title
stringlengths
1
182
passage_id
int64
12
4.55M
section_title
stringlengths
0
402
text
stringlengths
0
99.6k
Francisco da Silva (painter)
75,668,451
Francisco Domingos "Chico" da Silva (1910 — 1985 ) was a Brazilian painter associated with naïve art.
Francisco da Silva (painter)
75,668,451
Early Life and Background
Francisco da Silva, widely known as Chico da Silva, was born to an Indigenous Peruvian father and a Brazilian mother from Ceará, northeastern Brazil. His early years were spent in the Amazon forest, where he was exposed to the rich local flora and fauna. After the death of his father, a boatman, from a rattlesnake bite, Chico moved with his mother to Fortaleza.
Francisco da Silva (painter)
75,668,451
Artistic Career
Chico began his career as a self-taught artist, initially painting birds on fishermen's houses using charcoal, chalk, and natural pigments. His unique style was discovered in 1943 by Jean-Pierre Chabloz, a Swiss art critic and artist, who supplied him with painting materials and canvases.Chabloz played a pivotal role in promoting Chico's art. In 1952, he wrote an article titled “A Brazilian Indian reinvents painting” in the French journal Cahiers d’Art, which led to Chico's widespread recognition. Chabloz organized exhibitions of Chico's work in museums across Rio de Janeiro, São Paulo, Paris, and several Swiss cities.
Francisco da Silva (painter)
75,668,451
Artistic Career
Chico's work, characterized by pointillist depictions of dragons, serpents, fish, and birds, gained popularity. Chabloz played a significant role in promoting Chico's art, selling it to collectors in Rio, São Paulo, and Europe, and featuring it in art journals. Chico's paintings were known for their bright colors and patterns, with a notable work titled “Untitled” from 1972.
Francisco da Silva (painter)
75,668,451
Artistic Career
From 1961, Chico worked at the Federal University of Ceará’s art museum and was introduced to his first dealer, Henrique Bluhm. His fame grew, leading to exhibitions at prestigious venues, including the Brazilian pavilion of the Venice Biennale in 1966 and the São Paulo Biennial in 1967.
Francisco da Silva (painter)
75,668,451
Legacy and Reassessment
Chico's work was initially celebrated for its “primitive” vision. However, later in life, he faced skepticism regarding the authenticity of his work. He died in 1985 from alcoholism, at that time largely dismissed by the art world. Recently, there has been a resurgence of interest in his work, with exhibitions and scholarly attention reassessing his contributions and the issues of authorship and autonomy in his art. Chico's legacy has recently been reassesed in its its contextual relation to Brazilian modernists, including Lygia Pape, Lygia Clark, Hélio Oiticica, and Mira Schendel.
Francisco da Silva (painter)
75,668,451
Influence
Chico da Silva is noted as one of the first Brazilian artists of Indigenous descent to achieve international recognition. His style and communal studio practice in the Pirambu neighborhood of Fortaleza have influenced contemporary Indigenous artists in Brazil, such as Denilson Baniwa and Jaider Esbell. His use of assistants and collective production in art was both innovative and controversial, challenging traditional notions of authorship in Brazilian modernism. Da Silva is the subject of a documentary produced by the Pinacoteca de São Paulo.
Francisco da Silva (painter)
75,668,451
Collections
His works are part of the permanent collection at the Pinacoteca de São Paulo and have been recently acquired by major institutions such as the Tate in London and the Centre Pompidou in Paris.
Kitasoo Spirit Bear Conservancy
75,668,460
The Kitasoo Spirit Bear Conservancy was established in 2006 surrounding Laredo Inlet on Princess Royal Island, British Columbia. The Conservancy extends to nearby islands, totalling an area of approximately 102,875 hectares. It is the largest conservancy created to protect the Spirit Bear, a subspecies of black bear that may have a white appearance and is of high significance to the Kitasoo/Xaixais peoples.
Lisa Finley-DeVille
75,668,550
Lisa Finley-DeVille is an American politician serving as a member of the North Dakota House of Representatives from the 4A district. She is a member of the Democratic-NPL.
Society of North American Goldsmiths
75,668,561
Society of North American Goldsmiths is an organization of jewelers and metal artists in North America. It is located in Eugene, Oregon.
