Pascal's triangle can be used as a lookup table for the number of arbitrarily dimensioned elements within a single arbitrarily dimensioned version of a triangle (known as a simplex). For example, consider the 3rd line of the triangle, with values 1, 3, 3, 1. A 2-dimensional triangle has one 2-dimensional element (itself), 3 1-dimensional elements (lines, or edges), and 3 0-dimensional elements (vertices, or corners). The meaning of the final number (1) is more difficult to explain (but see below). Continuing with our example, a tetrah ...

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Pascal's triangle, Pascal's triangle - The triangle, Pascal's triangle - Uses of Pascal's triangle, Pascal's triangle - Properties of Pascal's triangle, Pascal's triangle - Geometric properties of Pascal's triangle, Pascal's triangle - Pascal's triangle and the matrix exponential, Pascal's triangle - History

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All songs except "Mad World" (written by Roland Orzabal) were by Michael Andrews. ...

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Donnie Darko soundtrack, Donnie Darko soundtrack - Track listing, Donnie Darko soundtrack - Production, Donnie Darko soundtrack - Album, Donnie Darko soundtrack - 2-Disc British Edition, Donnie Darko soundtrack - Track Listing

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Halloween film series - Halloween. Main article: Halloween (film) The first film, Halloween, was released in 1978. It was directed by John Carpenter and produced by Debra Hill. John and Debra wrote the screenplay together (based on an idea by Irwin Yablans). The film starred Donald Pleasence and it marked the motion picture debut of Jamie Lee Curtis. Shot on a budget of $320,000, it became one of the most successful independent films ever. The town of Haddonfield, A small, quiet suburban town where the majority of the film takes place, is the same na ...

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Halloween film series, Halloween film series - The series, Halloween film series - Halloween, Halloween film series - Halloween II, Halloween film series - Halloween III: Season of the Witch, Halloween film series - Post-Carpenter sequels, Halloween film series - Dimension Films sequels, Halloween film series - The film rights

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A number of metric systems of units have evolved since the adoption of the original metric system in France in 1791. The current international standard metric system is the International system of units. Prior to the global adoption of the metric system many different systems of measurement had been in use. Many of these were related to some extent or other. Often they were based on the dimensions of the human body. Both the Imperial units and US customary units derive from earlier English units. Imperial units were mostly used ...

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Units of measurement, Units of measurement - Introduction, Units of measurement - History, Units of measurement - Systems of measurement, Units of measurement - Base and derived units, Units of measurement - Calculations with units, Units of measurement - Units as dimensions, Units of measurement - Guidelines, Units of measurement - Expressing a physical value in terms of another unit

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The isometries of R3 which leave the origin fixed, forming the group O(3,R), can be categorized as follows: SO(3,R): identity rotation about an axis through the origin by an angle not equal to 180° rotation about an axis through the origin by an angle of 180° the same with inversion (x is mapped to −x), i.e. respectively: inversion rotation about an axis by an angle not equal to 180°, combined ...

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Point groups in three dimensions, Point groups in three dimensions - Group structure, Point groups in three dimensions - 3D isometries which leave the origin fixed, Point groups in three dimensions - Conjugacy, Point groups in three dimensions - Infinite isometry groups, Point groups in three dimensions - Finite isometry groups, Point groups in three dimensions - The seven infinite series, Point groups in three dimensions - The seven remaining point groups, Point groups in three dimensions - Relation between orbifold notation and order, Point groups in three dimensions - Rotation groups, Point groups in three dimensions - Correspondence between rotation groups and other groups, Point groups in three dimensions - Maximal symmetries, Point groups in three dimensions - The groups arranged by abstract group type, Point groups in three dimensions - Symmetry groups in 3D which are cyclic as abstract group, Point groups in three dimensions - Symmetry groups in 3D which are dihedral as abstract group, Point groups in three dimensions - Other, Point groups in three dimensions - Impossible discrete symmetries, Point groups in three dimensions - Examples, Point groups in three dimensions - Fundamental domain

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Units of measurement were among the earliest tools invented by humans. Primitive societies needed rudimentary measures for many tasks: constructing dwellings of an appropriate size and shape, fashioning clothing, or bartering food or raw materials. The earliest known uniform systems of weights and measures seem to have all been created sometime in the 4th and 3rd millennia BC among the ancient peoples of Mesopotamia, Egypt and the Indus Valley, and perhaps also Elam in Persia as well. The most astounding of these ancient systems was p ...

