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and −2 is the least absolute remainder. In the division of 42 by 5, we have: 42 = 8 × 5 + 2, and since 2 < 5/2, 2 is both the least positive remainder and the least absolute remainder. In these examples, the (negative) least absolute remainder is obtained from the least positive remainder by subtracting 5, which is d. This holds in general.
In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor. [1]
The division with remainder or Euclidean division of two natural numbers provides an integer quotient, which is the number of times the second number is completely contained in the first number, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of ...
If the remainder is equal to zero at any iteration, then the quotient is a -adic fraction, and is represented as a finite decimal expansion in base positional notation. Otherwise, it is still a rational number but not a b {\displaystyle b} -adic rational, and is instead represented as an infinite repeating decimal expansion in base b ...
an abbreviated format from the "Acceptable date formats" table, provided the day and month elements are in the same order as in dates in the article body; the format expected in the citation style being used (but all-numeric date formats other than yyyy-mm-dd must still be avoided).
Nāgarī is an adjective derived from nagara , a Sanskrit word meaning "town" or "city", and literally means "urban" or "urbane". [21] The word Nāgarī (implicitly modifying lipi , "script") was used on its own to refer to a North Indian script, or perhaps a number of such scripts, as Al-Biruni attests in the 11th century; the form ...
Almost all government documents need to be filled up in the DD-MM-YYYY or DD/MM/YYYY format. An example of DD-MM-YYYY usage is the passport application form, [2] while the passport itself contains the date in DD/MM/YYYY format, [3] as does the PAN card (used for taxation purposes). But two expanded forms are used in India.
When a variable with an exponent or in a function is covered, the corresponding inverse is applied to the remainder, i.e. = and = . More Magic Triangle image mnemonics in the style of a cheat-sheet for high-school physics – in the SVG file, hover over a symbol for its meaning and formula.