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The study of harmonic functions (also called

**potential**functions).The term used in physics and engineering for a harmonic function.

**Potential**functions are extremely useful, for example, in electromagnetism, where they reduce the study of a ...A conservative vector field (for which the curl del xF=0) may be assigned a scalar

**potential**where int_CF·ds is a line integral.A function A such that B=del xA. The most common use of a vector

**potential**is the representation of a magnetic field. If a vector field has zero divergence, it may be ...The parameter r (sometimes also denoted mu) in the logistic equation x_(n+1)=rx_n(1-x_n).

The Kähler

**potential**is a real-valued function f on a Kähler manifold for which the Kähler form omega can be written as omega=ipartialpartial^_f. Here, the operators ...Maxwell's equations are the system of partial differential equations describing classical electromagnetism and therefore of central importance in physics. In the so-called ...

Any real function u(x,y) with continuous second partial derivatives which satisfies Laplace's equation, del ^2u(x,y)=0, (1) is called a harmonic function. Harmonic functions ...

In simple algebra, multiplication is the process of calculating the result when a number a is taken b times. The result of a multiplication is called the product of a and b, ...

The Hénon-Heiles equation is a nonlinear nonintegrable Hamiltonian system with x^.. = -(partialV)/(partialx) (1) y^.. = -(partialV)/(partialy), (2) where the

**potential**energy ......