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Statement of the inequality. Suppose is a natural number and are positive numbers and: Then the Shapiro inequality states that. where and . For greater values of the inequality does not hold, and the strict lower bound is with . The initial proofs of the inequality in the pivotal cases [2] and [3] rely on numerical computations.
Mordechai Shapiro was born on December 9, 1989 in Monsey, New York. His father was a chazzan and his mother had a background as a trained opera singer. Growing up in a Modern Orthodox household, he attended Ashar (Adolph Schreiber Hebrew Academy) for elementary school, and the Marsha Stern Talmudical Academy for high school.
Lee Shapiro, American film maker, killed by the Soviet military in Afghanistan. Lee Shapiro (musician), American keyboardist, member of The Four Seasons and founder of The Hit Men. Les Shapiro (1956–2022), American sports announcer. Linda Hopkins Shapiro, better known as Tera Patrick, former American pornographic actress.
Shapiro's lemma. In mathematics, especially in the areas of abstract algebra dealing with group cohomology or relative homological algebra, Shapiro's lemma, also known as the Eckmann–Shapiro lemma, relates extensions of modules over one ring to extensions over another, especially the group ring of a group and of a subgroup.
Jordan Shapiro (born November 15, 1977) is an American author known for his work on parenting, education, gender, and technology. Early life and ...
Josh Shapiro. Joshua David Shapiro [1] (born June 20, 1973 [2]) is an American politician and attorney who has served as the 48th governor of Pennsylvania since 2023. A member of the Democratic Party, he served as the 50th Pennsylvania attorney general from 2017 to 2023 and as a member of the Montgomery County Board of Commissioners from 2012 ...