rank of differential equation
1Linear differential equation — In mathematics, a linear differential equation is a differential equation of the form: Ly = f ,where the differential operator L is a linear operator, y is the unknown function, and the right hand side fnof; is a given function (called the source …
2Order of a differential equation — Order Or der, n. [OE. ordre, F. ordre, fr. L. ordo, ordinis. Cf. {Ordain}, {Ordinal}.] [1913 Webster] 1. Regular arrangement; any methodical or established succession or harmonious relation; method; system; as: (a) Of material things, like the… …
3Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …
4Rank–nullity theorem — In mathematics, the rank–nullity theorem of linear algebra, in its simplest form, states that the rank and the nullity of a matrix add up to the number of columns of the matrix. Specifically, if A is an m by n matrix over the field F , then :rank …
5Frobenius theorem (differential topology) — In mathematics, Frobenius theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first order homogeneous linear partial differential equations. In modern geometric terms …
6Mason–Weaver equation — The Mason–Weaver equation (named after Max Mason and Warren Weaver) describes the sedimentation and diffusion of solutes under a uniform force, usually a gravitational field.[1] Assuming that the gravitational field is aligned in the z direction… …
7Mason-Weaver equation — The Mason Weaver equation describes the sedimentation and diffusion of solutes under a uniform force, usually a gravitational field.cite journal | last = Mason | first = M | coauthors = Weaver W | year = 1924 | title = The Settling of Small… …
8Vector-valued differential form — In mathematics, a vector valued differential form on a manifold M is a differential form on M with values in a vector space V . More generally, it is a differential form with values in some vector bundle E over M . Ordinary differential forms can …
9Theorems and definitions in linear algebra — This article collects the main theorems and definitions in linear algebra. Vector spaces A vector space( or linear space) V over a number field² F consists of a set on which two operations (called addition and scalar multiplication, respectively) …
10Mathematics of general relativity — For a generally accessible and less technical introduction to the topic, see Introduction to mathematics of general relativity. General relativity Introduction Mathematical formulation Resources …
