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ELLIPTIC FUNCTION

  • Elliptic function
  • Class of periodic mathematical functions

    analysis, elliptic functions are special kinds of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because

    Elliptic function

    Elliptic_function

  • Weierstrass elliptic function
  • Class of mathematical functions

    Weierstrass elliptic functions are elliptic functions that take a particularly simple form. They are named for Karl Weierstrass. This class of functions is also

    Weierstrass elliptic function

    Weierstrass elliptic function

    Weierstrass_elliptic_function

  • Jacobi elliptic functions
  • Mathematical function

    In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum, as

    Jacobi elliptic functions

    Jacobi_elliptic_functions

  • Lemniscate elliptic functions
  • Mathematical functions

    In mathematics, the lemniscate elliptic functions are elliptic functions related to the arc length of the lemniscate of Bernoulli. They were first studied

    Lemniscate elliptic functions

    Lemniscate elliptic functions

    Lemniscate_elliptic_functions

  • Elliptic integral
  • Special function defined by an integral

    In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals, which were first studied

    Elliptic integral

    Elliptic_integral

  • Elliptic curve
  • Algebraic curve in mathematics

    mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined

    Elliptic curve

    Elliptic curve

    Elliptic_curve

  • Abel elliptic functions
  • In mathematics Abel elliptic functions are a special kind of elliptic functions, that were established by the Norwegian mathematician Niels Henrik Abel

    Abel elliptic functions

    Abel_elliptic_functions

  • Dixon elliptic functions
  • In mathematics, the Dixon elliptic functions sm and cm are two elliptic functions (doubly periodic meromorphic functions on the complex plane) that map

    Dixon elliptic functions

    Dixon elliptic functions

    Dixon_elliptic_functions

  • Elliptic filter
  • Signal processing filter

    filter becomes a Butterworth filter. The gain of a lowpass elliptic filter as a function of angular frequency ω is given by: G n ( ω ) = 1 1 + ϵ 2 R

    Elliptic filter

    Elliptic_filter

  • Elliptic gamma function
  • Mathematic function

    mathematics, the elliptic gamma function is a generalization of the q-gamma function, which is itself the q-analog of the ordinary gamma function. It is closely

    Elliptic gamma function

    Elliptic_gamma_function

  • Modular form
  • Analytic function on the upper half-plane with a certain behavior under the modular group

    j(z) of an elliptic curve, regarded as a function on the set of all elliptic curves, is a modular function. More concep­tually, modular functions can be thought

    Modular form

    Modular_form

  • List of mathematical functions
  • Elliptic functions: The inverses of elliptic integrals; used to model double-periodic phenomena. Jacobi's elliptic functions Weierstrass's elliptic functions

    List of mathematical functions

    List_of_mathematical_functions

  • J-invariant
  • Modular function in mathematics

    the elliptic curve y 2 = 4 x 3 − g 2 ( τ ) x − g 3 ( τ ) {\displaystyle y^{2}=4x^{3}-g_{2}(\tau )x-g_{3}(\tau )} (see Weierstrass elliptic functions). Note

    J-invariant

    J-invariant

    J-invariant

  • Theta function
  • Special functions of several complex variables

    properties of elliptic curves?" and others, including abelian varieties, moduli spaces, quadratic forms, and solitons. Theta functions in two dimensions

    Theta function

    Theta function

    Theta_function

  • List of periodic functions
  • Spirograph (special case of the hypotrochoid) Jacobi's elliptic functions Weierstrass's elliptic function Formulae are given as Taylor series or derived from

    List of periodic functions

    List_of_periodic_functions

  • Modular lambda function
  • Symmetric holomorphic function

    square of the elliptic modulus, that is, λ ( τ ) = k 2 ( τ ) {\displaystyle \lambda (\tau )=k^{2}(\tau )} . In terms of the Dedekind eta function η ( τ ) {\displaystyle

    Modular lambda function

    Modular lambda function

    Modular_lambda_function

  • Weierstrass functions
  • Mathematical functions related to Weierstrass's elliptic function

    mathematics, the Weierstrass functions are special functions of a complex variable that are auxiliary to the Weierstrass elliptic function. They are named for