Society of North American Goldsmiths
75,668,561
Foundation
The Society of North American Goldsmiths (SNAG) was founded in Chicago in 1969. It was formed after an initial meeting in 1968 of Robert Ebendorf, Phillip Fike, Hero Kielman, L. Brent Kington, Stanley Lechtzin., Kurt Matzdorf, Ronald Hayes Pearson, and Olaf Skoogfors. The group was formed to create a structure for conferences and exhibtions. In 1970 held its first conference in Saint Paul, Minnesota. The same year it held its first exhibition at the Minnesota Museum of Art.
Society of North American Goldsmiths
75,668,561
Activities
The organization provides workshops, competitions, and lectures to it's membership. It also provides an environment for contemporary jewelers and metalsmiths to share information.
Society of North American Goldsmiths
75,668,561
Publications
SNAG published various newsletters starting in 1975. In 1980 SNAG began producing a quarterly magazine entitled Metalsmith. It became a triannual and continues to be published.
Vista Peak (Alaska)
75,668,586
Vista Peak is a 5,019-foot (1,530 m) mountain summit in the U.S. state of Alaska.
Vista Peak (Alaska)
75,668,586
Description
Vista Peak is located 20 miles (32 km) northeast of Anchorage in the western Chugach Mountains and within Chugach State Park. Precipitation runoff from the mountain drains to Knik Arm via Peters Creek and Eagle River. Although modest in elevation, relief is significant as the summit rises approximately 4,600 feet (1,400 m) above Peters Creek in 2.5 miles (4.0 km) and 4,900 feet (1,500 m) above Eagle River in four miles (6.4 km). An ascent of the summit involves hiking six miles with 3,980 feet of elevation gain. The months of May through September offer the best time for climbing the peak. The mountain's toponym appears on USGS maps, but it has not been officially adopted by the United States Board on Geographic Names.
Vista Peak (Alaska)
75,668,586
Climate
Based on the Köppen climate classification, Vista Peak is located in a subarctic climate zone with long, cold, snowy winters, and mild summers. Weather systems coming off the Gulf of Alaska are forced upwards by the Chugach Mountains (orographic lift), causing heavy precipitation in the form of rainfall and snowfall. Winter temperatures can drop below −10 °F with wind chill factors below −20 °F.
Miguel Coley
75,668,587
Miguel Coley (born September 29, 1982) is a Jamaican football manager.
Miguel Coley
75,668,587
Early life
Coley played volleyball, cricket, and basketball.
Miguel Coley
75,668,587
Education
Coley attended Mico University College in Jamaica.
Miguel Coley
75,668,587
Career
Coley managed Jamaica College in Jamaica, helping the team win the league.
Miguel Coley
75,668,587
Personal life
Coley has worked as a physical education teacher.
Edith Woodhouse
75,668,605
Edith W. Woodhouse (c. 1860 - 30 July, 1918; née Bathgate) was a Scottish-born New Zealand artist. Her paintings are held in the Hocken Collection at the University of Otago in Dunedin.
Edith Woodhouse
75,668,605
Biography
Edith W. Woodhouse (née Bathgate) was born in 1860 in Peebles, Scotland to Mary and John Bathgate. Her father was a judge and politician. In 1883, she married John Frederick Churton Woodhouse.
Edith Woodhouse
75,668,605
Biography
Woodhouse studied at the Dunedin School of Art and took lessons in watercolour painting from Frances Hodgkins. She exhibited at the Otago Art Society (1892-1916), the Otago Industrial Exhibition (1898) and the New Zealand International Exhibition Christchurch (1906-1907). Alfred Henry O'Keeffe "wrote of her 'delicate toned' watercolours which hung in many Dunedin houses." Several of her works are now held by the Hocken Collection, University of Otago.
Edith Woodhouse
75,668,605
Biography
Woodhouse died on July 30 1918. After her death, proceeds from the sale of Woodhouse's paintings was distributed between the Presbyterian and St Mary's Orphanage.
