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Was (wer) ist continuous simulation - definition
Continuous simulation
Continuous Simulation refers to simulation approaches where a system is modeled with the help of variables that change continuously according to a set of differential equations.Continuous Simulation description from University of Utrecht Definition of Simulation with reference to "continuous simulation" at Encyclopedia.
Continuous function
![The graph of a [[cubic function]] has no jumps or holes. The function is continuous.](https://commons.wikimedia.org/wiki/Special:FilePath/Brent method example.svg?width=200 "The graph of a [[cubic function]] has no jumps or holes. The function is continuous.")
![section 2.1.3]]).](https://commons.wikimedia.org/wiki/Special:FilePath/Discontinuity of the sign function at 0.svg?width=200 "section 2.1.3]]).")
![Riemann sphere]] is often used as a model to study functions like the example.](https://commons.wikimedia.org/wiki/Special:FilePath/Function-1 x.svg?width=200 "Riemann sphere]] is often used as a model to study functions like the example.")
![The graph of a continuous [[rational function]]. The function is not defined for <math>x = -2.</math> The vertical and horizontal lines are [[asymptote]]s.](https://commons.wikimedia.org/wiki/Special:FilePath/Homografia.svg?width=200 "The graph of a continuous [[rational function]]. The function is not defined for <math>x = -2.</math> The vertical and horizontal lines are [[asymptote]]s.")
![oscillation]].](https://commons.wikimedia.org/wiki/Special:FilePath/Rapid Oscillation.svg?width=200 "oscillation]].")
.svg?width=200 "Point plot of Thomae's function on the interval (0,1). The topmost point in the middle shows f(1/2) = 1/2.")
FUNCTION SUCH THAT THE PREIMAGE OF AN OPEN SET IS OPEN
Continuity property; Continuous map; Continuous function (topology); Continuous (topology); Continuous mapping; Continuous functions; Continuous maps; Discontinuity set; Noncontinuous function; Discontinuous function; Continuity (topology); Continuous map (topology); Sequential continuity; Stepping Stone Theorem; Continuous binary relation; Continuous relation; Topological continuity; Right-continuous; Right continuous; Left continuous; Left-continuous; C^1; Continuous fctn; Cts fctn; E-d definition; Continuous variation; Continuity space; Continuous space; Real-valued continuous functions; Left-continuous function; Right-continuous function; Left- or right-continuous function; Continuity at a point; Continuous at a point; Continuous extension
In mathematics, a continuous function is a function such that a continuous variation (that is a change without jump) of the argument induces a continuous variation of the value of the function. This means that there are no abrupt changes in value, known as discontinuities.
continuous function
FUNCTION SUCH THAT THE PREIMAGE OF AN OPEN SET IS OPEN
Continuity property; Continuous map; Continuous function (topology); Continuous (topology); Continuous mapping; Continuous functions; Continuous maps; Discontinuity set; Noncontinuous function; Discontinuous function; Continuity (topology); Continuous map (topology); Sequential continuity; Stepping Stone Theorem; Continuous binary relation; Continuous relation; Topological continuity; Right-continuous; Right continuous; Left continuous; Left-continuous; C^1; Continuous fctn; Cts fctn; E-d definition; Continuous variation; Continuity space; Continuous space; Real-valued continuous functions; Left-continuous function; Right-continuous function; Left- or right-continuous function; Continuity at a point; Continuous at a point; Continuous extension
A function f : D -> E, where D and E are cpos, is continuous
if it is monotonic and
f (lub Z) = lub f z | z in Z
for all directed sets Z in D. In other words, the image of
the lub is the lub of any directed image.
All additive functions (functions which preserve all lubs)
are continuous. A continuous function has a {least fixed
point} if its domain has a least element, bottom (i.e. it
is a cpo or a "pointed cpo" depending on your definition of a
cpo). The least fixed point is
fix f = lub f^n bottom | n = 0..infinity
(1994-11-30)
Beispiele aus Textkorpus für continuous simulation
1. Stapleton–Gray said he could imagine the Defense Department running a continuous simulation of parts of networks "in parallel with the real ones.