Problems plotting a custom function in R -


i program , plot function r:

enter image description here

the code have been using is:

js <- sapply( seq(1,50, 1), fun <- function(x) x^{-4}) pim <- sapply(seq(1,50, 1), fun <- function(x) 2*pi*x) beta <- function(x) sum(js*sqrt(2)*cos(pim*x))

but while returns right values each point, running trouble when try plot using curve function is:

   error in curve(beta, 0, 1) :    'expr' did not evaluate object of length 'n' in addition: warning messages: 1: in pim * x :   longer object length not multiple of shorter object length 2: in js * sqrt(2) * cos(pim * x) :   longer object length not multiple of shorter object length

could please me fix problem , working plot? thank you.

the error in beta function. when use sum takes sum of entire vector t = 1,...,t. not want this. instead, want evaluate function each t. so, small change beta can use curve function.

js <- sapply( seq(1,50, 1), function(x) x^{-4}) pim <- sapply(seq(1,50, 1), function(x) 2*pi*x) beta <- function(x) {   sapply(x, function(y) sum(js*sqrt(2)*cos(pim*y))) } curve(beta, 0 ,1)

enter image description here


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