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What (who) is quadratic spline - definition

SPECIAL FUNCTION DEFINED PIECEWISE BY POLYNOMIALS

Knot value; Linear spline; Quadratic spline; Spline curve; Knot vector; Uniform splines; Spline function; Cubic splines; Knots (regression); Knot (regression); Spline curves

Quadratic irrational number

MATHEMATICAL CONCEPT

Quadratic surd; Quadratic irrationality; Quadratic Irrational Number; Quadratic irrationalities; Quadratic irrational; Quadratic irrational numbers

In mathematics, a quadratic irrational number (also known as a quadratic irrational, a quadratic irrationality or quadratic surd) is an irrational number that is the solution to some quadratic equation with rational coefficients which is irreducible over the rational numbers.Jörn Steuding, Diophantine Analysis, (2005), Chapman & Hall, p.

https://en.wikipedia.org/wiki/Quadratic_irrational_number

Quadratic reciprocity

THEOREM

Law of quadratic reciprocity; Quadratic reciprocity rule; Aureum Theorema; Law of Quadratic Reciprocity; Quadratic reciprocity law; Quadratic reciprocity theorem; Quadratic Reciprocity; Qr theorem

In number theory, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equations modulo prime numbers. Due to its subtlety, it has many formulations, but the most standard statement is:

https://en.wikipedia.org/wiki/Quadratic_reciprocity

Linear–quadratic regulator

LINEAR OPTIMAL CONTROL TECHNIQUE

Linear-quadratic control; Dynamic Riccati equation; Linear-quadratic regulator; Quadratic quadratic regulator; Quadratic–quadratic regulator; Quadratic-quadratic regulator; Polynomial quadratic regulator; Polynomial–quadratic regulator; Polynomial-quadratic regulator; Linear quadratic regulator

The theory of optimal control is concerned with operating a dynamic system at minimum cost. The case where the system dynamics are described by a set of linear differential equations and the cost is described by a quadratic function is called the LQ problem.

https://en.wikipedia.org/wiki/Linear–quadratic_regulator

Wikipedia

Spline (mathematics)

In mathematics, a spline is a special function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields similar results, even when using low degree polynomials, while avoiding Runge's phenomenon for higher degrees.

In the computer science subfields of computer-aided design and computer graphics, the term spline more frequently refers to a piecewise polynomial (parametric) curve. Splines are popular curves in these subfields because of the simplicity of their construction, their ease and accuracy of evaluation, and their capacity to approximate complex shapes through curve fitting and interactive curve design.

The term spline comes from the flexible spline devices used by shipbuilders and draftsmen to draw smooth shapes.

https://en.wikipedia.org/wiki/Spline (mathematics)