General Flashcards
Asymptote
An asymptote is a line or curve that approaches a given curve arbitrarily closely.
Curve
A curve is a continuous map from a one-dimensional space to an n-dimensional space. Loosely speaking, the word “curve” is often used to mean the function graph of a two- or three-dimensional curve.
Determinant
The determinant of a square matrix is a scalar (commonly computed using so-called expansion by minors) which is nonzero if and only if the matrix has an inverse.
Parametric Equations
Parametric equations are a set of equations that together express a set of quantities as explicit functions of a number of independent variables, which are known as parameters.
Plane
A plane is a two-dimensional surface defined by linear equations.
Plane Curve
A plane curve is a curve that lies in a single plane. A plane curve may be closed or open.
Polar Coordinates
Polar coordinates are a two-dimensional coordinate system in which points in two dimensions are given by an angle and a distance from the origin.
Rational Function
A rational function is a function that can be written as the quotient of two polynomials.
Reflection
In mathematics, reflection is the operation of exchanging all points of a mathematical object with their mirror images.
Rotation
A rotation is the turning of an object or coordinate system about a fixed point.
Rotation Matrix
A rotation matrix is a matrix that corresponds to the linear transformation of a rotation.
Scalar
A scalar is value (such as a measurement) that has only magnitude but not direction. This contrasts with a vector, which has direction as well as magnitude.
Spherical Coordinates
Spherical coordinates are a coordinate system in which points in three-dimensional space are given by two angles and a distance from the origin.
Tangent Line
A tangent line is a line that touches but does not cross a curve at a given point.
Translation
In geometry, a translation is a transformation consisting of a constant shift with no rotation or stretching.
