Singular Point (Algebraic Curve)
A singular point of an Algebraic Curve is a point where the curve has ``nasty'' behavior such as a Cusp or apoint of self-intersection (when the underlying field 
is taken as the Reals). More formally, apoint 
on a curve 
is singular if the 
and 
Partial Derivatives of 
are both zero at the point . (If the field is not the Reals or ComplexNumbers, then the Partial Derivative is computed formally using the usual rules of Calculus.)
Consider the following two examples. For the curve
the Cusp at (0, 0) is a singular point. For the curve
is a nonsingular point and this curve is nonsingular.See also Algebraic Curve, Cusp- Isomorphic Posets
- Isomorphism
- Isoperimetric Inequality
- Isoperimetric Point
- Isoperimetric Problem
- Isoperimetric Quotient
- Isoperimetric Theorem
- Isopleth
- Isoptic Curve
- Isosceles Tetrahedron
- Isosceles Triangle
- Isoscelizer
- Isospectral Manifolds
- Isothermal Parameterization
- Isotomic Conjugate Point
- Isotomic Lines
- Isotone Map
- Isotope
- Isotopy
- Isotropic Tensor
- Isovolume Problem
- Isthmus
- Iterated Exponential Constants
- Iterated Function System
- Iterated Radical