A case study on stochastic games on large graphs in mean field and sparse regime 48:17 Differential Equations and Algebraic Geometry - 2 58:18 Differential Equations and Algebraic Geometry - 3 53:48 Differential Equations and Algebraic Geometry - 4 53:46 Graphon Mean Field Games and the...
Find the arithmetic mean between : (i) 9 and 31 (ii)(m−n)and(m+n) 12 and - 22 View Solution Find the geometric mean of 4 and 25. View Solution Find the geometric mean of 12 and 27. View Solution Find the arithmetic mean between ...
The Arithmetic-Geometric Mean and Periods of Curves of Genus 1 and 2 In more modern number theory, it has been used to compute periods of elliptic curves over C, extended to p-adic fields and even generalised to curves of genus 2. This thesis expands on the generalisation of the AGM to...
JEL Classification: G11This paper uses two databases to test the ability of six functions of arithmetic mean and variance to approximate geometric mean return or, equivalently, Bernoulli's expected log utility. The two databases are: (1) a database of returns on frequently used asset classes, ...
Let pn denote the n-th prime number and let Gn be the geometric mean of the first n primes. It is well-known that Gn/pn → 1/e as n →∞, where e is the Euler's number. The aim of this note is to give various proofs of this fact, equivalent establishments and generalizations....
stats[describe, geometricmean] Geometric Mean of a Statistical List Calling Sequence Parameters Description Examples Calling Sequence stats[describe, geometricmean]( data ) describe[geometricmean]( data ) Parameters data - statistical list Description...
A geometric series is sometimes called ageometric sequenceor ageometric progression. They all mean the same thing: a listing of numbers that follow a specific pattern. The pattern is regulated by the common ratio, which is the number that is the ratio between consecutive numbers in the series....
,xn, the arithmetic mean is greater than or equal to the geometric mean:x1+x2+⋯+xnn≥(x1x2…xn)1/n. This can be viewed as a special case (m=n) of Maclaurin's inequality: Proposition 1.1 If x1,…,xn are positive scalars and m≥n then it holds that1nm∑j1,j2,…,jm=1n...
The currentsaregeneralized cycles, a notion introduced in [7], see Sect.2.3. A generalized cycleof codimensionkhas well-defined integer multiplicitiesat each pointxand a unique global decomposition into a (Lelong current of a) cycle of codimensionk, thefixed part, and themoving part; the multip...
where \(\varepsilon _{xx}\) is the horizontal deformation, \(\varepsilon _{yy}\) is the vertical deformation, \(\varepsilon _{xy}\) is the shear deformation, \(\omega _{xy}\) is the rigid-body rotation and \(\Delta _{xy}\) is the mean dilatation. In this article, deformation...