    Weierstrass functions

    Weierstrass_functions

  • Pendulum (mechanics)
  • Free swinging suspended body

    solution. The Jacobian elliptic function that expresses the position of a pendulum as a function of time is a doubly periodic function with a real period

    Pendulum (mechanics)

    Pendulum (mechanics)

    Pendulum_(mechanics)

  • Elliptic rational functions
  • mathematics the elliptic rational functions are a sequence of rational functions with real coefficients. Elliptic rational functions are extensively used

    Elliptic rational functions

    Elliptic rational functions

    Elliptic_rational_functions

  • Sigma function
  • Topics referred to by the same term

    Weierstrass sigma function, related to elliptic functions Rado's sigma function, see busy beaver See also sigmoid function. This disambiguation page lists mathematics

    Sigma function

    Sigma_function

  • Elliptic hypergeometric series
  • Elliptic analog of hypergeometric series

    In mathematics, an elliptic hypergeometric series is a series Σcn such that the ratio cn/cn−1 is an elliptic function of n, analogous to generalized hypergeometric

    Elliptic hypergeometric series

    Elliptic_hypergeometric_series

  • Hyperelliptic curve
  • Algebraic curve

    function is an element of the function field of such a curve, or of the Jacobian variety on the curve; these two concepts are identical for elliptic functions

    Hyperelliptic curve

    Hyperelliptic curve

    Hyperelliptic_curve

  • L-function
  • Meromorphic function on the complex plane

    An L-function is a meromorphic function on the complex plane, and one out of several categories of mathematical objects studied in analytic number theory

    L-function

    L-function

    L-function

  • Ramanujan theta function
  • Mathematical function

    particularly q-analog theory, the Ramanujan theta function generalizes the form of the Jacobi theta functions, while capturing their general properties. In

    Ramanujan theta function

    Ramanujan_theta_function

  • Nome (mathematics)
  • Special mathematical function

    specifically the theory of elliptic functions, the nome is a special function that belongs to the non-elementary functions. This function is of great importance

    Nome (mathematics)

    Nome_(mathematics)

  • Doubly periodic function
  • Function with two complex number "periods"

    function with just one zero. Elliptic function Abel elliptic functions Jacobi elliptic functions Weierstrass elliptic functions Lemniscate elliptic functions

    Doubly periodic function

    Doubly_periodic_function

  • Dedekind eta function
  • Mathematical function

    forms. In particular the modular discriminant of the Weierstrass elliptic function with ω 2 = τ ω 1 {\displaystyle \omega _{2}=\tau \omega _{1}} can

    Dedekind eta function

    Dedekind_eta_function

  • Elliptic Curve Digital Signature Algorithm
  • Cryptographic algorithm for digital signatures

    cryptography, the Elliptic Curve Digital Signature Algorithm (ECDSA) offers a variant of the Digital Signature Algorithm (DSA) which uses elliptic-curve cryptography

    Elliptic Curve Digital Signature Algorithm

    Elliptic_Curve_Digital_Signature_Algorithm

  • Carl Gustav Jacob Jacobi
  • German mathematician (1804–1851)

    was a German mathematician who made fundamental contributions to elliptic functions, dynamics, differential equations, determinants and number theory

    Carl Gustav Jacob Jacobi

    Carl Gustav Jacob Jacobi

    Carl_Gustav_Jacob_Jacobi

  • Lemniscate of Bernoulli
  • Plane algebraic curve

    the lemniscate leads to elliptic integrals, as was discovered in the eighteenth century. Around 1800, the elliptic functions inverting those integrals

    Lemniscate of Bernoulli

    Lemniscate of Bernoulli

    Lemniscate_of_Bernoulli

  • Lamé function
  • Solutions of Lamé's equation

    the elliptic sine function, and κ 2 = n ( n + 1 ) k 2 {\displaystyle \kappa ^{2}=n(n+1)k^{2}} for an integer n and k {\displaystyle k} the elliptic modulus

