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characteristic element

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  • Characteristic admittance — is the mathematical inverse of the characteristic impedance. The general expression for the characteristic admittance of a transmission line is: where R is the resistance per unit length, L is the inductance per unit length, G is the conductance… …   Wikipedia

  • element — el·e·ment n: one of the constituent parts (as a particular act, a mental state, or an attendant circumstance) of a crime as defined by statute that the prosecution must prove to win a conviction Merriam Webster’s Dictionary of Law. Merriam… …   Law dictionary

  • Characteristic — Char ac*ter*is tic, n. 1. A distinguishing trait, quality, or property; an element of character; that which characterized. Pope. [1913 Webster] The characteristics of a true critic. Johnson. [1913 Webster] 2. (Math.) The integral part (whether… …   The Collaborative International Dictionary of English

  • Characteristic (algebra) — In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring s multiplicative identity element (1) in a sum to get the additive identity element (0); the ring is said… …   Wikipedia

  • Characteristic subgroup — In mathematics, particularly in the area of abstract algebra known as group theory, a characteristic subgroup is a subgroup that is invariant under all automorphisms of the parent group.[1][2] Because conjugation is an automorphism, every… …   Wikipedia

  • Characteristic class — In mathematics, a characteristic class is a way of associating to each principal bundle on a topological space X a cohomology class of X. The cohomology class measures the extent to which the bundle is twisted particularly, whether it possesses… …   Wikipedia

  • Characteristic impedance — This article is about impedance in electronics. For impedance of electromagnetic waves, see Wave impedance. For characteristic acoustic impedance, see Acoustic impedance. Schematic representation of a circuit where a source is coupled to a load… …   Wikipedia

  • Characteristic function (convex analysis) — In the field of mathematics known as convex analysis, the characteristic function of a set is a convex function that indicates the membership (or non membership) of a given element in that set. It is similar to the usual indicator function, and… …   Wikipedia

  • characteristic — adj. & n. adj. typical, distinctive (with characteristic expertise). n. 1 a characteristic feature or quality. 2 Math. the whole number or integral part of a logarithm. Phrases and idioms: characteristic curve a graph showing the relationship… …   Useful english dictionary

  • characteristic function — Math. 1. a function defined on a given set, having value 1 for every element of the set and value 0 for every element not contained in the set. 2. See characteristic polynomial. [1875 80] * * * …   Universalium

  • characteristic — I. noun Date: 1664 1. a distinguishing trait, quality, or property 2. the integral part of a common logarithm 3. the smallest positive integer n which for an operation in a ring or field yields 0 when any element is used n times with the… …   New Collegiate Dictionary

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