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Coupon is located in the northeastern part of Gallitzin Township near the eastern border of Cambria County at the crest of the Allegheny Front, the eastern edge of the Allegheny Plateau. It is located at 40°32′12″N 78°33′54″W (40.5367356, -78.5150162), [1] about 87 miles (140 km) east of Pittsburgh and 9 miles (14 km) west of Altoona.
Coupon. In marketing, a coupon is a ticket or document that can be redeemed for a financial discount or rebate when purchasing a product . Customarily, coupons are issued by manufacturers of consumer packaged goods [1] or by retailers, to be used in retail stores as a part of sales promotions. They are often widely distributed through mail ...
The Dayton Convention Center is the primary public convention center in Dayton, Ohio, United States.. Located in downtown Dayton at 22 E. Fifth Street, the Dayton Convention Center is a 150,000 sq ft (14,000 m 2) facility with 68,000 sq ft (7,150 m 2) of exhibit space, a 672-seat theater, and 19 meeting rooms including a VIP lounge overlooking the exhibit halls.
Government website. 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 ...
Daniel Benjamin " Dan " Shapiro [1] (born August 1, 1969) is an American diplomat who served as United States Ambassador to Israel from 2011 to 2017. He was nominated by President Barack Obama on March 29, 2011, and confirmed by the Senate on May 29. [2] [3] He was sworn in as ambassador by Secretary of State Hillary Clinton on July 8, 2011. [4]
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.