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Base 5
Quinary (base 5 or pental) is a numeral system with five as the base. A possible origination of a quinary system is that there are five digits on either hand. In the quinary place system, five numerals, from 0 to 4, are used to represent any real number. According to this method, five is written as 10, twenty-five is written as 100, and sixty is written as 220. As five is a prime number, only the reciprocals of the powers of five terminate, although its location between two highly composite numbers ( 4 and 6) guarantees that many recurring fractions have relatively short periods. Comparison to other radices Usage Many languages use quinary number systems, including Gumatj, Nunggubuyu, Kuurn Kopan Noot, Luiseño, and Saraveca. Gumatj has been reported to be a true "5–25" language, in which 25 is the higher group of 5. The Gumatj numerals are shown below: However, Harald Hammarström reports that "one would not usually use exact numbers for counting th ...
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Numeral System
A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems. For example, "11" represents the number ''eleven'' in the decimal or base-10 numeral system (today, the most common system globally), the number ''three'' in the binary or base-2 numeral system (used in modern computers), and the number ''two'' in the unary numeral system (used in tallying scores). The number the numeral represents is called its ''value''. Additionally, not all number systems can represent the same set of numbers; for example, Roman, Greek, and Egyptian numerals don't have a representation of the number zero. Ideally, a numeral system will: *Represent a useful set of numbers (e.g. all integers, or rational numbers) *Give every number represented a unique representation (or a ...
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Luiseño Language
The Luiseño language is a Uto-Aztecan language of California spoken by the Luiseño, a Native Americans in the United States, Native American people who at the time of first contact with the Spanish in the 16th century inhabited the coastal area of southern California, ranging from the southern part of Los Angeles County, California, to the northern part of San Diego County, California, and inland . The people are called "Luiseño", owing to their proximity to the Mission San Luis Rey de Francia. History The language went extinct language, extinct in the early 2010's, but an active language revitalization project is underway, assisted by linguists from the University of California, Riverside. The Pechanga Band of Luiseño Indians offers classes for children, and in 2013, "the tribe ... began funding a graduate-level California State University, San Bernardino, Cal State San Bernardino Luiseño class, one of the few for-credit university indigenous-language courses in the cou ...
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Soroban
The is an abacus developed in Japan. It is derived from the History of Science and Technology in China, ancient Chinese suanpan, imported to Japan in the 14th century. Like the suanpan, the soroban is still used today, despite the proliferation of practical and affordable pocket electronic calculators. Construction The soroban is composed of an odd number of columns or rods, each having beads: one separate bead having a value of five, called and four beads each having a value of one, called . Each set of beads of each rod is divided by a bar known as a reckoning bar. The number and size of beads in each rod make a standard-sized 13-rod soroban much less bulky than a standard-sized suanpan of similar expressive power. The number of rods in a soroban is always odd and never fewer than seven. Basic models usually have thirteen rods, but the number of rods on practical or standard models often increases to 21, 23, 27 or even 31, thus allowing calculation of more digits or repres ...
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Suanpan
The suanpan (), also spelled suan pan or souanpan) is an abacus of Chinese origin, earliest first known written documentation of the Chinese abacus dates to the 2nd century BCE during the Han dynasty, and later, described in a 190 CE book of the Eastern Han dynasty, namely ''Supplementary Notes on the Art of Figures'' written by Xu Yue. However, the exact design of this suanpan is not known. Usually, a suanpan is about 20 cm (8 in) tall and it comes in various widths depending on the application. It usually has more than seven rods. There are two beads on each rod in the upper deck and five beads on each rod in the bottom deck. The beads are usually rounded and made of a hardwood. The beads are counted by moving them up or down towards the beam. The suanpan can be reset to the starting position instantly by a quick jerk around the horizontal axis to spin all the beads away from the horizontal beam at the center. Suanpans can be used for functions other than cou ...
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Abacus
An abacus ( abaci or abacuses), also called a counting frame, is a hand-operated calculating tool which was used from ancient times in the ancient Near East, Europe, China, and Russia, until the adoption of the Hindu–Arabic numeral system. An abacus consists of a two-dimensional array of Sliding (motion), slidable beads (or similar objects). In their earliest designs, the beads could be loose on a flat surface or sliding in grooves. Later the beads were made to slide on rods and built into a frame, allowing faster manipulation. Each rod typically represents one Numerical digit, digit of a multi-digit number laid out using a positional numeral system such as base ten (though some cultures used different numerical bases). Roman Empire, Roman and East Asian abacuses use a system resembling bi-quinary coded decimal, with a top deck (containing one or two beads) representing fives and a bottom deck (containing four or five beads) representing ones. Natural numbers are normally use ...
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Vinculum (symbol)
\overline = 0. \overline Y = \overline \sqrt[n] a-\overline = a − (b + c) bracketing function Vinculum usage A vinculum () is a horizontal line used in mathematical notation for various purposes. It may be placed as an ''overline'' or ''underline'' above or below a mathematical expression to group the expression's elements. Historically, vincula were extensively used to group items together, especially in written mathematics, but in modern mathematics its use for this purpose has almost entirely been replaced by the use of parentheses. It was also used to Roman numerals#Vinculum, mark Roman numerals whose values are multiplied by 1,000. Today, however, the common usage of a vinculum to indicate the repetend of a repeating decimal is a significant exception and reflects the original usage. History The vinculum, in its general use, was introduced by Frans van Schooten in 1646 as he edited the works of François Viète (who had himself not used this notation). However, ea ...
