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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.
Victor Lenard Shapiro (16 October 1924, Chicago – 1 March 2013, Riverside, California) was an American mathematician, specializing in trigonometric series and differential equations. He is known for his two theorems (published in 1957) on the uniqueness of multiple Fourier series .
Shapiro polynomials. 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. [1] In signal processing, the Shapiro polynomials have good autocorrelation properties and their values on the unit circle are small. [2]
Salesforce CEO Marc Benioff commented that the cloud software vendor is remaining cautious around M&A but won't shy away from deals it sees as additive.
Boeing firefighters ratified a new contract with major pay increases and expect to return to work this weekend after a lockout that has lasted more than three weeks, their union said Thursday. The ...
The drawing was made 130 years after the bridge was built. A linear scale, also called a bar scale, scale bar, graphic scale, or graphical scale, is a means of visually showing the scale of a map, nautical chart, engineering drawing, or architectural drawing. A scale bar is common element of map layouts. On large scale maps and charts, those ...
Rice–Shapiro theorem. From a modification: This is a redirect from a modification of the target's title or a closely related title. For example, the words may be rearranged. Please note that there are many more specific templates. Please use { { R from alternative spelling }}, { { R from alternative hyphenation }}, { { R from alternative ...
The 1981 NCAA Division I lacrosse tournament was the 11th annual tournament hosted by the National Collegiate Athletic Association to determine the team champion of men's college lacrosse among its Division I programs at the end of the 1981 NCAA Division I lacrosse season. North Carolina capped off a 12-0 season with its first-ever NCAA ...
Harold Seymour Shapiro (2 April 1928 [1] – 5 March 2021) was a professor of mathematics at the Royal Institute of Technology in Stockholm, Sweden, best known for inventing the so-called Shapiro polynomials (also known as Golay–Shapiro polynomials or Rudin–Shapiro polynomials) and for work on quadrature domains. [citation needed] His main ...
Optional. Launched. February 6, 1996; 28 years ago. ( 1996-02-06) Current status. Active. MapQuest (stylized as mapquest) is an American free online web mapping service. It was launched in 1996 as the first commercial web mapping service. [1] MapQuest vies for market share with competitors such as Google Maps and Here.