characteristic root

characteristic root
noun Date: circa 1957 eigenvalue

New Collegiate Dictionary. 2001.

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  • 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

  • characteristic root of a square matrix — noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant • Syn: ↑eigenvalue, ↑eigenvalue of a matrix, ↑eigenvalue of a square matrix • Hypernyms: ↑value …   Useful english dictionary

  • Root Force — is a biocentric, decentralized, international direct action campaign devoted to [dismantling] the system that is killing and enslaving [the] planet and its people. [ Root Force Mission Statement, http://rootforce.org/?q=node/1] The campaign seeks …   Wikipedia

  • Characteristic equation (calculus) — In mathematics, the characteristic equation (or auxiliary equation[1]) is an algebraic equation of degree on which depends the solutions of a given th order differential equation.[2] The characteristic equation can only be formed when the… …   Wikipedia

  • Root locus — In control theory, the root locus is the locus of the poles and zeros of a transfer function as the system gain K is varied on some interval. The root locus is a useful tool for analyzing single input single output (SISO) linear dynamic systems.… …   Wikipedia

  • root — {{11}}root (n.) underground part of a plant, late O.E. rot, from O.N. rot root, from P.Gmc. *wrot, *vrot (with characteristic loss of w before r ), from PIE *wrd . The Old English cognate was wyrt root, herb, plant (see WORT (Cf. wort)); also… …   Etymology dictionary

  • Root mean square deviation (bioinformatics) — The root mean square deviation (RMSD) is the measure of the average distance between the backbones of superimposed proteins. In the study of globular protein conformations, one customarily measures the similarity in three dimensional structure by …   Wikipedia

  • root knot — noun : a disease of many kinds of wild or cultivated plants caused by eelworms that produce characteristic enlargements on the roots and stunt the growth of the plant called also root gall; compare root knot nematode * * * Plant. Pathol. a… …   Useful english dictionary

  • characteristic — Index In dex, n.; pl. E. {Indexes}, L. {Indices}(?). [L.: cf. F. index. See {Indicate}, {Diction}.] [1913 Webster] 1. That which points out; that which shows, indicates, manifests, or discloses; as, the increasing unemployment rate is an index of …   The Collaborative International Dictionary of English

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