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A sparse multivariate polynomial inspired by Kahle (2013)
kahle(n = 26, r = 1, p = 1, coeffs = 1, symbols = letters)
Number of different symbols to use
Number of symbols in a single term
Power of each symbol in each terms
Coefficients of the terms
Alphabet of symbols
Robin K. S. Hankin
David Kahle 2013. “mpoly: multivariate polynomials in R”. R Journal, volume 5/1.
special
kahle() # a+b+...+z
kahle(r=2,p=1:2) # Kahle's original example
## example where mvp runs faster than spray (mvp does not need a 200x200 matrix):
k <- kahle(200,r=3,p=1:3,symbols=paste("x",sprintf("%02d",1:200),sep=""))
system.time(ignore <- k^2)
#system.time(ignore <- mvp_to_spray(k)^2) # needs spray package loaded
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