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In many contexts, when a number is spoken, the function of the separator is assumed by the spoken name of the symbol: comma or point in most cases. [6] [2] [7] In some specialized contexts, the word decimal is instead used for this purpose (such as in International Civil Aviation Organization-regulated air traffic control communications).
Here, the numbers may come as close as they like to 12, including 11.999 and so forth (with any finite number of 9s), but 12.0 is not included. In some European countries, the notation [ 5 , 12 [ {\displaystyle [5,12[} is also used for this, and wherever comma is used as decimal separator , semicolon might be used as a separator to avoid ...
In general, digits should be grouped and separated either by commas or by narrow gaps (never a period/full point). Grouping with commas Left of the decimal point, five or more digits are grouped into threes separated by commas (e.g. 12,200; 255,200 km; 8,274,527th; 1 ⁄ 86,400). Numbers with exactly four digits left of the decimal point may ...
Conversely the period of the repeating decimal of a fraction c / d will be (at most) the smallest number n such that 10 n − 1 is divisible by d. For example, the fraction 2 / 7 has d = 7, and the smallest k that makes 10 k − 1 divisible by 7 is k = 6, because 999999 = 7 × 142857. The period of the fraction 2 / 7 is ...
Spaces within a formula must be directly managed (for example by including explicit hair or thin spaces). Variable names must be italicized explicitly, and superscripts and subscripts must use an explicit tag or template. Except for short formulas, the source of a formula typically has more markup overhead and can be difficult to read.
The comma-free approach is often used with partial quotations: The report observed "a 45% reduction in transmission rate". A comma is required when it would be present in the same construction if none of the material were a quotation: In Margaret Mead's view, "we must recognize the whole gamut of human potentialities" to enrich our culture.
This sentence is a bit different; however, a comma is necessary as well. Using commas to offset certain adverbs is optional, including then, so, yet, instead, and too (meaning also). So, that's it for this rule. or; So that's it for this rule. A comma would be appropriate in this sentence, too. or; A comma would be appropriate in this sentence too.
Gödel sets are sometimes used in set theory to encode formulas, and are similar to Gödel numbers, except that one uses sets rather than numbers to do the encoding. In simple cases when one uses a hereditarily finite set to encode formulas this is essentially equivalent to the use of Gödel numbers, but somewhat easier to define because the ...