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History of measurement, History of measurement - Introduction, History of measurement - History of units, History of measurement - Units of length, History of measurement - Typographical units, History of measurement - Units of mass, History of measurement - Units of time and angle

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During the 1970s Castells played a key role in the development of a Marxist urban sociology. He emphasized the role of social movements in the conflictive transformation of the urban landscape. He introduced the concept of 'collective consumption' (public transport, public housing, etc.) to frame a wide range of social struggles, displaced from the economic to the political field by state intervention. Abandoning the strictures of Marxism in the early 1980s, he began to focus on the role of new technologies in economic restructuring. In 1989 ...

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Manuel Castells, Manuel Castells - Theory, Manuel Castells - Publications, Manuel Castells - On-line resources

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After the French Revolution in 1789, royal parks became open to the public for the first time. Picnicking in the parks became a popular activity amongst the newly enfranchised citizens. Early in the 19th century, a fashionable group of Londoners formed the 'Picnic Society'. Members met in the Pantheon on Oxford Street. Each member was expected to provide a share of the entertainment and of the refreshments with no one particular host. Interest in ...

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Picnic, Picnic - Language, Picnic - Law, Picnic - Related historical events, Picnic - Picnics in the fine arts, Picnic - In literature, Picnic - In film, Picnic - In music, Picnic - Links

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After the French Revolution in 1789, royal parks became open to the public for the first time. Picnicking in the parks became a popular activity amongst the newly enfranchised citizens. Early in the 19th century, a fashionable group of Londoners formed the 'Picnic Society'. Members met in the Pantheon on Oxford Street. Each member was expected to provide a share of the entertainment and of the refreshments with no one particular host. Interest in ...

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Picnic, Picnic - Language, Picnic - Law, Picnic - Related historical events, Picnic - Picnics in the fine arts, Picnic - In literature, Picnic - In film, Picnic - In music

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Today, there are two main types of roller coasters: Steel roller coasters and Wooden roller coasters (also called 'Woodies'). Steel coasters are known for their smooth ride and often convoluted shapes that frequently turn riders upside-down via inversions known as loops, corkscrews, pretzels, and other descriptive names. Wooden coasters are fondly looked at by coaster enthusiasts for their more rough ride and "air-time" produced by negative G-forces when the coaster car reaches the top of some hills along the ride. Much debate can be had regarding which coa ...

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Roller coaster, Roller coaster - Mechanics, Roller coaster - Blocking, Roller coaster - History, Roller coaster - Safety, Roller coaster - Types of roller coasters, Roller coaster - Rider Experience, Roller coaster - Height-specific, Roller coaster - Track Design, Roller coaster - Designers and Manufacturers

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Today, there are two main types of roller coasters: Steel roller coasters and Wooden roller coasters (also called 'Woodies'). Steel coasters are known for their smooth ride and often convoluted shapes that frequently turn riders upside-down via inversions known as loops, corkscrews, pretzels, and other descriptive names. Wooden coasters are fondly looked at by coaster enthusiasts for their more rough ride and "air-time" produced by negative G-forces when the coaster car reaches the top of some hills along the ride. Much debate can be had regarding which coa ...

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Roller coaster, Roller coaster - Mechanics, Roller coaster - Blocking, Roller coaster - History, Roller coaster - Safety, Roller coaster - Types of roller coasters, Roller coaster - Rider Experience, Roller coaster - Height-specific, Roller coaster - Track Design, Roller coaster - Designers and Manufacturers, Roller coaster - Coaster Clubs

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Different systems of units are based on different choices of a set of fundamental units. The most widely used system of units is the International System of Units, or SI. There are seven SI base units. All other SI units can be derived from these base units. For most quantities a unit is absolutely necessary to communicate values of that physical quantity. For example, conveying to someone a particular length without using some sort of unit is impossible, because a length cannot be descr ...

