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HYPERBOLIC POINT

  • Hyperbolic equilibrium point
  • Fixed point that does not have any center manifolds

    systems, a hyperbolic equilibrium point or hyperbolic fixed point is a fixed point that does not have any center manifolds. Near a hyperbolic point the orbits

    Hyperbolic equilibrium point

    Hyperbolic equilibrium point

    Hyperbolic_equilibrium_point

  • Hyperbolic point
  • Topics referred to by the same term

    In mathematics, a hyperbolic point is a certain kind of point, one of: A point in a hyperbolic geometry A point of negative Gaussian curvature on a smooth

    Hyperbolic point

    Hyperbolic_point

  • Hyperbolic geometry
  • Type of non-Euclidean geometry

    of Euclid's parallel postulate.) The hyperbolic plane is a plane where every point is a saddle point. Hyperbolic plane geometry is also the geometry of

    Hyperbolic geometry

    Hyperbolic geometry

    Hyperbolic_geometry

  • Hyperbolic functions
  • Hyperbolic analogues of trigonometric functions

    In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just

    Hyperbolic functions

    Hyperbolic functions

    Hyperbolic_functions

  • Hyperbolic manifold
  • Space where every point locally resembles a hyperbolic space

    In mathematics, a hyperbolic manifold is a space where every point looks locally like hyperbolic space of some dimension. They are especially studied in

    Hyperbolic manifold

    Hyperbolic manifold

    Hyperbolic_manifold

  • Hyperbolic space
  • Non-Euclidean geometry

    In mathematics, hyperbolic space of dimension n is the unique simply connected, n-dimensional Riemannian manifold of constant negative sectional curvature

    Hyperbolic space

    Hyperbolic space

    Hyperbolic_space

  • Paraboloid
  • Quadric surface with one axis of symmetry and no center of symmetry

    either an ellipse, or a single point (in the case of a section by a tangent plane). A paraboloid is either elliptic or hyperbolic. Equivalently, a paraboloid

    Paraboloid

    Paraboloid

    Paraboloid

  • Inverse hyperbolic functions
  • Mathematical functions

    common use: inverse hyperbolic sine, inverse hyperbolic cosine, inverse hyperbolic tangent, inverse hyperbolic cosecant, inverse hyperbolic secant, and inverse

    Inverse hyperbolic functions

    Inverse hyperbolic functions

    Inverse_hyperbolic_functions

  • Hyperbolic metric space
  • Concept in mathematics

    In mathematics, a hyperbolic metric space is a metric space satisfying certain metric relations (depending quantitatively on a nonnegative real number

    Hyperbolic metric space

    Hyperbolic_metric_space

  • Hyperbolic triangle
  • Triangle in hyperbolic geometry

    In hyperbolic geometry, a hyperbolic triangle is a triangle in the hyperbolic plane. It consists of three line segments called sides or edges and three

    Hyperbolic triangle

    Hyperbolic triangle

    Hyperbolic_triangle

  • Hyperbolic
  • Topics referred to by the same term

    Look up hyperbolic in Wiktionary, the free dictionary. Hyperbolic may refer to: of or pertaining to a hyperbola, a type of smooth curve lying in a plane

    Hyperbolic

    Hyperbolic

  • Poincaré disk model
  • Model of hyperbolic geometry

    model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which all points are inside the unit disk, and straight lines

    Poincaré disk model

    Poincaré disk model

    Poincaré_disk_model

  • Coordinate systems for the hyperbolic plane
  • Category of coordinate systems

    In the hyperbolic plane, as in the Euclidean plane, each point can be uniquely identified by two real numbers. Several qualitatively different ways of

    Coordinate systems for the hyperbolic plane

    Coordinate_systems_for_the_hyperbolic_plane

  • Saddle point
  • Critical point on a surface graph which is not a local extremum

    period of the point) has no eigenvalue on the (complex) unit circle when computed at the point. Then a saddle point is a hyperbolic periodic point whose stable

    Saddle point

    Saddle point

    Saddle_point

  • Ideal point
  • Point at infinity in hyperbolic geometry

    In hyperbolic geometry, an ideal point, omega point or point at infinity is a well-defined point outside the hyperbolic plane or space. Given a line l

    Ideal point

    Ideal point

    Ideal_point

  • Hyperbolic group
  • Mathematical concept

    precisely in geometric group theory, a hyperbolic group, also known as a word hyperbolic group or Gromov hyperbolic group, is a finitely generated group

    Hyperbolic group

    Hyperbolic group

    Hyperbolic_group

  • Hyperbolic sector
  • Region of the Cartesian plane bounded by a hyperbola and two radii

    A hyperbolic sector is a region of the Cartesian plane bounded by a hyperbola and two rays from the origin to it. For example, the two points (a, 1/a)

    Hyperbolic sector

    Hyperbolic sector

    Hyperbolic_sector

  • Asymptotic curve
  • Concept in differential geometry

    hyperbola of the Dupin indicatrix through a hyperbolic point, or the unique asymptote through a parabolic point. An asymptotic direction is a direction along

    Asymptotic curve

    Asymptotic_curve

  • Poincaré half-plane model
  • Upper-half plane model of hyperbolic non-Euclidean geometry

    way of representing the hyperbolic plane using points in the familiar Euclidean plane. Specifically, each point in the hyperbolic plane is represented using

    Poincaré half-plane model

    Poincaré half-plane model

    Poincaré_half-plane_model

  • Hyperbolic motion
  • Isometric automorphisms of a hyperbolic space

    In geometry, hyperbolic motions are isometric automorphisms of a hyperbolic space. Under composition of mappings, the hyperbolic motions form a continuous

    Hyperbolic motion

    Hyperbolic_motion

  • Hyperbolic volume
  • Normalized hyperbolic volume of the complement of a hyperbolic knot

    knot theory, the hyperbolic volume of a hyperbolic link is the volume of the link's complement with respect to its complete hyperbolic metric. The volume

    Hyperbolic volume

    Hyperbolic volume

    Hyperbolic_volume

  • Hyperbolic angle
  • Argument of the hyperbolic functions

    In geometry, hyperbolic angle is a real number determined by the area of the corresponding hyperbolic sector of xy = 1 in Quadrant I of the Cartesian plane

    Hyperbolic angle

    Hyperbolic angle

    Hyperbolic_angle

  • Non-Euclidean geometry
  • Two geometries based on axioms closely related to those specifying Euclidean geometry

    any given line l and a point A, which is not on l, there is exactly one line through A that does not intersect l. In hyperbolic geometry, by contrast,

    Non-Euclidean geometry

    Non-Euclidean_geometry

  • Uniform tilings in hyperbolic plane
  • Symmetric subdivision in hyperbolic geometry

    In hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbolic tiling) is an edge-to-edge filling of the hyperbolic

    Uniform tilings in hyperbolic plane

    Uniform_tilings_in_hyperbolic_plane

  • Hyperbolic partial differential equation
  • Type of partial differential equations

    of hyperbolic equations are "wave-like". If a disturbance is made in the initial data of a hyperbolic differential equation, then not every point of space

    Hyperbolic partial differential equation

    Hyperbolic_partial_differential_equation

  • Hyperbolic trajectory
  • Concept in astrodynamics

    In astrodynamics or celestial mechanics, a hyperbolic trajectory or hyperbolic orbit (from Newtonian theory: hyperbola shape) is the trajectory of any

    Hyperbolic trajectory

    Hyperbolic trajectory

    Hyperbolic_trajectory

  • Hyperbolic (album)
  • 2024 studio album by Pnau

    Hyperbolic is the sixth studio album by Australian electronic trio Pnau, released on 22 March 2024 through etcetc. Their first album in seven years since

    Hyperbolic (album)

    Hyperbolic_(album)

  • Hyperbolic coordinates
  • Geometric mean and hyperbolic angle as coordinates in quadrant I

    In mathematics, hyperbolic coordinates are a method of locating points in quadrant I of the Cartesian plane { ( x , y )   :   x > 0 ,   y > 0   } = Q {\displaystyle

    Hyperbolic coordinates

    Hyperbolic coordinates

    Hyperbolic_coordinates

  • Hyperbole
  • Rhetorical device

    Hyperbole (/haɪˈpɜːrbəli/ hy-PUR-bə-lee; adj. hyperbolic /ˌhaɪpərˈbɒlɪk/ HY-pur-BOL-ick) is the use of exaggeration as a rhetorical device or figure of

    Hyperbole

    Hyperbole

  • Point at infinity
  • Concept in geometry

    Riemann sphere (when complex numbers are mapped to each point). In the case of a hyperbolic space, each line has two distinct ideal points. Here, the

    Point at infinity

    Point at infinity

    Point_at_infinity

  • Hyperbolic spiral
  • Spiral asymptotic to a line

    A hyperbolic spiral is a type of spiral with a pitch angle that increases with distance from its center, unlike the constant angles of logarithmic spirals

    Hyperbolic spiral

    Hyperbolic spiral

    Hyperbolic_spiral

  • Periodic point
  • Point which a function/system returns to after some time or iterations

    theorem Stationary point Periodic points of complex quadratic mappings This article incorporates material from hyperbolic fixed point on PlanetMath, which

    Periodic point

    Periodic_point

  • Globally hyperbolic spacetime
  • Spacetime manifold

    global hyperbolicity is a certain condition on the causal structure of a spacetime manifold (that is, a Lorentzian manifold). It is called hyperbolic in analogy

    Globally hyperbolic spacetime

    Globally_hyperbolic_spacetime

  • Möbius transformation
  • Rational function of the form (az + b)/(cz + d)

    family of curves, away from the first fixed point and toward the second fixed point. Unlike the hyperbolic case, these curves are not circular arcs, but

    Möbius transformation

    Möbius_transformation

  • Hyperbolic trigonometry
  • Topics referred to by the same term

    In mathematics, hyperbolic trigonometry can mean: The study of hyperbolic triangles in hyperbolic geometry (traditional trigonometry is the study of triangles

    Hyperbolic trigonometry

    Hyperbolic_trigonometry

  • Dupin indicatrix
  • Method for characterising the local shape of a surface

    the ellipse. In particular, the indicatrix of an umbilical point is a circle. For hyperbolic points, where the Gaussian curvature is negative, the intersection