Edith Woodhouse
75,668,605
References
American Indian Chicago Conference
75,668,612
The American Indian Chicago Conference (AICC) was an influential, week-long conclave of 460 American Indians from 90 tribes from June 13 to June 20, 1961. One convener of the event, University of Chicago anthropologist Sol Tax, the founder of "action anthropology," described the purpose of the event as helping "all Indians of the whole nation to express their own views" and to create if possible a shared declaration. Among the key organizers were William Rickard (Tuscarora) and Lacy W. Maynor (Lumbee).
American Indian Chicago Conference
75,668,612
After exchanging opinions that covered many aspects of Indian affairs, the conference created a Declaration of Indian Purpose, the first major, collective statement on tribal self-determination.
American Indian Chicago Conference
75,668,612
Representatives from the conference formally presented the declaration to President John F. Kennedy in a ceremony at the White House on August 5, 1962. The spirit of self-determination expressed in the document was a cornerstone of Native activism in the years that followed, including the Red Power movement and the expansion of Native American gaming.
American Indian Chicago Conference
75,668,612
After the White House gathering, the Indians met with Vice President Lyndon Johnson, Senator Sam J. Ervin, Jr., and Congressman Ben Riefel, himself of Lakota Indian ancestry and a founder of NCAI, in order to discuss a legislative program suggested by the Declaration of Indian Purpose.
Harpiliopsis
75,668,621
Not sure why you're here? Get started with the automated taxobox system.
Harpiliopsis
75,668,621
Harpiliopsis is a genus.
Harpiliopsis
75,668,621
Description
Harpiliopsis, meaning "harp-like form," is a genus of small shrimps belonging to the family Palaemonidae. They're known as flattened coral shrimp due to their laterally compressed bodies, adapted for life in coral reefs and crevices.
Harpiliopsis
75,668,621
Etymology
Harpia: This comes from the Latin word "harpya," which refers to the Harpies in Greek mythology. These were monstrous creatures with the bodies of birds and the faces of women, known for snatching food and tormenting people.
Harpiliopsis
75,668,621
Etymology
opsis: This part comes from the Greek word "opsis," which means "appearance" or "likeness."
Harpiliopsis
75,668,621
Taxonomy
Currently, there are about 20 recognized species of Harpiliopsis, distributed throughout the Indo-Pacific and Eastern Pacific oceans.
Harpiliopsis
75,668,621
Taxonomy
Some notable species include:
Ota (restaurant)
75,668,709
Ota is a sushi restaurant in Omaha, Nebraska.
Ota (restaurant)
75,668,709
Ota is a six-seat sushi counter that opened in July of 2023. It is known for a creative exploration of the concept of sushi.
Ota (restaurant)
75,668,709
The restaurant is owned by David Utterback, whose mother was Japanese. He owns two other Japanese restaurants in Omaha, including Yoshitomo, which opened in 2017 and is located next door to Ota in a former Subway location, and Koji, a yakitori restaurant. In 2023 Utterback was the first chef in Nebraska to be named a finalist for a James Beard Award.
Ota (restaurant)
75,668,709
In 2023 The Washington Post called Ota one of the country's best sushi restaurants.
Nina Singh
75,668,722
Nina Singh (born 11 July 1964) is an Indian Police Service officer of 1989 batch of Rajasthan cadre. First women, Director General of Central Industrial Security Force, she was DG of Rajasthan and Special Director General of Central Industrial Security Force, Additional Director General of CISF in National Board of Economic Research.
Nina Singh
75,668,722
Career
Singh got first posting as Additional Superintendent of police (ASP) in Jaipur in 1992 ,then SP of Alwar after that to many districts. . As Joint Director (2005-2013)of Central Bureau of Investigation she received President 's distinguished service medal in 2005 , , . As Additional Director General of police in Rajasthan Police Civil rights and anti human trafficking , then in Training. Special Director General of CISF in 2021 presently as Director General of CISF.
Ángel Dior
75,668,739
Ángel Rosario (born 2003), known by his stage name Ángel Dior, is a Dominican singer and rapper. Rosario was born in Santo Domingo, Dominican Republic. He was awarded in the Heat Latin Music Awards and Premios Juventud in the categories; Best Dominican Urban Artist, and Best Dembow Collaboration. He has collaborated with Rauw Alejandro, Karol G, 6ix9ine, El Alfa, Chimbala and Bad Bunny.
