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searching for Arithmetic–geometric mean 17 found (57 total)

alternate case: arithmetic–geometric mean

AM–GM inequality (7,827 words) [view diff] no match in snippet view article find links to article

x_{n}^{w_{n}}}}.} Most matrix generalizations of the arithmetic geometric mean inequality apply on the level of unitarily invariant norms, owing

Muirhead's inequality (1,376 words) [view diff] no match in snippet view article find links to article

In mathematics, Muirhead's inequality, named after Robert Franklin Muirhead, also known as the "bunching" method, generalizes the inequality of arithmetic

Rearrangement inequality (2,481 words) [view diff] exact match in snippet view article find links to article

the signs of the real numbers, unlike inequalities such as the arithmetic-geometric mean inequality. Many important inequalities can be proved by the rearrangement

Convex function (5,792 words) [view diff] exact match in snippet view article find links to article

Jensen's inequality, can be used to deduce inequalities such as the arithmetic–geometric mean inequality and Hölder's inequality. Let X {\displaystyle X} be

Circumference (1,002 words) [view diff] exact match in snippet view article find links to article

Almkvist, Gert; Berndt, Bruce (1988), "Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, π, and the Ladies Diary", American Mathematical Monthly

Eugene Salamin (mathematician) (136 words) [view diff] case mismatch in snippet view article

in general. Eugene Salamin (1976). "Computation of $\pi$ Using Arithmetic-Geometric Mean". Mathematics of Computation. 30 (135): 565–570. JSTOR 2005327

Gauss's diary (487 words) [view diff] no match in snippet view article find links to article

Expectationibus Generalibus and refers to the connection between the arithmetic geometric mean and elliptic functions. Entry 146, dated 1814 July 9, is the last

Szegő limit theorems (663 words) [view diff] exact match in snippet view article find links to article

the geometric mean of w {\displaystyle w} (well-defined by the arithmetic-geometric mean inequality). Let c ^ k {\displaystyle {\widehat {c}}_{k}} be the

Weitzenböck's inequality (1,417 words) [view diff] exact match in snippet view article find links to article

&&4{\sqrt {3}}\Delta .\end{aligned}}} As we have used the arithmetic-geometric mean inequality, equality only occurs when a = b = c {\displaystyle

Bruce C. Berndt (855 words) [view diff] exact match in snippet view article find links to article

Gert; Berndt, Bruce C. (1988). "Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, π and the Ladies Diary". Amer. Math. Monthly. 95 (7):

Mohammad Sal Moslehian (1,175 words) [view diff] exact match in snippet view article find links to article

Moslehian, Mohammad Sal; Sano, Takashi; Sugawara, Kota (2021). "The arithmetic-geometric mean inequality of indefinite type". Arch. Math. (Basel). 117 (3):

Friendship paradox (3,269 words) [view diff] exact match in snippet view article find links to article

networks. The mathematics behind this are directly related to the arithmetic-geometric mean inequality and the Cauchy–Schwarz inequality. Formally, Feld assumes

Square root (6,180 words) [view diff] exact match in snippet view article find links to article

{\sqrt {ab}}} (with equality if and only if a = b), which is the arithmetic–geometric mean inequality for two variables and, as noted above, is the basis

List of numerical analysis topics (8,344 words) [view diff] exact match in snippet view article find links to article

approximation; easier to apply than Lanczos AGM method — computes arithmetic–geometric mean; related methods compute special functions FEE method (Fast E-function

Pi (17,361 words) [view diff] exact match in snippet view article find links to article

years earlier by Carl Friedrich Gauss, in what is now termed the arithmetic–geometric mean method (AGM method) or Gauss–Legendre algorithm. As modified by

Gudermannian function (5,354 words) [view diff] exact match in snippet view article find links to article

of the Jacobian amplitude function and its calculation via the arithmetic-geometric mean" (PDF). SIAM Journal on Mathematical Analysis. 20 (6): 1514–1528

List of triangle inequalities (9,263 words) [view diff] exact match in snippet view article find links to article

{3}}{4}}(abc)^{2/3}.} From the rightmost upper bound on T, using the arithmetic-geometric mean inequality, is obtained the isoperimetric inequality for triangles: