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The spectrum of incandescent solids is said to be continuous because all wavelengths are present.
A function is said to be continuous on an interval, or subset of its domain, if and only if it is continuous at each point of the interval.
is said to be continuous on if (2.11).
A map is said to be continuous at if any sequence with implies. is said to be continuous on if is continuous at every point of.
(iv) A mapping is said to be continuous at, if for every, there exists such that. .
A mapping is said to be continuous at, if for every, there exists such that.
A random mapping is said to be continuous, if for a.e., the mapping is continuous.
If is continuous at each, then is said to be continuous on (see [8]).
If f is continuous at each x ∈ X, then f is said to be continuous on X. Definition 2.6 [5].
A matrix function is said to be continuous, nondecreasing, integrable, etc., if each of its components is.
(4 A self mapping is said to be continuous at a point, if implies that for every in.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com