calculus of tensors
51Complex lamellar vector field — In vector calculus, a complex lamellar vector field is a vector field in three dimensions which is orthogonal to its own curl. That is, Complex lamellar vector fields are precisely those that are normal to a family of surfaces. A special case are …
52Karl Wohlhart — (* 1928 in Aschach an der Steyr[1]) ist ein emeritierter österreichischer Hochschullehrer[2] an der Technischen Universität in Graz. Inhaltsverzeichnis 1 Leben 2 Werke …
53Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… …
54Linear algebra — R3 is a vector (linear) space, and lines and planes passing through the origin are vector subspaces in R3. Subspaces are a common object of study in linear algebra. Linear algebra is a branch of mathematics that studies vector spaces, also called …
55Vorticity — is a mathematical concept used in fluid dynamics. It can be related to the amount of circulation or rotation (or more strictly, the local angular rate of rotation) in a fluid.Clancy, L.J., Aerodynamics , Section 7.11] The average vorticity zeta… …
56Lie derivative — In mathematics, the Lie derivative, named after Sophus Lie by Władysław Ślebodziński, evaluates the change of one vector field along the flow of another vector field.The Lie derivative is a derivation on the algebra of tensor fields over a… …
57Nabla symbol — For other uses, see Nabla. ∇ The nabla symbol The harp, the instrument after which the nabla symbol is named Nabla is the symbol (∇) …
58Covariant derivative — In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing and working with a connection on a manifold by means of a… …
59Material derivative — The material derivative[1][2] is a derivative taken along a path moving with velocity v, and is often used in fluid mechanics and classical mechanics. It describes the time rate of change of some quantity (such as heat or momentum) by following… …
60Multipole expansion — A multipole expansion is a mathematical series representing a function that depends on angles usually the two angles on a sphere. These series are useful because they can often be truncated, meaning that only the first few terms need to be… …
