Short Scale
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Short Scale
The long and short scales are two of several naming systems for integer power of 10, powers of ten which use some of the same terms for different magnitudes. For whole numbers smaller than 1,000,000,000 (109), such as one thousand or one million, the two scales are identical. For larger numbers, starting with 109, the two systems differ. For identical names, the long scale proceeds by powers of one million, whereas the short scale proceeds by powers of one thousand. For example, in the short scale, "one billion" means one thousand millions (1,000,000,000), whereas in the long scale, it means one million millions (1,000,000,000,000). For interleaved values, the long scale system employs additional terms, typically substituting the word ending -ion for -iard. Some languages, particularly in East Asia and South Asia, have large number naming systems that are different from both the long and short scales, such as Chinese numerals, Chinese, Japanese numerals#Powers of 10, Japan ...
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Power Of 10
A power of 10 is any of the integer exponentiation, powers of the number 10 (number), ten; in other words, ten multiplication, multiplied by itself a certain number of times (when the power is a positive integer). By definition, the number one is a power (the zeroth power) of ten. The first few non-negative powers of ten are: :1, 10, 100 (number), 100, 1,000, 10,000, 100,000, 1,000,000, 10,000,000. ... Positive powers In decimal notation the ''n''th power of ten is written as '1' followed by ''n'' zeroes. It can also be written as 10''n'' or as 1E''n'' in E notation. See order of magnitude and orders of magnitude (numbers) for named powers of ten. There are two conventions for naming positive powers of ten, beginning with 109, called the long and short scales. Where a power of ten has different names in the two conventions, the long scale name is shown in parentheses. The positive 10 power related to a short scale name can be determined based on its Latin name-prefix using the ...
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Billion
Billion is a word for a large number, and it has two distinct definitions: *1,000,000,000, i.e. one thousand million, or (ten to the ninth power), as defined on the short scale. This is its only current meaning in English. * 1,000,000,000,000, i.e. one million million, or (ten to the twelfth power), as defined on the long scale. This number, which is one thousand times larger than the short scale billion, is now referred to in English as one trillion. However, this number is the historical meaning in English for the word "billion" (with the exception of the United States), a meaning was still in official use in British English until some time after World War II. American English adopted the short scale definition from the French (it enjoyed usage in France at the time, alongside the long-scale definition). The United Kingdom used the long scale billion until 1974, when the government officially switched to the short scale, but since the 1950s the short scale had already been incre ...
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United Kingdom
The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a country in Europe, off the north-western coast of the continental mainland. It comprises England, Scotland, Wales and Northern Ireland. The United Kingdom includes the island of Great Britain, the north-eastern part of the island of Ireland, and many smaller islands within the British Isles. Northern Ireland shares a land border with the Republic of Ireland; otherwise, the United Kingdom is surrounded by the Atlantic Ocean, the North Sea, the English Channel, the Celtic Sea and the Irish Sea. The total area of the United Kingdom is , with an estimated 2020 population of more than 67 million people. The United Kingdom has evolved from a series of annexations, unions and separations of constituent countries over several hundred years. The Treaty of Union between the Kingdom of England (which included Wales, annexed in 1542) and the Kingdom of Scotland in 170 ...
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English-speaking World
Speakers of English are also known as Anglophones, and the countries where English is natively spoken by the majority of the population are termed the '' Anglosphere''. Over two billion people speak English , making English the largest language by number of speakers, and the third largest language by number of native speakers. England and the Scottish Lowlands, countries of the United Kingdom, are the birthplace of the English language, and the modern form of the language has been being spread around the world since the 17th century, first by the worldwide influence of England and later the United Kingdom, and then by that of the United States. Through all types of printed and electronic media of these countries, English has become the leading language of international discourse and the lingua franca in many regions and professional contexts such as science, navigation and law. The United Kingdom remains the largest English-speaking country in Europe. The United States a ...
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Geneviève Guitel
Geneviève Guitel (24 May 1895 – 30 July 1982) was a French mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On .... She is mostly remembered for the introduction of the terms ''échelle longue'' and ''échelle courte'' ( ''long scale'' and ''short scale'') to refer to two of the main numbering systems used around the world. She was appointed as mathematics teacher in 1920 and taught at the Lycée Molière in Paris. She published mathematical papers over at least the period 1943–1979. Publications Her publications include ''Histoire comparée des numérations écrites'', where on p. 51–52 and in the chapter "Les grands nombres en numération parlée", p. 566–574, (English: The large numbers in oral numeration), she made the first recorded use of ...
