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A general plane quartic curve is a curve of the form (1) Examples include the ampersand curve, bean curve, bicorn, bicuspid curve, bifoliate, bifolium, bitangent-rich curve, ...

A nonhomogeneous linear equation or system of nonhomogeneous linear systems of equations is said to be affine.

A stable fixed point of a map which, in a dissipative dynamical system, is an attractor.

Conditions at an initial time t=t_0 from which a given set of mathematical equations or physical system evolves. A system with initial conditions specified is known as an ...

Given two groups G and H, there are several ways to form a new group. The simplest is the direct product, denoted G×H. As a set, the group direct product is the Cartesian ...

An integral of motion which restricts the phase space available to a dynamical system.

A system of parameter chain complexes used for multiplication on differential graded algebras up to homotopy.

The type of motion executed by a dynamical system containing two incommensurate frequencies.

The turning of an object or coordinate system by an angle about a fixed point. A rotation is an orientation-preserving orthogonal transformation. Euler's rotation theorem ...

Let A and B be two algebras over the same signature Sigma, with carriers A and B, respectively (cf. universal algebra). B is a subalgebra of A if B subset= A and every ...