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HYPERBOLIC SET

  • Hyperbolic set
  • entire manifold M is hyperbolic, the map f is called an Anosov diffeomorphism. The dynamics of f on a hyperbolic set, or hyperbolic dynamics, exhibits features

    Hyperbolic set

    Hyperbolic_set

  • 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

  • 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

  • Mandelbrot set
  • Fractal named after mathematician Benoit Mandelbrot

    density of hyperbolicity, is one of the most important open problems in complex dynamics. Hypothetical non-hyperbolic components of the Mandelbrot set are often

    Mandelbrot set

    Mandelbrot set

    Mandelbrot_set

  • Hyperbolic geometry
  • Type of non-Euclidean geometry

    In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate

    Hyperbolic geometry

    Hyperbolic geometry

    Hyperbolic_geometry

  • 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

    Hyperbolic equilibrium point

    Hyperbolic equilibrium point

    Hyperbolic_equilibrium_point

  • Normally hyperbolic invariant manifold
  • A normally hyperbolic invariant manifold (NHIM) is a natural generalization of a hyperbolic fixed point and a hyperbolic set. The difference can be described

    Normally hyperbolic invariant manifold

    Normally_hyperbolic_invariant_manifold

  • Attractor
  • Limiting set in dynamical systems

    then this attractor will be of finite dimensions. Cycle detection Hyperbolic set Stable manifold Steady state Wada basin Hidden oscillation Rössler attractor

    Attractor

    Attractor

    Attractor

  • 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

  • Uniform honeycombs in hyperbolic space
  • Tiling of hyperbolic 3-space by uniform polyhedra

    complete set of hyperbolic uniform honeycombs. More unsolved problems in mathematics In hyperbolic geometry, a uniform honeycomb in hyperbolic space is

    Uniform honeycombs in hyperbolic space

    Uniform honeycombs in hyperbolic space

    Uniform_honeycombs_in_hyperbolic_space

  • 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

  • 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 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

  • 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

  • Hyperbolic tree
  • Mathematical tree in the hyperbolic plane

    A hyperbolic tree (often shortened as hypertree) is an information visualization and graph drawing method inspired by hyperbolic geometry. Displaying hierarchical

    Hyperbolic tree

    Hyperbolic tree

    Hyperbolic_tree

  • Hyperbolic quaternion
  • Mutation of quaternions where unit vectors square to +1

    lectures at Lehigh University in 1900. Like the quaternions, the set of hyperbolic quaternions form a vector space over the real numbers of dimension

    Hyperbolic quaternion

    Hyperbolic_quaternion

  • Axiom A
  • Definition of a class of dynamical systems

    nonwandering set of f, Ω(f), is a hyperbolic set and compact. The set of periodic points of f is dense in Ω(f). For surfaces, hyperbolicity of the nonwandering

    Axiom A

    Axiom_A

  • Fractal
  • Infinitely detailed mathematical structure

    various scales, as illustrated in successive magnifications of the Mandelbrot set. This exhibition of similar patterns at increasingly smaller scales is called

    Fractal

    Fractal

    Fractal

  • 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

  • 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

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

    forms associated with metric geometry. In the former case, one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries

    Non-Euclidean geometry

    Non-Euclidean_geometry

  • 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

  • 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

  • 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

  • Tessellation
  • Covering by shapes without overlaps or gaps

    made use of tessellations, both in ordinary Euclidean geometry and in hyperbolic geometry, for artistic effect. Tessellations are sometimes employed for

    Tessellation

    Tessellation

    Tessellation

  • 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

  • Cantor set
  • Set of points on a line segment with certain topological properties

    automorphisms of the Cantor set are hyperbolic motions, particular isometries of the hyperbolic plane. Thus, the Cantor set is a homogeneous space in the

    Cantor set

    Cantor set

    Cantor_set

  • Thurston's 24 questions
  • 24 mathematical problems stated in 1982

    influential 1982 paper Three-dimensional manifolds, Kleinian groups and hyperbolic geometry published in the Bulletin of the American Mathematical Society

