the second-order partial differential equation indicating that the Laplace operator operating on a given function results in zero.
Compare (def 4c).
- Laplace operator
noun 1. (maths) the operator ∂²/∂x² + ∂²/∂y² + ∂²/∂z² ∇² Also called Laplacian (ləˈpleɪʃɪən)
noun, Mathematics. 1. a map of a function, as a signal, defined especially for positive real values, as time greater than zero, into another domain where the function is represented as a sum of exponentials.
[lap-land] /ˈlæpˌlænd/ noun 1. a region in N Norway, N Sweden, N Finland, and the Kola Peninsula of the NW Russian Federation in Europe: inhabited by Lapps. /ˈlæpˌlænd/ noun 1. an extensive region of N Europe, mainly within the Arctic Circle: consists of the N parts of Norway, Sweden, Finland, and the Kola Peninsula of […]
[lap] /læp/ noun 1. Also called Laplander [lap-lan-der, -luh n-] /ˈlæpˌlæn dər, -lən-/ (Show IPA). a member of a Finnic people of northern Norway, Sweden, Finland, and adjacent regions. 2. Also called Lappish. any of the languages of the Lapps, closely related to Finnish. /ˈlæpˌlændə/ noun 1. a native or inhabitant of Lapland /læp/ noun […]