Phrase Hound found 14 phrases and 7 compound words that contain jacobi. The most common are listed below. Open jacobi in the live search for definitions, filters, and the full list.
Phrases 14
- Jacobi identityGiven a binary operation × defined on a set S which also has additive operation + and additive identity 0, the property that a × (b×c) + b × (c×a) + c × (a×b) = 0 for all a, b, c in S.
- Jacobi symbolA mathematical function of integer a and odd positive integer b, generally written (a/b), based on, for each of the prime factors pᵢ of b, whether a is a quadratic residue or nonresidue modulo pᵢ.
- Jacobi identitiesplural of Jacobi identity: Given a binary operation × defined on a set S which also has additive operation + and additive identity 0, the property that a × (b×c) + b × (c×a) + c × (a×b) = 0 for all a, b, c in S.
- Jacobi polynomialAny member of a certain class of orthogonal polynomials.
- Jacobi polynomialsplural of Jacobi polynomial: Any member of a certain class of orthogonal polynomials.
- Jacobi ellipsoidA triaxial ellipsoid under hydrostatic equilibrium.
- Abel-Jacobi-Liouville identitySynonym of Liouville's formula: An equation, a generalization of Abel's identity, that expresses the determinant of a square-matrix solution of a first-order system of homogeneous linear differential equations in terms of the sum of the …
- Abel-Jacobi mapA construction of algebraic geometry that relates an algebraic curve to its Jacobian variety.
- Hamilton-Jacobi equationA mathematical formulation of classical mechanics in which the motion of a particle can be represented as a wave.
- Hamilton-Jacobi equationsplural of Hamilton-Jacobi equation: A mathematical formulation of classical mechanics in which the motion of a particle can be represented as a wave.
- Hamilton-Jacobi-Bellman equationA nonlinear partial differential equation that provides necessary and sufficient conditions for optimality of a control with respect to a loss function.
- Jacobi symbolsplural of Jacobi symbol: A mathematical function of integer a and odd positive integer b, generally written (a/b), based on, for each of the prime factors pᵢ of b, whether a is a quadratic residue or nonresidue modulo pᵢ.
- Jacobi ellipsoidsplural of Jacobi ellipsoid: A triaxial ellipsoid under hydrostatic equilibrium.
- Hamilton-Jacobi-Bellman equationsplural of Hamilton-Jacobi-Bellman equation: A nonlinear partial differential equation that provides necessary and sufficient conditions for optimality of a control with respect to a loss function.
Compound words 7
- JacobianUsed to specify certain mathematical objects named in honour of C. G. J. Jacobi.
- Jacobitesplural of Jacobite: A supporter of the restoration of the Stuart kings to the thrones of England and Scotland in the late 17th century.
- Jacobiansplural of Jacobian: Used to specify certain mathematical objects named in honour of C. G. J. Jacobi.
- Jacobinesplural of Jacobine: Synonym of Jacobin, especially as a feminine form.
- jacobiniaThe flowering plant Justicia carnea.
- jacobiniasplural of jacobinia: The flowering plant Justicia carnea.
- jacobitasplural of jacobita: Commerson's dolphin