It is at least as important as the more dramatic attempts to break down barriers of inequality in the South.

The maximum speedup in an improved sequential program, where some part was sped up times is limited by inequality

As the problem of P ≟ PSPACE has not yet been solved, the proof of inequality between BQP and classes mentioned above is supposed to be difficult.

In real analysis, Bernoulli's inequality ( named after Jacob Bernoulli ) is an inequality that approximates exponentiations of 1 + x.

If the exponent r is even, then the inequality is valid for all real numbers x.

Bernoulli's inequality is often used as the crucial step in the proof of other inequalities.

An alternate form of Bernoulli's inequality for and is:

This is an infinite sum which has one summand for every p in the domain of F. The requirement that the domain be prefix-free, together with Kraft's inequality, ensures that this sum converges to a real number between 0 and 1.

A firmly non-expansive mapping is always non-expansive, via the Cauchy – Schwarz inequality.

However, for this to be true, one would expect economic inequality to also be a significant factor in rebellions, which it is not.

A straightforward practical consequence is that any meaningful equation ( and any inequality and inequation ) must have the same dimensions in the left and right sides.

In Plato's Republic, the origin of the state lies in the natural inequality of humanity, which is embodied in the division of labour.

One problem that the Salvadoran economy faces is the inequality in the distribution of income.

where ζ denotes the Riemann zeta function ( see Lehmer ; one approach to prove the inequality is to obtain the Fourier series for the polynomials B < sub > n </ sub >).

It is considered to be a personal responsibility for Muslims to ease economic hardship for others and eliminate inequality.

Gini coefficient is commonly used as a measure of inequality of income or wealth.

Gini coefficient is a controversial measure of income inequality.

Although it is sometimes used as a ' distance metric ', KL divergence is not a true metric since it is not symmetric and does not satisfy the triangle inequality ( making it a semi-quasimetric ).

Income inequality refers to the extent to which income is distributed in an uneven manner.

" Also known as the kinship theory of genomic imprinting, this hypothesis states that the inequality between parental genomes due to imprinting is a result of the differing interests of each parent in terms of the evolutionary fitness of their genes.

In terms of inheritance inequality, some economists and sociologists focus on the inter generational transmission of income or wealth which is said to have a direct impact on one's mobility ( or immobility ) and class position in society.

a *, is sometimes known as Kadison's inequality.

Critics sometimes refer to neoliberalism as the " American Model ," and make the claim that it promotes low wages and high inequality.

Duos of equal importance on TV such as Kate McArdle and Allie Lowell ( Kate & Allie ), Oscar Madison and Felix Unger ( The Odd Couple ), Bret Maverick and Bart Maverick ( Maverick ), Captain Scarlet and Captain Blue ( Captain Scarlet and the Mysterons ), or Laverne De Fazio and Shirley Feeney ( Laverne & Shirley ), are sometimes both called sidekicks to each other, although the usual sense of the term denotes inequality.

The law in some countries, such as the UK, draws a distinction between “ equality of provision ” and “ equality of outcome ”, recognising that identical treatment may sometimes act to preserve inequality rather than eliminate it.

To overcome this problem, poverty indices are sometimes used instead ; see income inequality metrics.

( This measure theoretic definition may sometimes be referred to as Chebyshev's inequality

* AG is sometimes used as a shorthand for the inequality of arithmetic and geometric means.

Models such as the Suits index, Gini coefficient, Theil index, Atkinson index, and Robin Hood index are sometimes used to factor progressivity through measures of inequality of income distribution or inequality of wealth distribution.

Although CDA is sometimes mistaken to represent a ' method ' of discourse analysis, it is generally agreed upon that any explicit method in discourse studies, the humanities and social sciences may be used in CDA research, as long as it is able to adequately and relevantly produce insights into the way discourse reproduces ( or resists ) social and political inequality, power abuse or domination.

* In sociology and semiotics, dichotomies ( also sometimes called ' binaries ' and / or ' binarisms ') are the subject of attention because they may form the basis to divisions and inequality.

