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discontinuously

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Possible Dictionary Clues
In a discontinuous manner not continuously.
b : lacking sequence or coherence. : having one or more mathematical discontinuities used of a variable or a function. discontinuously adverb. See bdiscontinuous definedb for English-language learners.

Discontinuously might refer to
Continuous functions are of utmost importance in mathematics, functions and applications. However, not all functions are continuous. If a function is not continuous at a point in its domain, one says that it has a discontinuity there. The set of all points of discontinuity of a function may be a discrete set, a dense set, or even the entire domain of the function. This article describes the Classification of discontinuities in the simplest case of functions of a single real variable taking real values. * The oscillation of a function at a point quantifies these discontinuities as follows:* in a removable discontinuity, the distance that the value of the function is off by is the oscillation; * in a jump discontinuity, the size of the jump is the oscillation (assuming that the value at the point lies between these limits from the two sides); * in an essential discontinuity, oscillation measures the failure of a limit to exist.A special case is if the function diverges to infinity or minus infinity, in which case the oscillation is not defined (in the extended real numbers, this is a removable discontinuity).

Discontinuously might refer to

Continuous functions are of utmost importance in mathematics, functions and applications. However, not all functions are continuous. If a function is not continuous at a point in its domain, one says that it has a discontinuity there. The set of all points of discontinuity of a function may be a discrete set, a dense set, or even the entire domain of the function. This article describes the Classification of discontinuities in the simplest case of functions of a single real variable taking real values.
* The oscillation of a function at a point quantifies these discontinuities as follows:* in a removable discontinuity, the distance that the value of the function is off by is the oscillation;
* in a jump discontinuity, the size of the jump is the oscillation (assuming that the value at the point lies between these limits from the two sides);
* in an essential discontinuity, oscillation measures the failure of a limit to exist.A special case is if the function diverges to infinity or minus infinity, in which case the oscillation is not defined (in the extended real numbers, this is a removable discontinuity).

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