    Thurston's 24 questions

    Thurston's 24 questions

    Thurston's_24_questions

  • Diameter
  • Straight line segment that passes through the centre of a circle

    {\displaystyle n} -dimensional object, or a set of scattered points. The diameter of a set is the least upper bound of the set of all distances between pairs of

    Diameter

    Diameter

    Diameter

  • Limit cycle
  • Behavior in a nonlinear system

    hematopoiesis, as appearing in the Mackey-Glass equations. Attractor Hyperbolic set Periodic point Self-oscillation Stable manifold Phase reduction Thomas

    Limit cycle

    Limit cycle

    Limit_cycle

  • 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

  • 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

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

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

    Marilyn vos Savant

    Marilyn_vos_Savant

  • 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

  • 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

  • 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

  • Invariant manifold
  • Topological manifold that is invariant under the action of dynamical system

    non-autonomous dynamical systems are known as Lagrangian Coherent Structures. Hyperbolic set Lagrangian coherent structure Spectral submanifold Hirsh M.W., Pugh

    Invariant manifold

    Invariant_manifold

  • 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

  • Squeeze mapping
  • Linear map that preserves areas

    mapping as a hyperbolic rotation, as did Émile Borel in 1914, by analogy with circular rotations, which preserve circles. The squeeze mapping sets the stage

    Squeeze mapping

    Squeeze mapping

    Squeeze_mapping

  • Mordellic variety
  • conjectured that the complement of the special set is Mordellic. A variety is algebraically hyperbolic if the special set is empty. Lang conjectured that a variety

    Mordellic variety

    Mordellic_variety

  • 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

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

    given a pair of conjugate hyperbolas, two conjugate diameters are hyperbolically orthogonal. This relationship of diameters was described by Apollonius

    Hyperbolic orthogonality

    Hyperbolic orthogonality

    Hyperbolic_orthogonality

  • Riemann surface
  • One-dimensional complex manifold

    {\displaystyle \tau } and hence a torus. The set of all Riemann surfaces can be divided into three subsets: hyperbolic, parabolic and elliptic Riemann surfaces

    Riemann surface

    Riemann surface

    Riemann_surface

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

    }\times {r^{2}}} . Lexell's theorem also has a hyperbolic counterpart: instead of circles, the level sets become pairs of curves called hypercycles, and

    Sum of angles of a triangle

    Sum of angles of a triangle

    Sum_of_angles_of_a_triangle

  • Closed-form expression
  • Mathematical formula involving a given set of operations

    trigonometric functions, inverse trigonometric functions, hyperbolic functions, and inverse hyperbolic functions. The fundamental problem of symbolic integration

    Closed-form expression

    Closed-form_expression

  • Hyperbolic motion (relativity)
  • Motion of an object with constant proper acceleration in special relativity

    Hyperbolic motion is the motion of an object with constant proper acceleration in special relativity. It is called hyperbolic motion because the equation

    Hyperbolic motion (relativity)

    Hyperbolic motion (relativity)

    Hyperbolic_motion_(relativity)

  • 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

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

    approximating integrals Maximum and minimum Derivative test Hyperbolic equilibrium point Hyperbolic geometry Minimax theorem Max–min inequality Mountain pass

    Saddle point

    Saddle point

    Saddle_point

  • Integer
  • Number in {..., –2, –1, 0, 1, 2, ...}

    negative integers. The set of all integers is often denoted by the boldface Z or blackboard bold ⁠ Z {\displaystyle \mathbb {Z} } ⁠. The set of natural numbers

    Integer

    Integer

  • Euler equations (fluid dynamics)
  • Set of quasilinear hyperbolic equations governing adiabatic and inviscid flow

    On the other hand, the compressible Euler equations form a quasilinear hyperbolic system of conservation equations. The Euler equations can be formulated

    Euler equations (fluid dynamics)

    Euler equations (fluid dynamics)

    Euler_equations_(fluid_dynamics)

  • 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

  • Pythagorean theorem
  • Relation between sides of a right triangle

    where cosh is the hyperbolic cosine. This formula is a special form of the hyperbolic law of cosines that applies to all hyperbolic triangles: cosh ⁡

