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There is a page named "Elliptic sine" on Wikipedia

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  • 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 (see...
    70 KB (12,521 words) - 15:59, 19 June 2024
  • Thumbnail for Sine and cosine
    In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle:...
    52 KB (6,040 words) - 23:55, 15 July 2024
  • Thumbnail for Weierstrass elliptic function
    a^{-1}(x)=\sin x} . So the sine function is an inverse function of an integral function. Elliptic functions are the inverse functions of elliptic integrals. In particular...
    25 KB (4,365 words) - 10:40, 4 April 2024
  • Thumbnail for Lemniscate elliptic functions
    In mathematics, the lemniscate elliptic functions are elliptic functions related to the arc length of the lemniscate of Bernoulli. They were first studied...
    122 KB (22,102 words) - 14:40, 15 July 2024
  • \varphi .} Another closely related equation is the elliptic sine-Gordon equation or Euclidean sine-Gordon equation, given by φ x x + φ y y = sin ⁡ φ ...
    33 KB (4,705 words) - 07:49, 14 June 2024
  • 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...
    39 KB (7,418 words) - 01:30, 5 March 2024
  • Thumbnail for Elliptic orbit
    In astrodynamics or celestial mechanics, an elliptic orbit or elliptical orbit is a Kepler orbit with an eccentricity of less than 1; this includes the...
    19 KB (2,715 words) - 21:54, 29 May 2024
  • the following notations: ce and se are abbreviations for cosine-elliptic and sine-elliptic, respectively. Even periodic solution: c e r ( ω , q ) = ∑ m A...
    9 KB (1,411 words) - 03:51, 21 November 2021
  • Thumbnail for Trigonometric tables
    possible: for example, some early trigonometric tables used not sine and cosine, but sine and versine. A quick, but inaccurate, algorithm for calculating...
    12 KB (1,648 words) - 23:01, 12 July 2024
  • Weierstrass functions (category Elliptic functions)
    functions of a complex variable that are auxiliary to the Weierstrass elliptic function. They are named for Karl Weierstrass. The relation between the...
    5 KB (934 words) - 14:37, 24 February 2024
  • Thumbnail for Dixon elliptic functions
    Dixon in 1890, by analogy to the trigonometric functions sine and cosine and the Jacobi elliptic functions sn and cn; Göran Dillner described them earlier...
    29 KB (5,041 words) - 15:14, 19 June 2024
  • Elliptic functions: The inverses of elliptic integrals; used to model double-periodic phenomena. Jacobi's elliptic functions Weierstrass's elliptic functions...
    10 KB (1,064 words) - 22:54, 8 July 2024
  • respectively. They are sometimes also referred to as cosine-elliptic and sine-elliptic, or Mathieu functions of the first kind. As a result of assuming...
    43 KB (8,259 words) - 04:22, 13 January 2024
  • congruent to 1 mod 4 φ(z) = sl((1 – i)ωz) where sl is the sine lemniscate function, an elliptic function. χ is the mth power residue symbol in K with respect...
    4 KB (471 words) - 20:52, 21 December 2023
  • method SL (complexity), a class of computational complexity sl (elliptic function), sine lemniscate function Special linear group in mathematics, denoted...
    3 KB (409 words) - 04:54, 15 May 2024
  • describes the quotient of the amplitude sine divided by the amplitude cosine. The law for the square of the elliptic noun involves forming the Landen daughter...
    80 KB (13,956 words) - 08:09, 9 May 2024
  • x+\theta ,i),} where s n {\displaystyle \,{\rm {sn\!}}} is the Jacobi elliptic sine function and μ , θ {\displaystyle \,\mu ,\theta } are two integration...
    16 KB (3,128 words) - 20:14, 10 April 2024
  • \kappa } is the Jacobi elliptic modulus sn ⁡ ( φ | κ ) {\displaystyle \operatorname {sn} (\varphi |\kappa )} is the Jacobi elliptic sine. The variation of...
    9 KB (1,559 words) - 00:01, 23 May 2024
  • Thumbnail for Cofunction
    identities. This also holds true for the versine (versed sine, ver) and coversine (coversed sine, cvs), the vercosine (versed cosine, vcs) and covercosine...
    7 KB (335 words) - 05:04, 12 September 2023
  • format Stable Diffusion, a text-to-image generator sd (elliptic function), one of Jacobi's elliptic functions Standard deviation (SD), a statistical measure...
    3 KB (327 words) - 21:30, 19 July 2024
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