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A function is called rd-continuous provided it is continuous at all right dense points of and its left sided limit exists (finite) at left dense.
A function is left dense continuous ( -continuous) provided that it is continuous at all left dense points of, and its right side limits exists (being finite) at right dense points of.
On a developed photographic emulsion, in which strongly ionizing particles have left dense tracks, delta rays appear as thin wavy spurs or branches.
Since is not simultaneously left dense and right scattered, it is left scattered and right scattered, left dense and right dense, or left scattered and right dense.
Also, if and then is called right dense, and if and then is called left dense.
(H2 One has that is left dense continuous ( -continuous), and there exists a such that.
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The set of left-dense continuous functions will be denoted by.
A function is said to be rd-continuous if it is continuous at right-dense points in and its left-sided limits exist (finite) at left-dense points in The set of rd-continuous functions will be denoted by.
If and the point is right-dense; if and then is left-dense.
The point (x_) is right-dense and the point (x^) is left-dense.
Points that are right-dense and left-dense at the same time are called dense.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com