    Pythagorean theorem

    Pythagorean theorem

    Pythagorean_theorem

  • Ideal polyhedron
  • Shape in hyperbolic geometry

    rather than interior to three-dimensional hyperbolic space. It can be defined as the convex hull of a finite set of ideal points. An ideal polyhedron has

    Ideal polyhedron

    Ideal polyhedron

    Ideal_polyhedron

  • Hyperbolic 3-manifold
  • Manifold of dimension 3 equipped with a hyperbolic metric

    topology and differential geometry, a hyperbolic 3-manifold is a manifold of dimension 3 equipped with a hyperbolic metric, that is a Riemannian metric

    Hyperbolic 3-manifold

    Hyperbolic_3-manifold

  • 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

  • Light cone
  • Set of spacetime events, light-connected to a given event

    To uphold causality, Minkowski restricted spacetime to non-Euclidean hyperbolic geometry. Because signals and other causal influences cannot travel faster

    Light cone

    Light cone

    Light_cone

  • 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)

  • Modern Arabic mathematical notation
  • Mathematical notation based on the Arabic script

    the second word of دالة زائدية "hyperbolic function") is added to the end of trigonometric functions to express hyperbolic functions. This is similar to

    Modern Arabic mathematical notation

    Modern_Arabic_mathematical_notation

  • Point at infinity
  • Concept in geometry

    mapped to each point). In the case of a hyperbolic space, each line has two distinct ideal points. Here, the set of ideal points takes the form of a quadric

    Point at infinity

    Point at infinity

    Point_at_infinity

  • Relatively hyperbolic group
  • In mathematics, relatively hyperbolic groups form an important class of groups of interest for geometric group theory. The main purpose in their study

    Relatively hyperbolic group

    Relatively_hyperbolic_group

  • 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

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

    and Julia sets It is also possible to estimate the distance of a limitly periodic (i.e., hyperbolic) point to the boundary of the Mandelbrot set. The upper

    Plotting algorithms for the Mandelbrot set

    Plotting algorithms for the Mandelbrot set

    Plotting_algorithms_for_the_Mandelbrot_set

  • Solenoid (mathematics)
  • Class of compact connected topological spaces

    tube twice inside T with twisting, but without self-intersections. The hyperbolic set Λ of the discrete dynamical system (T, f) is the intersection of the

    Solenoid (mathematics)

    Solenoid (mathematics)

    Solenoid_(mathematics)

  • SL2(R)
  • Group of real 2×2 matrices with unit determinant

    form an open set, as do the hyperbolic elements (excluding ±1). By contrast, the parabolic elements, together with ±1, form a closed set that is not open

    SL2(R)

    SL2(R)

    SL2(R)

  • Inverse function
  • Mathematical concept

    the inverse of a hyperbolic function is indicated by the prefix "ar" (for Latin ārea). For instance, the inverse of the hyperbolic sine function is typically

    Inverse function

    Inverse function

    Inverse_function

  • Hyperbolic Dehn surgery
  • hyperbolic Dehn surgery is an operation by which one can obtain further hyperbolic 3-manifolds from a given cusped hyperbolic 3-manifold. Hyperbolic Dehn

    Hyperbolic Dehn surgery

    Hyperbolic_Dehn_surgery

  • Kleinian group
  • Discrete group of Möbius transformations

    discrete subgroup of the group of orientation-preserving isometries of hyperbolic 3-space H3. The latter, identifiable with PSL(2, C), is the quotient group

    Kleinian group

    Kleinian group

    Kleinian_group

  • Fuchsian group
  • Discrete subgroup of the real projective special linear group of dimension 2

    regarded equivalently as a group of orientation-preserving isometries of the hyperbolic plane, or conformal transformations of the unit disc, or conformal transformations

    Fuchsian group

    Fuchsian group

    Fuchsian_group

  • Tricorn (mathematics)
  • Mandelbar Set

    bifurcation from a hyperbolic component of odd period k to a hyperbolic component of period 2k occurs. Much like the Mandelbrot set, the tricorn has many

    Tricorn (mathematics)

    Tricorn (mathematics)

    Tricorn_(mathematics)

