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primitive

Primitive


Description

Calculate the indefinitive integral of a function.

Usage

primitive(FUN, t, C = 0)

Arguments

FUN

the function to calculate the primitive of.

t

points at which the function FUN is evaluated, specified as a vector of ascending values

C

constant of integration. Default: 0

Details

This function is a fancy way of calculating the cumulative sum.

Value

Vector of integrated function values.

Author(s)

Juan Pablo Carbajal.
Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com

See Also

Examples

f <- function(t) sin(2 * pi * 3 * t)
t <- c(0, sort(runif(100)))
F <- primitive (f, t, 0)
t_true <- seq(0, 1, length.out = 1e3)
F_true <- (1 - cos(2 * pi * 3 * t_true)) / (2 * pi * 3)
plot (t, F, xlab = "", ylab = "")
lines (t_true, F_true, col = "red")
legend("topright", legend = c("Numerical primitive", "True primitive"),
  lty = c(0, 1), pch = c(1, NA), col = 1:2)

gsignal

Signal Processing

v0.3-1
GPL-3
Authors
Geert van Boxtel [aut, cre] (Maintainer), Tom Short [aut] (Author of 'signal' package), Paul Kienzle [aut] (Majority of the original sources), Ben Abbott [ctb], Juan Aguado [ctb], Muthiah Annamalai [ctb], Leonardo Araujo [ctb], William Asquith [ctb], David Bateman [ctb], David Billinghurst [ctb], Juan Pablo Carbajal [ctb], André Carezia [ctb], Vincent Cautaerts [ctb], Eric Chassande-Mottin [ctb], Luca Citi [ctb], Dave Cogdell [ctb], Carlo de Falco [ctb], Carne Draug [ctb], Pascal Dupuis [ctb], John W. Eaton [ctb], R.G.H Eschauzier [ctb], Andrew Fitting [ctb], Alan J. Greenberger [ctb], Mike Gross [ctb], Daniel Gunyan [ctb], Kai Habel [ctb], Kurt Hornik [ctb], Jake Janovetz [ctb], Alexander Klein [ctb], Peter V. Lanspeary [ctb], Bill Lash [ctb], Friedrich Leissh [ctb], Laurent S. Mazet [ctb], Mike Miller [ctb], Petr Mikulik [ctb], Paolo Neis [ctb], Georgios Ouzounis [ctb], Sylvain Pelissier [ctb], Francesco Potortì [ctb], Charles Praplan [ctb], Lukas F. Reichlin [ctb], Tony Richardson [ctb], Asbjorn Sabo [ctb], Thomas Sailer [ctb], Rolf Schirmacher [ctb], Rolf Schirmacher [ctb], Ivan Selesnick [ctb], Julius O. Smith III [ctb], Peter L. Soendergaard [ctb], Quentin Spencer [ctb], Doug Stewart [ctb], P. Sudeepam [ctb], Stefan van der Walt [ctb], Andreas Weber [ctb], P. Sudeepam [ctb], Andreas Weingessel [ctb]
Initial release
2021-05-02

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