Education

Polynomials evaluated at integers by John D. Cook

Let p(x) = a0 + a1x + a2x2 + … + anxn and suppose at least one of the coefficients ai is irrational for some i ≥ 1. Then a theorem by Weyl says that the fractional parts of p(n) are equidistributed as n varies over the integers. That is, the proportion of values that land in some interval is equal to the length of that interval. Clearly it’s necessary that one of the coefficients be irrational. What may be surprising is that it is sufficient. If the coefficients are all rational with common denominator N, then the sequence would only contain multiples of 1/N. The interval [1/3N, 2/3N], for example, would never get a sample. If a0 were irrational but the rest of the coefficients were rational, we’d have the same situation, simply shifted by a0. This is a theorem about what happens in the limit, but we can look at what happens for some large but finite set of terms. And we can use a χ2 test to see how evenly our sequence is compared to what one would expect from a random sequence.

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Health

¿Qué es la malaria?

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Hair

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Tango-Caracas

El Encuentro Nacional de Tango toma Caracas del 13 al 19 de noviembre en su 3era edición @giratango

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Arts

Musician, Pianist, Composer, Singer-song writer

Wellbeing is the key! When I Higher my frequency my whole being connects with all of what I am. Music, like society and us, humans, reflects how we feel how we are and what we focus on. So!!! Sing to your self! Higher your frequency! Love and be connected. My new project is for me and for you to sing. To feel the joy and the happiness.... and feel the shift in the our energy!

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THE-POLICE

British trio's sound blended pop hooks and tricky rhythms

The Police's songs are unmistakable. Both canny and cosmopolitan, the British trio's sound blended pop hooks and tricky rhythms. Reggae beats here, African funk there, and on top of all the pulsing grooves, the keening wail of Sting's voice. The band, driven by Stewart Copeland's drums, Andy Summers' guitar, and Sting's bass, leapt from the punk underground to conquer the radio airwaves with 1978's "Roxanne." For the next several years they went on to create a wildly successful body of work that was both experimental and highly pop-wise. Maybe that's why they titled their most popular album Synchronicity, and maybe that's why — 30 years after they arrived on the scene — their reunion tour was one of the most celebrated rock events of 2008. Gordon Sumner, who got his nom de fame "Sting" because of a bee-like yellow and black jersey he wore as a young musician, had been a teacher, ditch digger, and civil servant while working with several jazz combos in Newcastle, England. It was in a British jazz club that he met American drummer Stewart Copeland. The son of a swing-loving CIA agent and an archaeologist with an appreciation for classical music, Copeland had grown up in the Middle East, attended college in California, moved to England in 1975, and joined the English progressive-rock group Curved Air. When that band broke up, Copeland formed the Police with Sting and guitarist Henri Padovani in 1977. After a few months of club dates, they replaced Padovani with Andy Summers, whose list of previous employers stretched Eric Burdon and the Animals to Neil Sedaka; a bit older than his new mates, he had also studied classical guitar in California.

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EDUCACIÓN

¿Por qué el Sr. Pitágoras no tiene apellido?

Pitágoras (Isla de Samos, actual Grecia, h. 572 a.C. - Metaponto, hoy desaparecida, actual Italia, h. 497 a.C.) Filósofo y matemático griego. Aunque su nombre se halla vinculado al teorema de Pitágoras y la escuela por él fundada dio un importante impulso al desarrollo de las matemáticas en la antigua Grecia, la relevancia de Pitágoras alcanza también el ámbito de la historia de las ideas: su pensamiento, teñido todavía del misticismo y del esoterismo de las antiguas religiones mistéricas y orientales, inauguró una serie de temas y motivos que, a través de Platón, dejarían una profunda impronta en la tradición occidental. Se tienen pocas noticias de la biografía de Pitágoras que puedan considerarse fidedignas, ya que su condición de fundador de una secta religiosa propició la temprana aparición de una tradición legendaria en torno a su persona. Parece seguro que fue hijo del mercader Mnesarco y que la primera parte de su vida transcurrió en la isla de Samos, que probablemente abandonó unos años antes de la ejecución del tirano Polícrates, en el 522 a.C. Es posible que viajara entonces a Mileto, para visitar luego Fenicia y Egipto; en este último país, cuna del conocimiento esotérico, Pitágoras podría haber estudiado los misterios, así como geometría y astronomía.

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Cantante

Ilva López, el talento hecho voz.

La voz, un don que casi todos tenemos pero que pocos tienen una voz tan suave y profunda como la de Ilva, que arrulla cantando piezas de su propia cosecha como piezas clásicas, La variedad y la alegría llegan con su voz .

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