However, it seems that many of the methods for solving linear and quadratic equations used by Diophantus go back to Babylonian mathematics.

In mathematics, the root mean square ( abbreviated RMS or rms ), also known as the quadratic mean, is a statistical measure of the magnitude of a varying quantity.

In mathematics, a quadric, or quadric surface, is any D-dimensional hypersurface in ( D + 1 )- dimensional space defined as the locus of zeros of a quadratic polynomial.

In mathematics, the orthogonal group of a symmetric bilinear form or quadratic form on a vector space is the group of invertible linear operators on the space which preserve the form: it is a subgroup of the automorphism group of the vector space.

A quadratic function, in mathematics, is a polynomial function of the form

In mathematics, the term quadratic describes something that pertains to squares, to the operation of squaring, to terms of the second degree, or equations or formulas that involve such terms.

When applying the Riemann constant in sigma mathematics, or when using integrals, it is a common practice to apply the quadratic function when ascertaining the equation's alpha variable.

In mathematics, a reciprocity law is a generalization of the law of quadratic reciprocity.

In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables.

Since then, the concept has been generalized, and the connections with quadratic number fields, the modular group, and other areas of mathematics have been further elucidated.

In mathematics, completing the square is considered a basic algebraic operation, and is often applied without remark in any computation involving quadratic polynomials.

In mathematics, a Riccati equation is any ordinary differential equation that is quadratic in the unknown function.

In mathematics, a quadratic irrational ( also known as

Klein's quartic occurs in many branches of mathematics, in contexts including representation theory, homology theory, octonion multiplication, Fermat's last theorem, and the Stark – Heegner theorem on imaginary quadratic number fields of class number one ; see for a survey of properties.

In number theory, a branch of mathematics, the Stark – Heegner theorem states precisely which quadratic imaginary number fields admit unique factorisation in their ring of integers.

In mathematics, a degenerate conic is a conic ( degree-2 plane curve, the zeros of a degree-2 polynomial equation, a quadratic ) that fails to be an irreducible curve.

The study of algebraic equations is probably as old as mathematics: the Babylonian mathematicians, as early as 2000 BC could solve some kind of quadratic equations ( displayed on Old Babylonian clay tablets ).

A second debate by him on mathematics (" quadratic equations ") was reprinted by the British Association for the History of Mathematics and by the American equivalent body, and from thence it is cited by Puzzi in a recent text " The Equation They Couldn't Solve ".

* In mathematics, a notation for the Arf invariant for quadratic forms over the 2-element field.

In mathematics, a quadratic polynomial or quadratic is a polynomial of degree two, also called second-order polynomial.

In mathematics, a quadratic integral is an integral of the form

In mathematics, the Chowla – Selberg formula is the evaluation of a certain product of values of the Gamma function at rational values in terms of values of the Dedekind eta function at imaginary quadratic irrational numbers.

In mathematics, the Gauss class number problem ( for imaginary quadratic fields ), as usually understood, is to provide for each n ≥ 1 a complete list of imaginary quadratic fields with class number n. It is named after the great mathematician Carl Friedrich Gauss.

Initially a study of systems of polynomial equations in several variables, the subject of algebraic geometry starts where equation solving leaves off, and it becomes even more important to understand the intrinsic properties of the totality of solutions of a system of equations, than to find a specific solution ; this leads into some of the deepest areas in all of mathematics, both conceptually and in terms of technique.

In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y ( x ) of Bessel's differential equation:

In mathematics, it is closely related to the Poisson kernel, which is the fundamental solution for the Laplace equation in the upper half-plane.

In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only.

The arbitrary assumptions made by Fresnel to arrive at the Huygens – Fresnel equation emerge automatically from the mathematics in this derivation.

which looks the same as in an inertial frame, but now the force F ′ is the resultant of not only F, but also additional terms ( the paragraph following this equation presents the main points without detailed mathematics ):

In mathematics, statistics, and the mathematical sciences, a parameter is a quantity that serves to relate functions and variables using a common variable when such a relationship would be difficult to explicate with an equation.

In mathematics, a transcendental number is a ( possibly complex ) number that is not algebraic — that is, it is not a root of a non-constant polynomial equation with rational coefficients.

In mathematics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its properties.

His dissertation, entitled, " Solutions of the Mathieu equation of period 4 pi and certain related functions ", was beyond the comprehension of the chemistry and physics faculty, and only when some members of the mathematics department, including the chairman, insisted that the work was good enough that they would grant the doctorate if the chemistry department would not, was he granted a Ph. D. in chemistry in 1935.

Although Dirac did not at first fully appreciate what his own equation was telling him, his resolute faith in the logic of mathematics as a means to physical reasoning, his explanation of spin as a consequence of the union of quantum mechanics and relativity, and the eventual discovery of the positron, represents one of the great triumphs of theoretical physics, fully on a par with the work of Newton, Maxwell, and Einstein before him.

In mathematics, a partial differential equation ( PDE ) is a differential equation that contains unknown multivariable functions and their partial derivatives.

In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f: U → R ( where U is an open subset of R < sup > n </ sup >) which satisfies Laplace's equation, i. e.

More mundanely, an identity in mathematics may be an equation that holds true for all values of a variable.

In mathematics, Legendre functions are solutions to Legendre's differential equation:

In mathematics, a Diophantine equation is an equation of the form P ( x < sub > 1 </ sub >, ..., x < sub > j </ sub >, y < sub > 1 </ sub >, ..., y < sub > k </ sub >)= 0 ( usually abbreviated P (,)= 0 ) where P (,) is a polynomial with integer coefficients.

In mathematics, a hyperboloid is a quadric – a type of surface in three dimensions – described by the equation

In mathematics, a recurrence relation is an equation that recursively defines a sequence, once one or more initial terms are given: each further term of the sequence is defined as a function of the preceding terms.

In mathematics, LHS is informal shorthand for the left-hand side of an equation.