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Gross (unit)
In English and related languages, several terms involving the words "great" or "gross" relate to numbers involving a multiple of exponents of twelve (dozen): *A gross refers to a group of 144 items (a dozen dozen or a square dozen, 122). *A great gross refers to a group of 1,728 items (a dozen gross or a cubic dozen, 123)... *A small gross or a great hundred refers to a group of 120 items (ten dozen, 10×12). The term can be abbreviated ''gr.'' or ''gro.'', and dates from the early 15th century. It derives from the Old French ''grosse douzaine'', meaning "large dozen”. The continued use of these terms in measurement and counting represents the duodecimal number system. This has led groups such as the Dozenal Society of America to advocate for wider use of "gross" and related terms instead of the decimal system.. See also * Long hundred The long hundred, also known as the great hundred or twelfty, is the number 120 (in base-10 Hindu-Arabic numerals) that was referred to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
12 (number)
12 (twelve) is the natural number following 11 (number), 11 and preceding 13 (number), 13. Twelve is the 3rd superior highly composite number, the 3rd colossally abundant number, the 5th highly composite number, and is divisible by the numbers from 1 (number), 1 to 4 (number), 4, and 6 (number), 6, a large number of divisors comparatively. It is central to many systems of timekeeping, including the Gregorian calendar, Western calendar and time, units of time of day, and frequently appears in the world's major religions. Name Twelve is the largest number with a monosyllable, single-syllable name in English language, English. Early Germanic languages, Germanic numbers have been theorized to have been non-decimal: evidence includes the unusual phrasing of 11 (number), eleven and twelve, the long hundred, former use of "hundred" to refer to groups of 120 (number), 120, and the presence of glosses such as "tentywise" or "ten-count" in medieval texts showing that writers could not pres ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dozen
A dozen (commonly abbreviated doz or dz) is a grouping of twelve. The dozen may be one of the earliest primitive integer groupings, perhaps because there are approximately a dozen cycles of the Moon, or months, in a cycle of the Sun, or year. Twelve is convenient because it has a maximal number of divisors among the numbers up to its double, a property only true of 1, 2, 6, 12, 60, 360, and 2520. The use of twelve as a base number, known as the duodecimal system (also as ''dozenal''), originated in Mesopotamia (see also sexagesimal). Twelve dozen (122 = 144) are known as a gross; and twelve gross (123 = 1,728, the duodecimal 1,000) are called a great gross, a term most often used when shipping or buying items in bulk. A great hundred, also known as a small gross, is 120 or ten dozen. Dozen may also be used to express a moderately large quantity as in "several dozen" (e.g., dozens of people came to the party). Varying by country, some products are packaged or sold b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
144 (number)
144 (one hundred [and] forty-four) is the natural number following 143 (number), 143 and preceding 145 (number), 145. It is coincidentally both the Square number, square of twelve (a dozen dozens, or one Gross (unit), gross) and the twelfth Fibonacci number, and the only Triviality (mathematics), nontrivial number in the sequence that is square. Mathematics 144 is a highly totient number. 144 is the smallest number whose fifth Power (mathematics), power is a sum of four (smaller) fifth powers. This solution was found in 1966 by L. J. Lander and T. R. Parkin, and disproved Euler's sum of powers conjecture. It was famously published in a paper by both authors, whose body consisted of only two sentences: It is also a square (12·12=144). In other fields * 1:144 scale is a scale used for some scale models. * Several computers use 144Hz. References * Wells, D. ''The Penguin Dictionary of Curious and Interesting Numbers''. London: Penguin Group. (1987): 139–140. External link ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1728 (number)
1728 is the natural number following 1727 and preceding 1729. It is a dozen gross, or one great gross (or grand gross). It is also the number of cubic inches in a cubic foot. In mathematics 1728 is the cube of 12, and therefore equal to the product of the six divisors of 12 ( 1, 2, 3, 4, 6, 12). It is also the product of the first four composite numbers (4, 6, 8, and 9), which makes it a compositorial. As a cubic perfect power, it is also a highly powerful number that has a record value ( 18) between the product of the exponents (3 and 6) in its prime factorization. \begin 1728& = 3^ \times4^ = 2^ \times 6^ = \mathbf \\ 1728& = 6^ + 8^ + 10^ \\ 1728& = 24^ + 24^ + 24^ \\ \end It is also a ''Jordan–Pólya'' number such that it is a product of factorials: 2! \times (3!)^ \times4! = 1728. 1728 has twenty-eight divisors, which is a perfect count (as with 12, with six divisors). It also has a Euler totient of 576 or 242, which divides 1728 thrice over. 1728 is a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Association Of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary education and research which awards academic degrees in several Discipline (academia), academic disciplines. ''University'' is derived from the Latin phrase , which roughly ..., college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry. The MAA was founded in 1915 and is headquartered at 11 Dupont in the Dupont Circle, Washington, D.C., Dupont Circle neighborhood of Washington, D.C. The organization publishes mathematics journals and books, including the ''American Mathematical Monthly'' (established in 1894 by Benjamin Finkel), the most widely read mathematics journal in the world according to re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
