The study of mathematical objects near these features is called monodromy. The movable type of these features are subject to the Painlevé property. An analytic function must take on all complex values except one infinitely often near one type of these features according to the Great Picard Theorem. The degree of the principal part of a Laurent series is used to classify these features, as an infinite amount of negative degree terms means one of these features is (*) essential. When an analytic function is bounded in a punctured neighborhood of one of these points, then it is called removable. The residue theorem helps calculate line integrals of holomorphic functions with these values inside the contour. One example of these points for the function 1 over z is at z equals 0. For 10 points, name these values contrasted with discontinuities for which a function is not defined. ■END■
ANSWER: singularities [or singularity; accept poles; accept essential singularities, accept branch points; reject “discontinuities”]
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