  • Versor
  • Quaternion of norm 1 (unit quaternion)

    saw the modelling power of hyperbolic versors operating on the split-complex number plane, and in 1891 he introduced hyperbolic quaternions to extend the

    Versor

    Versor

  • Coxeter–Dynkin diagram
  • Pictorial representation of symmetry

    alternations and some half symmetry version. In the hyperbolic plane [7,3], family produces a parallel set of uniform tilings, and their dual tilings. There

    Coxeter–Dynkin diagram

    Coxeter–Dynkin diagram

    Coxeter–Dynkin_diagram

  • Figure-eight knot (mathematics)
  • Unique knot with a crossing number of four

    Thurston showed that the figure-eight was hyperbolic, by decomposing its complement into two ideal hyperbolic tetrahedra. (Robert Riley and Troels Jørgensen

    Figure-eight knot (mathematics)

    Figure-eight knot (mathematics)

    Figure-eight_knot_(mathematics)

  • Boundary (topology)
  • All points in the topological closure not belonging to the interior

    mathematics in general, the boundary of a subset S of a topological space X is the set of points in the closure of S not belonging to the interior of S. An element

    Boundary (topology)

    Boundary (topology)

    Boundary_(topology)

  • Hyperboloid structure
  • Type of unbounded quadratic surface-shaped building or work

    amount of material. His design, as well as the full set of supporting calculations analyzing the hyperbolic geometry and sizing the network of members, was

    Hyperboloid structure

    Hyperboloid structure

    Hyperboloid_structure

  • Morse–Smale system
  • dynamical system whose non-wandering set consists of finitely many hyperbolic equilibrium points and hyperbolic periodic orbits and satisfying a transversality

    Morse–Smale system

    Morse–Smale_system

  • Melnikov distance
  • {\displaystyle dimW^{s}+dimW^{u}=n.} Then, M {\displaystyle M} contains a hyperbolic set Λ {\displaystyle \Lambda } , invariant under P {\displaystyle P} , on

    Melnikov distance

    Melnikov_distance

  • 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

  • Shadowing lemma
  • Lemma describing the behaviour of pseudo-orbits near a hyperbolic invariant set

    lemma is a lemma describing the behaviour of pseudo-orbits near a hyperbolic invariant set. Informally, the theory states that every pseudo-orbit (which one

    Shadowing lemma

    Shadowing_lemma

  • Geometric group theory
  • Area in mathematics devoted to the study of finitely generated groups

    Mikhail Gromov "Hyperbolic groups" that introduced the notion of a hyperbolic group (also known as word-hyperbolic or Gromov-hyperbolic or negatively curved

    Geometric group theory

    Geometric group theory

    Geometric_group_theory

  • Glossary of areas of mathematics
  • looking at hyperbolic space. hyperbolic trigonometry the study of hyperbolic triangles in hyperbolic geometry, or hyperbolic functions in Euclidean geometry

    Glossary of areas of mathematics

    Glossary_of_areas_of_mathematics

  • Hilbert's arithmetic of ends
  • of hyperbolic geometry, Hilbert's arithmetic of ends is a method for endowing a geometric set, the set of ideal points or "ends" of a hyperbolic plane

    Hilbert's arithmetic of ends

    Hilbert's_arithmetic_of_ends

  • Roe solver
  • computational domain. A non-linear system of hyperbolic partial differential equations representing a set of conservation laws in one spatial dimension

    Roe solver

    Roe_solver

  • 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

  • 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

  • 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

  • List of mathematical abbreviations
  • – inverse hyperbolic cosecant function. (Also written as arcsch.) arcosh – inverse hyperbolic cosine function. arcoth – inverse hyperbolic cotangent function

    List of mathematical abbreviations

    List_of_mathematical_abbreviations

  • 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

  • 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

  • Hyperbola
  • Plane curve: conic section

    cone Hyperbolic cylinder Hyperbolic paraboloid Hyperboloid of one sheet Hyperboloid of two sheets Elliptic cone Hyperbolic cylinder Hyperbolic paraboloid

    Hyperbola

    Hyperbola

    Hyperbola

  • Daina Taimiņa
  • Latvian mathematician

    mathematics at Cornell University, known for developing a way of modeling hyperbolic geometry with crocheted objects. Taimiņa received all of her formal education

