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单词 discriminating circle
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discriminating circle
discriminating circle n. [compare German Grenzkreis, lit. ‘border circle’] Mathematics a circle that separates an area in a plane in which a certain behaviour of a mathematical system occurs from an area where it does not occur.
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1893 A. R. Forsyth Theory Functions Complex Variable vi. §71. 111 To divide the plane of the modified variable ζ into two portions..The boundary..is a circle of finite radius, called the discriminating circle of the function..All the singularities (and the branch-points, if any) lie on the discriminating circle.
1975 Jrnl. Royal Statist. Soc. A. 138 374 A short appendix deals with the case when a, k are complex conjugate, γ ± δ... The discriminating circles are now replaced by rectangular hyperbolae in two real variables.
1997 S. M. Fakhraie & K. C. Smith VLSI-Compatible Implementations for Artific. Neural Networks 51 If z > 0, the input point (i1, i2) is outside the discriminating circle.
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