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A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there is only a finite number of nonzero digits), the decimal is said to be terminating, and is not considered as repeating.
Ü (lowercase ü) is a Latin script character composed of the letter U and the diaeresis diacritical mark. In some alphabets such as those of a number of Romance languages or Guarani it denotes an instance of regular U to be construed in isolation from adjacent characters with which it would usually form a larger unit; other alphabets like the Azerbaijani, Estonian, German, Hungarian and ...
Iteration marks have been occasionally used for more than two thousand years in China.The example image shows an inscription in bronze script, a variety of formal writing dating to the Zhou dynasty, that ends with "子 𠄠 孫 𠄠 寶用", where the small 𠄠 ("two") is used as iteration marks in the phrase "子子孫孫寶用" ("descendants to use and to treasure").
The amendment 1 of ISO/IEC 9995-2:2009, which was published in 2012, specifies two ways of the emulation of a numeric keypad within the alphanumeric section of a keyboard. One way, with mappings to keys in the left half of the alphanumeric section (shown green in the diagram above), emulates a numeric keypad with the digits 1,2,3 in the upper row.
It was also used to mark Roman numerals whose values are multiplied by 1,000. [2] Today, however, the common usage of a vinculum to indicate the repetend of a repeating decimal [ 3 ] [ 4 ] is a significant exception and reflects the original usage.
The new Finnish keyboard standard of 2008 was designed for easily typing 1) Finnish, Swedish, Danish and Norwegian; 2) Nordic minority languages and 3) European Latin letters (based on MES-2, with emphasis on contemporary proper nouns), without needing engravings different from those on existing standard keyboards of Finland and Sweden.
Some real numbers have decimal expansions that eventually get into loops, endlessly repeating a sequence of one or more digits: 1 ⁄ 3 = 0.33333... 1 ⁄ 7 = 0.142857142857... 1318 ⁄ 185 = 7.1243243243... Every time this happens the number is still a rational number (i.e. can alternatively be represented as a ratio of an integer and a ...
Consider a binary repetition code of length 3. The user wants to transmit the information bits 101. Then the encoding maps each bit either to the all ones or all zeros code word, so we get the 111 000 111, which will be transmitted. Let's say three errors corrupt the transmitted bits and the received sequence is 111 010 100.