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In two dimensions, 2x 1 + 2x 2 is the perimeter of a rectangle with sides of length x 1 and x 2. Similarly, 4 √ x 1 x 2 is the perimeter of a square with the same area, x 1 x 2, as that rectangle. Thus for n = 2 the AM–GM inequality states that a rectangle of a given area has the smallest perimeter if that rectangle is also a square.
Jensen's inequality generalizes the statement that a secant line of a convex function lies above its graph. Visualizing convexity and Jensen's inequality. In mathematics, Jensen's inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral of the convex function.
More specifically, the Millennium Prize version of the conjecture is that, if the elliptic curve E has rank r, then the L-function L(E, s) associated with it vanishes to order r at s = 1. Hilbert's tenth problem dealt with a more general type of equation, and in that case it was proven that there is no algorithmic way to decide whether a given ...
Caitlin Clark has reportedly declined an offer from the NBA to participate in the upcoming All-Star Weekend showcase.. According to Shams Charania of ESPN, Clark's representatives at Excel Sports ...
Princess Anne made a special visit to the hospital where she was treated after a horse-related accident to thank the staff who looked after her.. On Feb. 6, the Princess Royal, 74, returned to ...
1/2 tsp. black pepper. 1/4 tsp. kosher salt. Directions. To a blender, add the mustard, vinegar, Worcestershire sauce, anchovies, garlic, lemon juice, and egg yolk (if using). Blend on low speed ...
The less-than sign is a mathematical symbol that denotes an inequality between two values. The widely adopted form of two equal-length strokes connecting in an acute angle at the left, <, has been found in documents dated as far back as the 1560s.
2014 브라질 월드컵 개막. 순위, 일정, 자세한 경기결과를 보기위해 허핑턴포스트 월드컵 대쉬보드 체크하기.