    Dupin indicatrix

    Dupin indicatrix

    Dupin_indicatrix

  • Point (geometry)
  • Fundamental object of geometry

    In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical

    Point (geometry)

    Point (geometry)

    Point_(geometry)

  • Hyperbolic set
  • dynamical systems theory, a subset Λ of a smooth manifold M is said to have a hyperbolic structure with respect to a smooth map f if its tangent bundle may be

    Hyperbolic set

    Hyperbolic_set

  • Binary tiling
  • Tiling of the hyperbolic plane

    Böröczky tiling) is a tiling of the hyperbolic plane, resembling a quadtree over the Poincaré half-plane model of the hyperbolic plane. The tiles are congruent

    Binary tiling

    Binary tiling

    Binary_tiling

  • Lagrange point
  • Equilibrium points near two orbiting bodies

    exert an unbalanced gravitational force at a point, altering the orbit of any other celestial body at that point. At the Lagrange points, the gravitational

    Lagrange point

    Lagrange point

    Lagrange_point

  • Complex hyperbolic space
  • In mathematics, the complex hyperbolic space is a Hermitian manifold which is the equivalent of the real hyperbolic space in the context of complex manifolds

    Complex hyperbolic space

    Complex_hyperbolic_space

  • Lists of uniform tilings on the sphere, plane, and hyperbolic plane
  • In geometry, many uniform tilings on sphere, euclidean plane, and hyperbolic plane can be made by Wythoff construction within a fundamental triangle, (p

    Lists of uniform tilings on the sphere, plane, and hyperbolic plane

    Lists_of_uniform_tilings_on_the_sphere,_plane,_and_hyperbolic_plane

  • Orbital eccentricity
  • Amount by which an orbit deviates from a perfect circle

    Circular orbit: e = 0 Elliptic orbit: 0 < e < 1 Parabolic trajectory: e = 1 Hyperbolic trajectory: e > 1 The eccentricity e is given by e = 1 +   2   E   L 2

    Orbital eccentricity

    Orbital eccentricity

    Orbital_eccentricity

  • Hyperbolic geometric graph
  • A hyperbolic geometric graph (HGG) or hyperbolic geometric network (HGN) is a special type of spatial network where (1) latent coordinates of nodes are

    Hyperbolic geometric graph

    Hyperbolic geometric graph

    Hyperbolic_geometric_graph

  • Hyperbolic theory
  • Topics referred to by the same term

    Hyperbolic theory may refer to: Hyperbolic geometry The theory of hyperbolic partial differential equations This disambiguation page lists mathematics

    Hyperbolic theory

    Hyperbolic_theory

  • Umbilical point
  • Locally spherical point on a mathematical surface

    to the other sheet. For a hyperbolic umbilic there is a single cuspidal edge which switch from one sheet to the other. A point p in a Riemannian submanifold

    Umbilical point

    Umbilical point

    Umbilical_point

  • Triangle
  • Shape with three sides

    discovered in several spaces, as in hyperbolic space and spherical geometry. A triangle in hyperbolic space is called a hyperbolic triangle, and it can be obtained

    Triangle

    Triangle

    Triangle

  • Horosphere
  • Hypersurface in hyperbolic space

    In hyperbolic geometry, a horosphere (or parasphere) is a specific hypersurface in hyperbolic n-space. It is the boundary of a horoball, the limit of a

    Horosphere

    Horosphere

    Horosphere

  • Horocycle
  • Curve whose normals converge asymptotically

    In hyperbolic geometry, a horocycle (from Greek roots meaning "boundary circle"), sometimes called an oricycle or limit circle, is a curve of constant

    Horocycle

    Horocycle

    Horocycle

  • Plane (mathematics)
  • 2D surface which extends indefinitely

    exactly one point. The elliptic plane may be further defined by adding a metric to the real projective plane. One may also conceive of a hyperbolic plane,

    Plane (mathematics)

    Plane_(mathematics)

  • Mandelbrot set
  • Fractal named after mathematician Benoit Mandelbrot

    little Mandelbrot copy (see below). Each of the hyperbolic components has a center, which is a point c such that the inner Fatou domain for f c ( z )

    Mandelbrot set

    Mandelbrot set

    Mandelbrot_set

  • Beltrami–Klein model
  • Model of hyperbolic geometry

    projective model, Klein disk model, and the Cayley–Klein model, is a model of hyperbolic geometry in which points are represented by the points in the interior

    Beltrami–Klein model

    Beltrami–Klein model

    Beltrami–Klein_model

  • Generalised hyperbolic distribution
  • Continuous probability distribution

    The generalised hyperbolic distribution (GH) is a continuous probability distribution defined as the normal variance-mean mixture where the mixing distribution

    Generalised hyperbolic distribution

    Generalised_hyperbolic_distribution

  • Hypercycle (geometry)
  • Type of curve in hyperbolic geometry

    In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight

    Hypercycle (geometry)

    Hypercycle (geometry)

    Hypercycle_(geometry)

  • Hyperbola
  • Plane curve: conic section

    {\sqrt {x^{2}-1}})} as the coordinates of the intersection point. Then the area of the hyperbolic sector is the area of the triangle minus the curved region

