continuous function
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}
(19941130)
Nearby terms:
Continuation Passing Style « continuation passing
style « continuations « continuous function »
Continuous System Modeling Program » Continuous
System Simulation Language » continuous wave
Continuous System Modeling Program
<simulation> (CSMP) A program for simulation of dynamics of continuous
systems. CSMP is similar to CSSL.
["A Guide to Using CSMP  The Continuous System Modeling Program", Frank H.
Speckhart et al, PH 1976].
(19950223)
Nearby terms:
continuation passing style « continuations «
continuous function « Continuous System Modeling
Program » Continuous System Simulation Language
» continuous wave » contraction
Continuous System Simulation Language
<simulation> (CSSL) Versions include ACSL, HYTRAN, SLI, S/360 and CSMP.
CSSL(Continuous System Simulation Language) versions I, II, III, IV and V have
been commercially available since 1968. CSSLI was developed for Jet Propulsion
Labs in 1968. CSSLIII was widely distributed from 19691975. CSSLIV
(interactive version) was developed by R. Nilsen and ran on over 30 different
computers. Currently CSSLV is marketed by Simulation Services International and
available on PCs and workstations.
["The SCi Continuous System Simulation Language (CSSL)", Simulation, 9(6), Dec
1967].
[URL?]
(20030415)
Nearby terms:
continuations « continuous function « Continuous
System Modeling Program « Continuous System
Simulation Language
» continuous wave » contraction » contract
programmer
continuous wave
<communications> (CW) A term from early radio history, when the spark gap
method of transmission was replaced by vacuumtube oscillators. A spark gap
initiates a ringing, damped sinusoidal wave in a tuned circuit consisting of an
inductor and capacitor. The energy in this circuit is constantly changing
between the capacitor's electrostatic field and the inductor's magnetic field.
The energy is then coupled, loosely (so as not to dampen the wave too quickly),
to the radiating antenna.
In contrast, a vacuumtube oscillator constantly adds energy to the tuned
circuit, compensating for the amount coupled to the antenna, and the transmitted
energy or "wave," is therefore "continuous".
Many (especially radio amateurs) continue to understand "CW" to mean
transmission by means a signal of a single frequency which is either on or off
(e.g. Morse code), as opposed to a carrier which varies continuously in
amplitude, frequency or phase. Some would even call the former "unmodulated"
even though turning on and off is actually an extreme form of amplitude
modulation.
(19950315)
Nearby terms:
continuous function « Continuous System Modeling
Program « Continuous System Simulation Language «
continuous wave
» contraction » contract programmer » control
