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searching for Elliptic integral 13 found (94 total)

Vilho Väisälä (324 words) [view diff] exact match in snippet view article find links to article

yksikäsitteisyys (The single-valuedness of the inverse function of the elliptic integral of the first kind). His dissertation was the first and still is the

Supergolden ratio (2,802 words) [view diff] exact match in snippet view article find links to article

\left({\sqrt {2}}\,\psi \right)^{24}-24} . The difference is < 1/143092. The elliptic integral singular value k r = λ ∗ ( r ) {\displaystyle k_{r}=\lambda ^{*}(r)}

Plastic ratio (4,385 words) [view diff] exact match in snippet view article find links to article

\left({\sqrt {2}}\,\rho \right)^{24}-24} . The difference is < 1/12659. The elliptic integral singular value k r = λ ∗ ( r ) {\displaystyle k_{r}=\lambda ^{*}(r)}

Walter Bartky (552 words) [view diff] exact match in snippet view article find links to article

Walter (1938). "Numerical calculation of a generalized complete elliptic integral". Reviews of Modern Physics. 10 (4): 264. Bibcode:1938RvMP...10..264B

Alfred George Greenhill (825 words) [view diff] exact match in snippet view article find links to article

Archive, University of St Andrews Greenhill, Alfred George (1907). "The elliptic integral in electromagnetic theory". Bull. Amer. Math. Soc. 8 (4): 447–534

Michael Sadowsky (283 words) [view diff] exact match in snippet view article find links to article

JSTOR 2303990. with E. Sternberg: Sadowsky, M. A.; Sternberg, E. (1950). "Elliptic integral representation of axially symmetric flows". Quart. Appl. Math. 8 (2):

Eli Sternberg (653 words) [view diff] exact match in snippet view article find links to article

Bibcode:1949JAM....16..149S. doi:10.1115/1.4009928. with M. A. Sadowsky: "Elliptic integral representation of axially symmetric flows". Quarterly of Applied Mathematics

Lamé function (1,787 words) [view diff] exact match in snippet view article find links to article

) {\displaystyle K(k)} is the quarter period given by a complete elliptic integral) Ec ⁡ ( 2 K ) = Ec ⁡ ( 0 ) = 0 , Es ⁡ ( 2 K ) = Es ⁡ ( 0 ) = 0 , {\displaystyle

Earth radius (4,438 words) [view diff] exact match in snippet view article find links to article

described by any polar cross section of the ellipsoid. This requires an elliptic integral to find, given the polar and equatorial radii: M r = 2 π ∫ 0 π 2 a

Theta function (14,653 words) [view diff] exact match in snippet view article find links to article

_{00}(0;\tau )^{2}}}} These are two identical definitions of the complete elliptic integral of the second kind: E ( k ) = ∫ 0 π / 2 1 − k 2 sin ⁡ ( φ ) 2 d φ

Difference quotient (4,699 words) [view diff] exact match in snippet view article find links to article

average derivative (such as when finding the average radius in an elliptic integral). This is especially true for definite integrals that technically

Supersilver ratio (2,887 words) [view diff] exact match in snippet view article find links to article

W_{59}(x)=x^{9}-4x^{8}+4x^{7}-2x^{6}+4x^{5}-8x^{4}+4x^{3}-8x^{2}+16x-8.} The elliptic integral singular value k r = λ ∗ ( r ) for r = 59 {\displaystyle k_{r}=\lambda

Experimental uncertainty analysis (15,097 words) [view diff] exact match in snippet view article find links to article

standard deviation Interval finite element The exact period requires an elliptic integral; see, e.g., Tenenbaum; Pollard (1985). Ordinary Differential Equations