The music of most hit songs is pretty well known, but sometimes there are mysteries. One question that remained unanswered for over forty years is: What instrumentation and notes make up the opening chord of the Beatles. "A Hard Day.s Night"? Mathematician Jason Brown - a big Beatles fan - recently solved the puzzle using his musical knowledge and discrete Fourier transforms, mathematical transformations that help decompose signals into their basic parts. These transformations simplify applications ranging from signal processing to multiplying large numbers, so that a researcher doesn.t have to be "working like a dog" to get an answer. Brown is also using mathematics, specifically graph theory, to discover who wrote "In My Life," which both Lennon and McCartney claimed to have written. In his graphs, chords are represented by points that are connected when one chord immediately follows another. When all songs with known authorship are diagrammed, Brown will see which collection of graphs - McCartney.s or Lennon.s - is a better fit for "In My Life." Although it may seem a bit counterintuitive to use mathematics to learn more about a revolutionary band, these analytical methods identify and uncover compositional principles inherent in some of the best Beatles. music. Thus it.s completely natural and rewarding to apply mathematics to the Fab 4 For More Information: Professor Uses Mathematics to Decode Beatles Tunes, "The Wall Street Journal", January 30, 2009..

euromicron AG, a medium-sized technology group and expert on digital networking of business and production processes, held its Annual General Meeting 2019 in Frankfurt/Main on August 29, 2019. 42 percent of the share capital was represented. At the Annual General Meeting, the Executive Board reported on the operating performance in fiscal year 2018 and in the first half of 2019 and gave an outlook on the current fiscal year. One focus was on the implementation of the measures initiated to focus on and further develop the business model.

Growth at any cost is, well, costing us — and we can’t rely on the marketplace to solve the earth’s problems.

Nobel Laureate Joseph E. Stiglitz asks whether “Davos man” — rich, and powerful, perhaps out of touch, but representative of the global elite — has become more enlightened.

Hazy CEO Harry Keen explains why artificially produced data is gaining favour over information generated by real-world events

Esther McVey said the government will release local data on properties and land to help the proptech sector thrive

What happens when a service you shared your personal data with is acquired by a giant corporation?

Montreal, 26 September 2008 - The province of Santa Elena, the newest province in Ecuador, emerged as the first jurisdiction in the world to proclaim a provincial day for protected areas, the Prefecta of the province, Ms. Ana Triviño Cisneros, has announced. To be celebrated annually on 23 September, the Day celebrates the designation of a new marine protected area off Ecuador's coast aimed at conserving about 47,000 hectares of some of the world's most spectacular biodiversity.