Polynomial Curve
A curve obtained by fitting Polynomials to each ordinate of an ordered sequence of points. The aboveplots show Polynomial curves where the order of the fitting Polynomial varies from 
to 
, where 
isthe number of points.
Polynomial curves have several undesirable features, including a nonintuitive variation of fitting curve with varyingCoefficients, and numerical instability for high orders. Splines such as theBézier Curve are therefore used more commonly.
See also Bézier Curve, Polynomial, Spline- Lebesgue-Radon Integral
- Lebesgue Singular Integrals
- Lebesgue-Stieltjes Integral
- Lebesgue Sum
- Le Cam's Identity
- Leech Lattice
- Lefshetz Fixed Point Formula
- Lefshetz's Theorem
- Lefshetz Trace Formula
- Leg
- Legendre Addition Theorem
- Legendre Differential Equation
- Legendre Duplication Formula
- Legendre Function of the First Kind
- Legendre Function of the Second Kind
- Legendre-Gauss Quadrature
- Legendre-Jacobi Elliptic Integral
- Legendre Polynomial
- Legendre Polynomial of the Second Kind
- Legendre Quadrature
- Legendre Relation
- Legendre's Chi-Function
- Legendre's Constant
- Legendre Series
- Legendre's Factorization Method