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Multivariate normal distribution

In probability theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional normal distribution to higher dimensions. One definition is that a random vector is said to be k-variate distributed if every linear combination of its k components has a univariate normal distribution, its importance derives from the multivariate central limit theorem. The multivariate normal distribution is used to describe, at least any set of correlated real-valued random variables each of which clusters around a mean value; the multivariate normal distribution of a k-dimensional random vector X = T can be written in the following notation: X ∼ N, or to make it explicitly known that X is k-dimensional, X ∼ N k, with k-dimensional mean vector μ = E ⁡ =, k × k covariance matrix Σ i, j:= E ⁡ = Cov ⁡ such that 1 ≤ i, j ≤ k. The inverse of the covariance matrix is called the precision matrix, denoted by Q = Σ − 1.

A real random vector X = T is called a standard normal random vector if all of its components X n are independent and each is a zero-mean unit-variance distributed random variable, i.e. if X n ∼ N for all n. A real random vector X = T is called a centered normal random vector if there exists a deterministic k × ℓ matrix A such that A Z has the same distribution as X where Z is a standard normal random vector with ℓ components. A real random vector X = T is called a normal random vector if there exists a random ℓ -vector Z, a standard normal random vector, a k -vector μ, a k × ℓ matrix A, such that X = A Z + μ. Formally: Here the covariance matrix is Σ = A A T. In the degenerate case where the covariance matrix is singular, the corresponding distribution has no density; this case arises in statistics. The X i are in general not independent.

DeWanna Bonner

DeWanna Bonner is an American professional basketball forward for the Connecticut Sun of the Women's National Basketball Association. Born on August 21, 1987 to LaShelle Bonner and Greg McCall, she has three siblings, sister Vin'Centia Dewberry, brother Justin McCall, sister Erica McCall. Bonner majored in Psychology at Auburn University. In November 2014 Bonner married fellow WNBA player Candice Dupree. In April 2017, it was confirmed Bonner was expecting the couple's first child and will miss the 2017 WNBA season. Bonner and Dupree gave birth to twin daughters in July 2017. Bonner attended high school at Fairfield High School in Alabama, she was participated in their All-America games. She earned USA Today Junior All-America and was the Gatorade Alabama Player of the Year while at Fairfield High School, she was featured in USA Today as one of the top 25 recruits in the nation during summer of 2005. Bonner went to Auburn University, she was named to the SEC All-Freshman Team. She scored in double figures in 22 games during the 2005–06 season and led the Tigers with a 13.5 points per game average, the first time since 1980–81 that a freshman led the team in scoring.

This led Bonner to join the youth teams of US basketball, winning the 2006 FIBA Americas Under-20 Championship for Women and the FIBA Under-21 World Championship for Women one year later. Bonner went on to put together one of the most impressive careers at Auburn; the 2009 SEC Player of the Year and a National Player of the Year finalist, she broke the Auburn career scoring record during the Ole Miss game at the SEC Tournament. She finished her career with 2,162 points, nearly 100 more than the former school record, she finished her career as one of Auburn's top rebounders, taking second all-time with 1,047 rebounds, placing her among three Tigers to finish their career with more than 2,000 points and 1,000 rebounds. Listed in the top 10 in every major statistical category at Auburn, she ranks sixth in blocks, seventh in steals, first in free throws, fourth in field goals and 10th in 3-pointers. Bonner led the SEC in scoring that season, becoming the first Auburn player to earn the honor, she ranked 10th in the country in scoring while setting the Auburn single-season scoring record with 716 points, 21.1 per game.