    Daina Taimiņa

    Daina Taimiņa

    Daina_Taimiņa

  • Gabriel's horn
  • Geometric figure which has infinite surface area but finite volume

    paper De solido hyperbolico acuto, written in 1643, a truncated acute hyperbolic solid, cut by a plane. Volume 1, part 1 of his Opera geometrica published

    Gabriel's horn

    Gabriel's horn

    Gabriel's_horn

  • Arithmetic Fuchsian group
  • {PSL} _{2}(\mathbb {Z} )} . They, and the hyperbolic surface associated to their action on the hyperbolic plane often exhibit particularly regular behaviour

    Arithmetic Fuchsian group

    Arithmetic_Fuchsian_group

  • Ε-quadratic form
  • Mathematical concept

    is necessary. An easy example for an ε-quadratic form is the standard hyperbolic ε-quadratic form H ε ( R ) ∈ Q ε ( R ⊕ R ∗ ) {\displaystyle H_{\varepsilon

    Ε-quadratic form

    Ε-quadratic_form

  • Borromean rings
  • Three linked but pairwise separated rings

    n-colorings. As links, they are Brunnian, alternating, algebraic, and hyperbolic. In arithmetic topology, certain triples of prime numbers have analogous

    Borromean rings

    Borromean rings

    Borromean_rings

  • Pseudo-range multilateration
  • Navigation and surveillance technique

    TOAs are multiple and known. When MLAT is used for navigation (as in hyperbolic navigation), the waves are transmitted by the stations and received by

    Pseudo-range multilateration

    Pseudo-range_multilateration

  • Relativistic heat conduction
  • Model compatible with special relativity

    most important implication of the hyperbolic equation is that by switching from a parabolic (dissipative) to a hyperbolic (includes a conservative term)

    Relativistic heat conduction

    Relativistic_heat_conduction

  • Telegrapher's equations
  • Mathematical descriptions of transmission line voltage and current

    {\displaystyle x} ⁠, and some algebra, we obtain a pair of damped, dispersive hyperbolic partial differential equations each involving only one unknown: ∂ 2 ∂

    Telegrapher's equations

    Telegrapher's_equations

  • Transcendental function
  • Analytic function that does not satisfy a polynomial equation

    familiar transcendental functions are the exponential, trigonometric, and hyperbolic functions, and their inverses, such as the logarithm and inverse trigonometric

    Transcendental function

    Transcendental_function

  • James W. Cannon
  • American mathematician

    generalize to the word-hyperbolic group context. Now standard proofs of the fact that the set of geodesic words in a word-hyperbolic group is a regular language

    James W. Cannon

    James_W._Cannon

  • Circle Limit III
  • 1959 woodcut by M. C. Escher

    tessellation of the hyperbolic plane by right triangles with angles of 30°, 45°, and 90°; triangles with these angles are possible in hyperbolic geometry but

    Circle Limit III

    Circle_Limit_III

AI & ChatGPT searchs for online references containing HYPERBOLIC SET

HYPERBOLIC SET

AI search references containing HYPERBOLIC SET

HYPERBOLIC SET

  • Milton
  • Surname or Lastname

    English and Scottish

    Milton

    English and Scottish : habitational name from any of the numerous and widespread places so called. The majority of these are named with Old English middel ‘middle’ + tūn ‘enclosure’, ‘settlement’; a smaller group, with examples in Cumbria, Kent, Northamptonshire, Northumbria, Nottinghamshire, and Staffordshire, have as their first element Old English mylen ‘mill’.

    Milton

  • SETH
  • Male

    Hindi/Indian

    SETH

    (सेठ) Hindi name derived from the Sanskrit word setu, SETH means "bridge." Compare with other forms of Seth.

    SETH

  • SETHOS
  • Male

    Greek

    SETHOS

    (Σήθος) Greek form of Egyptian Sutekh, possibly SETHOS means "one who dazzles." In mythology, this is the name of an ancient evil god of Chaos, storms, and the desert, who slew Osiris. 

