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schebyshev.u.weight <- function ( x )
{
###
### This function returns the value of the weight function
### for the shifted Chebyshev polynomial of the second kind, Uk( x )
###
### Parameter
### x = the function argument
###
n <- length( x )
y <- rep( 0, n )
for ( i in 1:n ) {
if ( ( x[i] > 0 ) && ( x[i] < 1 ) )
y[i] <- sqrt( x[i] - x[i] * x[i] )
}
return( y )
}
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