    Lamé function

    Lamé_function

  • Taylor series
  • Mathematical approximation of a function

    )^{4}}}x^{2n}\end{aligned}}} The Jacobi theta functions describe the world of the elliptic modular functions and they have these Taylor series: ϑ 00 ( x

    Taylor series

    Taylor series

    Taylor_series

  • Elliptic-curve Diffie–Hellman
  • Key agreement protocol

    Elliptic-curve Diffie–Hellman (ECDH) is a key agreement protocol that allows two parties, each having an elliptic-curve public–private key pair, to establish

    Elliptic-curve Diffie–Hellman

    Elliptic-curve_Diffie–Hellman

  • DC
  • Topics referred to by the same term

    Core, a metadata standard Dynamic contrast, an LCD technology dc (elliptic function), in complex analysis Axiom of dependent choice, in set theory DC

    DC

    DC

  • Elementary function
  • Type of mathematical function

    as the error function and the elliptic integrals, were elementary functions of the second kind; their inverses, the elliptic functions, were considered

    Elementary function

    Elementary_function

  • Schwarzschild geodesics
  • Paths of particles in the Schwarzschild solution to Einstein's field equations

    particle in the Schwarzschild metric can be expressed in terms of elliptic functions. Samuil Kaplan in 1949 has shown that there is a minimum radius for

    Schwarzschild geodesics

    Schwarzschild_geodesics

  • Complex multiplication
  • Theory of a class of elliptic curves

    theory of elliptic curves E that have an endomorphism ring larger than the integers. Put another way, it contains the theory of elliptic functions with extra

    Complex multiplication

    Complex_multiplication

  • Sine and cosine
  • Fundamental trigonometric functions

    elliptic functions Euler's formula Generalized trigonometry Hyperbolic function Lemniscate elliptic functions Law of sines List of periodic functions

    Sine and cosine

    Sine and cosine

    Sine_and_cosine

  • Carl Friedrich Gauss
  • German polymath and scholar (1777–1855)

    his work on elliptic function theory; however, Gauss cast his argument in a formal way that does not reveal its origin in elliptic function theory, and

    Carl Friedrich Gauss

    Carl Friedrich Gauss

    Carl_Friedrich_Gauss

  • Riemann surface
  • One-dimensional complex manifold

    (z),\wp '(z))} , where ℘ {\displaystyle \wp } is the Weierstrass elliptic function. Likewise, genus g {\displaystyle g} surfaces have Riemann surface

    Riemann surface

    Riemann surface

    Riemann_surface

  • Hilbert's twelfth problem
  • Problem about mathematical number fields

    the case of any imaginary quadratic field, by using modular functions and elliptic functions chosen with a particular period lattice related to the field

    Hilbert's twelfth problem

    Hilbert's_twelfth_problem

  • Hasse–Weil zeta function
  • Mathematical function associated to algebraic varieties

    global L-function; this would be a vast generalisation of the Taniyama-Weil conjecture, itself an important result in number theory. For an elliptic curve

    Hasse–Weil zeta function

    Hasse–Weil_zeta_function

  • Mathieu function
  • Special function occurring in problems possessing elliptic symmetry

    equation (PDE) boundary value problems possessing elliptic symmetry. In some usages, Mathieu function refers to solutions of the Mathieu differential equation

    Mathieu function

    Mathieu_function

  • Cnoidal wave
  • Nonlinear and exact periodic wave solution of the Korteweg–de Vries equation

    Korteweg–de Vries equation. These solutions are in terms of the Jacobi elliptic function cn, which is why they are coined cnoidal waves. They are used to describe

    Cnoidal wave

    Cnoidal wave

    Cnoidal_wave

  • Liouville's theorem (complex analysis)
  • Theorem in complex analysis

    theory of elliptic functions. In fact, it was Cauchy who proved Liouville's theorem. If f {\displaystyle f} is a non-constant entire function, then its

    Liouville's theorem (complex analysis)

    Liouville's theorem (complex analysis)