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50 (number)
50 (fifty) is the natural number following 49 and preceding 51. In mathematics Fifty is the smallest number that is the sum of two non-zero square numbers in two distinct ways. 50 is a Stirling number of the first kind and a Narayana number. In science * The fifth magic number in nuclear physics In religion * The traditional number of years in a jubilee period.Leviticus 25:10 * The Solemnity of Pentecost is celebrated fifty days from and including Easter Sunday. The Greek word pentekoste means fiftieth, hence the name. * The fifty Hail Mary during the meditation of the mysteries of the life of Jesus and the Virgin Mary of the Holy Rosary * In Hindu tantric tradition, the number 50 holds significance as the 50 Rudras in the Malinīvijayottara correlate with the 50 phonemes of Sanskrit, as well as with the 50 severed heads worn around goddess Kali's head. The mantra ''Aham'' ("I am"), as laid out in the Vijñāna Bhairava represents the first अ(a) and last ह(h ...
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Roman Numeral
Roman numerals are a numeral system that originated in ancient Rome and remained the usual way of writing numbers throughout Europe well into the Late Middle Ages. Numbers are written with combinations of letters from the Latin alphabet, each with a fixed integer value. The modern style uses only these seven: The use of Roman numerals continued long after the decline of the Roman Empire. From the 14th century on, Roman numerals began to be replaced by Arabic numerals; however, this process was gradual, and the use of Roman numerals persisted in various places, including on clock faces. For instance, on the clock of Big Ben (designed in 1852), the hours from 1 to 12 are written as: The notations and can be read as "one less than five" (4) and "one less than ten" (9), although there is a tradition favouring the representation of "4" as "" on Roman numeral clocks. Other common uses include year numbers on monuments and buildings and copyright dates on the title screen ...
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Khmer Language
Khmer ( ; , Romanization of Khmer#UNGEGN, UNGEGN: ) is an Austroasiatic language spoken natively by the Khmer people. This language is an official language and national language of Cambodia. The language is also widely spoken by Khmer people in Eastern Thailand and Isan, Thailand, as well as in the Southeast (Vietnam), Southeastern and Mekong Delta regions of Vietnam. Khmer has been influenced considerably by Sanskrit and Pali especially in the royal and religious Register (sociolinguistics), registers, through Hinduism and Buddhism, due to Old Khmer being the language of the historical empires of Chenla and Angkorian Empire, Angkor. The vast majority of Khmer speakers speak ''Central Khmer'', the dialect of the central plain where the Khmer are most heavily concentrated. Within Cambodia, regional accents exist in remote areas but these are regarded as varieties of Central Khmer. Two exceptions are the speech of the capital, Phnom Penh, and that of the Khmer Khe in Stung Treng ...
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Wolof Language
Wolof ( ; , ) is a Niger–Congo language spoken by the Wolof people in much of the West African subregion of Senegambia that is split between the countries of Senegal, The Gambia and Mauritania. Like the neighbouring languages Serer and Fula, it belongs to the Senegambian branch of the Niger–Congo language family. Unlike most other languages of its family, Wolof is not a tonal language. Wolof is the most widely spoken language in Senegal, spoken natively by the Wolof people (40% of the population) but also by most other Senegalese as a second language. Wolof dialects vary geographically and between rural and urban areas. The principal dialect of Dakar, for instance, is an urban mixture of Wolof, French, and Arabic. ''Wolof'' is the standard spelling and may also refer to the Wolof ethnicity or culture. Variants include the older French , , or , which now typically refers either to the Jolof Empire or to jollof rice, a common West African rice dish. Now-archaic forms incl ...
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Biquinary
Bi-quinary coded decimal is a numeral encoding scheme used in many abacuses and in some early computers, notably the Colossus. The term ''bi-quinary'' indicates that the code comprises both a two-state (''bi'') and a five-state (''quin''ary) component. The encoding resembles that used by many abacuses, with four beads indicating the five values either from 0 through 4 or from 5 through 9 and another bead indicating which of those ranges (which can alternatively be thought of as +5). Several human languages, most notably Fula and Wolof also use biquinary systems. For example, the Fula word for 6, ''jowi e go'o'', literally means ''five lusone''. Roman numerals use a symbolic, rather than positional, bi-quinary base, even though Latin is completely decimal. The Korean finger counting system Chisanbop uses a bi-quinary system, where each finger represents a one and a thumb represents a five, allowing one to count from 0 to 99 with two hands. One advantage of one bi-qui ...
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Decimal
The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers (''decimal fractions'') of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as ''decimal notation''. A decimal numeral (also often just ''decimal'' or, less correctly, ''decimal number''), refers generally to the notation of a number in the decimal numeral system. Decimals may sometimes be identified by a decimal separator (usually "." or "," as in or ). ''Decimal'' may also refer specifically to the digits after the decimal separator, such as in " is the approximation of to ''two decimals''". Zero-digits after a decimal separator serve the purpose of signifying the precision of a value. The numbers that may be represented in the decimal system are the decimal fractions. That is, fractions of the form , w ...
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