Ángel Dior
75,668,739
Career
In September 2022, Rosario debuted with the single "A I O", obtained more than 40 million views on YouTube, the Spanish singer Rosalía and the American rapper Cardi B, included "A I O" in her presentation during the Louis Vuitton fashion show, and presentation of the MTV Music, being sung along with Bad Bunny and Rosario at the Félix Sánchez Olympic Stadium. In October of the same year, he released his debut single "Piropi".
Ángel Dior
75,668,739
Career
In 2023, Rosario participated in the fourth studio album Mañana Será Bonito by Colombian singer Karol G, in the song OJOS FERRARI, in collaboration with Justin Quiles. In that same year he participated in the single TAMO EN NOTA in collaboration with the Puerto Rican singer Rauw Alejandro. In April 2023, he participated in the song ''WAPAE'' in collaboration with 6ix9ine, Lenier, and Bulin 47.
Ángel Dior
75,668,739
Awards and nominations
In 2023 Rosario obtained nominations at Premios Juventud in the categories: Best Dembow Song, Best Dembow Collaboration. In 2023 Rosario was nominated in the Heat Latin Music Awards, for the Musical Promise category.
William T. Shafer
75,668,756
William Thompson Shafer (February 17, 1825 – April 3, 1882) was an American politician from Pennsylvania. He served as a member of the Pennsylvania House of Representatives, representing Chester County from 1859 to 1861.
William T. Shafer
75,668,756
Early life
William Thompson Shafer was born on February 17, 1825, to Martha (née Neilor) and John Shafer. He learned the carpenter's trade. He went to school under Joseph C. Strode.
William T. Shafer
75,668,756
Career
Shafer worked as a teacher for several years. He worked in the mercantile business of Shafer's stand. He supporting his father as a clerk and, in 1849, he took over the store from his father.
William T. Shafer
75,668,756
Career
Shafer was aide-de-camp for Governor James Pollock. In that role, he attained the rank of lieutenant colonel. He was a Republican and served as a member of the Pennsylvania House of Representatives, representing Chester County from 1859 to 1861. He served as school director and as auditor of West Pikeland Township.
William T. Shafer
75,668,756
Personal life
Shafer married Mary E. Evans, daughter of Abel Evans, in 1865. They had one child, Martha.
William T. Shafer
75,668,756
Personal life
Shafer died on April 3, 1882, in West Pikeland Township. He was interred at Oaklands Cemetery in West Chester.
Cameron Farquhar McRae
75,668,767
Cameron Farquhar McRae may refer to:
Abu Iman
75,668,772
Abu Iman (born 1966) was a soldier in the Iraqi military until the 1991 Uprisings in Iraq in which he defected it. Abu Iman led the rebel forces in the Battle of Basra against the Ba’athist military. On March 6th, Abu Iman was arrested by forces belonging to the Iraqi Republican Guard, along with 50 others.
Sigrid Bazán
75,668,778
Sigrid Tesoro Bazán Narro (born September 27, 1990) is a Peruvian journalist, political scientist, pilot, feminist activist and politician. She worked as an announcer on Radio Exitosa, a news presenter on Latina Televisión and a columnist in the newspaper La República. She is currently a congresswoman of the Republic for the period 2021-2026.
Sigrid Bazán
75,668,778
She studied Political Science at the Pontificia Universidad Católica del Perú, where she was president of the Federation of University Students in 2012.
Noah Kuavita
75,668,781
Noah Kuavita (born 28 July 1999) is a Belgian artistic gymnast.
Noah Kuavita
75,668,781
Early life
Kuavita was born on 28 July 1999 in Borgerhout. His parents emigrated from Angola in 1994 during the Angolan Civil War. He began gymnastics when he was four years old.
Noah Kuavita
75,668,781
Career
Kuavita competed at the 2021 World Championships in Kitakyushu, Japan. He qualified for the all-around final alongside teammate Luka van den Keybus, marking the first time two Belgian male gymnasts qualified for the all-around final at the World Artistic Gymnastics Championships.
Noah Kuavita
75,668,781
Career
Kuavita competed at the 2021 Koper World Challenge Cup. On the parallel bars, he competed a new skill that was named after him in the Code of Points.
Noah Kuavita
75,668,781
Career
Kuavita competed at the 2023 World Championships in Antwerp. As the highest-placing gymnast on parallel bars who did not already qualify through the team or all-around, he qualified for the 2024 Olympic Games.