    Liouville's_theorem_(complex_analysis)

  • Zolotarev polynomials
  • Polynomials used in approximation theory

    Jacobi elliptic modulus sn ⁡ ( φ | κ ) {\displaystyle \operatorname {sn} (\varphi |\kappa )} is the Jacobi elliptic sine. The variation of the function within

    Zolotarev polynomials

    Zolotarev_polynomials

  • CN
  • Topics referred to by the same term

    a cyclic group Cn, a classical root system cn (elliptic function), one of Jacobi's elliptic functions Carrier-to-noise ratio C/N, the signal-to-noise

    CN

    CN

  • Mathieu wavelet
  • Mathieu equations, in his “Memoir on vibrations of an elliptic membrane” in 1868. "Mathieu functions are applicable to a wide variety of physical phenomena

    Mathieu wavelet

    Mathieu_wavelet

  • Picard–Fuchs equation
  • Mathematical equation

    It has two linearly independent solutions, called the periods of elliptic functions. The ratio of the two periods is equal to the period ratio τ, the

    Picard–Fuchs equation

    Picard–Fuchs_equation

  • Half-period ratio
  • Elliptic functions

    In mathematics, the half-period ratio τ of an elliptic function is the ratio τ = ω 2 ω 1 {\displaystyle \tau ={\frac {\omega _{2}}{\omega _{1}}}} of the

    Half-period ratio

    Half-period_ratio

  • Microstrip
  • Conductor–ground plane electrical transmission line

    using elliptic integrals and jacobi elliptic functions. Smith uses the third fast Jacobi elliptic function estimation algorithm found in the elliptic functions

    Microstrip

    Microstrip

    Microstrip

  • Legendre's relation
  • a relation between complete elliptic integrals, or as a relation between periods and quasiperiods of elliptic functions. The two forms are equivalent

    Legendre's relation

    Legendre's_relation

  • Elliptic partial differential equation
  • Class of partial differential equations

    and G are functions of ( x , y ) {\displaystyle (x,y)} , using subscript notation for the partial derivatives. The PDE is called elliptic if B 2 − A

    Elliptic partial differential equation

    Elliptic_partial_differential_equation

  • Elliptic operator
  • Type of differential operator

    smooth functions (if the coefficients in the operator are smooth). Steady-state solutions to hyperbolic and parabolic equations generally solve elliptic equations

    Elliptic operator

    Elliptic operator

    Elliptic_operator

  • Elliptic unit
  • Modular unit in mathematics

    mathematics, elliptic units are certain units of abelian extensions of imaginary quadratic fields constructed using singular values of modular functions, or division

    Elliptic unit

    Elliptic_unit

  • SD
  • Topics referred to by the same term

    Stable Diffusion, a text-to-image generator sd (elliptic function), one of Jacobi's elliptic functions Standard deviation (SD), a statistical measure of

    SD

    SD

  • Automorphic form
  • Type of generalization of periodic functions in Euclidean space

    automorphic functions can be seen as generalizations of modular forms (as therefore elliptic curves), constructed by some zeta function analogue on an

    Automorphic form

    Automorphic_form

  • Neville theta functions
  • _{3}^{2}(0|\tau )} . The Neville theta functions are related to the Jacobi elliptic functions. If pq(u,m) is a Jacobi elliptic function (p and q are one of s,c,n,d)

    Neville theta functions

    Neville_theta_functions

  • Convex function
  • Real function with secant line between points above the graph itself

    corresponding norm. Some authors, such as refer to functions satisfying this inequality as elliptic functions. An equivalent condition is the following: f (

    Convex function

    Convex function

    Convex_function

  • Niels Henrik Abel
  • Norwegian mathematician (1802–1829)

    years. He was also an innovator in the field of elliptic functions and the discoverer of Abelian functions. He made his discoveries while living in poverty

    Niels Henrik Abel

    Niels Henrik Abel

    Niels_Henrik_Abel

  • Fundamental pair of periods
  • Way of defining a lattice in the complex plane

    complex plane. This type of lattice is the underlying object with which elliptic functions and modular forms are defined. A fundamental pair of periods is a

