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A prime ordinal is an ordinal greater than 1 that cannot be written as a product of two smaller ordinals. Some of the first primes are 2, 3, 5, ... , ω, ω + 1, ω 2 + 1, ω 3 + 1, ..., ω ω, ω ω + 1, ω ω + 1 + 1, ... There are three sorts of prime ordinals: The finite primes 2, 3, 5, ... The ordinals of the form ω ω α for any ordinal α.
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]
After all natural numbers comes the first infinite ordinal, ω, and after that come ω+1, ω+2, ω+3, and so on. (Exactly what addition means will be defined later on: just consider them as names.) After all of these come ω·2 (which is ω+ω), ω·2+1, ω·2+2, and so on, then ω·3, and then later on ω·4.
This system results in "two thirds" for 2 ⁄ 3 and "fifteen thirty-seconds" for 15 ⁄ 32. This system is normally used for denominators less than 100 and for many powers of 10 . Examples include "six ten-thousandths" for 6 ⁄ 10,000 and "three hundredths" for 0.03.
A fuller explanation of the concept of coordinate time arises from its relations with proper time and with clock synchronization. Synchronization, along with the related concept of simultaneity, has to receive careful definition in the framework of general relativity theory, because many of the assumptions inherent in classical mechanics and classical accounts of space and time had to be removed.
The Keynesian cross diagram includes an identity line to show states in which aggregate demand equals output. In a 2-dimensional Cartesian coordinate system, with x representing the abscissa and y the ordinate, the identity line [1] [2] or line of equality [3] is the y = x line. The line, sometimes called the 1:1 line, has a slope of 1. [4]
You can count Kansas City Chiefs quarterback Patrick Mahomes among those who are not exactly thrilled about the NFL forcing the two-time defending Super Bowl champions to play three times over an ...
Otherwise, k = 1 if β is a multiple of ω ω α+1 plus a finite number. Otherwise, k = 0. The ξ-notations can be used to name any ordinal less than ε 0 with an alphabet of only two symbols ("0" and "ξ").