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Politics Of Italy
The politics of Italy are conducted through a parliamentary republic with a multi-party system. Italy has been a democratic republic since 2 June 1946, when the monarchy was abolished by popular referendum and a constituent assembly was elected to draft a constitution, which was promulgated on 1 January 1948. Executive power is exercised by the Council of Ministers, which is led by the Prime Minister, officially referred to as "President of the Council" (''Presidente del Consiglio''). Legislative power is vested primarily in the two houses of Parliament and secondarily in the Council of Ministers, which can introduce bills and holds the majority in both houses. The judiciary is independent of the executive and the legislative branches. It is headed by the High Council of the Judiciary, a body presided over by the President, who is the head of state, though this position is separate from all branches. The current president is Sergio Mattarella, and the current prime minister i ...
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Universität Leipzig
Leipzig University (german: Universität Leipzig), in Leipzig in Saxony, Germany, is one of the world's oldest University, universities and the List of universities in Germany#Universities by years of existence, second-oldest university (by consecutive years of existence) in Germany. The university was founded on 2 December 1409 by Frederick I, Elector of Saxony and his brother William II, Margrave of Meissen, and originally comprised the four scholastic faculties. Since its inception, the university has engaged in teaching and research for over 600 years without interruption. Famous alumni include Gottfried Wilhelm von Leibniz, Johann Wolfgang von Goethe, Leopold von Ranke, Friedrich Nietzsche, Robert Schumann, Richard Wagner, Tycho Brahe, Georgius Agricola, Angela Merkel and ten Nobel laureates associated with the university. History Founding and development until 1900 The university was modelled on the Charles University in Prague, University of Prague, from which the G ...
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Dover Publications
Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward and Blanche Cirker. It primarily reissues books that are out of print from their original publishers. These are often, but not always, books in the public domain. The original published editions may be scarce or historically significant. Dover republishes these books, making them available at a significantly reduced cost. Classic reprints Dover reprints classic works of literature, classical sheet music, and public-domain images from the 18th and 19th centuries. Dover also publishes an extensive collection of mathematical, scientific, and engineering texts. It often targets its reprints at a niche market, such as woodworking. Starting in 2015, the company branched out into graphic novel reprints, overseen by Dover acquisitions editor and former comics writer and editor Drew Ford. Most Dover reprints are photo facsimiles of the originals, retaining the original pagination and ...
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1728 (number)
1728 is the natural number following 1727 and preceding 1729. 1728 is a dozen gross, one great gross (or grand gross). It is the number of cubic inches in a cubic foot. It is also the number of daily chants of the Hare Krishna mantra by a Hare Krishna devotee. The number comes from 16 rounds on a 108 japamala bead. In mathematics 1728 is the cube of 12 and, as such, is important in the duodecimal number system, in which it is represented as "1000". * 1728 = 123 * 1728 = 33 × 43 * 1728 = 23 × 63 * 1728 = 63 + 83 + 103 * 1728 = 242 + 242 + 242 * 1728 = 2893 + 2873 + (−288)3 + (−288)3 * 28 divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728 1728 is the number of directed open knight's tours on a chessboard. 1728 occurs in the algebraic formula for the j-invariant of an elliptic curve, as a function over a complex variable on the upper half-plane \,\mathcal : \, :j(\tau) = 1728 \frac = 1728 \fra ...
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Great Gross
1728 is the natural number following 1727 and preceding 1729. 1728 is a dozen gross, one great gross (or grand gross). It is the number of cubic inches in a cubic foot. It is also the number of daily chants of the Hare Krishna mantra by a Hare Krishna devotee. The number comes from 16 rounds on a 108 japamala bead. In mathematics 1728 is the cube of 12 and, as such, is important in the duodecimal number system, in which it is represented as "1000". * 1728 = 123 * 1728 = 33 × 43 * 1728 = 23 × 63 * 1728 = 63 + 83 + 103 * 1728 = 242 + 242 + 242 * 1728 = 2893 + 2873 + (−288)3 + (−288)3 * 28 divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728 1728 is the number of directed open knight's tours on a chessboard. 1728 occurs in the algebraic formula for the j-invariant of an elliptic curve, as a function over a complex variable on the upper half-plane \,\mathcal : \, :j(\tau) = 1728 \frac = 1728 \fr ...
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Order Of Magnitude
An order of magnitude is an approximation of the logarithm of a value relative to some contextually understood reference value, usually 10, interpreted as the base of the logarithm and the representative of values of magnitude one. Logarithmic distributions are common in nature and considering the order of magnitude of values sampled from such a distribution can be more intuitive. When the reference value is 10, the order of magnitude can be understood as the number of digits in the base-10 representation of the value. Similarly, if the reference value is one of some powers of 2, since computers store data in a binary format, the magnitude can be understood in terms of the amount of computer memory needed to store that value. Differences in order of magnitude can be measured on a base-10 logarithmic scale in “decades” (i.e., factors of ten). Examples of numbers of different magnitudes can be found at Orders of magnitude (numbers). Definition Generally, the order of magnitude ...
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Metric Prefix
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, ...
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