    Fundamental pair of periods

    Fundamental pair of periods

    Fundamental_pair_of_periods

  • List of complex analysis topics
  • ratio Jacobi's elliptic functions Weierstrass's elliptic functions Theta function Elliptic modular function J-function Modular function Modular form Analytic

    List of complex analysis topics

    List_of_complex_analysis_topics

  • SC
  • Topics referred to by the same term

    personal luxury car Bitter SC, a luxury car sc (elliptic function), one of Jacobi's elliptic functions Scandium, symbol Sc, a chemical element Schmidt

    SC

    SC

  • Periodic function
  • Function with a repeating pattern

    }{k}}} . A function on the complex plane can have two distinct, incommensurate periods without being a constant function. The elliptic functions are a primary

    Periodic function

    Periodic function

    Periodic_function

  • Adrien-Marie Legendre
  • French mathematician (1752–1833)

    work on elliptic functions, including the classification of elliptic integrals, but it took Abel's study of the inverses of Jacobi's functions to solve

    Adrien-Marie Legendre

    Adrien-Marie Legendre

    Adrien-Marie_Legendre

  • Differential of the first kind
  • Term used in the theories of Riemann surfaces and algebraic curves

    Weierstrass zeta function was called an integral of the second kind in elliptic function theory; it is a logarithmic derivative of a theta function, and therefore

    Differential of the first kind

    Differential_of_the_first_kind

  • Elliptic curve point multiplication
  • Mathematical operation on points on an elliptic curve

    Elliptic curve scalar multiplication is the operation of successively adding a point along an elliptic curve to itself repeatedly. It is used in elliptic

    Elliptic curve point multiplication

    Elliptic_curve_point_multiplication

  • DS
  • Topics referred to by the same term

    DualShock, line of gamepads for PlayStation ds (elliptic function), one of Jacobi's elliptic functions De Sitter space (dS) Down syndrome, a genetic disorder

    DS

    DS

  • Karl Weierstrass
  • German mathematician (1815–1897)

    attended the lectures of Christoph Gudermann and became interested in elliptic functions. In 1843 he taught in Deutsch Krone in West Prussia, and from 1848

    Karl Weierstrass

    Karl Weierstrass

    Karl_Weierstrass

  • Zeta function (operator)
  • The zeta function of a mathematical operator O {\displaystyle {\mathcal {O}}} is a function defined as ζ O ( s ) = tr O − s {\displaystyle \zeta _{\mathcal

    Zeta function (operator)

    Zeta_function_(operator)

  • Mathematical Alphanumeric Symbols
  • Unicode block

    P is a symbol for Weierstrass's elliptic function. It is officially aliased as U+2118 ℘ WEIERSTRASS ELLIPTIC FUNCTION. Variation selectors may be used

    Mathematical Alphanumeric Symbols

    Mathematical_Alphanumeric_Symbols

  • Arithmetic–geometric mean
  • Mathematical function of two positive real arguments

    elliptic integrals, which are used, for example, in elliptic filter design. The arithmetic–geometric mean is connected to the Jacobi theta function θ

    Arithmetic–geometric mean

    Arithmetic–geometric mean

    Arithmetic–geometric_mean

  • Peirce quincuncial projection
  • Conformal map projection

    {2}}\operatorname {sl} \left(w\right)} is the lemniscatic sine function (see Lemniscate elliptic functions). According to Peirce, his projection has the following

    Peirce quincuncial projection

    Peirce quincuncial projection

    Peirce_quincuncial_projection

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

    R) important in the study of lattices in the complex plane, elliptic functions and elliptic curves. The discrete subgroups of PSL(2, R) are known as Fuchsian

    Möbius transformation

    Möbius_transformation

  • CS
  • Topics referred to by the same term

    general-purpose, multi-paradigm programming language cs (elliptic function), one of Jacobi's elliptic functions Carbon steel Cirrostratus cloud Citizen science

    CS

    CS

  • Fundamenta nova theoriae functionum ellipticarum
  • 1829 book on mathematics by Carl G.J. Jacobi