The study of landscape archaeology ( also sometimes referred to as the archaeology of the cultural landscape ) has evolved to include how landscapes were used to create and reinforce social inequality and to announce one's social status to the community at large.

In many societies, attempts have been made, through property redistribution, taxation, or regulation, to redistribute wealth, sometimes in support of the upper class, and sometimes to diminish extreme inequality.

which also gives rise to the so-called Young's inequality with ε ( valid for every ε > 0 ), sometimes called the Peter – Paul inequality.

The form of conflict theory which emphasizes the role of economics, being heavily influenced by the work of Karl Marx and sometimes referred to as Marxist criminology, views crime as a natural response to the inequality arising from the competition inherent in capitalist society.

Marx correctly predicted that over time, inequality would grow but he also believed that this would mean growing impoverishment of the growing worker class, increasingly exploited by the capitalists.

Aspects of the wider community have also been implicated, including employment problems, socioeconomic inequality, lack of social cohesion, problems linked to migration, and features of particular societies and cultures.

Predestination also reduced antagonising over economic inequality and further, it meant that a material wealth could be taken as a sign of salvation in the afterlife.

However, Smith also expressed a very critical view on the effects of property laws on inequality:

In the metric TSP, also known as delta-TSP or Δ-TSP, the intercity distances satisfy the triangle inequality.

In mathematics, the Cauchy – Schwarz inequality ( also known as the Bunyakovsky inequality, the Schwarz inequality, or the Cauchy – Bunyakovsky – Schwarz inequality, or Cauchy – Bunyakovsky inequality ), is a useful inequality encountered in many different settings, such as linear algebra, analysis, probability theory, and other areas.

This inequality is trivial, and in fact an equality, in the case, and in this case u and v are also linearly dependent, regardless of u.

When n = 3 the Cauchy – Schwarz inequality can also be deduced from Lagrange's identity, which takes the form

While most scholars recognize historical links between Darwin's theory and forms of social Darwinism, they also maintain that social Darwinism is not a necessary consequence of the principles of biological evolution and that using biological evolution as a justification for policies of inequality amounts to committing the naturalistic fallacy.

This is a form of triangle inequality, with n, n, and the goal G < sub > n </ sub > closest to n. Because every monotonic heuristic is also admissible, monotonicity is a stricter requirement than admissibility.

Other measures such as access and quality of health care, income growth inequality, Disposable Energy ( people's disposable income's ability to buy energy ) and educational standards are also used.

First, Cú Roí explains his refusal to fight Cú Chulainn not only by pointing out the inequality between a physically healthy and an injured warrior, but also by saying that a victory would not be his, seeing as it was Fer Diad who had laid low his opponent.

Toledo promised to uphold and strengthen the market program that had been put in place, while also mitigating inequality issues attributed to it.

In mathematics, an inequality is a relation that holds between two values when they are different ( see also: equality ).

There was also a variation in the inequality and poverty in the six countries.

To bring the numerical values of parameters μ, σ into the domain where strong inequality holds true one could use the fact that if X is log-normally distributed then X < sup > m </ sup > is also log-normally distributed with parameters μm, σm.

Calder examined how the German bombings generated ideas and images of plucky and stoical suffering and resistance that defined post-war Britain's sense of itself ; but it also showed that the " chirpy Cockney ", " all pull together " stereotypes were partly propaganda which hid the reality of an inequality of suffering due to deep social divisions, and concealed unheroic stories of opportunistic looting and rape.

Hu and Wen Jiabao have also attempted to move China away from a policy of favouring economic growth at all costs and toward a more balanced view of growth that includes factors in social inequality and environmental damage, including the use of the green gross domestic product in personnel decisions.

In probability theory, Chebyshev ’ s inequality ( also spelled as Tchebysheff ’ s inequality ) guarantees that in any probability distribution ," nearly all " values are close to the mean — the precise statement being that no more than 1 / k < sup > 2 </ sup > of the distribution ’ s values can be more than k standard deviations away from the mean.