Singular points

Singular points

Singular points occur in various different situations in geometry
*Singular point of an algebraic variety
*Singular point of a curve
*Mathematical singularity

ee also

*Singularity theory


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  • Singular point of a curve — In geometry, a singular point on a curve is one where the curve is not given by a smooth embedding of a parameter. The precise definition of a singular point depends on the type of curve being studied. Contents 1 Algebraic curves in the plane 1.1 …   Wikipedia

  • Singular point of an algebraic variety — In mathematics, a singular point of an algebraic variety V is a point P that is special (so, singular), in the geometric sense that V is not locally flat there. In the case of an algebraic curve, a plane curve that has a double point, such as the …   Wikipedia

  • Singular — Sin gu*lar (s[i^][ng] g[ u]*l[ e]r), a. [OE. singuler, F. singulier, fr. L. singularius, singularis, fr. singulus single. See {Single}, a.] 1. Separate or apart from others; single; distinct. [Obs.] Bacon. [1913 Webster] And God forbid that all a …   The Collaborative International Dictionary of English

  • Singular point in a curve — Singular Sin gu*lar (s[i^][ng] g[ u]*l[ e]r), a. [OE. singuler, F. singulier, fr. L. singularius, singularis, fr. singulus single. See {Single}, a.] 1. Separate or apart from others; single; distinct. [Obs.] Bacon. [1913 Webster] And God forbid… …   The Collaborative International Dictionary of English

  • Singular proposition — Singular Sin gu*lar (s[i^][ng] g[ u]*l[ e]r), a. [OE. singuler, F. singulier, fr. L. singularius, singularis, fr. singulus single. See {Single}, a.] 1. Separate or apart from others; single; distinct. [Obs.] Bacon. [1913 Webster] And God forbid… …   The Collaborative International Dictionary of English

  • Singular succession — Singular Sin gu*lar (s[i^][ng] g[ u]*l[ e]r), a. [OE. singuler, F. singulier, fr. L. singularius, singularis, fr. singulus single. See {Single}, a.] 1. Separate or apart from others; single; distinct. [Obs.] Bacon. [1913 Webster] And God forbid… …   The Collaborative International Dictionary of English

  • Singular term — Singular Sin gu*lar (s[i^][ng] g[ u]*l[ e]r), a. [OE. singuler, F. singulier, fr. L. singularius, singularis, fr. singulus single. See {Single}, a.] 1. Separate or apart from others; single; distinct. [Obs.] Bacon. [1913 Webster] And God forbid… …   The Collaborative International Dictionary of English

  • Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …   Wikipedia

  • Singular Spectrum Analysis — The Singular Spectrum Analysis (SSA) techniqueis a powerful technique of time series analysisincorporating the elements of classical time series analysis,multivariate statistics, multivariate geometry, dynamical systemsand signal processing. The… …   Wikipedia

  • Singular point — Point Point, n. [F. point, and probably also pointe, L. punctum, puncta, fr. pungere, punctum, to prick. See {Pungent}, and cf. {Puncto}, {Puncture}.] 1. That which pricks or pierces; the sharp end of anything, esp. the sharp end of a piercing… …   The Collaborative International Dictionary of English

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