National Academy of Songwriters Stevie Wonder, Los Lobos, Willie Dixon, Atlantic Starr, Stephen Stills, Michael Bolton, Melissa Manchester, Stephen Bishop, Brian Wilson, Kim Carnes, Michael McDonald, and many others. Also performing over the years at the "Salute To The American Songwriter" concerts were songwriting legends such as Jerry Leiber and Mike Stoller, Barry Mann, Jay Livingston and Ray Evans, Richard Sherman, John Bettis, Diane Warren, and many others. In 1988, the National 'Academy' of Songwriters teamed with VH-1 for the "Fourth Annual Salute To The American Songwriter" which was televised on VH-1 and Showtime in 1989. In 1996, the Los Angeles Songwriters Showcase (LASS)
Weil pairing on the "n"-torsion. The Weil pairing does not extend to a pairing on all the torsion points (the direct limit of "n"-torsion points) because the pairings for different "n" are not the same. However they do fit together to give a pairing "T"("E") × "T"("E") → "T"(μ) on the Tate module "T"("E") of the elliptic curve "E" (the inverse limit of the ℓ-torsion points) to the Tate module "T"(μ) of the multiplicative group (the inverse limit of ℓ roots of unity). For abelian varieties over an algebraically closed field "K", the Weil pairing is a nondegenerate pairing for all "n"