Inequalities (mathematics)

economic theory that states that the exchange rate between two countries is equal to the ratio of the currencies' respective purchasing power

fundamental principle in quantum physics

mathematical relation comparing two different values

a useful inequality encountered in many different settings, such as linear algebra, analysis, probability theory, vector algebra and other areas. It is considered to be one of the most important inequalities in all of mathematics

in quantum physics, the theorem that locally causal hidden-variable theories cannot reproduce correlations predicted by quantum mechanics

theorem of convex functions

inequality that (1+x)ⁿ ≥ 1+nx for x ≥ −1 and n∈ℕ

states that the arithmetic mean of a list of non-negative real numbers is greater than or equal to the geometric mean of the same list

triangle inequality of Lp space

inequality between integrals in Lp spaces

n-th root of the arithmetic mean of the given numbers raised to the power n

inequality applying to products of numbers

theorem

inequality relating the Lebesgue integral of the limit inferior of a sequence of functions to the limit inferior of integrals of these functions

inequality relating two increasing sequences of numbers, or one decreasing and another increasing sequence

formula that visually represents itself when graphed

theorem

inequality in mathematics

necessary and sufficient condition for the existence of a prefix code for a given set of codeword lengths

inequality applying to three positive numbers

theorem

inequality relating a real number greater than 1 and a sequence of non-negative numbers

Mathematical inequality in Sobolev space theory

inequality applying to sums of positive numbers

inequality relating elementary symmetric means

mathematical symbol representing the relation "greater than"

upper bound in coding theory

theorem

inequality relating the primorial to square of the next prime number

theorem

theorem

mathematical symbol representing the relation "less than"

inequality on Lp norm with weak derivatives

theorem

theorem

inequality

inequality of Jacobi polynomials

inequality applying to sequences of complex numbers

inequalities in number theory and matrix theory

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inequality on positive numbers and a function of positive third derivative

mathematical inequality bounding the derivative of a polynomial by its degree and maximum value

Algebra theorem about convex functions

trace inequality between traces of exponential of symmetric matrices

theorem about inclusions between Sobolev spaces: if 1≤r≤s<∞ and 1/r − k/n = 1/s − l/n, then Wᵏʳ(ℝⁿ) ⊆ Wˡˢ(ℝⁿ)

Mathematical theorem

inequality proved by Andrey Markov and Vladimir Markov

inequality involving a real number and n-dimensional real vectors

inequality for Legendre polynomials

theorem

Mathematical Equation

inequality for real numbers

theorem

inequality applying to random variables

equation in mathematics

two possible inequalities, one involving positive numbers and another from game theory

mathematical relationships

inequality on Lp norms

testable implication of local hidden variable theories