- published: 25 Jun 2011
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Johann Peter Gustav Lejeune Dirichlet (German: [ləˈʒœn diʀiˈkleː] or [ləˈʒœn diʀiˈʃleː]; 13 February 1805 – 5 May 1859) was a German mathematician who made deep contributions to number theory (including creating the field of analytic number theory), and to the theory of Fourier series and other topics in mathematical analysis; he is credited with being one of the first mathematicians to give the modern formal definition of a function.
Gustav Lejeune Dirichlet was born on 13 February 1805 in Düren, a town on the left bank of the Rhine which at the time was part of the First French Empire, reverting to Prussia after the Congress of Vienna in 1815. His father Johann Arnold Lejeune Dirichlet was the postmaster, merchant, and city councilor. His paternal grandfather had come to Düren from Richelette (or more likely Richelle), a small community 5 km north east of Liège in Belgium, from which his surname "Lejeune Dirichlet" ("le jeune de Richelette", French for "the youth from Richelette") was derived.
Ryan Adams (born David Ryan Adams; November 5, 1974) is an American singer-songwriter, musician, producer, poet and painter. He is best known for his prolific solo career, and as a former member of alternative country band Whiskeytown, with whom he recorded three studio albums. In 2000, Adams left Whiskeytown and released his first solo album, Heartbreaker, to critical acclaim. The album was nominated for the Shortlist Music Prize. In 2001, Adams released the UK certified-gold Gold, which included the hit single, "New York, New York".
He released five albums with the rock band The Cardinals and in 2009 he married singer-songwriter and actress Mandy Moore. Adams left The Cardinals and announced that he was taking a break from music. He resumed performing in October 2010 and released his thirteenth studio album, Ashes & Fire, on October 11, 2011. The album peaked at No. 7 on the Billboard 200. In September 2014, Adams released his fourteenth album Ryan Adams on his PAX AM label.
Adams has also produced albums for Willie Nelson, Jesse Malin, Jenny Lewis, and Fall Out Boy, and he has collaborated with Counting Crows, Weezer, Norah Jones, America, Minnie Driver, Cowboy Junkies, Leona Naess, Toots and the Maytals, Beth Orton and Krista Polvere. He has written Infinity Blues, a book of poems, and Hello Sunshine, a collection of poems and short stories.
Definition of the Dirichlet distribution, what it looks like, intuition for what the parameters control, and some statistics: mean, mode, and variance.
Dirichlet and Categorical models. Application to twitter sentiment prediction with Naive Bayes. The slides are available here: http://www.cs.ubc.ca/~nando/340-2012/lectures.php This course was taught in 2012 at UBC by Nando de Freitas
Bayesian algorithms for clustering
More info and tutorial on Dirichlet distribution here: http://www.hakkalabs.co/articles/the-dirichlet-distribution
Footage taken at the Machine Learning Summer School in Sydney, 2015. Slides for this lecture available at: http://rp-www.cs.usyd.edu.au/~mlss/content/mlss2015-adams.pdf See http://rp-www.cs.usyd.edu.au/~mlss/ for more information.
En este vídeo introducimos la función de Dirichlet y comprobamos que es una función que no es continua en ningún punto. Síguenos en Twitter y planteanos tus dudas, https://twitter.com/#!/juanmemol
Proof that sum(sin(n)/n) Converges using Dirichlet's Test