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  2. Classification of discontinuities - Wikipedia

    en.wikipedia.org/wiki/Classification_of...

    The term removable discontinuity is sometimes broadened to include a removable singularity, in which the limits in both directions exist and are equal, while the function is undefined at the point . [a] This use is an abuse of terminology because continuity and discontinuity of a function are concepts defined only for points in the function's ...

  3. Removable singularity - Wikipedia

    en.wikipedia.org/wiki/Removable_singularity

    A graph of a parabola with a removable singularity at x = 2 In complex analysis , a removable singularity of a holomorphic function is a point at which the function is undefined , but it is possible to redefine the function at that point in such a way that the resulting function is regular in a neighbourhood of that point.

  4. Singularity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Singularity_(mathematics)

    An infinite discontinuity is the special case when either the left hand or right hand limit does not exist, specifically because it is infinite, and the other limit is either also infinite, or is some well defined finite number. In other words, the function has an infinite discontinuity when its graph has a vertical asymptote.

  5. Continuous function - Wikipedia

    en.wikipedia.org/wiki/Continuous_function

    the sinc-function becomes a continuous function on all real numbers. The term removable singularity is used in such cases when (re)defining values of a function to coincide with the appropriate limits make a function continuous at specific points. A more involved construction of continuous functions is the function composition.

  6. Removable discontinuity - Wikipedia

    en.wikipedia.org/?title=Removable_discontinuity&...

    This page was last edited on 10 January 2015, at 10:07 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike License 4.0; additional terms may apply.

  7. Bounded variation - Wikipedia

    en.wikipedia.org/wiki/Bounded_variation

    SBV functions i.e. Special functions of Bounded Variation were introduced by Luigi Ambrosio and Ennio De Giorgi in the paper (Ambrosio & De Giorgi 1988), dealing with free discontinuity variational problems: given an open subset of , the space ⁡ is a proper linear subspace of ⁡ (), since the weak gradient of each function belonging to it ...

  8. Ladd McConkey injury update: Latest on Chargers WR's ... - AOL

    www.aol.com/ladd-mcconkey-injury-latest-chargers...

    This article originally appeared on USA TODAY: Ladd McConkey injury update: Chargers WR out Sunday night vs. Chiefs. Show comments. Advertisement. Advertisement. Holiday Shopping Guides.

  9. L'Hôpital's rule - Wikipedia

    en.wikipedia.org/wiki/L'Hôpital's_rule

    A simple but very useful consequence of L'Hopital's rule is that the derivative of a function cannot have a removable discontinuity. That is, suppose that f is continuous at a , and that f ′ ( x ) {\displaystyle f'(x)} exists for all x in some open interval containing a , except perhaps for x = a {\displaystyle x=a} .