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For any point, the abscissa is the first value (x coordinate), and the ordinate is the second value (y coordinate). In mathematics, the abscissa (/ æ b ˈ s ɪ s. ə /; plural abscissae or abscissas) and the ordinate are respectively the first and second coordinate of a point in a Cartesian coordinate system: [1] [2]
The first and second coordinates are called the abscissa and the ordinate of P, respectively; and the point where the axes meet is called the origin of the coordinate system. The coordinates are usually written as two numbers in parentheses, in that order, separated by a comma, as in (3, −10.5) .
The line, sometimes called the 1:1 line, has a slope of 1. [4] When the abscissa and ordinate are on the same scale, the identity line forms a 45° angle with the abscissa, and is thus also, informally, called the 45° line . [ 5 ]
all the polynominals (x^n-1)/(x-1) have an infinity of square-free values. [20] As equivalent, the modified Szpiro conjecture, which would yield a bound of rad(abc) 1.2+ε. [1] Dąbrowski (1996) has shown that the abc conjecture implies that the Diophantine equation n! + A = k 2 has only finitely many solutions for any given integer A.
Consequently, a general curvilinear coordinate system has two sets of basis vectors for every point: {b 1, b 2, b 3} is the contravariant basis, and {b 1, b 2, b 3} is the covariant (a.k.a. reciprocal) basis. The covariant and contravariant basis vectors types have identical direction for orthogonal curvilinear coordinate systems, but as usual ...
Name First elements Short description OEIS Mersenne prime exponents : 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, ... Primes p such that 2 p − 1 is prime.: A000043 ...
Abscissa is denoted as 'X' coordinate. — Preceding unsigned comment added by 118.95.43.40 12:50, 6 September 2011 (UTC) Added a little extra explanation of the abscissa by analogy to an independent variable in a model, and backed it up with a citation. I also gave the image a new caption that actually said something about the abscissa.
Typically, a Tauc plot shows the quantity hν (the photon energy) on the abscissa (x-coordinate) and the quantity (αhν) 1/2 on the ordinate (y-coordinate), where α is the absorption coefficient of the material. Thus, extrapolating this linear region to the abscissa yields the energy of the optical bandgap of the amorphous material.