triangle inequality

The inequality that states that the magnitude of the sum of two vectors is less than or equal to the sum of the magnitudes of the vectors, or any equivalent inequality in other spaces.
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Triangle inequality — In mathematics, the triangle inequality states that for any triangle, the length of a given side must be less than or equal to the sum of the other two sides but greater than or equal to the difference between the two sides.In Euclidean geometry… … Wikipedia
triangle inequality — noun Etymology: from its application to the distances between three points in a coordinate system Date: 1941 an inequality stating that the absolute value of a sum is less than or equal to the sum of the absolute values of the terms … New Collegiate Dictionary
triangle inequality — noun Etymology: so called from its application to the distances between three points in a coordinate system : an inequality stating that the absolute value of a sum is less than or equal to the sum of the absolute value of the terms * * * Math. 1 … Useful english dictionary
triangle inequality — Math. 1. the theorem that the absolute value of the sum of two quantities is less than or equal to the sum of the absolute values of the quantities. 2. the related theorem that the magnitude of the sum of two vectors is less than or equal to the… … Universalium
Triangle — This article is about the basic geometric shape. For other uses, see Triangle (disambiguation). Isosceles and Acute Triangle redirect here. For the trapezoid, see Isosceles trapezoid. For The Welcome to Paradox episode, see List of Welcome to… … 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 — /in i kwol i tee/, n., pl. inequalities. 1. the condition of being unequal; lack of equality; disparity: inequality of size. 2. social disparity: inequality between the rich and the poor. 3. disparity or relative inadequacy in natural endowments … Universalium
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
Triangle (disambiguation) — A triangle is a geometric shape that has three straight sides. Triangle can also refer to: Mathematics * Spherical triangle * Sierpinski triangle * Pascal s triangle * Triangle wave * Triangle inequality Objects * Triangle (instrument), a musical … Wikipedia
List of triangle topics — This list of triangle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or in triangular arrays such as Pascal s triangle or triangular matrices, or concretely in physical space.… … Wikipedia