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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.
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6 June – D-Day: United States Army Colonel R. Ernest Dupuy, news chief to Supreme Headquarters Allied Expeditionary Force, officially announces today's Normandy landings on radio in a broadcast at 3:32 am Eastern War Time (12:32 am Pacific Time ). [4] [5] BBC reports of the landings are carried by around 725 of the 914 broadcasting stations ...
Harriet S. Shapiro (September 7, 1928 – February 1, 2022) was an American attorney. She was the first female attorney in the United States Solicitor General ’s office. [1] Shapiro died on February 1, 2022, at the age of 93.
Rami M. Shapiro (26 April 1951), commonly called "Rabbi Rami", is an American Reform rabbi, author, teacher, and speaker on the subjects liberal Judaism and contemporary spirituality. [3] Early life and education [ edit ]
Florence Donald Shapiro (born May 2, 1948) [1] is an American politician from Texas. Her political career lasted over 30 years and coincided with Plano 's growth from a bedroom community of 17,000 to a city of almost 300,000 residents. After moving to Plano in 1972, she served on the Plano City Council from 1979 to 1990 and served as the city's ...