Examples of using Continuous functions in English and their translations into Greek
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Cyclic/ continuous Functions.
The class C0 consists of all continuous functions.
Continuous Functions in Calculus.
These are continuous functions.
Continuous functions and homeomorphisms.
Where ai(x) and r(x)are continuous functions in x.
Two continuous functions from one topological space to another are called homotopic.
HComp, compact Hausdorff spaces and continuous functions.
For all continuous functions f.
For example, the class C0 consists of all continuous functions.
In topology, where the morphisms are continuous functions, isomorphisms are also called homeomorphisms or bicontinuous functions. .
There is nothing specific about domains and continuous functions here.
Also,"monsters"(nowhere continuous functions, continuous but nowhere differentiable functions, space-filling curves) began to be created.
Let C(σ(T)) denote the C*-algebra of continuous functions on σ(T).
This result may fail for continuous functions F that admit a derivative f(x) at almost every point x, as the example of the Cantor function shows.
Let Cc be the space of all real-valued compactly supported continuous functions of ℝ.
This means that hardly do any random continuous functions have a derivative at even one point.
For any algebraic objects we can introduce the discrete topology,under which the algebraic operations are continuous functions.
The collection of all absolutely continuous functions on I is denoted AC(L).
In 1931, Stefan Banach proved that the set of functions that have a derivative at some point is a meager set in the space of all continuous functions.
Consider the Banach space of continuous functions with the supremum norm.
This fact may be used to prove minimization results for continuous convex functionals,in the same way that the Bolzano-Weierstrass theorem is used for continuous functions on ℝd.
Th Solving 7-th degree equations using continuous functions of two parameters.
The idea is to embed the continuous functions in a larger space called the space of distributions and only require that a function is differentiable"on average".
Programs are then denoted by natural continuous functions between these functors.
In the category of Hausdorff spaces, Haus,the epimorphisms are precisely the continuous functions with dense images.
Questions on the concepts of continuity and continuous functions in calculus are presented along with their answers.
If V is some topological space, for example a subset of some Rn,real- or complex-valued continuous functions on V form a commutative ring.
Suppose its marginals are continuous, i.e. the marginal CDFs are continuous functions. By applying the probability integral transform to each component, the random vector.
He also proved the Bolzano- Weierstrass theorem andused it to study the properties of continuous functions on closed and bounded intervals.