# characteristic

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**characteristic mood**— index character (personal quality), disposition (inclination) Burton s Legal Thesaurus. William C. Burton. 2006 …52

**characteristic part**— index epitome Burton s Legal Thesaurus. William C. Burton. 2006 …53

**characteristic quality**— index particularity, spirit Burton s Legal Thesaurus. William C. Burton. 2006 …54

**characteristic way**— index custom Burton s Legal Thesaurus. William C. Burton. 2006 …55

**Characteristic function (probability theory)**— The characteristic function of a uniform U(–1,1) random variable. This function is real valued because it corresponds to a random variable that is symmetric around the origin; however in general case characteristic functions may be complex valued …56

**Characteristic polynomial**— This article is about the characteristic polynomial of a matrix. For the characteristic polynomial of a matroid, see Matroid. For that of a graded poset, see Graded poset. In linear algebra, one associates a polynomial to every square matrix: its …57

**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… …58

**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… …59

**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… …60

**Characteristic set**— The mathematical concept of a characteristic set was discovered in the late forties by J.F. Ritt. Besides Gröbner basis method, it provides an alternative algorithmic way for solving multivariate polynomial equations or differential equations.In… …