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As of 2010, 90.2% (10,710,239) of Pennsylvania residents age five and older spoke English at home as a primary language while 4.1% (486,058) spoke Spanish, 0.9% (103,502) spoke German including Pennsylvania Dutch, and 0.5% (56,052) spoke Chinese, which includes Mandarin of the population over the age of five.
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.
The Shapiro reaction or tosylhydrazone decomposition is an organic reaction in which a ketone or aldehyde is converted to an alkene through an intermediate hydrazone in the presence of 2 equivalents of organolithium reagent. [1] [2] [3] The reaction was discovered by Robert H. Shapiro in 1967. [4] The Shapiro reaction was used in the Nicolaou ...
Shapiro was born in New Jersey. Spending his early years in New York City and New Jersey, Shapiro started his career in the early 1980s as a comedian at Catch A Rising Star on Broadway. [2] Besides performing regularly on stage, [2] throughout the 1990s he acted and starred in numerous films by Louis CK, including Tomorrow Night. [3]
Measured year over year, producer prices rose by 2.2% in April, up from 1.8% in March and the biggest increase in a year. A measure of underlying inflation, which excludes the volatile food and ...
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 ...
Friendship. A shared dark sense of humor bonds two Scorpios in friendship. Both signs are fiercely loyal and together, this duo can form a clique harder to get into than Fort Knox. Power struggles ...
Biography. Masuda was born on March 8, 1990, in Kure, Hiroshima. His family consists of his father, mother, and a younger brother. He was interested in acting from a very young age and wanted to become a voice actor during high school after watching the anime series Code Geass and Gurren Lagann, the last of which piqued his interest in that area.
Quotient Technology, Inc. (formerly Coupons.com) is an advertising technology company headquartered in Salt Lake City, Utah. It specializes in digital promotions, retail media, digital out-of-home (DOOH) advertising, social influencer marketing, display advertising and data and analytics. On September 5, 2023, Quotient was acquired by Neptune ...
Price discrimination is a microeconomic pricing strategy where identical or largely similar goods or services are sold at different prices by the same provider in different market segments. [1] [2] [3] Price discrimination is distinguished from product differentiation by the more substantial difference in production cost for the differently ...