Your English writing platform
Discover LudwigSimilar(60)
Given u a measurable function we consider the k-truncation of u defined by T_{k} u)= textstylebegin{cases} u, & |u| leq k, kfrac{u}{|u|}, & |u|>k.
Let E be a Lebesgue-measurable set with (m(E) < infty) and (X = L^{infty}(E)) denote the class of essentially bounded measurable functions on E. Consider the Hilbert space (L^{2}(E)).
Lebesgue measure, measurable functions, integrability, completeness of L-p spaces.
Next, as an application, we consider some geometric properties of φ-means of a real-valued measurable function f on Ω.
To see this, let be an arbitrary measurable function.
Given the values of a measurable function m:Rd→R at n arbitrarily chosen points in Rd the problem of estimating m on whole Rd is considered.
We consider non-local elliptic operators with kernel K y)="a y)/|y|d+σ, where 0<σ<2 is a constant and a is a bounded measurable function.
Similar statements can be made about a measurable function in $\mathbb R^n$.
where is a measurable function.
A function is called N- measurable on if for every measurable function the function is measurable.
(b) defines a measurable function from into.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com