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The Alexandroff extension can be viewed as a functor from the category of topological spaces with proper continuous maps as morphisms to the category whose objects are continuous maps : and for which the morphisms from : to : are pairs of continuous maps :, : such that =. In particular, homeomorphic spaces have isomorphic Alexandroff extensions.
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.
Then the extension of to the complex plane equals the ℘-function. [4] This invertibility is used in complex analysis to provide a solution to certain nonlinear differential equations satisfying the Painlevé property , i.e., those equations that admit poles as their only movable singularities .
The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeros and allowed poles.
But consumer advocates say the Food and Drug Administration's new guidance on lead limit in baby food doesn't go far enough.
Aubrey Plaza’s husband, director Jeff Baena, has died. He was 47. The Los Angeles County Medical Examiner confirmed his death and that he died by suicide at his home on Jan. 3, according to ...
Nicotine Replacement Therapy. Among your NRT options are nicotine pouches and patches. Pouches directly supply low doses of nicotine through oral absorption.
In mathematics, a Dirichlet-series is a function of the form (,) = = ().where is a Dirichlet character and a complex variable with real part greater than .It is a special case of a Dirichlet series.