In some embodiments, the present invention relates to new processes to simultaneously shorten and functionalize raw or purified carbon nanotubes to improve their dispersity and processibility, and the short functionalized nanotubes that may be made by the processes. This present invention also relates to new compositions of matter using short functionalized carbon nanotubes with thermoset, thermoplastic polymers, high temperature polymers, and other materials; the processes for making such composite materials; and the products of said processes.