    (from Latin: New Foundations of the Theory of Elliptic Functions) is a treatise on elliptic functions by German mathematician Carl Gustav Jacob Jacobi

    Fundamenta nova theoriae functionum ellipticarum

    Fundamenta_nova_theoriae_functionum_ellipticarum

  • SN
  • Topics referred to by the same term

    Protocol Symmetric group or Sn n-sphere or Sn sn (elliptic function), one of Jacobi's elliptic functions SN, METAR code for snow Spotter Network, a system

    SN

    SN

  • Wavelength
  • Distance over which a wave's shape repeats

    a traveling wave so named because it is described by the Jacobi elliptic function of mth order, usually denoted as cn(x; m). Large-amplitude ocean waves

    Wavelength

    Wavelength

    Wavelength

  • Ferdinand Georg Frobenius
  • German mathematician (1849–1917)

    mathematician, best known for his contributions to the theory of elliptic functions, differential equations, number theory, and to group theory. He is

    Ferdinand Georg Frobenius

    Ferdinand Georg Frobenius

    Ferdinand_Georg_Frobenius

  • NC
  • Topics referred to by the same term

    radioactivity, nuclear processes and nuclear properties nc (elliptic function), one of Jacobi's elliptic functions National coarse, a Unified Thread Standard for screws

    NC

    NC

  • DN
  • Topics referred to by the same term

    Nameserver DOS Navigator, a DOS file manager dn (elliptic function), one of Jacobi's elliptic functions Dn, a Coxeter–Dynkin diagram Dn, a dihedral group

    DN

    DN

  • Elliptic-curve cryptography
  • Approach to public-key cryptography

    Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC

    Elliptic-curve cryptography

    Elliptic-curve_cryptography

  • Birch and Swinnerton-Dyer conjecture
  • Unproved conjecture in mathematics

    with an elliptic curve E {\displaystyle E} over a number field K {\displaystyle K} and the behaviour of its associated Hasse–Weil L-function L ( E , s

    Birch and Swinnerton-Dyer conjecture

    Birch_and_Swinnerton-Dyer_conjecture

  • Landen's transformation
  • Mathematical method in elliptic functions

    mapping of the parameters of an elliptic integral, useful for the efficient numerical evaluation of elliptic functions. It was originally due to John Landen

    Landen's transformation

    Landen's transformation

    Landen's_transformation

  • Rogers–Ramanujan identities
  • Mathematical identities related to integer partitions

    An elliptic function is a modular function if this function in dependence on the elliptic nome as an internal variable function results in a function, which

    Rogers–Ramanujan identities

    Rogers–Ramanujan_identities

  • List of mathematical series
  • )^{4}}}x^{2n}\end{aligned}}} The Jacobi theta functions describe the world of the elliptic modular functions and they have these Taylor series: ϑ 00 ( x

    List of mathematical series

    List_of_mathematical_series

  • Modular group
  • Orientation-preserving mapping class group of the torus

    in GL(2, Z). It is for this reason that doubly periodic functions, such as elliptic functions, possess a modular group symmetry. The action of the modular

    Modular group

    Modular group

    Modular_group

  • Bi-elliptic transfer
  • Type of orbital maneuver

    In astronautics and aerospace engineering, the bi-elliptic transfer is an orbital maneuver that moves a spacecraft from one orbit to another and may, in

    Bi-elliptic transfer

    Bi-elliptic transfer

    Bi-elliptic_transfer

  • NS
  • Topics referred to by the same term

    (or "ns-2"), an open source network simulator ns (elliptic function), one of Jacobi's elliptic functions NS, the Néron–Severi group Nanosecond (abbreviated

    NS

    NS

  • Approximation
  • Something roughly the same as something else

    mathematician Alfred Greenhill in 1892, in his book Applications of Elliptic Functions. Typical meanings of LaTeX symbols. ≈ {\displaystyle \approx } (\approx) :

