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chebyshev.t.inner.products <- function( n )
{
###
### This function returns a vector with n+1 elements
### containing the inner product of an order k Chebyshev polynomial
### of the first kind, Tk(x) with itself (i.e. the norm squared)
### for orders k=0,1,...n
###
### Parameter
### n = integer highest polynomial order
###
if ( n < 0 )
stop( "negative highest polynomial order" )
if ( n != round( n ) )
stop( "highest polynomial order is not integer" )
inner.products <- c( pi, rep( pi/2, n ) )
return ( inner.products )
}
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