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Barrow's inequality is a strengthened version of the Erdős–Mordell inequality in which the distances from P to the sides are replaced by the distances from P to the points where the angle bisectors of ∠APB, ∠BPC, and ∠CPA cross the sides. Although the replaced distances are longer, their sum is still less than or equal to half the sum ...
Unequal access to education in the United States results in unequal outcomes for students. Disparities in academic access among students in the United States are the result of multiple factors including government policies, school choice, family wealth, parenting style, implicit bias towards students' race or ethnicity, and the resources available to students and their schools.
Antonio Pascual Mateo was hanging lights on the property and around a tree outside a client’s home in Escondido, Calif. when he threw the string of lights over a powerline.
In mathematics, an inequation is a statement that an inequality holds between two values. [1] [2] It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation.
Despite retailers offering holiday discounts earlier than usual this year, US consumers did more shopping on Black Friday than the days leading up to it. In-store and online retail sales saw a 3.4 ...
Shrimp Dip. Whip up this nostalgic dip the day before and refrigerate it overnight. All you'll need to do is add a layer of cocktail sauce and a side of crackers for dipping.
Cauchy–Schwarz inequality (Modified Schwarz inequality for 2-positive maps [27]) — For a 2-positive map between C*-algebras, for all , in its domain, () ‖ ‖ (), ‖ ‖ ‖ ‖ ‖ ‖. Another generalization is a refinement obtained by interpolating between both sides of the Cauchy–Schwarz inequality: