calculus), a multiple integral is a definite integral of a function of several real variables, for instance, f(x, y) or f(x, y, z). Integrals of a function...

calculus), a volume integral (∭) is an integral over a 3-dimensional domain; that is, it is a special case of multiple integrals. Volume integrals are especially...

In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process...

Integral theory as developed by Ken Wilber is a synthetic metatheory aiming to unify a broad spectrum of Western theories and models and Eastern meditative...

calculus, a surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analogue of the...

An integral, or intrinsic, membrane protein (IMP) is a type of membrane protein that is permanently attached to the biological membrane. All transmembrane...

The path integral formulation is a description in quantum mechanics that generalizes the stationary action principle of classical mechanics. It replaces...

antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a continuous function f is a differentiable function F whose...

zero-frequency intercept of the phase-frequency characteristic is not 0 or an integral multiple of 2π radians. Grossly changed phase relationships, without changing...

In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that...

mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear...

the Leibniz integral rule for differentiation under the integral sign, named after Gottfried Wilhelm Leibniz, states that for an integral of the form...

Common integrals in quantum field theory are all variations and generalizations of Gaussian integrals to the complex plane and to multiple dimensions...

improper integral is an extension of the notion of a definite integral to cases that violate the usual assumptions for that kind of integral. In the context...

Integration is the basic operation in integral calculus. While differentiation has straightforward rules by which the derivative of a complicated function...

infinitesimals", it has two major branches, differential calculus and integral calculus. The former concerns instantaneous rates of change, and the slopes...

encode, the input data is right-padded with zero bits to form an integral multiple of six bits. After encoding the non-padded data, if two octets of...

The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function f ( x ) = e − x 2 {\displaystyle f(x)=e^{-x^{2}}}...

analysis, integral equations are equations in which an unknown function appears under an integral sign. In mathematical notation, integral equations may...

In mathematics, an integral transform is a type of transform that maps a function from its original function space into another function space via integration...

The INTErnational Gamma-Ray Astrophysics Laboratory (INTEGRAL) is a retired space telescope for observing gamma rays of energies up to 8 MeV. It was launched...

which has an integral multiple which is algebraic. Rosenschon & Srinivas (2016) have shown that in order to obtain a correct integral Hodge conjecture, one...

several integrals known as the Dirichlet integral, after the German mathematician Peter Gustav Lejeune Dirichlet, one of which is the improper integral of...

and the known variation of some atomic weights to values far from integral multiples of hydrogen, was explained between 1913 and 1932 by the discovery...

The other characters have derivatives whose magnitudes are positive integral multiples of 2π. As a result, the constant π is the unique number such that...

transforms iterated integrals (or multiple integrals through the use of Fubini's theorem) of functions into other, hopefully simpler, integrals by changing the...

as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an interval. It...

The Integral is a diesel multiple unit (DMU) train type operated by Regiobahn GmbH on commuter services in North Rhine-Westphalia. Between 1998 and 2020...

other architectures, instructions have variable length, typically integral multiples of a byte or a halfword. Some, such as the ARM with Thumb-extension...

particles with spin quanta S1 and S2. (Each such quantum is some integral multiple of ⁠1/2⁠.) Then: H = − μ 0 γ 1 γ 2 ℏ 2 4 π | r | 3 [ 3 ( S 1 ⋅ r ^...