Examples of using Continuous function in English and their translations into Greek
{-}
-
Colloquial
-
Official
-
Medicine
-
Ecclesiastic
-
Financial
-
Official/political
-
Computer
A continuous function and.
Infinite switch with continuous function.
Left column: A continuous function(top) and its Fourier transform(bottom).
France 105 timer with continuous function.
Roughly, a continuous function is differentiable if its graph has no sharp"corners".
F= g- h is also a continuous function.
Conversely, if a continuous function satisfies for all random variables X, then it is necessarily of the form, where a> 0.
It can store charge for as much as 6 months(for continuous function) or more if you let it sleep.
This means that the continuous function of the heart and lungs is kept, similarly to any other non-cardiac surgery.
The most common situation occurs when X is a topological space(such as the real line) andf is a continuous function.
Any uniformly continuous function is continuous. .
Several equivalent definitions for a topological structure exist andthus there are several equivalent ways to define a continuous function.
This is true because any continuous function satisfying the mean value property is harmonic.
From a geometric perspective, a function f is holomorphic at z0 if and only if its exterior derivative df in a neighbourhood U of z0 is equal to f?(z)dz for some continuous function f?
Using these definitions,f becomes a continuous function from the Riemann sphere to itself.
If f is a continuous function, meaning that its graph is an unbroken curve with no gaps, then Q is a continuous function away from h= 0.
Since fX is closed,by Urysohn's Lemma there is a continuous function g1:Y→ such that g1 is 0 on fX and 1 on y.
For instance, any continuous function defined on a compact space into an ordered set( with the order topology) such as the real line is bounded.
This would have deserved special emphasis because of Euler's definition of a continuous function as one given by single expression-or law.
For example, every convex continuous function on the unit ball B of a reflexive space attains its minimum at some point in B.
One of the main results of Roth's 1938 thesis was an example of a compact set on which not every continuous function can by approximated uniformly by rational functions. .
The sum of this series is a continuous function, equal to f{\displaystyle f}, since the Fourier series converges in the mean to f{\displaystyle f}.
There is, however, a generalization of the Taylor series that does converge to the value of the function itself for any bounded continuous function on(0,∞), using the calculus of finite differences.
By the extreme value theorem, a continuous function on a closed interval must attain its minimum and maximum values at least once.
Most often, the unqualified term Fourier transform refers to the transform of functions of a continuous real argument, and it produces a continuous function of frequency, known as a frequency distribution.
In 1870, Eduard Heine showed that a continuous function defined on a closed and bounded interval was in fact uniformly continuous. .
For a continuous function y= f(x) whose graph is plotted as a curve, each value of x has a corresponding area function A(x), representing the area beneath the curve between 0 and x.
Spline interpolation, however, yield a piecewise continuous function composed of many polynomials to model the data set.
Note that not every continuous function on the boundary can be used to produce a function inside the boundary that fits the given boundary function. .
In the mathematical field of topology, a homeomorphism or topological isomorphism orbicontinuous function is a continuous function between topological spaces that has a continuous inverse function.