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Units of measurement, Units of measurement - Introduction, Units of measurement - History, Units of measurement - Systems of measurement, Units of measurement - Base and derived units, Units of measurement - Calculations with units, Units of measurement - Units as dimensions, Units of measurement - Guidelines, Units of measurement - Expressing a physical value in terms of another unit

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The definition, agreement and practical use of units of measurement have played a crucial role in human endeavour from early ages up to this day. Disparate systems of measurement used to be very common. Now there is a global standard, the International System (SI) of units, a form of metric system. The SI has been or is in the process of being adopted throughout the world. The United States of America is almost certainly the last to adopt the ...

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Units of measurement, Units of measurement - Introduction, Units of measurement - History, Units of measurement - Systems of measurement, Units of measurement - Base and derived units, Units of measurement - Calculations with units, Units of measurement - Units as dimensions, Units of measurement - Guidelines, Units of measurement - Expressing a physical value in terms of another unit

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General information: Year: 2003 Manufacturer: Ferrari S.p.A. Model: Enzo Ferrari Body type: coupe Base MSRP: $643,330 Dimensions Curb weight: 1364 kg (3009 lb) Weight distribution: 43.9-56.1 Length: 4.702 m (15.4 ft) Height: 1.147 m (3.8 ft) Width: 2.035 m (6.7 ft) Wheelbase: 2.650 m (8.7 ft)See also:

Ferrari Enzo Ferrari, Ferrari Enzo Ferrari - Production, Ferrari Enzo Ferrari - Related developments, Ferrari Enzo Ferrari - Specifications, Ferrari Enzo Ferrari - Owners, Ferrari Enzo Ferrari - In popular culture, Ferrari Enzo Ferrari - External link

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Units of measurement - Units as dimensions. Any value of a physical quantity is expressed as a comparison to a unit of that quantity. For example, the value of a physical quantity Q is written as the product of a unit [Q] and a numerical factor: The multiplication sign is usually left out, just as it is left out between variables in scientific notation of formulas. In formulas the unit [Q] can be treated as if it was a kind of physical ...

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Units of measurement, Units of measurement - Introduction, Units of measurement - History, Units of measurement - Systems of measurement, Units of measurement - Base and derived units, Units of measurement - Calculations with units, Units of measurement - Units as dimensions, Units of measurement - Guidelines, Units of measurement - Expressing a physical value in terms of another unit

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The Tudor house built by William Herbert, 1st Earl of Pembroke in 1551 was to last but eighty years. On the succession of the 4th Earl in 1630, he decided to pull down the southern wing and erect a new complex of staterooms in its place. It is now the second great name associated with Wilton appears: that of Inigo Jones. Before discussing the complicated history of this facade further it is necessary to describe it: The architecture of the south front is in severe Palladian style, described at the time as in the 'Italian Style'; built ...

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Wilton House, Wilton House - William Herbert, Wilton House - Hans Holbein, Wilton House - Inigo Jones, Wilton House - The State Rooms, Wilton House - 19th century and James Wyatt, Wilton House - Secondary rooms, Wilton House - The gardens and grounds, Wilton House - Wilton House 2006, Wilton House - Reference

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0 number - Elementary algebra. Zero (0) is the lowest non-negative integer. The natural number following zero is one and no natural number precedes zero. Zero may or may not be counted as a natural number, depending on the definition of natural numbers. Mathematical operations involving zero were first described by Brahmasphutasiddhanta in the 7th century. In set theory, the number zero is the cardinality of the empty set: if one does not have any apples, then one has zero apples. In fact, in certai ...

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0 number, 0 number - 0 as a number, 0 number - 0 as a numeral, 0 number - History, 0 number - Etymology, 0 number - Babylonians and Greeks, 0 number - First use of the number, 0 number - Zero as a decimal digit, 0 number - In mathematics, 0 number - Elementary algebra, 0 number - Extended use of zero in mathematics, 0 number - In physics, 0 number - In computer science, 0 number - Numbering from 1 or 0?, 0 number - Null value, 0 number - Null pointer, 0 number - Negative zero, 0 number - Distinguishing zero from O, 0 number - In other fields

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Over the field R of real numbers, the orthogonal group O(n,R) and the special orthogonal group SO(n,R) are often simply denoted by O(n) and SO(n) if no confusion is possible. They form real compact Lie groups of dimension n(n-1)/2. O(n,R) has two connected components, with SO(n,R) being the identity component, i.e., the connected component containing the identity matrix. The real orthogonal and real special ...