120 (number)
120 (one hundred ndtwenty) is the natural number following 119 and preceding 121. In the Germanic languages, the number 120 was also formerly known as "one hundred". This "hundred" of six score is now obsolete but is described as the long hundred or great hundred in historical contexts. In mathematics 120 is * the factorial of 5, i.e., 5!=5\cdot 4\cdot 3\cdot 2\cdot 1. * the fifteenth triangular number, as well as the sum of the first eight triangular numbers, making it also a tetrahedral number. 120 is the smallest number to appear six times in Pascal's triangle (as all triangular and tetragonal numbers appear in it). Because 15 is also triangular, 120 is a doubly triangular number. 120 is divisible by the first five triangular numbers and the first four tetrahedral numbers. It is the eighth hexagonal number. * The 10th highly composite, the 5th superior highly composite, superabundant, and the 5th colossally abundant number. It is also a sparsely totient number. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duodecimal
The duodecimal system, also known as base twelve or dozenal, is a positional numeral system using twelve as its base. In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0 units; in the decimal system, this number is instead written as "12" meaning 1 ten and 2 units, and the string "10" means ten. In duodecimal, "100" means twelve squared (144), "1,000" means twelve cubed (1,728), and "0.1" means a twelfth (0.08333...). Various symbols have been used to stand for ten and eleven in duodecimal notation; this page uses and , as in hexadecimal, which make a duodecimal count from zero to twelve read 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, , , and finally 10. The Dozenal Societies of America and Great Britain (organisations promoting the use of duodecimal) use turned digits in their published material: (a turned 2) for ten (dek, pronounced dɛk) and (a turned 3) for eleven (el, pronounced ɛl). The number twelve, a superior highly composite number, is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Guardian
''The Guardian'' is a British daily newspaper. It was founded in Manchester in 1821 as ''The Manchester Guardian'' and changed its name in 1959, followed by a move to London. Along with its sister paper, ''The Guardian Weekly'', ''The Guardian'' is part of the Guardian Media Group, owned by the Scott Trust Limited. The trust was created in 1936 to "secure the financial and editorial independence of ''The Guardian'' in perpetuity and to safeguard the journalistic freedom and liberal values of ''The Guardian'' free from commercial or political interference". The trust was converted into a limited company in 2008, with a constitution written so as to maintain for ''The Guardian'' the same protections as were built into the structure of the Scott Trust by its creators. Profits are reinvested in its journalism rather than distributed to owners or shareholders. It is considered a newspaper of record in the UK. The editor-in-chief Katharine Viner succeeded Alan Rusbridger in 2015. S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Long Hundred
The long hundred, also known as the great hundred or twelfty, is the number 120 (in base-10 Hindu-Arabic numerals) that was referred to as ''hund,'' ''hund-teontig,'' ''hundrað'', ''hundrath'', or ''hundred'' in Germanic languages prior to the 15th century, and is now known as ''one hundred'' (''and'') ''twenty'', or ''six score''. The number was translated into Latin in Germanic-speaking countries as (Roman numeral C), but the qualifier ''long'' is now added because English now uses ''hundred'' exclusively to refer to the number of five score ( 100) instead. The long hundred was 120, but the long thousand was reckoned decimally as 10 long hundreds ( 1200). English unit The hundred () was an English unit of measurement used in the production, sale and taxation of various items in the medieval kingdom of England. The value was often different from 100 units, mostly because of the continued medieval use of the Germanic long hundred of 120. The unit's use as a measure of we ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Integers
An integer is the number zero (0), a positive natural number (1, 2, 3, ...), or the negation of a positive natural number (−1, −2, −3, ...). The negations or additive inverses of the positive natural numbers are referred to as negative integers. The set (mathematics), set of all integers is often denoted by the boldface or blackboard bold The set of natural numbers \mathbb is a subset of \mathbb, which in turn is a subset of the set of all rational numbers \mathbb, itself a subset of the real numbers \mathbb. Like the set of natural numbers, the set of integers \mathbb is Countable set, countably infinite. An integer may be regarded as a real number that can be written without a fraction, fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, , 5/4, and Square root of 2, are not. The integers form the smallest Group (mathematics), group and the smallest ring (mathematics), ring containing the natural numbers. In algebraic number theory, the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
