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A packing of PG(3, 2) is a partition of the 35 lines into 7 disjoint spreads of 5 lines each, and corresponds to a solution for all seven days. There are 240 packings of PG(3, 2), that fall into two conjugacy classes of 120 under the action of PGL(4, 2) (the collineation group of the space); a correlation interchanges these two classes. [6]
In mathematics, the triple bar is sometimes used as a symbol of identity or an equivalence relation (although not the only one; other common choices include ~ and ≈). [ 7 ] [ 8 ] Particularly, in geometry , it may be used either to show that two figures are congruent or that they are identical. [ 9 ]
Euler's identity is considered an exemplar of mathematical beauty, as it shows a profound connection between the most fundamental numbers in mathematics. In addition, it is directly used in a proof [ 3 ] [ 4 ] that π is transcendental , which implies the impossibility of squaring the circle .
Euler's formula is ubiquitous in mathematics, physics, chemistry, and engineering. The physicist Richard Feynman called the equation "our jewel" and "the most remarkable formula in mathematics". [2] When x = π, Euler's formula may be rewritten as e iπ + 1 = 0 or e iπ = −1, which is known as Euler's identity.
ICD-9-CM Volume 3 is a system of procedural codes used by health insurers to classify medical procedures for billing purposes. It is a subset of the International Statistical Classification of Diseases and Related Health Problems (ICD) 9-CM. Volumes 1 and 2 are used for diagnostic codes.
The cult appears to have had its center in Rome, [3] and was popular throughout the western half of the empire, as far south as Roman Africa and Numidia, as far east as Roman Dacia, as far north as Roman Britain, [4] (pp 26–27) and to a lesser extent in Roman Syria in the east. [3] Mithraism is viewed as a rival of early Christianity.
Game theory is the study of mathematical models of strategic interactions. [1] It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. [2]
According to the 2011 census, there were 10.1 million child labourers in the country, a decline of 2.6 million from 12.6 million in 2001. [354] Since 1991, economic inequality between India's states has consistently grown: the per-capita net state domestic product of the richest states in 2007 was 3.2 times that of the poorest. [355]