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.

These differences, expressed using inequality relations known as " Bell's inequalities ", are in principle experimentally detectable.

Natural resources can add substantial's to a country's wealth, however a sudden inflow of money caused by a resource boom can create social problems including inflation harming other industries (" Dutch disease ") and corruption, leading to inequality and underdevelopment, this is known as the " resource curse ".

Specifically, he demonstrated an upper limit, known as Bell's inequality, regarding the strength of correlations that can be produced in any theory obeying local realism, and he showed that quantum theory predicts violations of this limit for certain entangled systems.

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.

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

There are some problems in both NP and co-NP, for example all problems in P or integer factorization, however it is not known if the sets are equal, although inequality is thought more likely.

A well known inequality concerning arithmetic, geometric, and harmonic means for any set of positive numbers is

Although in modern times it is known mostly for its wealth, Battersea remains characterised by spates of inequality, with infamous and deprived council estates such as the Winstanley estate surrounding more prosperous areas.

Because it can be applied to completely arbitrary distributions ( unknown except for mean and variance ), the inequality generally gives a poor bound compared to what might be possible if something is known about the distribution involved.

An asymmetric two sided version of this inequality is also known.

This result, known as Jensen's inequality underlies many important inequalities ( including, for instance, the arithmetic-geometric mean inequality and Hölder's inequality ).

For affine buildings, this metric satisfies the CAT ( 0 ) comparison inequality of Alexandrov, known in this setting as the Bruhat-Tits non-positive curvature condition for geodesic triangles: the distance from a vertex to the midpoint of the opposite side is no greater than the distance in the corresponding Euclidean triangle with the same side-lengths ( see ).

If the two populations were known to each other, and were aware of the inequality, this would arguably constitute social injustice.

In probability theory, Boole's inequality, also known as the union bound, says that for any finite or countable set of events, the probability that at least one of the events happens is no greater than the sum of the probabilities of the individual events.

Economic inequality ( also known as the gap between rich and poor, income inequality, wealth disparity, or wealth and income differences ) comprises disparities in the distribution of economic assets ( wealth ) and income within or between populations or individuals.

Conversely, selfish behavior can only be favoured when Hamilton's inequality is not satisfied.

* category-like entities that don't themselves have any notion of individual morphism but whose hom-objects have similar compositional aspects ( e. g., preorders where the composition rule ensures transitivity, or Lawvere's metric spaces, where the hom-objects are numerical distances and the composition rule provides the triangle inequality ).

Fascism denies that the majority, through the mere fact of being a majority, can rule human societies ; it denies that this majority can govern by means of a periodical consultation ; it affirms the irremediable, fruitful and beneficent inequality of men, who cannot be levelled by such a mechanical and extrinsic fact as universal suffrage.

The party's platform ( which is written in quasi-religious language ) blames the open market economy and the rule of mammon for social inequality in Canada, and calls for government intervention to promote the quality of life.

A decision rule dominates a decision rule if and only if for all, and the inequality is strict for some.

Certain data suggest social division, stratification, and inequality, where the Liburnian aristocracy also kept many privileges, special status, and features of their culture under Roman rule.

He saw direct democracy as a danger to individual rights and advocated a representative democracy in order to protect what he viewed as individual liberty from majority rule, or from the effects of such inequality within society.