Divergence is a vector operator that produces a scalar field, giving the quantity of a vector field's source at each point. More technically, the divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume
around a given point.
Division is one of the four basic operations of arithmetic, the others being addition, subtraction, and multiplication. The division of two natural numbers is the process of calculating the number of times one number is contained within another one.
The set of values of the independent variable(s) for which a function or relation is defined. Typically, this is the set of x-values that give rise to real y-values
The portion of the drag force that is due to the inertia of the fluid — the resistance that it has to being pushed aside — is called the pressure drag (or form drag, or profile drag). This is usually what someone is referring to when they talk about drag.
Eigenvalues and eigenvectors. Geometrically, an eigenvector, corresponding to a real non-zero eigenvalue, points in a direction that is stretched by the transformation and the eigenvalue is the factor by which it is
stretched. If the eigenvalue is negative, the direction is reversed.
The set of all eigenvectors of a linear transformation, each paired with its corresponding eigenvalue, is called the eigensystem of that transformation. The set of all eigenvectors of T corresponding to the
same eigenvalue, together with the zero vector, is called an eigenspace or characteristic space of T.
In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. As such, it is a generalization of a circle, which is a special type of an ellipse having both focal points at the same location.
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements / its size or cardinality is zero. Some axiomatic set theories ensure that the empty set exists by including an axiom of empty set / in other
theories, its existence can be deduced.
The equal sign (=) is a mathematical symbol used to indicate that the expressions on both sides of it are equal. Important to note
is that this symbol may not be used to indicate implicate or consequence.
An equilibrium of a dynamical system is a value of the state variables where the state variables do not change. In other words, an equilibrium is a solution that does not change with time. To determine the values such that x n = E is an equilibrium of the dynamical system.
In applied mathematics, the difference between a true value and an estimate, or approximation, of that value. In statistics, a common example is the difference between the mean of an entire population and the mean of a sample drawn from that
population.
In mathematics, the error function is a special function of sigmoid shape that occurs in probability, statistics, and partial
differential equations describing diffusion.