    Hyperbola

    Hyperbola

    Hyperbola

  • Teichmüller space
  • Parametrizes complex structures on a surface

    {\displaystyle S} to itself. It can be viewed as a moduli space for marked hyperbolic structure on the surface, and this endows it with a natural topology for

    Teichmüller space

    Teichmüller_space

  • Plotting algorithms for the Mandelbrot set
  • Algorithms and methods of plotting the Mandelbrot set on a computing device

    also possible to estimate the distance of a limitly periodic (i.e., hyperbolic) point to the boundary of the Mandelbrot set. The upper bound b for the distance

    Plotting algorithms for the Mandelbrot set

    Plotting algorithms for the Mandelbrot set

    Plotting_algorithms_for_the_Mandelbrot_set

  • Fixed-point theorem
  • Condition for a mathematical function to map some value to itself

    (2003). Schmidt, Asmus L. (ed.). Discontinuous groups of isometries in the hyperbolic plane. De Gruyter Studies in mathematics. Vol. 29. Berlin: Walter de Gruyter

    Fixed-point theorem

    Fixed-point_theorem

  • List of regular polytopes
  • This article lists the regular polytopes in Euclidean, spherical and hyperbolic spaces. This table shows a summary of regular polytope counts by rank.

    List of regular polytopes

    List of regular polytopes

    List_of_regular_polytopes

  • Riemann surface
  • One-dimensional complex manifold

    Picard theorem: maps from hyperbolic to parabolic to elliptic are easy, but maps from elliptic to parabolic or parabolic to hyperbolic are very constrained

    Riemann surface

    Riemann surface

    Riemann_surface

  • Hyperbolic orthogonality
  • Relation of space and time in relativity theory

    The point (1/m , 1) on the line is reflected across y = x to (1, 1/m). Therefore the reflected line has slope 1/m and the slopes of hyperbolic orthogonal

    Hyperbolic orthogonality

    Hyperbolic orthogonality

    Hyperbolic_orthogonality

  • CORDIC
  • Algorithm for computing trigonometric, hyperbolic, logarithmic and exponential functions

    simple and efficient algorithm to calculate trigonometric functions, hyperbolic functions, square roots, multiplications, divisions, exponentials, and

    CORDIC

    CORDIC

    CORDIC

  • Perpendicular
  • Relationship between two lines that meet at a right angle

    distance from a point to a line is the distance to the nearest point on that line. That is the point at which a segment from it to the given point is perpendicular

    Perpendicular

    Perpendicular

    Perpendicular

  • Hartman–Grobman theorem
  • Theorem in dynamical system mathematics

    local behaviour of dynamical systems in the neighbourhood of a hyperbolic equilibrium point. It asserts that linearization—a natural simplification of the

    Hartman–Grobman theorem

    Hartman–Grobman_theorem

  • Split-complex number
  • Reals with an extra square root of +1 adjoined

    algebra, a split-complex number (or hyperbolic number, also perplex number, double number) is based on a hyperbolic unit j satisfying j 2 = 1 {\displaystyle

    Split-complex number

    Split-complex_number

  • Kobayashi metric
  • Pseudometric of complex manifolds

    manifold. It was introduced by Shoshichi Kobayashi in 1967. Kobayashi hyperbolic manifolds are an important class of complex manifolds, defined by the

    Kobayashi metric

    Kobayashi_metric

  • Law of hyperbolic growth of the human population
  • The law of hyperbolic growth of the human population is an empirical law discovered by Heinz von Foerster, which states that the human population of the

    Law of hyperbolic growth of the human population

    Law of hyperbolic growth of the human population

    Law_of_hyperbolic_growth_of_the_human_population

  • Coxeter–Dynkin diagram
  • Pictorial representation of symmetry

    subdivided, e.g. into hyperbolic and other Coxeter groups. However, there are multiple non-equivalent definitions for hyperbolic Coxeter groups. We use

    Coxeter–Dynkin diagram

    Coxeter–Dynkin diagram

    Coxeter–Dynkin_diagram

  • Isotropic quadratic form
  • Quadratic form for which there is a non-zero vector on which the form evaluates to zero

    Husemoller for the hyperbolic plane as the signs of the terms of the bivariate polynomial r are exhibited. The affine hyperbolic plane was described

    Isotropic quadratic form

    Isotropic_quadratic_form

  • Hyperbolic structure
  • Topics referred to by the same term

    Hyperbolic structure may refer to: Hyperboloid structure Hyperbolic set This disambiguation page lists mathematics articles associated with the same title

    Hyperbolic structure

    Hyperbolic_structure

  • Gudermannian function
  • Mathematical function relating circular and hyperbolic functions

    In mathematics, the Gudermannian function relates a hyperbolic angle measure ψ {\textstyle \psi } to a circular angle measure ϕ {\textstyle \phi } called

    Gudermannian function

    Gudermannian function

    Gudermannian_function

  • Hyperboloid model
  • Model of n-dimensional hyperbolic geometry

    Minkowski model after Hermann Minkowski, is a model of n-dimensional hyperbolic geometry in which points are represented by points on the forward sheet

    Hyperboloid model

    Hyperboloid model

    Hyperboloid_model

  • Stable manifold
  • Formalization of the idea of an attractor or repellor in dynamical systems

    attractor or repellor. In the case of hyperbolic dynamics, the corresponding notion is that of the hyperbolic set. The gravitational tidal forces acting

