canonical basis

  • 1Canonical basis — In mathematics, the notion of canonical basis refers to a basis of an algebraic structure which is canonical in a sense that depends on the precise context:* In a coordinate space, and more generally in a free module, it refers to the standard… …

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  • 2Canonical — is an adjective derived from . Canon comes from the Greek word kanon , rule (perhaps originally from kanna reed , cognate to cane ), and is used in various meanings. Basic, canonic, canonical : reduced to the simplest and most significant form… …

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  • 3Canonical Admonitions —     Canonical Admonitions     † Catholic Encyclopedia ► Canonical Admonitions     A preliminary means used by the Church towards a suspected person, as a preventive of harm or a remedy of evil. In the Instruction emanating in 1880, by direction… …

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  • 4Canonical Impediments —     Canonical Impediments     † Catholic Encyclopedia ► Canonical Impediments     I. GENERAL NOTION OF AN IMPEDIMENT     The Latin word impedimentum signifies directly whatever embarrasses or hinders a person, whatever is an obstacle to his… …

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  • 5Canonical admonitions — are a preliminary means used by the Roman Catholic Church towards a suspected person, as a preventive of harm or a remedy of evil.HistoryThe 1880 instruction, by direction of Pope Leo XIII, from the Congregation of Bishops and Regulars to the… …

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  • 6Canonical Acts —     Canonical Acts     † Catholic Encyclopedia ► Canonical Acts     According to the old Roman jurisprudence, acts are the registers (acta) in which were recorded the official documents, the decisions and sentences of the judges. Acts designate… …

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  • 7Canonical transformation — In Hamiltonian mechanics, a canonical transformation is a change of canonical coordinates (mathbf{q}, mathbf{p}, t) ightarrow (mathbf{Q}, mathbf{P}, t) that preserves the form of Hamilton s equations, although it might not preserve the… …

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  • 8Canonical bundle — In mathematics, the canonical bundle of a non singular algebraic variety V of dimension n is the line bundle which is the nth exterior power of the cotangent bundle Ω on V. Over the complex numbers, it is the determinant bundle of holomorphic n… …

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  • 9Canonical hours — Benedictine monks singing Vespers on Holy Saturday. Canonical hours are divisions of time which serve as increments between the prescribed prayers of the daily round. A Book of Hours contains such a set of prayers. In western Catholicism,… …

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  • 10Canonical quantization — In physics, canonical quantization is one of many procedures for quantizing a classical theory. Historically, this was the earliest method to be used to build quantum mechanics. When applied to a classical field theory it is also called second… …

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