    Approximation

    Approximation

  • ND
  • Topics referred to by the same term

    and proposed dismantling of nuclear weapons nd (elliptic function), one of Jacobi's elliptic functions NADH dehydrogenase, an enzyme Non-distended, an

    ND

    ND

  • Modular curve
  • Algebraic variety

    "best models" can be very different from those taken directly from elliptic function theory. Hecke operators may be studied geometrically, as correspondences

    Modular curve

    Modular_curve

  • Delta function (disambiguation)
  • Topics referred to by the same term

    function in Weierstrass's elliptic functions Delta function potential, in quantum mechanics, a potential well described by the Dirac delta function Delta-functor

    Delta function (disambiguation)

    Delta_function_(disambiguation)

  • SL
  • Topics referred to by the same term

    (complexity), a class of computational complexity sl (elliptic function), sine lemniscate function Special linear group in mathematics, denoted SLn or SL(n)

    SL

    SL

  • Special functions
  • Mathematical functions having established names and notations

    nineteenth century. The high point of special function theory in 1800–1900 was the theory of elliptic functions; treatises that were essentially complete

    Special functions

    Special_functions

  • Euler's three-body problem
  • Problem in physics and astronomy

    three dimensional case, can be expressed in terms of Weierstrass's elliptic functions For convenience, the problem may also be solved by numerical methods

    Euler's three-body problem

    Euler's_three-body_problem

  • Christoph Gudermann
  • German mathematician (1798–1852)

    Weierstrass, who was greatly influenced by Gudermann's course on elliptic functions in 1839–1840, the first such course to be taught in any institute

    Christoph Gudermann

    Christoph_Gudermann

  • Srinivasa Ramanujan
  • Indian mathematician (1887–1920)

    Royal Society's history. He was elected "for his investigation in elliptic functions and the Theory of Numbers." On 13 October 1918, he was the first Indian

    Srinivasa Ramanujan

    Srinivasa Ramanujan

    Srinivasa_Ramanujan

  • Elliptic Gauss sum
  • Gauss sum on an elliptic curve

    quartic residue symbol, and the exponential function in a Gauss sum is replaced by an elliptic function. They were introduced by Eisenstein (1850), at

    Elliptic Gauss sum

    Elliptic_Gauss_sum

  • Elliptic Labs
  • Norwegian technology company

    Elliptic Laboratories ASA (Elliptic Labs) is a Norwegian technology company based in Oslo that develops software-based sensor systems. The company was

    Elliptic Labs

    Elliptic_Labs

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  • Vickers
  • Surname or Lastname

    English

    Vickers

    English : patronymic for the son of a vicar or, perhaps in most cases, an occupational name for the servant of a vicar (see Vicker). In many cases it may represent an elliptical form of a topographic name. Compare Parsons.

    Vickers

  • ANKHSNEF
  • Male

    Egyptian

    ANKHSNEF

    , an Egyptian functionary.

    ANKHSNEF

  • Gates
  • Surname or Lastname

    English

    Gates

    English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.

    Gates

  • ASESKAFANKH
  • Male

    Egyptian

    ASESKAFANKH

    , a great functionary.

    ASESKAFANKH

  • Douthit
  • Surname or Lastname

    English

    Douthit

    English : variant of Douthwaite, a habitational name from Dowthwaite in Cumbria or Dowthwaite Hall in North Yorkshire. The first is from the Old Norse personal name Dúfa + Old Norse þveit ‘clearing’; the second is from the Old Irish personal name Dubhan + Old Norse þveit. The elliptic form of the surname probably reflects the local pronunciation of the place names.

    Douthit

  • Jenner
  • Surname or Lastname

    English (chiefly Kent and Sussex)

    Jenner

    English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.

    Jenner

  • VIRIDOMARUS
  • Male

    Celtic

    VIRIDOMARUS

    , great justiciary, or functionary.

    VIRIDOMARUS

  • Fuller
  • Surname or Lastname

    English

    Fuller

    English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.

    Fuller

  • AMENHERATF
  • Male

    Egyptian

    AMENHERATF

    , the son of the functionary Heknofre.

