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Divisia index
The Divisia index is an index number whose growth rate is the expenditure-share-weighted average of its components' growth rates, introduced by François Divisia in 1926.
Divisibility (ring theory)
Divisibility in ring theory studies when one element of a ring divides another, generalizing integer divisibility; properties like unique factorization into primes can fail in general rings.
Divisibility rule
A divisibility rule, also called a divisibility test, is a shortcut that checks whether an integer is divisible by another by examining its digits instead of dividing.
Division (mathematics)
Division is the arithmetic operation of taking the ratio of two numbers, the inverse of multiplication, where x is the dividend, y the divisor, and the result the quotient.
Division (military)
A division, also known as an army division, is a large military formation of several brigades with thousands of soldiers, combining infantry, armor, artillery, and engineers under one headquarters.
Division algorithm
The division algorithm is a theorem of elementary number theory: any integer divided by a nonzero divisor yields a unique quotient and remainder, with 0 ≤ r < divisor.
Division by zero
Division by zero, also called dividing by zero or a zero denominator, is dividing a number by zero, undefined for real numbers, with 0/0 an indeterminate form.
División del Norte
The División del Norte was the revolutionary army formed in Durango in 1913 under Pancho Villa during the Mexican Revolution, defeating Huerta in 1914 before its defeat in 1915.
Division literature
Division literature (분단문학, bundan munhak) is Korean literature about the peninsula's division and the Korean War, spanning anti-communist, humanistic, ideological, and war-childhood novels by writers such as Yun Heung-gil and Ch'oe Inhun, plus related poetry, criticism, and Paik Nak-chung's division system theory.
División Minúscula
División Minúscula is a Mexican pop-rock band formed in 1996 in Matamoros, Tamaulipas, whose 2006 album Defecto Perfecto went gold on the strength of "Sognare".
Division of Airlangga's kingdom
The division of Airlangga's kingdom (Pembagian kerajaan Airlangga) partitioned Java's Kahuripan into Janggala and Panjalu (Kediri) in the mid-11th century, mediated by Mpu Bharada; Panjalu subdued Janggala in the 1130s.
Division of Chenla into Land and Water Chenla
The division of Chenla into Land and Water Chenla split the Khmer kingdom in the early eighth century after Jayavarman I died, ending with reunification in 802.
Division of Korea
Division of Korea: the 1945 partition of the Korean peninsula at the 38th parallel into a US-occupied south and Soviet-occupied north, made under the pretense of disarming Japanese forces, becoming two states in 1948 and a permanent DMZ after the 1953 armistice.
Division of labour
Division of labor is the separation of a work process into tasks, each performed by a separate person or group, a basic principle of the assembly line.
Division of Northern Wei
The division of Northern Wei was the dynasty's 534–535 split into Eastern Wei and Western Wei after Emperor Xiaowu fled the dominant general Gao Huan.
Division of the Karakhanid Khanate
The division of the Karakhanid Khanate, around 1040, split the unified khanate into an eastern khanate at Balasagun and a western khanate at Samarkand under Ibrahim Tamghaj Khan; both later became Seljuq vassals in 1089.
Division of the Kingdom
The Division of the Kingdom, or Schism of Jeroboam and Rehoboam, was the split of the Israelite monarchy around 931 BC into Israel under Jeroboam and Judah under Rehoboam.
Division of the Koch kingdom
The Division of the Koch kingdom (কোচ ৰাজ্যৰ বিভাজন) was the 1581 partition of the Koch state between Maharaja Nara Narayan and his nephew Raghudev Narayan.
Division of the Mongol Empire
The Division of the Mongol Empire was the process by which Genghis Khan's unified empire, founded in 1206, split in the 1260s into four khanates: the Golden Horde, Chagatai Khanate, Ilkhanate, and Yuan dynasty.
División Palermo
División Palermo is an Argentine Netflix comedy series created, directed by, and starring Santiago Korovsky, about an inclusive urban guard in Buenos Aires. Two seasons (2023, 2025); won a 2024 International Emmy for Best Comedy.
Division ring
A division ring, also called a skew field, is a nonzero ring in which every nonzero element has a multiplicative inverse, while multiplication need not commute.
Division sign
The division sign (÷), also called the obelus, is a mathematical symbol used to indicate division. Johann Rahn first used it for division in his 1659 book Teutsche Algebra.
Divisionism
Divisionism is a painting technique that applies pure, unmixed pigments in small touches so colors blend optically in the eye, developed by Georges Seurat in France from 1884.
Divisions of Bangladesh
The divisions of Bangladesh are the country's eight highest administrative units, including Dhaka, Chattogram, Rajshahi, and Sylhet, grouping 64 districts. Dhaka was first, in 1829; Mymensingh was eighth, in 2015.
Divisions of Pakistan
Divisions of Pakistan are the administrative tier between provinces and districts, headed by divisional commissioners. Inherited from British India, they numbered 10 in 1947 and 37 in united Pakistan, were abolished in 2000, and restored in 2008.
Divisions of the United States Army
Divisions of the United States Army are combined-arms formations of 10,000 to 20,000 soldiers commanded by a major general, first made permanent in 1917, reorganized as square, triangular, pentomic, ROAD, and brigade-centric structures, and now the Army's basic warfighting unit.
Divisions of the world in Islam
Divisions of the world in Islam: dār al-Islām (abode of Islam) and dār al-ḥarb (abode of war), with dār al-ʿahd as a third abode of treaty; classical Islamic jurisprudence's territorial classifications, their Hanafi criteria, and modern reinterpretations.
Divisor
A divisor (also called a factor) of an integer n is an integer that divides n with no remainder; its study is the starting point of number theory.
Divisor (algebraic geometry)
In algebraic geometry, a divisor is a formal object on an algebraic variety or scheme recording codimension-1 subvarieties with integer multiplicities, tied to line bundles through the Picard group.
Divisor function
The divisor function, also called the sum-of-divisors function, is the number-theoretic function σk(n) summing the k-th powers of n's divisors; σ0 counts them and σ1 adds them up.