Noah Kuavita
75,668,781
TV Appearance
In 2018, Kuavita and teammate Jimmy Verbaeys competed on Belgium's Got Talent and reached the finals.
Noah Kuavita
75,668,781
Eponymous skill
Kuavita has a skill on the parallel bars that is named after him in the Code of Points.
Inés Páez Nin
75,668,787
Inés Páez Nin (born in 1979 in Santo Domingo), also known as Chef Tita, is a Dominican chef, activist and television personality. Owner of MoriSoñando restaurant, Páez is a member of the Dominican Chefs Association, has been a judge on several versions of the reality show MasterChef and has represented her country in different international cooking festivals.
Inés Páez Nin
75,668,787
Páez participated in the creation of the Gastronomic Diplomacy program together with the Ministry of External Relations of the Dominican Republic, with which she has visited several countries around the world promoting the gastronomic culture of her country. In 2023, she was included in the list of the 50 Powerful Women in the Dominican Republic, created by Forbes magazine.
Inés Páez Nin
75,668,787
Biography
Working as a cook since the age of seventeen, Paez graduated in Hotel Management and Tourism at the Universidad Iberoamericana UNIBE with an internship at the Tryp Bosque Hotel in Palma de Mallorca, where she worked with chef Martín Berasategui. She later obtained a diploma in Culinary Arts at the Pontificia Universidad Catolica Madre y Maestra and a certification from the Culinary Institute of America.
Inés Páez Nin
75,668,787
Biography
Representing the Dominican Republic, Páez has participated in several international gastronomic festivals like Sabores Barranquilla and the Guadalupe Gastronomic Festival in 2013, the Latin American Gastronomy Festival in New Delhi in 2014 and the Dominican Gastronomic Festival in La Florida in 2015 and 2017, among others. In 2013 she was in charge of the gala dinner of the Economic Commission for Latin America, held at the National Palace.
Inés Páez Nin
75,668,787
Biography
In 2017 she was recognized by the United States Congress "for her work to rescue, reinvent and project Dominican gastronomy". Two years later she received the Personaje Excelencia Gourmet award in a ceremony held during the International Tourism Fair in Madrid. In 2021 she received the Medal of Merit for Dominican Women in the category of culture and culinary arts, in an event held at the Eduardo Brito National Theater. In 2023 she won an award at the La Liste Special Awards in Paris, France.
Inés Páez Nin
75,668,787
Biography
She is the owner of MoriSoñando restaurant, opened in 2020 and located at Las Américas International Airport, in which "she has created a line of cuisine focused on the rescue of the native gastronomic heritage", according to Santo Domingo Times. Parallel to her work as an entrepreneur, she has participated as a guest or judge in reality shows like MasterChef República Dominicana, MasterChef Celebrity and MasterChef Junior, among others. Páez is a member of initiatives and institutions like the Dominican Chefs Association, Slow Food, Chaines des Rotisseurs, Chefs Against Hunger and Marine Stewardship Council.
Inés Páez Nin
75,668,787
Biography
Working with the Ministry of External Relations of the Dominican Republic, Paez participated in the creation of the Gastronomic Diplomacy program, through which she has visited several countries around the world to promote the culinary culture of the island. She was also responsible for promoting the island's first Gastronomic Legislation, which recognizes Dominican gastronomy as an intangible heritage of the nation.
Inés Páez Nin
75,668,787
Biography
During the Covid-19 pandemic, Páez promoted the iniciative Fogones y Gastronomía Solidaria in collaboration with the Ministry of External Relations and the Food and Agriculture Organization of the United Nations, with the aim of supplying food to health personnel and the island's poor population. Páez also founded and directs the IMA Foundation, which promotes agricultural production in local communities.
Beatmania IIDX 27: Heroic Verse
75,668,837
beatmania IIDX 27 HEROIC VERSE is the 27th installment of the beatmania IIDX series. It takes on the theme of "superheroes".
