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There is a page named "Sine lemniscate function" on Wikipedia
- Euler and Carl Friedrich Gauss, among others. The lemniscate sine and lemniscate cosine functions, usually written with the symbols sl and cl (sometimes...124 KB (22,295 words) - 23:01, 18 August 2024
- Hyperbolic function Lemniscate elliptic functions Law of sines List of periodic functions List of trigonometric identities Madhava series Madhava's sine table...57 KB (7,571 words) - 12:50, 10 August 2024
- functions in 1797, the lemniscate elliptic functions in particular, but his work was published much later. There are twelve Jacobi elliptic functions...73 KB (13,230 words) - 05:13, 19 August 2024
- (complexity), a class of computational complexity sl (elliptic function), sine lemniscate function Special linear group in mathematics, denoted SLn or SL(n)...3 KB (412 words) - 00:25, 27 July 2024
- mathematics, the lemniscate constant ϖ is a transcendental mathematical constant that is the ratio of the perimeter of Bernoulli's lemniscate to its diameter...24 KB (4,376 words) - 06:17, 17 August 2024
- arises from integrals of purely algebraic functions. In particular, the arc lengths of ellipses and of the lemniscate, which are curves defined by algebraic...90 KB (13,358 words) - 11:17, 17 August 2024
- 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...25 KB (4,386 words) - 19:46, 8 August 2024
- In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points F1 and F2, known as foci, at distance 2c from each other as the...9 KB (1,199 words) - 12:16, 12 April 2024
- Weierstrass's elliptic functions Lemniscate elliptic functions Theta functions Neville theta functions Modular lambda function Closely related are the modular...10 KB (1,065 words) - 09:21, 10 August 2024
- trigonometric functions sine and cosine and the Jacobi elliptic functions sn and cn; Göran Dillner described them earlier in 1873. The functions sm and cm...29 KB (5,056 words) - 03:05, 5 August 2024
- periodic function with just one zero. Elliptic function Abel elliptic functions Jacobi elliptic functions Weierstrass elliptic functions Lemniscate elliptic...6 KB (758 words) - 11:53, 8 November 2023
- 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
- {\displaystyle \operatorname {sl} } is the lemniscate sine and ϖ {\displaystyle \varpi } is the lemniscate constant. The function λ ∗ ( x ) {\displaystyle \lambda...22 KB (3,503 words) - 03:21, 3 February 2024
- {2}}\,\varpi {\bigr )}} With the letter ϖ {\displaystyle \varpi } the Lemniscate constant is represented. Note that the following modular identities hold:...67 KB (13,983 words) - 18:52, 25 June 2024
- curve which generates each of them is expressed using cosine functions rather than sine functions. x = cos ( t ) , y = cos ( N t ) {\displaystyle x=\cos(t)...16 KB (1,651 words) - 21:58, 27 November 2023
- Nome (mathematics) (category Elliptic functions)Chen: Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions. Universität Henan, China, 2016. Minjie Wei, Yue He and...80 KB (13,956 words) - 08:09, 9 May 2024
- – trigonometric identities for multiple distinct angles The Lemniscate elliptic functions, sinlem and coslem The Pythagorean theorem in non-Euclidean...9 KB (814 words) - 00:17, 13 June 2024
- Lissajous-toric knot onto the x-y-plane is a Lissajous curve. Replacing the sine and cosine functions in the parametrization by a triangle wave transforms a Lissajous-toric...6 KB (933 words) - 04:30, 13 May 2024
- {\displaystyle y=1/x} is a rectangular hyperbola. Using the hyperbolic sine and cosine functions cosh , sinh {\displaystyle \cosh ,\sinh } , a parametric representation...75 KB (13,551 words) - 23:06, 17 August 2024
- Polar coordinate system (redirect from Polar function)converted to the Cartesian coordinates x and y by using the trigonometric functions sine and cosine: x = r cos φ , y = r sin φ . {\displaystyle {\begin{aligned}x&=r\cos...48 KB (6,600 words) - 08:37, 23 June 2024
- involving π given to a great many places, and Gauss’s memoir on the lemniscate function (Werke, vol. iii.) has e−π, e−1/4π, e−9/4π, &c., calculated to about
- Cartesian coordinates x , y {\displaystyle x,y} by using the trigonometric functions sine and cosine: x = r cos ( θ ) {\displaystyle x=r\cos(\theta )} y = r