Knuth -yllion
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Knuth -yllion
-yllion (pronounced ) is a proposal from Donald Knuth for the terminology and symbols of an alternate decimal superbase system. In it, he adapts the familiar English terms for large numbers to provide a systematic set of Names of large numbers, names for much larger numbers. In addition to providing an extended range, ''-yllion'' also dodges the long and short scales, long and short scale ambiguity of -illion. Knuth's digit grouping is Scientific notation, exponential instead of linear; each division doubles the number of digits handled, whereas the familiar system only adds three or six more. His system is basically the same as one of the ancient and now-unused Chinese numerals#Large numbers, Chinese numeral systems, in which units stand for 104, 108, 1016, 1032, ..., 102''n'', and so on (with an exception that the -yllion proposal does not use a word for thousand which the original Chinese numeral system has). Today the corresponding characters are used for 104, 108, 1012, 1016 ...
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Donald Knuth
Donald Ervin Knuth ( ; born January 10, 1938) is an American computer scientist, mathematician, and professor emeritus at Stanford University. He is the 1974 recipient of the ACM Turing Award, informally considered the Nobel Prize of computer science. Knuth has been called the "father of the analysis of algorithms". He is the author of the multi-volume work ''The Art of Computer Programming'' and contributed to the development of the rigorous analysis of the computational complexity of algorithms and systematized formal mathematical techniques for it. In the process, he also popularized the asymptotic notation. In addition to fundamental contributions in several branches of theoretical computer science, Knuth is the creator of the TeX computer typesetting system, the related METAFONT font definition language and rendering system, and the Computer Modern family of typefaces. As a writer and scholar, Knuth created the WEB and CWEB computer programming systems designed to encou ...
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Japanese Numerals
The Japanese numerals are the number names used in Japanese. In writing, they are the same as the Chinese numerals, and large numbers follow the Chinese style of grouping by 10,000. Two pronunciations are used: the Sino-Japanese (on'yomi) readings of the Chinese characters and the Japanese yamato kotoba (native words, kun'yomi readings). Basic numbering in Japanese There are two ways of writing the numbers in Japanese: in Arabic numerals (1, 2, 3) or in Chinese numerals (, , ). The Arabic numerals are more often used in horizontal writing, and the Chinese numerals are more common in vertical writing. Most numbers have two readings, one derived from Chinese used for cardinal numbers (On reading) and a native Japanese reading (Kun reading) used somewhat less formally for numbers up to 10. In some cases (listed below) the Japanese reading is generally preferred for all uses. Archaic readings are marked with †. * The special reading 〇 ''maru'' (which means "round" or "circle ...
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Mathematical Notation
Mathematical notation consists of using symbols for representing operations, unspecified numbers, relations and any other mathematical objects, and assembling them into expressions and formulas. Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous and accurate way. For example, Albert Einstein's equation E=mc^2 is the quantitative representation in mathematical notation of the mass–energy equivalence. Mathematical notation was first introduced by François Viète at the end of the 16th century, and largely expanded during the 17th and 18th century by René Descartes, Isaac Newton, Gottfried Wilhelm Leibniz, and overall Leonhard Euler. Symbols The use of many symbols is the basis of mathematical notation. They play a similar role as words in natural languages. They may play different roles in mathematical notation similarly as verbs, adjective and nouns play different roles in ...
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Numerals
A numeral is a figure, symbol, or group of figures or symbols denoting a number. It may refer to: * Numeral system used in mathematics * Numeral (linguistics), a part of speech denoting numbers (e.g. ''one'' and ''first'' in English) * Numerical digit, the glyphs used to represent numerals See also * Numerology Numerology (also known as arithmancy) is the belief in an occult, divine or mystical relationship between a number and one or more coinciding events. It is also the study of the numerical value, via an alphanumeric system, of the letters in ..., belief in a divine relationship between numbers and coinciding events {{disambiguation ...
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Scientific Suffixes
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The prefix ''kilo-'', for example, may be added to ''gram'' to indicate ''multiplication'' by one thousand: one kilogram is equal to one thousand grams. The prefix ''milli-'', likewise, may be added to ''metre'' to indicate ''division'' by one thousand; one millimetre is equal to one thousandth of a metre. Decimal multiplicative prefixes have been a feature of all forms of the metric system, with six of these dating back to the system's introduction in the 1790s. Metric prefixes have also been used with some non-metric units. The SI prefixes are metric prefixes that were standardised for use in the International System of Units (SI) by the International Bureau of Weights and Measures (BIPM) in resolutions dating from 1960 to 2022. Since 2009, the ...
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David A
David (; , "beloved one") (traditional spelling), , ''Dāwūd''; grc-koi, Δαυΐδ, Dauíd; la, Davidus, David; gez , ዳዊት, ''Dawit''; xcl, Դաւիթ, ''Dawitʿ''; cu, Давíдъ, ''Davidŭ''; possibly meaning "beloved one". was, according to the Hebrew Bible, the third king of the United Kingdom of Israel. In the Books of Samuel, he is described as a young shepherd and harpist who gains fame by slaying Goliath, a champion of the Philistines, in southern Canaan. David becomes a favourite of Saul, the first king of Israel; he also forges a notably close friendship with Jonathan, a son of Saul. However, under the paranoia that David is seeking to usurp the throne, Saul attempts to kill David, forcing the latter to go into hiding and effectively operate as a fugitive for several years. After Saul and Jonathan are both killed in battle against the Philistines, a 30-year-old David is anointed king over all of Israel and Judah. Following his rise to power, David ...
