a function of a topological space that gives, for any two points in the space, a value equal to the distance between them | metric; metric function; |

(mathematics) a function that changes the position or direction of the axes of a coordinate system | transformation; |

(mathematics) a transformation in which the direction of one axis is reversed | reflection; |

(mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin | rotation; |

(mathematics) a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains the same | translation; |

(mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis | affine transformation; |

a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points | isometry; |

(mathematics) a symbol or function representing a mathematical operation | operator; |

an operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are functions) | linear operator; |

an operator that leaves unchanged the element on which it operates | identity; identity element; identity operator; |

function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle | circular function; trigonometric function; |

ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle | sin; sine; |

the inverse function of the sine; the angle that has a sine equal to a given number | arc sine; arcsin; arcsine; inverse sine; |

ratio of the adjacent side to the hypotenuse of a right-angled triangle | cos; cosine; |

the inverse function of the cosine; the angle that has a cosine equal to a given number | arc cosine; arccos; arccosine; inverse cosine; |

ratio of the opposite to the adjacent side of a right-angled triangle | tan; tangent; |

the inverse function of the tangent; the angle that has a tangent equal to a given number | arc tangent; arctan; arctangent; inverse tangent; |

ratio of the adjacent to the opposite side of a right-angled triangle | cotan; cotangent; |

the inverse function of the cotangent; the angle that has a cotangent equal to a given number | arc cotangent; arccotangent; inverse cotangent; |

ratio of the hypotenuse to the adjacent side of a right-angled triangle | sec; secant; |