    SETHOS

  • Mitcham
  • Surname or Lastname

    English

    Mitcham

    English : habitational name from Mitcham in Surrey, so named from Old English micel ‘big’ + hām ‘homestead’, ‘settlement’.

    Mitcham

  • Milledge
  • Surname or Lastname

    English

    Milledge

    English : habitational name from Milwich in Staffordshire, so named from Old English myln ‘mill’ + wīc ‘dairy farm’; ‘(trading) settlement’.

    Milledge

  • Mepham
  • Surname or Lastname

    English

    Mepham

    English : habitational name from a place in Kent named Meopham, from an Old English personal name Mēapa + Old English hām ‘homestead’, ‘settlement’.

    Mepham

  • Setter
  • Surname or Lastname

    English

    Setter

    English : occupational name for a stone- or bricklayer, from Middle English setter ‘one who lays stones or bricks in building’ (agent derivative of setten ‘to set’).English : occupational name from Old French saietier ‘silk weaver’ (an agent derivative of sayete, a kind of silk).English : from an agent derivative of Middle English setten ‘to place (decoration, on a garment or metal surface)’, probably an occupational name for an embroiderer.German : unexplained.Norwegian : unexplained.

    Setter

  • Merton
  • Surname or Lastname

    English

    Merton

    English : habitational name from places called Merton in London, Devon, Norfolk, and Oxfordshire, named in Old English with mere ‘lake’, ‘pool’ + tūn ‘enclosure’, ‘settlement’. Compare Marton, Martin 2.

    Merton

  • Mill
  • Surname or Lastname

    Scottish and English

    Mill

    Scottish and English : topographic name for someone who lived near a mill, Middle English mille, milne (Old English myl(e)n, from Latin molina, a derivative of molere ‘to grind’). It was usually in effect an occupational name for a worker at a mill or for the miller himself. The mill, whether powered by water, wind, or (occasionally) animals, was an important center in every medieval settlement; it was normally operated by an agent of the local landowner, and individual peasants were compelled to come to him to have their grain ground into flour, a proportion of the ground grain being kept by the miller by way of payment.English : from a short form of a personal name, probably female, as for example Millicent.

    Mill

  • Middleton
  • Surname or Lastname

    English and Scottish

    Middleton

    English and Scottish : habitational name from any of the places so called. In over thirty instances from many different areas, the name is from Old English midel ‘middle’ + tūn ‘enclosure’, ‘settlement’. However, Middleton on the Hill near Leominster in Herefordshire appears in Domesday Book as Miceltune, the first element clearly being Old English micel ‘large’, ‘great’. Middleton Baggot and Middleton Priors in Shropshire have early spellings that suggest gem̄ðhyll (from gem̄ð ‘confluence’ + hyll ‘hill’) + tūn as the origin.A Scottish family of this name derives it from lands at Middleto(u)n near Kincardine. The Scottish physician Peter Middleton practiced in New York City after 1752 and was one of the founders of the medical school at King's College (now Columbia University) in 1767. One of the earliest of the Charleston, SC, Middleton family of prominent legislators was Arthur Middleton, born in Charleston in 1681.

    Middleton

  • SETH
  • Male

    English

    SETH

    Anglicized form of Hebrew Sheth, SETH means "buttocks." In the bible, this is the name of the third son of Adam and Eve. Compare with other forms of Seth.

    SETH

  • SETHI
  • Male

    Greek

    SETHI

    (Σήθι) Greek form of Egyptian Seti, SETHI means "of Seth." 

    SETHI

  • Mitton
  • Surname or Lastname

    English

    Mitton

    English : topographic name for someone who lived in the center of a village, from Middle English midde ‘mid’ + toun ‘village’, ‘town’.English : habitational name from places in Lancashire, Worcestershire, and West Yorkshire, so named in Old English as ‘farmstead at a river confluence’, from (ge)m̄ðe ‘river confluence’ + tūn ‘farmstead’, ‘settlement’.

    Mitton

  • SETSUKO
  • Female

    Japanese

    SETSUKO

    (節子) Japanese name SETSUKO means "temperate child."

