complex plane

  • 101Polar coordinate system — Points in the polar coordinate system with pole O and polar axis L. In green, the point with radial coordinate 3 and angular coordinate 60 …

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  • 102Nyquist stability criterion — The Nyquist plot for . When designing a feedback control system, it is generally necessary to determine whether the closed loop system will be stable. An example of a destabilizing feedback control system would be a car steering system that… …

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  • 103Polygon — For other uses, see Polygon (disambiguation). Some polygons of different kinds In geometry a polygon (   …

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  • 104Inverse trigonometric functions — Trigonometry History Usage Functions Generalized Inverse functions Further reading …

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  • 105Mittag-Leffler star — Illustration of the Mittag Leffler star (the region bounded by the blue contour). The original disk U is centered at a. In complex analysis, a branch of mathematics, the Mittag Leffler star of a complex analytic function is a set in the… …

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  • 106Analytic function — This article is about both real and complex analytic functions. The article holomorphic function is solely about analytic functions in complex analysis. An analytic signal is a signal with no negative frequency components. In mathematics, an… …

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  • 107Hardy space — In complex analysis, the Hardy spaces (or Hardy classes) Hp are certain spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923), who named them after G. H. Hardy, because of the… …

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  • 108Methods of contour integration — Not to be confused with Line integral. In the mathematical field of complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane.[1][2][3] Contour integration is closely related to the… …

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  • 109Conformal map — For other uses, see Conformal (disambiguation). A rectangular grid (top) and its image under a conformal map f (bottom). It is seen that f maps pairs of lines intersecting at 90° to pairs of curves still intersecting at 90°. In mathematics, a… …

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  • 110Inversive geometry — Not to be confused with Inversive ring geometry. In geometry, inversive geometry is the study of those properties of figures that are preserved by a generalization of a type of transformation of the Euclidean plane, called inversion. These… …

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