    Stable manifold

    Stable manifold

    Stable_manifold

  • Two-dimensional space
  • Mathematical space with two coordinates

    Two-dimensional spaces can also be curved, for example the sphere and hyperbolic plane, sufficiently small portions of which appear like the flat plane

    Two-dimensional space

    Two-dimensional_space

  • Squeeze mapping
  • Linear map that preserves areas

    of this group arises from consideration of hyperbolic sectors and their hyperbolic angles. From the point of view of the classical groups, the group of

    Squeeze mapping

    Squeeze mapping

    Squeeze_mapping

  • Gromov boundary
  • boundary of a δ-hyperbolic space (especially a hyperbolic group) is an abstract concept generalizing the boundary sphere of hyperbolic space. Conceptually

    Gromov boundary

    Gromov boundary

    Gromov_boundary

  • Riemannian manifold
  • Smooth manifold with an inner product on each tangent space

    curvature are defined. Euclidean space, the n {\displaystyle n} -sphere, hyperbolic space, and smooth surfaces in three-dimensional space, such as ellipsoids

    Riemannian manifold

    Riemannian manifold

    Riemannian_manifold

  • HyperRogue
  • Independent video game

    place in the hyperbolic plane. HyperRogue is a turn-based game in which the player controls one character exploring a world based on hyperbolic geometry,

    HyperRogue

    HyperRogue

    HyperRogue

  • Pair of pants (mathematics)
  • Three-holed sphere

    compact surfaces in various theories. Two important applications are to hyperbolic geometry, where decompositions of closed surfaces into pairs of pants

    Pair of pants (mathematics)

    Pair of pants (mathematics)

    Pair_of_pants_(mathematics)

  • Exponential dichotomy
  • exponential dichotomy is a property of an equilibrium point that extends the idea of hyperbolicity to non-autonomous systems. If x ˙ = A ( t ) x {\displaystyle

    Exponential dichotomy

    Exponential_dichotomy

  • Affine differential geometry
  • if it is a hyperbolic point. This generalizes to a hypersurface in n-space. We define a line element to be a line with a distinguished point. It can be

    Affine differential geometry

    Affine_differential_geometry

  • Sum of angles of a triangle
  • Fundamental result in geometry

    foliation. Hyperbolic geometry breaks Playfair's axiom, Proclus' axiom (the parallelism, defined as non-intersection, is intransitive in an hyperbolic plane)

    Sum of angles of a triangle

    Sum of angles of a triangle

    Sum_of_angles_of_a_triangle

  • Singularity (mathematics)
  • Point where a mathematical object behaves irregularly

    the form x − α , {\displaystyle x^{-\alpha },} of which the simplest is hyperbolic growth, where the exponent is (negative) 1: x − 1 . {\displaystyle x^{-1}

    Singularity (mathematics)

    Singularity_(mathematics)

  • Line–line intersection
  • Common point(s) shared by two lines in Euclidean geometry

    pair of lines intersects, while in hyperbolic geometry there exist infinitely many distinct lines through a given point that do not intersect a given line

    Line–line intersection

    Line–line intersection

    Line–line_intersection

  • Truncated order-7 triangular tiling
  • Semiregular tiling of the hyperbolic plane

    truncated triangular tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There are two hexagons and one heptagon

    Truncated order-7 triangular tiling

    Truncated order-7 triangular tiling

    Truncated_order-7_triangular_tiling

  • 3-manifold
  • Mathematical space

    diversity of other fields, such as knot theory, geometric group theory, hyperbolic geometry, number theory, Teichmüller theory, topological quantum field

    3-manifold

    3-manifold

    3-manifold

  • Saddle roof
  • Type of roof structure

    roof. Gallery of hyperbolic paraboloid structures A hyperbolic paraboloid saddle roof: Church Army Chapel, Blackheath A hyperbolic paraboloid saddle

    Saddle roof

    Saddle roof

    Saddle_roof

  • Epoch (astronomy)
  • Moment in time used as a reference point in astronomy

    astronomy, an epoch or reference epoch is a moment in time used as a reference point for some time-varying astronomical quantity. It is useful for the celestial

    Epoch (astronomy)

    Epoch_(astronomy)

  • Marilyn vos Savant
  • American columnist, author and lecturer (born 1946)

    Savant was criticized for rejecting hyperbolic geometry as a satisfactory basis for Wiles' proof, with critics pointing out that axiomatic set theory (rather

    Marilyn vos Savant

    Marilyn_vos_Savant

  • Ideal triangle
  • Type of hyperbolic triangle

    In hyperbolic geometry an ideal triangle is a hyperbolic triangle whose three vertices all are ideal points. Ideal triangles are also sometimes called

    Ideal triangle

    Ideal triangle

    Ideal_triangle

  • Mostow rigidity theorem
  • Theorem in hyperbolic geometry

    (complete) hyperbolic structures on a finite volume hyperbolic n {\displaystyle n} -manifold (for n > 2 {\displaystyle n>2} ) is a point, for a hyperbolic surface

