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In formal expressions, the ordinal number used before the word order refers to the highest power in the series expansion used in the approximation. The expressions: a zeroth-order approximation, a first-order approximation, a second-order approximation, and so forth are used as fixed phrases. The expression a zero-order approximation is also ...
French also uses the indicators d and de for the alternative second ordinal number (masculine 2 d – second; feminine 2 de – seconde). In plural, all these indicators are suffixed with an s: ers (1 ers – premiers), res (1 res – premières), es (2 es – deuxièmes), ds (2 ds – seconds), des (2 des – secondes).
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.
If α is any ordinal and X is a set, an α-indexed sequence of elements of X is a function from α to X. This concept, a transfinite sequence (if α is infinite) or ordinal-indexed sequence, is a generalization of the concept of a sequence. An ordinary sequence corresponds to the case α = ω, while a finite α corresponds to a tuple, a.k.a. string
One ten-thousandth, [zero] point zero zero zero one, One myriadth, one permyria, one permyriad, one basis point: 0.000 01 1 / 100 000 One hundred-thousandth, [zero] point zero zero zero zero one, One lakhth, one perlakh 0.000 001 1 / 1 000 000 One millionth, [zero] point zero zero zero zero zero one, One ppm: 0.000 000 1 1 / ...
Numzi - free web application for converting numbers to words/phrases and vice versa using the Major System. Covers the English language with over 220,000 words. Numzi also has an iOS app which is a portable Major System number-word converter. 2Know is free Windows software for converting numbers to words (English, German, French).
The indication of significance takes the form of the denominator of the fraction indicating division by the smallest power of ten larger than the second cardinal. This is modified when the first cardinal is zero, in which case neither the zero nor the "and" is pronounced, but the zero is optional in the "point" form of the fraction.
Hours under 10 should have a leading zero (08:15). The time 00:00 refers to midnight at the start of a date, 12:00 to noon, and 24:00 to midnight at the end of a date, but 24 should not be used for the first hour of the next day (e.g. use 00:10 for ten minutes after midnight, not 24:10).