# characteristic

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**characteristic curve**— noun (electronics) graph showing how a particular characteristic of a device varies with other parameters • Syn: ↑characterisic function • Topics: ↑electronics • Hypernyms: ↑graph, ↑graphical record …92

**characteristic equation**— noun : an equation in which the characteristic polynomial of a matrix is set equal to 0 * * * 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and… …93

**characteristic root**— noun : eigenvalue herein * * * Math. 1. a scalar for which there exists a nonzero vector such that the scalar times the vector equals the value of the vector under a given linear transformation on a vector space. 2. a root of the characteristic… …94

**characteristic actuation probability**— In naval mine warfare, the average probability of a mine of a given type being actuated by one run of the sweep within the characteristic actuation width …95

**characteristic detection probability**— In naval mine warfare, the ratio of the number of mines detected on a single run to the number of mines which could have been detected within the characteristic detection width …96

**characteristic equation**— noun Date: circa 1925 an equation in which the characteristic polynomial of a matrix is set equal to 0 …97

**characteristic equation**— 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and equated to zero, which is derived from a given linear differential equation and in which the… …98

**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] * * * …99

**characteristic polynomial**— noun The determinant, of a matrix minus an indeterminant times the identity matrix The characteristic polynomial of is …100

**characteristic function**— noun A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set. The characteristic function of a set A is often represented as… …