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zeta-ic
/ziːˈteɪɪk/ Mathematics (Obsolete rare) in or with reference to the work of English mathematician J. J. Sylvester (1814–97): designating multiplication in which the product between two quantities denoted by the same letter but having different subscript indices is a quantity denoted by the same letter which has the sum of these indices as its index; (also) designating a product or function involving such multiplication.In essence, zetaic multiplication treats the indices as if they were powers. For example, the product of a1 and a3 is a4, but the product of a1 and b3 is a1b3.ΘΚΠ
the world > relative properties > number > algebra > [adjective] > relating to expressions
interscendent1796
symmetrical1816
zeta-ic1840
associative1844
discriminantal1852
symmetric1853
discriminant1870
idempotent1870
interscendental1873
bilinear1886
non-trivial1901
left1926
right1930
1840 J. J. Sylvester in London, Edinb., & Dublin Philos. Mag. 16 37 Rule for zeta-ic multiplication. Note. An analogous interpretation may be extended to any zeta-ic function whatever.
1840 J. J. Sylvester in London, Edinb., & Dublin Philos. Mag. 16 37 I use the Greek letter ζ to denote that the product of factors to which it is prefixed is to be effected after a certain symbolical manner. This I shall distinguish as the zeta-ic product.
1927 Amer. Jrnl. Math. 49 519 We have the determinant of the coefficients equal to the zeta-ic function.
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