    Mostow rigidity theorem

    Mostow_rigidity_theorem

  • 5
  • Natural number

    are five fundamental mirror symmetry point group families in 4-dimensions. There are also 5 compact hyperbolic Coxeter groups, or 4-prisms, of rank 5

    5

    5

  • Absolute geometry
  • Geometry without the parallel postulate

    systems, giving rise to Euclidean or hyperbolic geometry. Thus every theorem of absolute geometry is a theorem of hyperbolic geometry and Euclidean geometry

    Absolute geometry

    Absolute_geometry

  • Angle
  • Figure formed by two rays meeting at a common point

    {\left|g_{ij}U^{i}U^{j}\right|\left|g_{ij}V^{i}V^{j}\right|}}}.} A hyperbolic angle is an argument of a hyperbolic function just as the circular angle is the argument

    Angle

    Angle

    Angle

  • Line (geometry)
  • Straight figure with zero width and depth

    oriented line (or directed line) above is from a reference point a (t = 0) to a target point b (t = 1), or in other words, in the direction of the relative

    Line (geometry)

    Line (geometry)

    Line_(geometry)

  • Acylindrically hyperbolic group
  • an acylindrically hyperbolic group is a group admitting a non-elementary 'acylindrical' isometric action on some geodesic hyperbolic metric space. This

    Acylindrically hyperbolic group

    Acylindrically_hyperbolic_group

  • C mathematical functions
  • C standard library header file

    compatibility feature). Most of the mathematical functions, which use floating-point numbers, are defined in <math.h> (<cmath> header in C++). The functions

    C mathematical functions

    C_mathematical_functions

  • Hyperbolic navigation
  • Class of radio navigation systems

    Hyperbolic navigation is a class of radio navigation systems in which a navigation receiver instrument is used to determine location based on the difference

    Hyperbolic navigation

    Hyperbolic navigation

    Hyperbolic_navigation

  • Geometry
  • Branch of mathematics

    between points in the Euclidean plane, while the hyperbolic metric measures the distance in the hyperbolic plane. Other important examples of metrics include

    Geometry

    Geometry

  • Elliptic geometry
  • Non-Euclidean geometry

    non-Euclidean plane is said to be elliptic or hyperbolic according as each of its lines contains no point at infinity or two points at infinity. The elliptic

    Elliptic geometry

    Elliptic_geometry

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  • Hilton
  • Surname or Lastname

    English (Lancashire) and Scottish

    Hilton

    English (Lancashire) and Scottish : habitational name from any of various places so called. Most, including those in Cambridgeshire (formerly Huntingdonshire), Cleveland, Derbyshire, and Shropshire, get the name from Old English hyll ‘hill’ + tūn ‘enclosure’, ‘settlement’. Others, including those in Cumbria and Dorsetshire, have early forms in Hel- and probably have as their first element Old English hielde ‘slope’ or possibly helde ‘tansy’.English : some early examples such as Ralph filius Hilton (Yorkshire 1219) point to occasional derivation from a personal name, possibly a Norman name Hildun, composed of the Germanic elements hild ‘strife’, ‘battle’ + hūn ‘bear cub’. The English surname is present in Ireland (mostly taken to Ulster in the early 17th century, though recorded earlier in Dublin).

    Hilton

  • Edgington
  • Surname or Lastname

    English (West Midlands)

    Edgington

    English (West Midlands) : probably a habitational name, of uncertain origin. It may be from a lost place, so named as the ‘settlement (Old English tūn) associated with Ecgi’, a short form of the various compound names with the first element ecg ‘edge’, ‘point’ (of a weapon). Alternatively, it may be a variant of Erdington (see Edrington).

    Edgington

  • Pointon
  • Surname or Lastname

    English (Midlands)

    Pointon

    English (Midlands) : habitational name from Pointon in Lincolnshire, Poynton in Cheshire, or Poynton Green in Shropshire. The first is named from Old English Pohhingtūn ‘settlement (Old English tūn) associated with Pohha’, a byname apparently meaning ‘bag’; the others have as the first element the Old English personal names Pofa and Pēofa respectively.

    Pointon

  • Gayman
  • Surname or Lastname

    English

    Gayman

    English : occupational name meaning ‘servant of Gay’.French : from a Germanic personal name Gaidman or Gaidmar, of which the first element is gaida ‘point (of a lance)’.German (Gaymann) : variant of Gau 1, reinforced by the addition of man ‘man’.Americanized spelling of German Gehmann (see Gehman).

    Gayman

  • Endicott
  • Surname or Lastname

    English (Devon)

    Endicott

    English (Devon) : topographic name for someone who lived ‘at the end of the cottages’, from Middle English, Old English ende ‘end’ + cot ‘cottage’. One locality so named is Endicott in Cadbury, Devon; another is now called Youngcott, in Milton Abbot.John Endecott (1588–1665) was a prominent figure in the early history of MA, being one of the founding fathers of Salem, MA, in 1638. He served as governor of Massachusetts Bay Colony (1629–30), and worked harmoniously with his successor, John Winthrop, despite differences on points of religious doctrine. He served as governor again in 1644–45, 1649–50, 1651–54, and 1655–64, and as deputy governor in many of the intervening years. He is buried in the King’s Chapel Burying Ground in Boston.