She went on to earn WBCA/State Farm, USBWA, AP and ESPN.com All-America honors and was voted the Alabama Sports Writers Association Amateur Athlete of the Year. Source Bonner was selected 5th overall in the 2009 WNBA Draft by the Phoenix Mercury. In her first regular season game with the Mercury, Bonner scored 16 points. October 9, 2009, as a rookie, Bonner scored 13 points to contribute toward the 2009 championship. On September 12, 2014, Bonner won her second WNBA Championship, with 12 points, 9 rebounds and 3 assists. In 2017 Bonner sat out the whole season due to pregnancy, she would be voted into the 2018 WNBA All-Star Game. On in the season, the Mercury made the playoffs as the fifth seed and were one game away from reaching the finals as they lost in five games to the Seattle Storm in the semi-finals. On February 11th, 2020 Bonner was traded to the Connecticut Sun for 3 first round draft picks. During the WNBA offseason, Bonner has played in the Czech Republic for BK Brno, Spain for Baloncesto Rivas and CB Avenida, Russia for Nadezhda Orenburg

Ralph 124C 41+

Ralph 124C 41+, by Hugo Gernsback, is an early science fiction novel, written as a twelve-part serial in Modern Electrics magazine, which Gernsback edited, beginning in April 1911. It was compiled into novel/book form in 1925. While it pioneered many ideas found in science fiction, it has been critically panned for its "inept writing"; the title itself is a play on words, meaning "One to foresee for one another". In the introduction to the first volume of Science-Fiction Plus, dated March 1953, Gernsback called for patent reform to give science fiction authors the right to create patents for ideas without having patent models because many of their ideas predated the technical progress needed to develop specifications for their ideas; the introduction referenced the numerous prescient technologies described throughout Ralph 124C 41+. The eponymous protagonist saves the life of the heroine by directing energy remotely at an approaching avalanche; as the novel goes on, he describes the technological wonders of the modern world using the phrase "As you know..."

The hero rescues the heroine by travelling into space on his own "space flyer" to rescue her from the villain's clutches. Some successful predictions from this novel include television, remote-control power transmission, the videophone, transcontinental air service, solar energy in practical use, sound movies, synthetic milk and foods, artificial cloth, tape recorders, spaceflight, it contains "...the first accurate description of radar, complete with diagram...", according to Arthur C. Clarke in his "non-genre" novel Glide Path. "A pulsating polarized ether wave, if directed on a metal object can be reflected in the same manner as a light-ray is reflected from a bright surface or from a mirror..." Some of the science predictions made in the story turned out to be wrong. For example, in 1911 it was assumed that, just as a sound wave needed a medium to travel in, so did a light wave. Ether was postulated as the unknown substance. In the story an ether vacuum occurred. Radiation caused more ether to be drawn to an area of energy expenditure and the lack of ether resulting from this overusage caused a temporary blackout because light could not travel where there was no ether.

Heat and cold could not be transferred during such a blackout. It is now known that such ether is not needed for light to travel; such effects are impossible. Though Ralph 124C 41+ has been described as pioneering many of the tropes and ideas found in science fiction works, it has been neglected due to what critics describe as poor artistic quality. Brian Aldiss has called the story a "tawdry illiterate tale" and a "sorry concoction" while Lester del Rey called it "simply dreadful". Martin Gardner referred to the book as "surely the worst SF novel written". Groff Conklin more generously described it as "thoroughly delightful... the genuine charm of a sound, workmanlike antique."Reviewing the 1950 Frederick Fell edition in the New York Times, Rex Lardner wrote that while the "fine" novel "contain a good deal of sound prophecy... it has a narrative style as quaint as the retarder on a Hupmobile." Everett F. Bleiler noted that "The literary treatment is on a low level, but Ralph 124C41+ is renowned for its many imaginative technical projections."While most critics have little positive to say about the story's writing, Ralph 124C 41+, Gary Westfahl, one of the book's few public defenders, considered it "essential text for all studies of science fiction" and The Economist called it "arguably the first major work of American science fiction".

According to Westfahl, "the novel merits attention because of the ways Gernsback uneasily blended several generic models – melodrama, the travel tale, Utopia touches of Gothic and Satire – in an effort to achieve a workable vehicle for a story emphasizing scientific facts and predictions. In this way, the novel foreshadows and makes explicit many of the generic tensions that permeate sf." Accelerated Plant Growing Farms: Huge greenhouse farms used to feed the growing Earth population. They can grow five harvests per year as opposed to normal harvests of two in 1911. Aeroflyer: A small flying transport that can reach speeds of up to 600 mph. Appetizer: A large waiting room in more scientifically advanced restaurants; the room is flooded with gases. Automatic-Electric Packing Machines Bacillatorium: A decontamination chamber for the home, it uses fictional Arcturium rays to kill bacteria, which can extend a person's total life expectancy to 120–140 years. Electromobiles: Basically an electric car that receives energy through a collector mast from city generators.

