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The arithmetic mean, or less precisely the average, of a list of n numbers x 1, x 2, . . . , x n is the sum of the numbers divided by n: + + +. The geometric mean is similar, except that it is only defined for a list of nonnegative real numbers, and uses multiplication and a root in place of addition and division:
In mathematics, the following inequality is known as Titu's lemma, Bergström's inequality, Engel's form or Sedrakyan's inequality, respectively, referring to the article About the applications of one useful inequality of Nairi Sedrakyan published in 1997, [1] to the book Problem-solving strategies of Arthur Engel published in 1998 and to the book Mathematical Olympiad Treasures of Titu ...
In early Buddhist scriptures, taking refuge is an expression of determination to follow the Buddha's path, but not a relinquishing of responsibility. [3] Refuge is common to all major schools of Buddhism. Since the period of Early Buddhism, all Theravada and mainstream Mahayana schools only take refuge in the Triple Gem.
In the context of metric measure spaces, the definition of a Poincaré inequality is slightly different.One definition is: a metric measure space supports a (q,p)-Poincare inequality for some , < if there are constants C and λ ≥ 1 so that for each ball B in the space, ‖ ‖ () ‖ ‖ ().
The German government on Wednesday slashed its 2025 growth forecast for the country's economy, Europe's biggest, to just 0.3% after it shrank for two consecutive years. The new projection is much ...
Amy Schumer is spilling her bedroom secrets! Speaking exclusively to PEOPLE on the red carpet at SNL50: The Anniversary Special in New York City on Sunday, Feb. 16, the actress, 43, opened up ...
The brief statement of Hölder's inequality uses some conventions. In the definition of Hölder conjugates, 1/∞ means zero. If p, q ∈ [1, ∞), then ‖ f ‖ p and ‖ g ‖ q stand for the (possibly infinite) expressions
Ukraine's President Volodymyr Zelenskiy said on Sunday he was willing to give up his position if it meant peace in Ukraine, quipping that he could exchange his departure for Ukraine's entry into NATO.