Sentence examples for measurable transformation from inspiring English sources
Due to Dvurečenskij and Riečan [22], this is possible iff there is a Borel measurable transformation (T: R^{1} to R^{1}) such that bar{tau} bigl z (E bigr) = z bigl(T^{ - 1}(E bigr)quad mbox{for every }E in B bigl(R^{1}bigr).
Using Taylor approximation T (Y μ ) ≈ T + T ′ · (Y μ − μ ) we can write Var μ [ T (Y ) ] ≈ Var μ [ T + T ′ · (Y − μ ) ] = (T ′ 2 · Var μ [ Y − μ ] = (T ′ 2 · v. The goal is to find a real-valued, measurable transformation T such that 1 = Var μ [ T (Y ) ] ≈ (T ′ 2 · v.
Since Ū is z-measurable, by Dvurečenskij and Riečan [14], there exists a Borel-measurable transformation (T: Re to Re) such that bar{U} bigl z (E) bigr) = z bigl(T^{ - 1}(E) bigr)quad mbox{for every }E in B (Re ).
However, these models rely on a large array of input parameters that are often not known or measurable a priori and, as yet, do not demonstrate the ability to model transformations in flow behaviour.
Radiation is, actually, measurable.
Let the goals be measurable.
A map σ from R 1 into R 2 is called a measure preserving transformation if for each Σ 2 -measurable subset A from R 2, the set σ − 1 ( A ) = { t ∈ R 1 : σ ( t ) ∈ A } is a Σ 1 -measurable subset of R 1 and μ 1 ( σ − 1 ( A ) ) = μ 2 ( A ) (see [15]).
Change management capability is a key differentiator of readiness for driving measurable value in digital transformation.
The same is true with each transformation of measurable characteristics into the chosen indicator value range.
Topics represented by a significant number of papers are: set theory (including measurable cardinals and abstract measures), topology, transformation theory, ergodic theory, group theory, projective algebra, number theory, combinatorics, and graph theory.
