" 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.

Samuelson's inequality is a result that states, given that the sample mean and variance have been calculated from a particular sample, bounds on the values that individual values in the sample can take.

The Cauchy – Schwarz inequality states that for all vectors x and y of an inner product space it is true that

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side ( and, if the setting is a Euclidean space, then the inequality is strict if the triangle is non-degenerate ).< ref name = Khamsi >

For instance, Daisy Myers has been hailed as " The Rosa Parks of the North ", who helped expose the northern states ' problems with racial inequality of that time.

The Chebyshev inequality states that if is a random variable with standard deviation σ, then the probability that the outcome of is no less than away from its mean is no more than:

Markov's inequality states that for any real-valued random variable Y and any positive number a, we have Pr (| Y | > a ) ≤ E (| Y |)/ a.

In physics, the CHSH inequality can be used in the proof of Bell's theorem, which states that certain consequences of entanglement in quantum mechanics cannot be reproduced by local hidden variable theories.

It would appear from both these later derivations that the only assumptions really needed for the inequality itself ( as opposed to the method of estimation of the test statistic ) are that the distribution of the possible states of the source remains constant and the detectors on the two sides act independently.

An equivalent formulation states that for any ε > 0, there exists a constant K such that, for all triples of coprime positive integers ( a, b, c ) satisfying a + b = c, the inequality

In the language of measure theory, Markov's inequality states that if ( X, Σ, μ ) is a measure space, ƒ is a measurable extended real-valued function, and, then

This provides an interesting twist on Wallerstein's neo-Marxist interpretation of the international order which faults differences in power relations between ' core ' and ' periphery ' states as the chief cause for economic and political inequality ( However, the Singer-Prebisch thesis also works with different bargaining positions of labour in developed and developing countries ).

# The Bishop – Gromov inequality states that if a complete m-dimensional Riemannian manifold has non-negative Ricci curvature, then the volume of a ball is smaller or equal to the volume of a ball of the same radius in Euclidean m-space.

In its simplest form the inequality states that the convex transformation of a mean is less than or equal to the mean after convex transformation ; it is a simple corollary that the opposite is true of concave transformations.

Specifically, the isoperimetric inequality states, for the length L of a closed curve and the area A of the planar region that it encloses, that

The isoperimetric inequality states that

Denote by L the length of C and by A the area enclosed by C. The spherical isoperimetric inequality states that

In full generality, the isoperimetric inequality states that for any set S ⊂ R < sup > n </ sup > whose closure has finite Lebesgue measure

Each inequality states that your opponent's net gain is more than zero.

On the issue of markets in a socialist society, Webb states, " Admittedly, market mechanisms in a socialist society can generate inequality, disproportions and imbalances, destructive competition, downward pressure on wages, and monopoly cornering of commodity markets – even the danger of capitalist restoration.

Specifically, the Koksma-Hlawka inequality states that the error

The geodesic minimizes the entropy, due to the Cauchy – Schwarz inequality, which states that the action is bounded below by the length of the curve, squared.

Then Bernstein's inequality states that for M non-zero,