**characteristic vector** — noun : eigenvector herein * * * Math. a vector for which there exists a scalar such that the value of the vector under a given transformation is equal to the scalar times the vector. Also called eigenvector. [1955 60] … Useful english dictionary

**characteristic vector** — noun Date: 1957 eigenvector … New Collegiate Dictionary

**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 … Wikipedia

**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 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 root** — 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 equation of a given matrix. Also … Universalium

**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… … Useful english dictionary

**Vector space** — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… … Wikipedia

**Vector bundle** — The Möbius strip is a line bundle over the 1 sphere S1. Locally around every point in S1, it looks like U × R, but the total bundle is different from S1 × R (which is a cylinder instead). In mathematics, a vector bundle is a… … Wikipedia

**Vector (molecular biology)** — In molecular biology, a vector is any vehicle used to transfer foreign genetic material into another cell. The vector itself is generally a DNA sequence that consists of an insert (transgene) and a larger sequence that serves as the backbone of… … Wikipedia