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coordinate systems - Abscissa, Ordinate, and Applicate -- Origins . . . How did the terms "abscissa", "ordinate", and "applicate" (for the x x -axis, y y -axis, and z z -axis, respectively) originate? Note: I feel the need to explain this question before someone says that this is opinionated or unnecessary I think that it's very, very useful to know how certain terms originate in mathematics because it allows us to understand everything deeper It's always great
Word choice for describing a variation with the abscissa (x) In mathematics, the abscissa (plural abscissae or abscissæ or abscissas) and the ordinate are respectively the first and second coordinates of a point in a coordinate system: Abscissa x-axis (horizontal) coordinate; ordinate y-axis (vertical) coordinate Usually these are the horizontal and vertical coordinates of a point in a two-dimensional
On the abscissa of convergence of a Dirichlet series. It is clear from your expression that the first pole of this series is at s = 1 s = 1, and thus the abscissa of convergence is 1 1 A different perspective is to consider what the Dirichlet series represents
Abscissa of convergence for a Dirichlet series What is the abscissa of convergence, σc, for the associated Dirichlet series, ∑∞n = 1f (n) ns? Since | f(n) | = 1, it follows that σa = 1 (where σa is the abscissa of absolute convergence), and we may conclude from general theory of Dirichlet series that σc ∈ [0, 1]
calculus - The $x$-coordinate of the two points $P$ and $Q$ on the . . . The x x -coordinates of the two points P P and Q Q on the parabola y2 = 8x y 2 = 8 x are roots of x2 − 17x + 11 x 2 − 17 x + 11 If the tangents at P P and Q Q meet at T T, then find the distance of T T from the focus The point of intersection of tangents is (GM of abscissa, AM of ordinate) Hence x coordinate of the point is