    SETSUKO

  • Millington
  • Surname or Lastname

    English

    Millington

    English : habitational name from places in Cheshire and East Yorkshire, so named from Old English mylen ‘mill’ + tūn ‘enclosure’, ‘settlement’.

    Millington

  • Mayo
  • Surname or Lastname

    English and Irish

    Mayo

    English and Irish : variant of Mayhew.Variant of French Mailhot.A William Mayo born in Wiltshire, England, c. 1684 was a surveyor who settled in VA about 1623 and helped survey the VA-NC boundary and found Richmond and Petersburg, VA. [newpara]The Mayo Clinic in Rochester, MN, was founded by William Worrall Mayo (1819–1911), who immigrated to the U.S. from England, in 1845, and his sons, all gifted and innovative physicians and surgeons.

    Mayo

  • Minton
  • Surname or Lastname

    English

    Minton

    English : habitational name from a place in Shropshire, so named from Welsh mynydd ‘hill’ + Old English tūn ‘enclosure’, ‘settlement’.

    Minton

  • SETTIMIO
  • Male

    Italian

    SETTIMIO

    Italian form of Roman Latin Septimus, SETTIMIO means "seventh."

    SETTIMIO

  • Settle
  • Surname or Lastname

    English

    Settle

    English : habitational name from a place in North Yorkshire, so named from Old English setl ‘seat’, ‘dwelling’.

    Settle

  • Setters
  • Surname or Lastname

    English

    Setters

    English : patronymic from Setter.

    Setters

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Online names & meanings

  • Burr
  • Boy/Male

    Scandinavian American Norse Swedish

    Burr

    Youth.

  • Headman
  • Surname or Lastname

    English

    Headman

    English : status name from Middle English hefdman ‘chief’, ‘headman’, ‘leader’ (Old English hēfodman).

  • Manosh
  • Boy/Male

    Hindu, Indian, Kerala, Malayalam, Modern, Traditional

    Manosh

    Strong-willed; Practical; Stubborn

  • Ruthu
  • Girl/Female

    Gujarati, Hindu, Indian, Kannada

    Ruthu

    Season

  • Vaijayantimala
  • Girl/Female

    Hindu

    Vaijayantimala

    A garland of Lord Vishnu

  • Annas
  • Surname or Lastname

    English

    Annas

    English : variant spelling of Annis.

  • Sarla | ஸரலா
  • Girl/Female

    Tamil

    Sarla | ஸரலா

    Simple, Straight forward

  • Smirti
  • Girl/Female

    Hindu

    Smirti

    Recollection

  • Lakshanya
  • Girl/Female

    Hindu, Indian, Malayalam, Marathi, Tamil

    Lakshanya

    The One who Achieves in Life; Goddess Lakshmi

  • Vinci
  • Boy/Male

    Australian, Latin

    Vinci

    Conqueror

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Other words and meanings similar to

HYPERBOLIC SET

AI search in online dictionary sources & meanings containing HYPERBOLIC SET

HYPERBOLIC SET

  • Hyperbatic
  • a.

    Of or pertaining to an hyperbaton; transposed; inverted.

  • Hyperbolize
  • v. t.

    To state or represent hyperbolically.

  • Hyperbolized
  • imp. & p. p.

    of Hyperbolize

  • 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.

  • Hyperbolic
  • a.

    Alt. of Hyperbolical

  • Hyperthetical
  • a.

    Exaggerated; excessive; hyperbolical.

  • 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.

  • Hyperbolical
  • a.

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

  • Hyperbolism
  • n.

    The use of hyperbole.

  • Hyperbolical
  • a.

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

  • 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.

  • Hyperbolize
  • v. i.

    To speak or write with exaggeration.

  • Hyperboliform
  • a.

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

  • Hyperbolist
  • n.

    One who uses hyperboles.

  • 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.

  • Hyperbolizing
  • p. pr. & vb. n.

    of Hyperbolize

  • Hyperbolically
  • adv.

    In the form of an hyperbola.

  • Meiosis
  • n.

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

  • Auxesis
  • n.

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

  • Hyperboloid
  • a.

    Having some property that belongs to an hyperboloid or hyperbola.