Beatmania IIDX 27: Heroic Verse
75,668,837
Release
The first location test of beatmania IIDX 27 HEROIC VERSE was held at the GAME SILK HAT location in Kawasaki, Japan from July 12th through July 15th, 2019, with a follow-up location test from August 8th to August 11th, 2019 at Comtech Tower, Aichi, Nagoya, Japan. It was released on October 16, 2019 through an online update, and upgraded "LIGHTNING MODEL" (LM) cabinets were distributed in the following months. The introduction of the alternative LM cabinet marked the first major redesign of the arcade cabinet since the series' introduction; the distribution of these cabinets also marked the first time a beatmania IIDX arcade game was released with an official North American version.
Beatmania IIDX 27: Heroic Verse
75,668,837
Gameplay
For more information about the gameplay of Beatmania IIDX in general, please refer to Beatmania IIDX#Gameplay.
Beatmania IIDX 27: Heroic Verse
75,668,837
Gameplay
Beatmania IIDX tasks the player with performing songs through a controller consisting of seven key buttons and a scratchable turntable. Hitting the notes with strong timing increases the score and groove gauge bar, allowing the player to finish the stage. Failing to do so depletes the gauge until it is empty, abruptly ending the song.
Beatmania IIDX 27: Heroic Verse
75,668,837
Gameplay
In addition to the standard 3 difficulties available for each song, BEGINNER and LEGGENDARIA difficulty settings are available for selection in the standard song wheel on songs that have charts in those difficulties.
Beatmania IIDX 27: Heroic Verse
75,668,837
Gameplay
A feature called NOTES RADAR has been added to indicate the parameters of a particular song, such as density of scratch or charge (hold) notes or severity of BPM changes. This feature is similar to the GROOVE RADAR system introduced in DDRMAX Dance Dance Revolution 6thMix.
Beatmania IIDX 27: Heroic Verse
75,668,837
Gameplay
ARENA MODE also makes a return; it was first introduced in beatmania IIDX 25 CANNON BALLERS, but was absent in 26 ROOTAGE.
Beatmania IIDX 27: Heroic Verse
75,668,837
Gameplay
Eisei dan (永世段位) courses are available only on LM cabinets; they function similar to previous dan courses as a challenge to determine one's overall skill level, with additional restrictions. To complete an eisei dan course, the corresponding dan course must be completed 5 times in a row. Failing any one time resets the player's progress, and the groove gauge is limited on each consecutive attempt to the lowest value it dropped to on the previous completed course. Clearing an eisei dan course imparts a golden glow to the player's ranking.
Beatmania IIDX 27: Heroic Verse
75,668,837
Gameplay
Three additional hidden songs are unlockable and playable only on LM cabinets.
Beatmania IIDX 27: Heroic Verse
75,668,837
Hardware
While beatmania IIDX 27 functions on standard Bemani PC cabinets used for many of the previous entries in the series, the new LM cabinets had significant upgrades on the hardware side, in addition to integrations with the software that would allow for exclusive features. LM cabinets include an additional 23 inch LCD touchscreen in the base and a 120 Hz display, replacing the original 60 Hz display used on previous models, in addition to improved CPU, RAM and GPU, which include Intel Core and Nvidia Geforce GTX components. It is the first game in the Beatmania series to run at 120 FPS.
The Mysterious Stranger (1937 film)
75,668,854
The Mysterious Stranger (Hungarian: A titokzatos idegen) is a 1937 Hungarian crime film directed by Endre Somló and starring Tivadar Uray, Zoltán Várkonyi and Gyula Gózon. It was shot at the Hunnia Studios in Budapest. The film's sets were designed by the art director István Szirontai Lhotka.
Museum of Mountain Flying
75,668,855
The Museum of Mountain Flying is an aviation museum located at the Missoula Montana Airport in Missoula, Montana focused on the history of Johnson Flying Service.
Museum of Mountain Flying
75,668,855
History
The museum was founded by Stan Cohen, Dick Komberec and Steve Smith in 1993 following the purchase of 2.8 acres (0.011 km) of land that was a boneyard of Johnson Flying Service aircraft and buildings. A hangar at the airport was borrowed for a temporary museum until a purpose build structure could be built. In the meantime, the museum acquired a C-47 that had been used to drop 12 smokejumpers who were killed in the 1949 Mann Gulch fire.
