Singular point of a curve information

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...

mathematical field of algebraic geometry, a singular point of an algebraic variety V is a point P that is 'special' (so, singular), in the geometric sense...

at which a given mathematical object is not defined or not "well-behaved", for example infinite or not differentiable Singular point of a curve, where the...

as of endpoint. This point is the only singular point of the curve. There are also two arcs having this singular point as one endpoint and having a second...

an infinite cardinal number that is not a regular cardinal Singular point of a curve, in geometry Singularity (disambiguation) Singulair, Merck trademark...

A cubic curve may have a singular point, in which case it has a parametrization in terms of a projective line. Otherwise a non-singular cubic curve is...

algebraic geometry, a tacnode (also called a point of osculation or double cusp) is a kind of singular point of a curve. It is defined as a point where two (or...

point, Regular singular point Saddle point Semistable point Separable point Simple point Singular point of a curve Singular point of an algebraic variety...

such singular points must be counted with multiplicity (2 for a double point, 3 for a cusp), in accounting for intersections of curves. It was then a short...

also refer to: Cusp (singularity), a singular point of a curve Cusp catastrophe, a branch of bifurcation theory in the study of dynamical systems Cusp...

non-singular, elliptic curves. Those of degree 4 are called quartic plane curves. Numerous examples of plane curves are shown in Gallery of curves and...

elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined over a field K...

defines a quadratic extension of C(x), and it is that function field that is meant. The singular point at infinity can be removed (since this is a curve) by...

geometry, an inflection point, point of inflection, flex, or inflection (rarely inflexion) is a point on a smooth plane curve at which the curvature changes...

critical point Singular point of an algebraic variety, a type of singular point of a curve node, the points where a great circle crosses a plane of reference...

used to mean a solution at which there is a failure of uniqueness to the initial value problem at every point on the curve. A singular solution in this...

simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at that point. Leibniz defined it...

Hessian matrix of second derivatives will have both positive and negative eigenvalues. Singular point of a curve Acnode Cusp Tacnode Saddle point Weisstein...

and a cylinder: one part Intersection of a sphere and a cylinder: two parts Intersection of a sphere and a cylinder: curve with one singular point Intersection...

local maximum at the singularity. Singular point of a curve Crunode Cusp Tacnode Hazewinkel, M. (2001) [1994], "Acnode", Encyclopedia of Mathematics, EMS...

winding index of a closed curve in the plane around a given point is an integer representing the total number of times that the curve travels counterclockwise...

Pn-1 is singular. double curve A 1-dimensional singularity, usually of a surface, of multiplicity 2 double point 1.  A 0-dimensional singularity of multiplicity...

example, an elliptic curve (a non-singular genus 1 curve with 1 marked point) is stable. Over the complex numbers, a connected curve is stable if and only...

thought of as the trace left by a moving point. This is the definition that appeared more than 2000 years ago in Euclid's Elements: "The [curved] line is...

property of having non-trivial endomorphisms rather than referring to a singular curve. The modular function j(τ) is algebraic on imaginary quadratic numbers...

defines a curve of degree n−1 called the first polar of C with respect of Q. If P=(p, q, r) is a non-singular point on the curve C then the equation of the...