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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.
Robert J. Shapiro (born 1953) is the cofounder and chairman of Sonecon, LLC, a United States private consultancy for economic and security-related issues that has built a reputation on a range of policy matters, including climate change, intellectual property, securities fraud, healthcare reform, demographics, the resilience of the electric ...
Career [ edit] Shapiro was a leading mathematician and computer scientist at the RAND Corporation think tank from 1959 until 1999. In the late 1960s and early 1970s Shapiro was the lead designer of one of the first computer-based mapping and cartography systems. In the 1970s Shapiro co-designed the MH Message Handling System. [3]
dollartree .com. Dollar Tree stores in the U.S., as of December 2020 [4] Dollar Tree, Inc. is an American multi-price-point chain of discount variety stores. Headquartered in Chesapeake, Virginia, it is a Fortune 500 (sometimes referred to as Fortune 200) company and operates 15,115 stores throughout the 48 contiguous U.S. states and Canada. [1]
In mathematics, the Shapiro polynomials are a sequence of polynomials which were first studied by Harold S. Shapiro in 1951 when considering the magnitude of specific trigonometric sums. In signal processing , the Shapiro polynomials have good autocorrelation properties and their values on the unit circle are small. [2]
U.S. Treasury Secretary Janet Yellen said on Saturday that a loan for Ukraine backed by the income from frozen Russian sovereign assets is the main option for G7 leaders to consider in June, but ...