    AMENHERATF

  • ANIEI
  • Male

    Egyptian

    ANIEI

    , an Egyptian functionary.

    ANIEI

  • Catt
  • Surname or Lastname

    English

    Catt

    English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.

    Catt

  • KHEN-TA
  • Male

    Egyptian

    KHEN-TA

    , Functionary of the Interior.

    KHEN-TA

  • KAFH-EN-MA-NOFRE
  • Male

    Egyptian

    KAFH-EN-MA-NOFRE

    , a high Egyptian functionary.

    KAFH-EN-MA-NOFRE

  • Genki
  • Boy/Male

    Buddhist, Indian, Japanese

    Genki

    Mysterious Function

    Genki

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Online names & meanings

  • Rajasuy
  • Boy/Male

    Hindu

    Rajasuy

    Lotus flower

  • jitha
  • Girl/Female

    Hindu

    jitha

    Having conquered

  • Arunakar
  • Boy/Male

    Hindu, Indian, Marathi

    Arunakar

    The Sun

  • Ayer
  • Surname or Lastname

    English

    Ayer

    English : from Middle English eir, eyer ‘heir’ (Old French (h)eir, from Latin heres ‘heir’). Forms such as Richard le Heyer were frequent in Middle English, denoting a man who was well known to be the heir to the main property in a particular locality, either one who had already inherited or one with great expectations.

  • Willabelle
  • Girl/Female

    German

    Willabelle

    Will-helmet

  • Hallfrita
  • Girl/Female

    British, English

    Hallfrita

    Peaceful Home

  • Meghana | மேகநா
  • Girl/Female

    Tamil

    Meghana | மேகநா

    Cloud, River ganges

  • Bhasu
  • Boy/Male

    Indian, Sanskrit

    Bhasu

    Creator of Light; The Sun

  • Myleen
  • Girl/Female

    English

    Myleen

    Merciful. Feminine of Myles.

  • Jacob
  • Boy/Male

    Christian & English(British/American/Australian)

    Jacob

    Conqueror

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Other words and meanings similar to

ELLIPTIC FUNCTION

AI search in online dictionary sources & meanings containing ELLIPTIC FUNCTION

ELLIPTIC FUNCTION

  • Elliptic
  • a.

    Alt. of Elliptical

  • Mellic
  • a.

    See Mellitic.

  • Elliptical
  • a.

    Having a part omitted; as, an elliptical phrase.

  • Ellipse
  • n.

    Omission. See Ellipsis.

  • Ecliptic
  • a.

    A great circle of the celestial sphere, making an angle with the equinoctial of about 23¡ 28'. It is the apparent path of the sun, or the real path of the earth as seen from the sun.

  • Ellipsis
  • n.

    An ellipse.

  • Mellitic
  • a.

    Pertaining to, or derived from, the mineral mellite.

  • Mellitic
  • a.

    Containing saccharine matter; marked by saccharine secretions; as, mellitic diabetes.

  • Ecliptic
  • a.

    Pertaining to an eclipse or to eclipses.

  • Ellipses
  • pl.

    of Ellipsis

  • Sign
  • n.

    The twelfth part of the ecliptic or zodiac.

  • Ellipse
  • n.

    The elliptical orbit of a planet.

  • Latitude
  • n.

    The angular distance of a heavenly body from the ecliptic.

  • Ecliptic
  • a.

    Pertaining to the ecliptic; as, the ecliptic way.

  • Pelta
  • n.

    A small shield, especially one of an approximately elliptic form, or crescent-shaped.

  • Elliptic-lanceolate
  • a.

    Having a form intermediate between elliptic and lanceolate.

  • Ecliptic
  • a.

    A great circle drawn on a terrestrial globe, making an angle of 23¡ 28' with the equator; -- used for illustrating and solving astronomical problems.

  • Mellitate
  • n.

    A salt of mellitic acid.

  • Elliptical
  • a.

    Of or pertaining to an ellipse; having the form of an ellipse; oblong, with rounded ends.

  • Oval
  • a.

    Broadly elliptical.