In Greek mythology, Helenus was a son of King Priam and Queen Hecuba of Troy, the twin brother of the prophetess Cassandra. He was called Scamandrios. According to legend, having been given the power of prophecy by Apollo, taught it to her brother. Like Cassandra, he was always right. Helenus was part of the Trojan forces led by his brother Hector that beat the Greeks back from the plains west of Troy, attacked their camp in the Iliad; when the Myrmidons led by Achilles turn the tide of battle and Hector is killed, foreshadowing Troy's imminent fall, Helenus - like most of the greatest heroes - survived the poem. In the final year of the Trojan War, Helenus vied against his brother Deiphobus for the hand of Helen of Troy after the death of their brother Paris, but Helen was awarded to Deiphobus. Disgruntled over his loss, Helenus retreated to Mount Ida, where Odysseus captured him, he told the Greek forces—probably out of his disgruntlement—under what circumstances they could take Troy. He said that they would win if they stole the Trojan Palladium, brought the bones of Pelops to Troy, persuaded Neoptolemus and Philoctetes to join the Greeks in the war.
Neoptolemus was hiding from the war at Scyrus. Neoptolemus had taken Andromache, Helenus's sister-in-law, Hector's widow, as a slave and concubine after the fall of Troy, fathered Molossus and Pergamus with her. After the fall of Troy, Helenus went with Neoptolemus, according to Apollodorus' Epitome 6.13. He traveled with Neoptolemus and their children to Epirus, where Neoptolemus permitted him to found the city of Buthrotum. After Neoptolemus left Epirus, he left their sons in Helenus's care. Neoptolemus was killed by Orestes, Agamemmon's son, in dispute over Hermione, the daughter of Menelaus and Helen, whom Orestes had been promised as wife, but whom Neoptolemus had taken; as the kingdom of Neoptolemus was partitioned, this led to Helenus acquiring the rule of Buthrotum, as king. "Helenus, a son of Priam, was king over these Greek cities of Epirus, having succeeded to the throne and bed of Neoptolemus." Andromache bore him a son, identified with Genger or Zenter, a legendary Trojan king and father of Francus.
Some mythographers alleged that Helenus married Neoptolemus's mother, Deidamia, as well as Andromache, in order to consolidate his claims on part of Neoptolemus' kingdom. Helenus prophesied Aeneas' founding of Rome when he and his followers stopped at Buthrotum, detailed by Virgil in Aeneid Book III; the Golden Bough Pseudo-Apollodorus, The Library with an English Translation by Sir James George Frazer, F. B. A. F. R. S. in 2 Volumes, Cambridge, MA, Harvard University Press. Online version at the Perseus Digital Library. Greek text available from the same website. Publius Vergilius Maro, Aeneid. Theodore C. Williams. Trans. Boston. Houghton Mifflin Co. 1910. Online version at the Perseus Digital Library. Publius Vergilius Maro, Bucolics and Georgics. J. B. Greenough. Boston. Ginn & Co. 1900. Latin text available at the Perseus Digital Library
In probability theory, a beta negative binomial distribution is the probability distribution of a discrete random variable X equal to the number of failures needed to get r successes in a sequence of independent Bernoulli trials where the probability p of success on each trial is constant within any given experiment but is itself a random variable following a beta distribution, varying between different experiments. Thus the distribution is a compound probability distribution; this distribution has been called both the inverse Markov-Pólya distribution and the generalized Waring distribution. A shifted form of the distribution has been called the beta-Pascal distribution. If parameters of the beta distribution are α and β, if X ∣ p ∼ N B, where p ∼ B the marginal distribution of X is a beta negative binomial distribution: X ∼ B N B. In the above, NB is the negative binomial distribution and B is the beta distribution. If r is an integer the PMF can be written in terms of the beta function,: f = B B.
More the PMF can be written f = Γ k! Γ B B. Using the properties of the Beta function, the PMF with integer r can be rewritten as: f = Γ Γ Γ Γ Γ Γ. More the PMF can be written as f = Γ k! Γ Γ Γ Γ Γ Γ Γ. The PMF is also presented in terms of the Pochammer symbol for integer r f = r α β k
Max Weisel is an American software engineer and digital artist. His experience as an iOS app developer predates the release of Apple's App Store. He's collaborated with avant garde artist Björk, to produce Biophilia, the first full-length app album. In addition his work has been featured in museums such as the New York Museum of Modern Art, he is the founder of the San Francisco-based research and development company RelativeWave, acquired by Google in 2014. MxTube, 2008 Soundrop, 2010 Biophilia, 2011 Moon Dark Matter Solstice Björk: Solstice, 2011 - A Christmas separate app. Biophilia Tour, 2012 - App Developer, Musical Director. RelativeWave, 2012 - Founded a research and development studio in San Francisco. ARTPOP App, 2013 - An app to accompany the album ARTPOP by Lady Gaga Form, 2014 - An app prototyping and development tool. Björk Software Engineering Artificial Intelligence Personal website Facebook Wired Magazine Article about Max Weisel Soundrop application in New York Museum of Modern Art Profile Björk'People' Bio