coordinate systems - Abscissa, Ordinate, and Applicate -- Origins . . . Abscissa is found in Latin in 1656 in Exercitationum Mathematicarum by Frans van Schooten See page 285 [Bill Stockich] According to Cajori (1906, page 185), “The term abscissa occurs for the first time in a Latin work of 1659, written by Stefano degli Angeli (1623-1697), a professor of mathematics in Rome ”
Abscissa, Ordinate and ?? for z-axis? - Mathematics Stack Exchange For 3D diagrams, the names "abscissa" and "ordinate" are rarely used for x and y, respectively When they are, the z-coordinate is sometimes called the applicate The words abscissa, ordinate and applicate are sometimes used to refer to coordinate axes rather than the coordinate values
Abscissa of convergence for a Dirichlet series Since $|f(n)| = 1$, it follows that $\sigma_a = 1$ (where $\sigma_a$ is the abscissa of absolute convergence), and we may conclude from general theory of Dirichlet series that $\sigma_c \in [0,1]$ My feeling is that there should be a bit of cancellation, resulting in $\sigma_c$ being smaller than 1, though I haven't been able to quantify this
Dirichlet series, abscissa of absolute convergence And denote with $\sigma_u$ the abscissa of uniform convergence, the smallest number such that the Dirichlet series converge uniformly in every half plane beyond the half plane defined by that number The distance between this to abscissas can be 0, by the above example It is known that the distance can be anything between 0 and 1 2, including 1 2