    Endicott

  • Gee
  • Surname or Lastname

    Irish and Scottish

    Gee

    Irish and Scottish : reduced form of McGee, Anglicized form of Gaelic Mac Aodha ‘son of Aodh’ (see McCoy).English : this is a common name in northern England, of uncertain origin. The existence of a patronymic form Geeson points to a personal name, but this has not been satisfactorily identified. It may in fact be the Irish or Scottish name in an English context.French (Gée) : habitational name from any of several places called Gé or Gée, for example in Maine-et-Loire, derived from the Gallo-Roman domain name Gaiacum.

    Gee

  • Hazleton
  • Surname or Lastname

    English

    Hazleton

    English : habitational name from any of various places named with this word: Hazleton Bottom (Hertfordshire), Hazleton Wood (Essex), or Hazelton (Gloucestershire), which is named from Old English hæsel ‘hazel’ + tūn ‘farmstead’, ‘settlement’. The present-day distribution of the surname points to the places in Essex and Gloucester as the likely sources.

    Hazleton

  • Jeffrey
  • Surname or Lastname

    English

    Jeffrey

    English : from a Norman personal name that appears in Middle English as Geffrey and in Old French as Je(u)froi. Some authorities regard this as no more than a palatalized form of Godfrey, but early forms such as Galfridus and Gaufridus point to a first element from Germanic gala ‘to sing’ or gawi ‘region’, ‘territory’. It is possible that several originally distinct names have fallen together in the same form.

    Jeffrey

  • Govier
  • Surname or Lastname

    English (Devon)

    Govier

    English (Devon) : unexplained. It may be a variant of Gover, but early examples with a definite article, e.g. Richard le Gofiar (Somerset 1327), point to an origin as an occupational name or perhaps a nickname, from an unknown element.

    Govier

  • Imes
  • Surname or Lastname

    English

    Imes

    English : unexplained.Americanized spelling of German Eimes, a patronymic from a short form of the Germanic personal name Agimo, formed with agi ‘point (of a sword or lance)’ (Old High German ecka).

    Imes

  • Gad
  • Surname or Lastname

    English

    Gad

    English : variant spelling of Gadd.Danish : from a medieval nickname Gad meaning ‘sting’, ‘point’, or from the Biblical male personal name Gad.Muslim : from a personal name based on Arabic jād ‘serious’, ‘earnest’.

    Gad

  • Fitch
  • Surname or Lastname

    English

    Fitch

    English : of disputed origin. Reaney rejects the traditional explanation that it is a nickname derived from early modern English fitch ‘polecat’, as this word is not recorded in this form until the 16th century, whereas the byname or surname Fitchet is found as early as the 12th century. He proposes instead that the name may be from Old French fiche ‘stake’ (used as a boundary marker), but with the sense ‘iron point’, and so a metonymic occupational name for a workman who used an iron-pointed implement.The Fitches of CT, a wealthy and prominent family, were established in Norwalk, CT, before 1657 by Thomas Fitch (1612–1704). His great-grandson Thomas Fitch (c. 1700–74) was a lawyer and colonial governor of CT.

    Fitch

  • Egger
  • Surname or Lastname

    South German

    Egger

    South German : topographic name for someone who lived on a corner (either a street corner, or the corner of a valley running around a mountain), from an altered form of Eck + the suffix -er, denoting an inhabitant.Dutch and German : from a Germanic personal name composed of the elements agi ‘point (of a sword)’ + heri ‘army’.South German(Swabia) : occupational name for a farmer, from an agent derivative of eggen ‘to harrow’.English : variant of Edgar 1.

    Egger

  • Points
  • Surname or Lastname

    English (of Norman origin)

    Points

    English (of Norman origin) : from the medieval personal name Ponc(h)e, Pons (see Ponce).English (of Norman origin) : habitational name from Ponts in La Manche and Seine-Maritime, Normandy, from Latin pontes ‘bridges’ (see Pont).English (of Norman origin) : nickname for a fop or dandy, from points ‘laces for hose’ (see Pointer 1).

    Points

  • Pointer
  • Surname or Lastname

    English (Norfolk)

    Pointer

    English (Norfolk) : occupational name from Middle English pointer ‘point maker’, an agent derivative of point, a term denoting a lace or cord used to fasten together doublet and hose (Old French pointe ‘point’, ‘sharp end’). Reaney suggests that in some cases Pointer may have been an occupational name for a tiler or slater whose job was to point the tiles, i.e. render them with mortar where they overlapped.Possibly an altered form of German Pointner, a variant of Bainter.

    Pointer

  • Pintu | பீந்டு 
  • Boy/Male

    Tamil

    Pintu | பீந்டு 

    Point or full stop, Rocky

    Pintu | பீந்டு 

  • Josselyn
  • Surname or Lastname

    English

    Josselyn

    English : variant spelling of Joslin.The Josselyn name appears in Black Point (now Scarborough, ME) before 1638, when the author John Josselyn came to visit his brother Henry, who was for many years a principal representative in eastern New England of the interests of the Mason and Gorges heirs, which were endangered by the Massachusetts Bay colony’s expansion into Maine. Their father was Sir Thomas Josselyn, of Torrell’s Hall in Willingale, Essex, England.

