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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 for much larger numbers. In addition to providing an extended range, ''-yllion'' also dodges the long and short scale ambiguity of -illion. Knuth's digit grouping is 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 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 Chinese characters are used for 104, 108, 1012, 1016, and so on. Details and examples In Knuth's ''-yllion'' proposal: *1 to 999 still have ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Donald Knuth
Donald Ervin Knuth ( ; born January 10, 1938) is an American computer scientist and mathematician. He is a 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". Knuth is the author of the multi-volume work '' The Art of Computer Programming''. He 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 des ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Japanese Numerals
The are numerals that are 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 () readings of the Chinese characters and the Japanese (native words, 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 ( reading) and a native Japanese reading ( 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 is also found. It may be optionally used when reading individual digits of a number ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Notation
Mathematical notation consists of using glossary of mathematical symbols, symbols for representing operation (mathematics), operations, unspecified numbers, relation (mathematics), relations, and any other mathematical objects and assembling them into expression (mathematics), expressions and formulas. Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and property (philosophy), properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein's formula E=mc^2 is the quantitative representation in mathematical notation of 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 centuries by René Descartes, Isaac Newton, Gottfried Wilhelm Leibniz, and overall Leonhard Euler. Symbols and typeface The use of many symbols is the basis of mathematical notation. They play a s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerals
A numeral is a figure (symbol), word, or group of figures (symbols) or words 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 (known before the 20th century 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, ..., belief in a divine relationship between numbers and coinciding events {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David A
David (; , "beloved one") was a king of ancient Israel and Judah and the third king of the United Monarchy, according to the Hebrew Bible and Old Testament. The Tel Dan stele, an Aramaic-inscribed stone erected by a king of Aram-Damascus in the late 9th/early 8th centuries BCE to commemorate a victory over two enemy kings, contains the phrase (), which is translated as " House of David" by most scholars. The Mesha Stele, erected by King Mesha of Moab in the 9th century BCE, may also refer to the "House of David", although this is disputed. According to Jewish works such as the '' Seder Olam Rabbah'', '' Seder Olam Zutta'', and '' Sefer ha-Qabbalah'' (all written over a thousand years later), David ascended the throne as the king of Judah in 885 BCE. Apart from this, all that is known of David comes from biblical literature, the historicity of which has been extensively challenged,Writing and Rewriting the Story of Solomon in Ancient Israel; by Isaac Kalimi; page 3 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Mathematical Gardener
''The'' is a grammatical article in English, denoting nouns 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 pronoun ''thee' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polish Language
Polish (, , or simply , ) is a West Slavic languages, West Slavic language of the Lechitic languages, Lechitic subgroup, within the Indo-European languages, Indo-European language family, and is written in the Latin script. It is primarily spoken in Poland and serves as the official language of the country, as well as the language of the Polish diaspora around the world. In 2024, there were over 39.7 million Polish native speakers. It ranks as the sixth-most-spoken among languages of the European Union. Polish is subdivided into regional Dialects of Polish, dialects. It maintains strict T–V distinction pronouns, Honorifics (linguistics), honorifics, and various forms of formalities when addressing individuals. The traditional 32-letter Polish alphabet has nine additions (, , , , , , , , ) to the letters of the basic 26-letter Latin alphabet, while removing three (x, q, v). Those three letters are at times included in an extended 35-letter alphabet. The traditional set compri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hokkien
Hokkien ( , ) is a Varieties of Chinese, variety of the Southern Min group of Chinese language, Chinese languages. Native to and originating from the Minnan region in the southeastern part of Fujian in southeastern China, it is also referred to as Quanzhang ( zh, c=泉漳, poj=Choân-chiang, links=no), from the first characters of the urban centers of Quanzhou and Zhangzhou. Taiwanese Hokkien is one of the national languages in Taiwan. Hokkien is also widely spoken within the overseas Chinese diaspora in Singapore, Malaysia, the Philippines, Indonesia, Cambodia, Myanmar, Hong Kong, Thailand, Brunei, Vietnam, and elsewhere across the world. Mutual intelligibility between Hokkien dialects varies, but they are still held together by ethnolinguistic identity. In maritime Southeast Asia, Hokkien historically served as the lingua franca amongst overseas Chinese communities of Han Chinese subgroups, all dialects and subgroups, and it remains today as the most spoken Varieties of Ch ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Standard Cantonese
Cantonese is the traditional prestige variety of Yue Chinese, a Sinitic language belonging to the Sino-Tibetan language family. It originated in the city of Guangzhou (formerly known as Canton) and its surrounding Pearl River Delta. While the term ''Cantonese'' specifically refers to the prestige variety, in linguistics it has often been used to refer to the entire Yue subgroup of Chinese, including related but partially mutually intelligible varieties like 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 Guangxi. It is also the dominant and co-official language of Hong Kong and Macau. Furthermore, Cantonese is widely spoken among overseas Chinese in Sou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Standard Chinese
Standard Chinese ( zh, s=现代标准汉语, t=現代標準漢語, p=Xiàndài biāozhǔn hànyǔ, l=modern standard Han speech) is a modern standard form of Mandarin Chinese that was first codified during the republican era (1912–1949). It is designated as the official language of mainland China and a major language in the United Nations, Singapore, and 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 Sinitic languages, Standard Chinese is a tonal language with topic-prominent organization and subject–verb–object (SVO) word order. Compared with southern varieties, the language has fewer vowels, final consonants and tones, but more ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numeral (linguistics)
In linguistics, a numeral 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 "first") 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 may be attributive, as in ''two dogs'', or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
