Definition of Lemniscatic. Meaning of Lemniscatic. Synonyms of Lemniscatic

- and circular cross-sections have the same diameter as each other. The lemniscatic elliptic functions are analogues of trigonometric functions for the lemniscate...
- the lemniscatic case, the elliptic modulus or specific eccentricity ε is equal to half the square root of two. Legendre's identity for the lemniscatic case...
- functional designation sl stands for the lemniscatic sine and the designation cl stands for the lemniscatic cosine. In addition, those relations to the...
- elliptic functions with complex multiplication by √−1 is called the lemniscatic case in some sources. Using the elliptic integral arcsl ⁡ x = def ∫ 0...
- The Rogers–Ramanujan continued fraction is a continued fraction discovered by Rogers (1894) and independently by Srinivasa Ramanujan, and closely related...
- region and applying Cauchy's residue theorem. The lemniscatic arc sine and the complementary lemniscatic arcsine are defined as follows: arcsl ⁡ ( r ) =...
- values can be represented in a simplified way by using the hyperbolic lemniscatic sine: φ [ exp ⁡ ( − 1 5 π ) ] = π 4 Γ ( 3 4 ) − 1 slh ⁡ ( 1 5 2 ϖ ) slh...
- Look up lemniscate, lemniscates, or lemniscatic in Wiktionary, the free dictionary. A lemniscate is a mathematical curve shaped like a figure eight. Lemniscate...
- page follows the terminology of Abramowitz and Stegun; see also the lemniscatic case. (These are special examples of complex multiplication.) In the...
- entry recorded the discovery of the connection of Gauss's constant to lemniscatic elliptic functions, a result that Gauss stated that "will surely open...