zones of discontinuity - traducción al árabe
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zones of discontinuity - traducción al árabe

POINT AT WHICH A FUNCTION IS NOT CONTINUOUS
Discontinuous; Removable discontinuity; Essential discontinuity; Types of discontinuity; Jump discontinuity; Discontinuity of the first kind; Discontinuity of the second kind; Discontinuity (mathematics); Jump point; Step discontinuity; Discontinuously; Infinite discontinuity; Jump discontinuities; Jump (mathematics)
  • The function in example 3, an essential discontinuity
  • The function in example 2, a jump discontinuity
  • The function in example 1, a removable discontinuity

zones of discontinuity      
‎ مَناطِقُ التَّفاصُل‎
discontinuous         
‎ غَيرُ مُسْتَمِرّ‎
Discontinuous         
غير مستمر، متقطع

Definición

discontinuous
A process that is discontinuous happens in stages with intervals between them, rather than continuously.
= intermittent
ADJ

Wikipedia

Classification of discontinuities

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.

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 of the two sides);
  • in an essential discontinuity, oscillation measures the failure of a limit to exist; the limit is constant.

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).