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The Mathematical Gardener
''The'' () is a grammatical article in English, denoting persons or things that are already or about to be mentioned, under discussion, implied or otherwise presumed familiar to listeners, readers, or speakers. It is the definite article in English. ''The'' is the most frequently used word in the English language; studies and analyses of texts have found it to account for seven percent of all printed English-language words. It is derived from gendered articles in Old English which combined in Middle English and now has a single form used with nouns of any gender. The word can be used with both singular and plural nouns, and with a noun that starts with any letter. This is different from many other languages, which have different forms of the definite article for different genders or numbers. Pronunciation In most dialects, "the" is pronounced as (with the voiced dental fricative followed by a schwa) when followed by a consonant sound, and as (homophone of the archaic pron ...
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Hokkien
The Hokkien () variety of Chinese is a Southern Min language native to and originating from the Minnan region, where it is widely spoken in the south-eastern part of Fujian in southeastern mainland China. It is one of the national languages in Taiwan, and it is also widely spoken within the Chinese diaspora in Singapore, Indonesia, Malaysia, the Philippines and other parts of Southeast Asia; and by other overseas Chinese beyond Asia and all over the world. The Hokkien 'dialects' are not all mutually intelligible, but they are held together by ethnolinguistic identity. Taiwanese Hokkien is, however, mutually intelligible with the 2 to 3 million speakers in Xiamen and Singapore. In Southeast Asia, Hokkien historically served as the '' lingua franca'' amongst overseas Chinese communities of all dialects and subgroups, and it remains today as the most spoken variety of Chinese in the region, including in Singapore, Malaysia, Indonesia, Philippines and some parts of Indochina (part ...
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Standard Cantonese
Cantonese ( zh, t=廣東話, s=广东话, first=t, cy=Gwóngdūng wá) is a language within the Chinese (Sinitic) branch of the Sino-Tibetan languages originating from the city of Guangzhou (historically known as Canton) and its surrounding area in Southeastern China. It is the traditional prestige variety of the Yue Chinese dialect group, which has over 80 million native speakers. While the term ''Cantonese'' specifically refers to the prestige variety, it is often used to refer to the entire Yue subgroup of Chinese, including related but largely mutually unintelligible languages and dialects such as Taishanese. Cantonese is viewed as a vital and inseparable part of the cultural identity for its native speakers across large swaths of Southeastern China, Hong Kong and Macau, as well as in overseas communities. In mainland China, it is the ''lingua franca'' of the province of Guangdong (being the majority language of the Pearl River Delta) and neighbouring areas such as Guangx ...
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Standard Chinese
Standard Chinese ()—in linguistics Standard Northern Mandarin or Standard Beijing Mandarin, in common speech simply Mandarin, better qualified as Standard Mandarin, Modern Standard Mandarin or Standard Mandarin Chinese—is a modern Standard language, standardized form of Mandarin Chinese that was first developed during the Republic of China (1912–1949), Republican Era (1912‒1949). It is designated as the official language of Languages of China, mainland China and a major language in the United Nations languages, United Nations, Languages of Singapore, Singapore, and Languages of Taiwan, Taiwan. It is largely based on the Beijing dialect. Standard Chinese is a pluricentric language with local standards in mainland China, Taiwan and Singapore that mainly differ in their lexicon. Hong Kong written Chinese, used for formal written communication in Hong Kong and Macau, is a form of Standard Chinese that is read aloud with the Cantonese reading of characters. Like other Sinit ...
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Numeral (linguistics)
In linguistics, a numeral (or number word) in the broadest sense is a word or phrase that describes a numerical quantity. Some theories of grammar use the word "numeral" to refer to cardinal numbers that act as a determiner that specify the quantity of a noun, for example the "two" in "two hats". Some theories of grammar do not include determiners as a part of speech and consider "two" in this example to be an adjective. Some theories consider "numeral" to be a synonym for "number" and assign all numbers (including ordinal numbers like the compound word "seventy-fifth") to a part of speech called "numerals". Numerals in the broad sense can also be analyzed as a noun ("three is a small number"), as a pronoun ("the two went to town"), or for a small number of words as an adverb ("I rode the slide twice"). Numerals can express relationships like quantity (cardinal numbers), sequence (ordinal numbers), frequency (once, twice), and part ( fraction). Identifying numerals Numerals m ...
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Korean Numerals
The Korean language has two regularly used sets of numerals: a native Korean system and Sino-Korean system. The native Korean number system is used for general counting, like counting up to 99. It is also used to count people, hours, objects, ages, and more. Sino-Korean numbers on the other hand are used for purposes such as dates, money, minutes, addresses, phone numbers, and numbers above 100. Construction For both native and Sino- Korean numerals, the teens (11 through 19) are represented by a combination of tens and the ones places. For instance, 15 would be ''sib-o'' (), but not usually ''il-sib-o'' in the Sino-Korean system, and ''yeol-daseot'' () in native Korean. Twenty through ninety are likewise represented in this place-holding manner in the Sino-Korean system, while Native Korean has its own unique set of words, as can be seen in the chart below. The grouping of large numbers in Korean follows the Chinese tradition of myriads (10000) rather than thousands (1000) ...
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