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| Calculus | | D, Diff, DSolve, fDiff, FourierCos, FourierSeries, FourierSin, iDiff, iLaplace, Integrate, Laplace, Limit, NIntegrate, pDiff, Product, Series, Sum |
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| 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 |
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| Vector Calculus | | Angle, Cross, Curl, Divergence, Dot, Duf, Gradient, Hessian, Jacobian, Laplacian, Norm, SurfaceNormal |
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Convergents(n, [mode=0], [terms])n
Real number or [numerator, denominator] of a real number or [continued fraction] of a real number
[mode=0]
mode = 0 returns the maximum number of convergents SpaceTime can calculate. The result is displayed in a matrix with the top row = numerator and the bottom row = denominator of the convergent.
mode = 1 returns the same as above, but the result is displayed as a fraction (less accurate compared to above...)
mode = -1 returns only the largest convergent it can find with both numerator and denominator < 15 digits
[terms]
Number of convergents to return (default = maximum, and limited by machine precision) The Convergent of a given number or a given continued fraction is the rational number obtained by keeping only a limited number of terms in the continued fraction (or the continued fraction of the number). ReferencesRelated FunctionscFrac, AlternatingSeries
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