strict inequality
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Inequality (mathematics) — Not to be confused with Inequation. Less than and Greater than redirect here. For the use of the < and > signs as punctuation, see Bracket. More than redirects here. For the UK insurance brand, see RSA Insurance Group. The feasible regions… … Wikipedia
Inequality of arithmetic and geometric means — In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM GM inequality, 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; and… … Wikipedia
Inequality — In mathematics, an inequality is a statement about the relative size or order of two objects, or about whether they are the same or not (See also: equality) *The notation a < b means that a is less than b . *The notation a > b means that a is… … Wikipedia
inequality — noun a) An unfair, not equal, state. The inequality in living standards led to a civil war as the have nots rebelled. b) A statement that of two quantities one is specifically less than (or … Wiktionary
Kraft's inequality — In coding theory, Kraft s inequality, named after Leon Kraft, gives a necessary and sufficient condition for the existence of a uniquely decodable code for a given set of codeword lengths. Its applications to prefix codes and trees often find use … Wikipedia
Young's inequality — In mathematics, the standard form of Young s inequality states that if a and b are nonnegative real numbers and p and q are positive real numbers such that 1/ p + 1/ q = 1 then we have:ab le frac{a^p}{p} + frac{b^q}{q}.Equality holds if and only… … Wikipedia
Ky Fan inequality — In mathematics, the Ky Fan inequality is an inequality involving the geometric mean and arithmetic mean of two sets of real numbers of the unit interval. The result was published on page 5 of the book Inequalities by Beckenbach and Bellman (1961) … Wikipedia
Bernoulli's inequality — In real analysis, Bernoulli s inequality is an inequality that approximates exponentiations of 1 + x .The inequality states that:(1 + x)^r geq 1 + rx!for every integer r ge; 0 and every real number x > −1. If the exponent r is even, then the… … Wikipedia
Linear inequality — In mathematics a linear inequality is an inequality which involves a linear function.Formal definitionsWhen operating in terms of real numbers, linear inequalities are the ones written in the forms: f(x) < b ext{ or }f(x) leq b,where f(x) is a… … Wikipedia
Shapiro inequality — In mathematics, the Shapiro inequality is an inequality due to H. Shapiro and Vladimir Drinfel d.tatement of the inequalitySuppose n is a natural number and x 1, x 2, dots, x n are positive numbers and:* n is even and less than or equal to 12, or … Wikipedia
Rearrangement inequality — In mathematics, the rearrangement inequality states that:x ny 1 + cdots + x 1y nle x {sigma (1)}y 1 + cdots + x {sigma (n)}y nle x 1y 1 + cdots + x ny nfor every choice of real numbers:x 1lecdotsle x nquad ext{and}quad y 1lecdotsle y nand every… … Wikipedia