    Josselyn

  • Mansell
  • Surname or Lastname

    English (chiefly West Midlands)

    Mansell

    English (chiefly West Midlands) : (of Norman origin): habitational or regional name from Old French mansel ‘inhabitant of Le Mans or the surrounding area of Maine’. The place was originally named in Latin (ad) Ceromannos, from the name of the Gaulish tribe living there, the Ceromanni. The name was reduced to Celmans and then became Le Mans as a result of the mistaken identification of the first syllable with the Old French demonstrative adjective.English (chiefly West Midlands) : status name for a particular type of feudal tenant, Anglo-Norman French mansel, one who occupied a manse (Late Latin mansa ‘dwelling’), a measure of land sufficient to support one family.English (chiefly West Midlands) : some early examples, such as Thomas filius Manselli (Northumbria 1256), point to derivation from a personal name, perhaps the Germanic derivative of Mann 2 Latinized as Manzellinus.

    Mansell

  • Kin
  • Surname or Lastname

    English

    Kin

    English : from a Middle English personal name, Kin, Kinna, which is a shortened form of any of various Old English names beginning with Cyne ‘royal’, for example Cynesige (see Kinsey).Dutch : nickname for someone with a pointed or jutting chin.Dutch : from Middle Dutch kinne ‘kin’.Hungarian : nickname from kín ‘pain’.Variant of Korean Kim.

    Kin

  • Praseeth | ப்ரஸித
  • Boy/Male

    Tamil

    Praseeth | ப்ரஸித

    Origin, Starting point

    Praseeth | ப்ரஸித

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Online names & meanings

  • Arvinda
  • Boy/Male

    Hindu, Indian, Kannada, Marathi, Telugu

    Arvinda

    Lotus

  • Madie
  • Girl/Female

    American, Australian, British, English, French

    Madie

    Woman of Magdala; From the High Tower

  • Parthipan
  • Boy/Male

    Hindu, Indian, Tamil

    Parthipan

    Arjun

  • Talihah
  • Girl/Female

    Arabic

    Talihah

    Scholar

  • Ashiah
  • Girl/Female

    Arabic, Indian, Sanskrit, Swahili

    Ashiah

    Hope; Woman; Life

  • Abdul Muttalib
  • Boy/Male

    Indian

    Abdul Muttalib

    Slave of the one who seeks

  • Fey
  • Surname or Lastname

    English

    Fey

    English : variant of Fay.Southern French : topographic name for someone who lived by a beech tree or beech wood.German : nickname for a vagrant, from Middle High German vēhe ‘enmity’, ‘strife’.German : from a popular medieval pet form of the female personal name Sophie, honored as a martyr and saint.Danish : unexplained.

  • Morrley
  • Boy/Male

    British, English

    Morrley

    From the Meadow on the Moor

  • Raghuraj
  • Boy/Male

    Hindu, Indian

    Raghuraj

    King of All

  • Andrei
  • Boy/Male

    Slavic Russian English

    Andrei

    Manly; brave.Andrew.

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AI searchs for Acronyms & meanings containing HYPERBOLIC POINT

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Other words and meanings similar to

HYPERBOLIC POINT

AI search in online dictionary sources & meanings containing HYPERBOLIC POINT

HYPERBOLIC POINT

  • Hyperbolized
  • imp. & p. p.

    of Hyperbolize

  • Hyperbola
  • n.

    A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus.

  • Hyperbolical
  • a.

    Belonging to the hyperbola; having the nature of the hyperbola.

  • Exaggeration
  • n.

    The act of exaggerating; the act of doing or representing in an excessive manner; a going beyond the bounds of truth reason, or justice; a hyperbolical representation; hyperbole; overstatement.

  • Hyperbolist
  • n.

    One who uses hyperboles.

  • Hyperboliform
  • a.

    Having the form, or nearly the form, of an hyperbola.

  • Auxesis
  • n.

    A figure by which a grave and magnificent word is put for the proper word; amplification; hyperbole.

  • Hyperbolic
  • a.

    Alt. of Hyperbolical

  • Hyperboloid
  • a.

    Having some property that belongs to an hyperboloid or hyperbola.

  • Hyperbolize
  • v. t.

    To state or represent hyperbolically.

  • Hyperbolizing
  • p. pr. & vb. n.

    of Hyperbolize

  • Hyperbole
  • n.

    A figure of speech in which the expression is an evident exaggeration of the meaning intended to be conveyed, or by which things are represented as much greater or less, better or worse, than they really are; a statement exaggerated fancifully, through excitement, or for effect.

  • Hyperbolically
  • adv.

    In the form of an hyperbola.

  • Hyperbolical
  • a.

    Relating to, containing, or of the nature of, hyperbole; exaggerating or diminishing beyond the fact; exceeding the truth; as, an hyperbolical expression.

  • Hyperbatic
  • a.

    Of or pertaining to an hyperbaton; transposed; inverted.

  • Meiosis
  • n.

    Diminution; a species of hyperbole, representing a thing as being less than it really is.

  • Hyperbolize
  • v. i.

    To speak or write with exaggeration.

  • Hyperthetical
  • a.

    Exaggerated; excessive; hyperbolical.

  • Hyperboloid
  • n.

    A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface.

  • Hyperbolism
  • n.

    The use of hyperbole.