Conservative vector field — In vector calculus a conservative vector field is a vector field which is the gradient of a function, known in this context as a scalar potential. Conservative vector fields have the property that the line integral from one point to another is… … Wikipedia
Lamellar vector field — In vector analysis and in fluid dynamics, a lamellar vector field is a vector field with no rotational component. That is, if the field is denoted as v, then : abla imes mathbf{v} = 0 .A lamellar field is practically synonymous with an… … Wikipedia
Vector calculus — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus Derivative Change of variables Implicit differentiation Taylor s theorem Related rates … Wikipedia
Vector Laplacian — In mathematics and physics, the vector Laplace operator, denoted by scriptstyle abla^2, named after Pierre Simon Laplace, is a differential operator defined over a vector field. The vector Laplacian is similar to the scalar Laplacian. Whereas the … Wikipedia
Vector operator — A vector operator is a type of differential operator used in vector calculus. Vector operators are defined in terms of del, and include the gradient, divergence, and curl:: operatorname{grad} equiv abla : operatorname{div} equiv abla cdot :… … Wikipedia
Vector calculus identities — The following identities are important in vector calculus:ingle operators (summary)This section explicitly lists what some symbols mean for clarity.DivergenceDivergence of a vector fieldFor a vector field mathbf{v} , divergence is generally… … Wikipedia
Vector fields in cylindrical and spherical coordinates — Cylindrical coordinate system = Vector fields Vectors are defined in cylindrical coordinates by (ρ,φ,z), where * ρ is the length of the vector projected onto the X Y plane, * φ is the angle of the projected vector with the positive X axis (0 ≤ φ… … Wikipedia
Earth's magnetic field — Computer simulation of the Earth s field in a normal period between reversals.[1] The tubes represent magnetic field lines, blue when the field points towards the center and yellow when away. The rotation axis of the Earth is centered and… … Wikipedia
Common integrals in quantum field theory — There are common integrals in quantum field theory that appear repeatedly.[1] These integrals are all variations and generalizations of gaussian integrals to the complex plane and to multiple dimensions. Other integrals can be approximated by… … Wikipedia
List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… … Wikipedia