Gyroscope: This is used to fly to other planets. Rocket propulsion is not mentioned at all; the rotation of a gyroscope can be used to counter vertical gravity. Helio-Dynamophores: Basically solar panels. To minimize atmospheric interference, Meteoro-Towers are used. Hypnobioscope: A sleep learning device. Information is recorded on black film as a white wavy line, transmitted to the sleeper via wires into a headband with metal plates. Language Rectifier: A real-time translator built into the Telephot. Luminor: An automated lighting system that responds to voice commands to activate and change intensity of illumination; this is an example of fluorescent lighting or cold light, but the term fluorescent lighting is not used in the story. Menograph: A device that can record a person's thoughts in writing using a type of mind-script. Money: The value of money is based on the faith and credit of the government, it can be dis

Campo Grande (Lisbon Metro)

Campo Grande is an elevated interchange station on the Yellow and Green Lines of the Lisbon Metro. It has a large bus terminal at ground level and is located on Rua Cipriano Dourado just north of Avenida General Norton de Matos in the Lisbon parish of Campo Grande; the station adjoins Estádio José Alvalade home of Sporting Clube de Portugal. Nearby destinations include Pimenta Palace, Rafael Bordalo Pinheiro Museum, Universidade Lusófona and northern access to the Faculty of Sciences, University of Lisbon; the station opened on April 1, 1993. The architectural design is by Ezequiel Nicolau with murals and art installations by Eduardo Nery; the station is not accessible for people with physical disabilities. 207 Cais do Sodré ⇄ Fetais 701 Campo Grande ⇄ Campo de Ourique 717 Praça do Chile ⇄ Fetais 736 Cais do Sodré ⇄ Odivelas 747 Campo Grande ⇄ Pontinha 750 Estação Oriente ⇄ Algés 767 Campo Mártires da Pátria ⇄ Reboleira 778 Campo Grande ⇄ Paço do Lumiar 796 Campo Grande ⇄ Galinheiras 798 Campo Grande ⇄ Galinheiras 201 Campo Grande ⇄ Caneças 300 Campo Grande ⇄ Sacavém 311 Campo Grande ⇄ Bairro das Coroas 312 Campo Grande circulação via Charneca 313 Campo Grande circulação via Sacavém 315 Campo Grande circulação via Bairro da Bogalheira 329 Campo Grande ⇄ Quinta da Piedade 331 Campo Grande ⇄ Bucelas 333 Campo Grande ⇄ Zambujal 334 Campo Grande ⇄ Infantado 335 Campo Grande ⇄ Bucelas via Fanhões 336 Campo Grande ⇄ Bucelas via Ribas 337 Campo Grande ⇄ Tojal 344 Campo Grande ⇄ Bucelas 353 Campo Grande ⇄ Vialonga 354 Campo Grande ⇄ Vialonga (Quinta da Maranhota via Infantado 901 Campo Grande ⇄ Caneças 931 Campo Grande ⇄ Pontinha via Centro Comercial List of Lisbon metro stations Media related to Metro station Campo Grande at Wikimedia Commons

Joseph Merrill Currier

Joseph Merrill Currier was a Canadian member of parliament and businessman. He was born in North Troy, Vermont in 1820 and moved to Canada in 1837, where he began work in the timber trade. In the late 1850s and early 1860s, he set up a sawmill and gristmill operation at Manotick, Ontario with Moss Kent Dickinson, he operated his own lumber business in New Edinburgh from 1853 to the late 1860s and was a partner in the Wright and Currier Company with Alonzo Wright which operated a saw mill at Hull, Quebec. In 1868, Currier built a house at 24 Sussex Drive, for his third wife Hannah Wright, now used as the official residence for the Prime Minister of Canada. Currier named the house Welsh for place of rest. Currier became a member of the city council for Ottawa in the 1860s. In 1863, he was elected as a representative for Ottawa in the Legislative Assembly of the Province of Canada, he supported Confederation and continued to represent Ottawa in the Parliament of Canada until 1882. During that period, he was forced to resign on April 16, 1877 because his firms had done business with the government of Canada.

