Sentence examples for mean inequality where from inspiring English sources

The inequality is similar to the reverse arithmetic-geometric mean inequality where its terms were rearranged.

Motivated by proving an inequality that appeared in our research in Monte Carlo multiple importance sampling (MIS), we identified first a sufficient condition for a generalized weighted means inequality where only the weights are changed.

The country has long been used as the example of where not to be on the Gini co-efficient a sco-efficient ae inequality where one meanscale person has all the country's income and zero means everybody has an equal share.

According to the power mean inequality, it suffices to consider the case where r has the maximum value, that is (r=e).

Before personal tax and cash payments, our Gini coefficient (a common measure of inequality, where a higher number means more inequality) is 0.469; afterwards, it's 0.334.

where the inequality is from the arithmetic mean-geometric mean inequality.

The arithmetic-geometric mean inequality for two positive real numbers a, b is (sqrt{ab}lefrac{a+b}{2}), where equality holds if and only if (a=b).

That does not mean inequality never aggravates macroeconomic instability, but unfortunately critics of inequality often exaggerate their claims.

It follows from the operator concavity of t r ( 0 ≤ r ≤ 1 ) [5] and the arithmetic-harmonic mean inequality that ( λ A + ( 1 − λ ) B ) − r ≤ ( λ A r + ( 1 − λ ) B r ) − 1 ( by the concavity of  t r ) ≤ λ A − r + ( 1 − λ ) B − r ( by the arithmetic-harmonic mean inequality ) ≤ A − r + B − r, where A, B ∈ σ ( ( 1, ∞ ) ) and λ ∈ [ 0, 1 ].

(iv Arithmetic-Geometric Mean iv Arithmetic-Geometric

Proposition 2.1 (Power Mean Inequality).