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Orthogonal group, Orthogonal group - Over the real number field, Orthogonal group - 3D isometries which leave the origin fixed, Orthogonal group - Over the complex number field, Orthogonal group - The Dickson invariant, Orthogonal group - Orthogonal groups of characteristic 2, Orthogonal group - The spinor norm, Orthogonal group - Galois cohomology and orthogonal groups

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The oval-shaped zero (appearing like a rugby ball stood on end) and circular letter O together came into use on modern character displays. The zero with a dot in the centre seems to have originated as an option on IBM 3270 controllers (this has the problem that it looks like the Greek letter Theta). The slashed zero, looking identical to the letter O other than the slash, is used in old-style ASCII graphic sets descended from the default typewheel on the venerable ASR-33 Teletype. This format causes problems for c ...

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0 number, 0 number - 0 as a number, 0 number - 0 as a numeral, 0 number - History, 0 number - Etymology, 0 number - Babylonians and Greeks, 0 number - First use of the number, 0 number - Zero as a decimal digit, 0 number - In mathematics, 0 number - Elementary algebra, 0 number - Extended use of zero in mathematics, 0 number - In physics, 0 number - In computer science, 0 number - Numbering from 1 or 0?, 0 number - Null value, 0 number - Null pointer, 0 number - Negative zero, 0 number - Distinguishing zero from O, 0 number - In other fields

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0 is the integer that precedes the positive 1, and all positive integers, and follows -1, and all negative integers. In most (if not all) numerical systems, 0 was identified before the idea of 'negative integers' was accepted. Zero is a number which means nothing, null, void or an absence of value. For example, if the number of one's brothers is zero, then that person has no brothers. If the difference between the number of pieces in two piles is zero, it means the ...

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0 number, 0 number - 0 as a number, 0 number - 0 as a numeral, 0 number - History, 0 number - Etymology, 0 number - Babylonians and Greeks, 0 number - First use of the number, 0 number - Zero as a decimal digit, 0 number - In mathematics, 0 number - Elementary algebra, 0 number - Extended use of zero in mathematics, 0 number - In physics, 0 number - In computer science, 0 number - Numbering from 1 or 0?, 0 number - Null value, 0 number - Null pointer, 0 number - Negative zero, 0 number - Distinguishing zero from O, 0 number - In other fields

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The modern numeral 0 is normally written as a circle or (rounded) rectangle. On the seven-segment displays of calculators, watches, etc., 0 is usually written with six line segments (at right), though on some historical calculator models it was written with four line segments. This variant glyph has not caught on. It is important to distinguish the number zero (as in the "zero brothers" example above) from the numeral or digit zero, used in numeral systems using positional notation. Successive positions of digits ...

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0 number, 0 number - 0 as a number, 0 number - 0 as a numeral, 0 number - History, 0 number - Etymology, 0 number - Babylonians and Greeks, 0 number - First use of the number, 0 number - Zero as a decimal digit, 0 number - In mathematics, 0 number - Elementary algebra, 0 number - Extended use of zero in mathematics, 0 number - In physics, 0 number - In computer science, 0 number - Numbering from 1 or 0?, 0 number - Null value, 0 number - Null pointer, 0 number - Negative zero, 0 number - Distinguishing zero from O, 0 number - In other fields

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Because roller coasters are intended to feel risky, accidents, such as the September 5, 2003 fatality at the seemingly tame Disneyland Big Thunder Mountain Railroad, attract public attention. Statistically, roller coasters are very safe. The U.S. Consumer Product Safety Commission estimates that 134 park guests required hospitalization in 2001 and that fatalities related to amusement rides average two per year. According to a study commissioned by Six Flags, 319 million people visited parks in 2001. The study concluded t ...

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Roller coaster, Roller coaster - Mechanics, Roller coaster - Blocking, Roller coaster - History, Roller coaster - Safety, Roller coaster - Types of roller coasters, Roller coaster - Rider Experience, Roller coaster - Height-specific, Roller coaster - Track Design, Roller coaster - Designers and Manufacturers

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