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In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: If each box of a brand of cereals contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be bought to collect all n coupons?
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.
Zalman Mordecai Shapiro (12 May 1920 – 16 July 2016) was an American chemist and inventor. He received 15 patents, including a 2009 patent on a process to make commercial production of diamonds cheaper, [1] and played a key role in the development of the reactor that powered the world's first nuclear powered submarine, the Nautilus.
May 1—WILKES-BARRE — If Gov. Josh Shapiro and Lieutenant Governor Austin Davis are to be successful in getting more funding approved for fighting gun violence, stories like the one told on ...
The Shapiro time delay effect, or gravitational time delay effect, is one of the four classic Solar System tests of general relativity. Radar signals passing near a massive object take slightly longer to travel to a target and longer to return than they would if the mass of the object were not present. The time delay is caused by time dilation ...
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]
The Ben Shapiro Show is a daily conservative political podcast and live radio show produced by The Daily Wire and hosted by Ben Shapiro. [1] The podcast launched in September 2015. [2] As of March 2019, The Ben Shapiro Show was ranked by Podtrac as the second most popular podcast in the U.S. [3] Westwood One began syndicating The Ben Shapiro Show podcast to radio in April 2018. [4] In January ...
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]
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 ...
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