# Characteristic Curve

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## characteristic curve

[‚kar·ik·tə′ris·tik ′kərv]
(graphic arts)
In photography, a graph that shows how increases in exposure increase the density of the film.
(mathematics)
One of a pair of conjugate curves in a surface with the property that the directions of the tangents through any point of the curve are the characteristic directions of the surface.
A curve plotted on graph paper to show the relation between two changing values.
A characteristic curve of a one-parameter family of surfaces is the limit of the curve of intersection of two neighboring surfaces of the family as those surfaces approach coincidence.

## Characteristic Curve

one of the most important indexes of a photographic material. It expresses (for specified exposure and developing conditions) the optical density obtained from photographic darkening of the material as a function of the common logarithm of the exposure that produced the darkening. (SeeSENSITOMETRY.)

## Characteristic curve

A graphical display depicting complex nonlinear relationships in electronic circuits. A typical use is to show voltage-current relationships in semiconductor devices. Device amplification capabilities, for example, are exhibited by a characteristic plot which traces output current versus output voltage with a third controlling variable as a parameter. This control variable could be the base current of a bipolar junction transistor (BJT) or the gate-to-source voltage of a metal-oxide-semiconductor (MOS) transistor.

Other characteristics often included in transistor data sheets are displays of current gain versus bias current, gain versus frequency, and input and output impedances versus frequency. Less commonly, other graphical nonlinear relationships, such as the variation of thermocouple voltage with temperature or the dependence of electrical motor torque with current, also are known as characteristic curves.

In the past, characteristic curves were used as tools in the graphical solution of nonlinear circuit equations that are followed by relationships of this type. In current practice, this analysis is performed using computer packages for circuit simulation. Designers still use characteristic curves from data sheets, however, to evaluate relative performance capabilities when selecting devices, and to provide the information needed for a preliminary pencil-and-paper circuit design. See Amplifier, Transistor

References in periodicals archive ?
Yabe, "Multi-dimensional conservative semi-Lagrangian method of characteristics CIP for the shallow water equations," Journal of Computational Physics, vol.
Hence these cannot be used in the solution given by (46) which was obtained by method of characteristics. Hence (46) is no more considered for comparative study.
In this comparative study, we have obtained analytical solutions for the polarized nonsinglet structure function [g.sup.NS.sub.1](x, t) at NLO, using the two analytical methods: Lagrange's method and method of characteristics. Due to physical constraints these two methods lead us to only two suitable solutions for [g.sup.NS.sub.1](x, t) at NLO, valid for small x.
sub.m]: Abbreviations MOC: The method of characteristic IAHR: International Association For Hydraulic Research HC: Hydrodynamic cavitation.
Method of Characteristics for Prediction of Output Variables
Shoucri presents the application of the method of characteristics for the numerical solution of hyperbolic-type partial differential equations, with particular attention to the Vlasov equation and other equations pertinent to plasma physics.
Method of characteristics and the schemes it derives have been used to solve problems in several areas for its high accuracy and ability to use large time step size.

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