منابع مشابه
Five Definitions of Critical Point at Infinity
This survey paper discusses five equivalent ways of defining a “critical point at infinity” for a complex polynomial of two variables.
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We prove a general maximum principle at infinity for properly immersed minimal surfaces with boundary in R. An important corollary of this maximum principle at infinity is the existence of a fixed sized regular neighborhood for any properly embedded minimal surface of bounded curvature.
متن کاملSingularity Exchange at Infinity
In families of polynomial functions one may encounter “singularity exchange at infinity” when singular points escape from the space and produce “virtual” singularities of the limit polynomial, which have themselves an influence on the topology. The total quantity of singularity involved in this phenomenon may not be conserved. Inspite of the fact that some of the ingredients do not behave well ...
متن کاملUnfolding Polynomial Maps at Infinity
Let f : Cn → C be a polynomial map. The polynomial describes a family of complex affine hypersurfaces f−1(c), c ∈ C. The family is locally trivial, so the hypersurfaces have constant topology, except at finitely many irregular fibers f−1(c) whose topology may differ from the generic or regular fiber of f . We would like to give a full description of the topology of this family in terms of easil...
متن کاملA method to standardize a reference of scalp EEG recordings to a point at infinity.
The effect of an active reference in EEG recording is one of the oldest technical problems in EEG practice. In this paper, a method is proposed to approximately standardize the reference of scalp EEG recordings to a point at infinity. This method is based on the fact that the use of scalp potentials to determine the neural electrical activities or their equivalent sources does not depend on the...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1988
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700027647