsFourierSin, FourierCos
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