From 1872 to 1877, he was president of the Citizen Printing and Publishing Company which produced the Ottawa Daily Citizen. He was president of two railway companies in the Ottawa area, the Ottawa and Gatineau Valley Railway and the Ontario and Quebec Railway, he was connected with many other companies in the construction and insurance industries. He began encountering financial problems in the 1870s and, in 1878, when the saw mill in Hull burned, he was bankrupt, he was appointed postmaster of Ottawa in May 1882. He is buried in Beechwood Cemetery. Currier had three wives: Christina Wilson whom he married in 1846 and who died in 1858, he brought her to Manotick a month later. While viewing the machinery in the mill, Ann's dress became caught in a shaft and she was thrown against a wooden post, she died from the impact to her head. Currier is said to have never visited Manotick again and he cut his ties to the business there in 1863, selling his shares of the mill to Dickinson. According to local legend, Ann's ghost continues to haunt Watson's Mill in Manotick.

Halpenny, Francess G, ed.. "Joseph Merrill Currier". Dictionary of Canadian Biography. XI. University of Toronto Press. Joseph Merrill Currier – Parliament of Canada biography

Rio Negro State Park South Section

Rio Negro State Park South Section is a State park in the state of Amazonas, Brazil. It protects an area of Amazon rainforest to the east of the Rio Negro, home to the endangered pied tamarin; the area was reduced in 2001 and was further reduced in 2014 to create a sustainable development reserve for the people, living there since before the park was created. The Rio Negro State Park South Section is in the municipality of Manaus in the state of Amazonas; the park is about 40 kilometres from the city of Manaus, accessible from there by boat. It has an area of 86,601 hectares; the park is near the right bank of the Rio Negro near the point where it joins the Amazon River, set back about 5 kilometres from the river. The Rio Negro in this region is protected by the Anavilhanas National Park; the Margem Esquerda do Rio Negro Environmental Protection Area surrounds the park on the west and east. The Cuieiras River defines its south and east boundary; the Puranga Conquista Sustainable Development Reserve is to the south of the park, on the opposite side of the Cuieiras.

The Rio Negro State Park South Section is in the central Amazonia corridor, in the Lower Rio Negro Mosaic. It protects part of the basin of the Cuieiras river; the river and the Araras and Jaraqui streams, tributaries of the Rio Negro, are low-lying and have flooded mouths. The main plant formations are Igapó dense terra firma forest and Campinarana. Wildlife is diverse, it includes the pied tamarin, an endemic primate, in the south of the park and the red-handed tamarin on the right bank of the Cuieiras. The two sections of the Rio Negro State Park were created by state governor Amazonino Mendes by decree 16.497 of 2 April 1995 with the stated purpose of preserving its natural ecosystems without alteration and supporting scientific, cultural and recreational activities. Tourism was the primary purpose; the state park had a total area of 436,042 hectares of which the north section had an area of 178,620 hectares and the south section had an area of 257,422 hectares. Law 2646 of 22 May 2001 signed by governor Amazonino Mendes, reduced the areas of both sections.

The north section now had 146,028 hectares and the south had 157,807 hectares. The original sections had both extended along both banks of the Rio Negro. With the revised boundaries the north section was reduced to a smaller part of the right bank of the Rio Negro, although it now extended further to west, the south section was reduced to a smaller part of the left bank of the river, it became part of the Central Amazon Ecological Corridor, established in 2002. The park is administered by the Centro Estadual de Unidades de Conservação do Amazonas; the consultative council for the south section was created on 22 November 2010. The conservation unit is supported by the Amazon Region Protected Areas Program; when the state park was created the existing population of indigenous and non-indigenous people was not taken into account. A long campaign for regularisation of property rights began. On 28 December 2010 a law was passed to allow the lands occupied by traditional populations in the park to become a sustainable development reserve.

On 24 March 2014 a law created the Puranga Conquista Sustainable Development Reserve and changed the limits of the Rio Negro State Park South Section and the Aturiá-Apuauzinho section of the Margem Esquerda do Rio Negro Environmental Protection Area. The area of the state park was reduced to 86,601 hectares