An integrator is a device to perform the mathematical operation known as integration, a fundamental operation in calculus. In calculus, the integral of a function is an extension of the concept of a sum. ... Calculus is the name given to a group of systematic methods of calculation, computation, and analysis in mathematics which use a common and specialized algebraic notation. ...

The integration function is often part of engineering, physics, mechanical, chemical and scientific calculations. Engineering is the design, analysis, and/or construction of works for practical purposes. ... Physics (from the Greek, (phúsis), nature and (phusiké), knowledge of nature) is the science concerned with the discovery and understanding of the fundamental laws which govern matter, energy, space, and time. ... This article is about devices that perform tasks. ... A chemical substance is any material substance used in or obtained by a process in chemistry: A chemical compound is a substance consisting of two or more chemical elements that are chemically combined in fixed proportions. ... Part of a scientific laboratory at the University of Cologne. ...

Integrator in signal processing

Electronic devices have been constructed to perform integration (usually with respect to time) of signals. This operation is a form of first-order low-pass filter, which can be performed in the continuous-time (analog) domain or approximated (simulated) in the discrete-time (digital) domain. An integrator will have a low pass filtering effect but when given an offset it will accumulate a value building it until it reaches a limit of the system or overflows. The field of electronics comprises the study and use of systems that operate by controlling the flow of electrons (or other charge carriers) in devices such as thermionic valves (vacuum tubes) and semiconductors. ... A low-pass filter is a filter that passes low frequencies well, but attenuates (or reduces) frequencies higher than the cutoff frequency. ...

See also Integrator at op amp applications. This article illustrates some typical applications of solid-state integrated circuit operational amplifiers. ...

Integrator in molecular dynamics

In molecular dynamics, an integrator is a numerical method for integrating trajectories from forces (and thereby accelerations) that are only calculated at discrete time steps. The most basic and least accurate kind of numerical integration is Euler integration. Verlet integration improves the accuracy of the integration to within fourth-order Taylor series terms, and the Runge-Kutta method which is gaining popularity further improves this accuracy to within fifth-order Taylor series terms. Molecular dynamics (MD) is a form of computer simulation where atoms and molecules are allowed to interact for a period of time under known laws of physics. ... In mathematics and computational science, Euler integration is the most basic kind of numerical integration for calculating trajectories from forces at discrete timesteps. ... Verlet integration is a method for calculating the trajectories of particles in molecular dynamics simulations. ... As the degree of the Taylor series rises, it approaches the correct function. ... In numerical analysis, the Runge-Kutta methods are a family of techniques for the approximation of solutions of ordinary differential equations. ...

See also

• Fractional order integrator
• analog computer
• operational amplifier
• signal processing
• lowpass filter
• planimeter

A fractional order integrator or just simply fractional integrator is an integrator device that calculates the fractional order integral or derivative (usually called a differintegral) of an input. ... A page from the Bombardiers Information File (BIF) that describes the components and controls of the Norden bombsight. ... A 741 operational amplifier in a TO-5 metal can package An operational amplifier, usually referred to as an op-amp for brevity, is a DC-coupled high-gain electronic voltage amplifier with differential inputs and, usually, a single output. ... Signal processing is the processing, amplification and interpretation of signals, and deals with the analysis and manipulation of signals. ... A low-pass filter passes low frequencies fairly well, but attenuates high frequencies. ... A planimeter is a technical drawing instrument used to measure the surface area of an arbitrary two-dimensional shape. ...

External links

• How do We Build an Op-amp RC Integrator?
• Wolfram Integrator