TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: The graphene is pristine. The solvent is a pyrrolidone. The solvent is N-cyclohexyl-2-pyrrolidone, N-methyl-2-pyrrolidone, N-ethylpyrrolidone, and/or N-octyl-2-pyrrolidone. The solvent is a mixture of N-cyclohexyl-2-pyrrolidone and N-methyl-2-pyrrolidone at a ratio of 2:1. The solvent is a monomer, or polymer. The solvent is a monomer and thickening is a polymerization of the solvent. The solvent of the solvent-carbon nanotube solution is different from the solvent of the solvent-graphene solution. Preferred Method: The solution is formed at ambient temperatures and pressures. The graphene is not functionalized. The step of separating the graphene comprises decanting the graphene from the dispersion or solution. The step (b) comprises mixing the solvent-graphene solution with the polymer and then removing the solvent. The step of extraction includes at least one of the freeze-drying, heat drying, laser treatment, centrifugal evaporation, or vacuum desiccation. The step (b) includes first dissolving a polymer in a polymer solvent and then mixing the polymer and polymer solvent with the graphene-solvent solution and extracting the polymer solvent. The step (b) includes hardening the solvent to provide the polymer matrix. The step (b) comprises mixing the graphene-solvent solution with a polymer that forms the polymer matrix that is also a solvent for the graphene. The solvent in step (a) is a thermoplastic heated to reduce its viscosity during step (a) and step (b) comprises cooling the thermoplastic after step (a). In the method (M1) a polymer of the polymer matrix is a nitrogen or hydrogen bond containing polymer.    TECHNOLOGY FOCUS - POLYMERS - Preferred Components: The polymer matrix is polyurethanes, polypyrrolidones, polyvinyl alcohols, polyimides, polyamides, polysaccharides, nylons, proteins, DNA, poly(methyl methacrylate) polymers or epoxies. The polymer matrix is thermoplastic material. The polymer composite further includes: dispersed carbon nanotubes; and trace amounts of a pyrrolidine solvent. Preferred Method: The method (M1) further includes: dispersing carbon nanotubes in a solvent-carbon nanotube solution, where the carbon nanotube solution has a chi value of less than 0.08; and incorporating the carbon nanotubes as dispersed by the solvent-carbon nanotube solution into the polymer matrix. EXAMPLE - No suitable example given.