Museum of Mountain Flying
75,668,855
History
The museum moved into its 18,500 sq ft (1,720 m) R. Preston Nash Jr. Hangar in August 2002. It opened to the public two months later, 19 October 2002, shortly after receiving a 1925 White bus. The museum acquired a Travel Air 6000 that had previously been owned by Johnson Flying Service in 2013. The following May a Bell 47G that was built from parts was donated to the museum and a J-3 was added seven months after that.
Museum of Mountain Flying
75,668,855
History
In June 2018, the museum began preparing its C-47 for a flight to France as part of a flyover for the 75th anniversary of the Invasion of Normandy. As the airplane was not yet airworthy, the museum purchased another DC-3 in March 2019 for flight training.
Museum of Mountain Flying
75,668,855
History
In 2021, the museum announced it would open a new location at the Stevensville Airport and that it had acquired a Howard DGA-11.
Museum of Mountain Flying
75,668,855
History
The museum's C-47 would be named the state plane of Montana in May 2023.
Absolutely and completely monotonic functions and sequences
75,668,874
In mathematics, the notions of an absolutely monotonic function and a completely monotonic function are two very closely related concepts. Both imply very strong monotonicity properties. Both types of functions have derivatives of all orders. In the case of an absolutely monotonic function, the function as well as its derivatives of all orders must be non-negative in its domain of definition which would imply that the function as well as its derivatives of all orders are monotonically increasing functions in the domain of definition. In the case of a completely monotonic function, the function and its derivatives must be alternately non-negative and non-positive in its domain of definition which would imply that function and its derivatives are alternately monotonically increasing and monotonically decreasing functions. Such functions were first studied by S. Bernshtein in 1914 and the terminology is also due to him. There are several other related notions like the concepts of almost completely monotonic function, logarithmically completely monotonic function, strongly logarithmically completely monotonic function, strongly completely monotonic function and almost strongly completely monotonic function. Another related concept is that of a completely/absolutely monotonic sequence. This notion was introduced by Hausdorff in 1921.
Absolutely and completely monotonic functions and sequences
75,668,874
The notions of completely and absolutely monotone function/sequence play an important role in several areas of mathematics. For example, in classical analysis they occur in the proof of the positivity of integrals involving Bessel functions or the positivity of Cesàro means of certain Jacobi series. Such functions occur in other areas of mathematics such as probability theory, numerical analysis, and elasticity.
Absolutely and completely monotonic functions and sequences
75,668,874
Definitions
A real valued function f ( x ) {\displaystyle f(x)} defined over an interval I {\displaystyle I} in the real line is called an absolutely monotonic function if it has derivatives f ( n ) ( x ) {\displaystyle f^{(n)}(x)} of all orders n = 0 , 1 , 2 , … {\displaystyle n=0,1,2,\ldots } and f ( n ) ( x ) ≥ 0 {\displaystyle f^{(n)}(x)\geq 0} for all x {\displaystyle x} in I {\displaystyle I} . The function f ( x ) {\displaystyle f(x)} is called a completely monotonic function if ( − 1 ) n f ( n ) ( x ) ≥ 0 {\displaystyle (-1)^{n}f^{(n)}(x)\geq 0} for all x {\displaystyle x} in I {\displaystyle I} .
Absolutely and completely monotonic functions and sequences
75,668,874
Definitions
The two notions are mutually related. The function f ( x ) {\displaystyle f(x)} is completely monotonic if and only if f ( − x ) {\displaystyle f(-x)} is absolutely monotonic on − I {\displaystyle -I} where − I {\displaystyle -I} the interval obtained by reflecting I {\displaystyle I} with respect to the origin. (Thus, if I {\displaystyle I} is the interval ( a , b ) {\displaystyle (a,b)} then − I {\displaystyle -I} is the interval ( − b , − a ) {\displaystyle (-b,-a)} .)
Absolutely and completely monotonic functions and sequences
75,668,874
Definitions
In applications, the interval on the real line that is usually considered is the closed-open right half of the real line, that is, the interval [ 0 , ∞ ) {\displaystyle [0,\infty )} .
Absolutely and completely monotonic functions and sequences
75,668,874
Definitions
The following functions are absolutely monotonic in the specified regions.
Absolutely and completely monotonic functions and sequences
75,668,874
Definitions
A sequence { μ n } n = 0 ∞ {\displaystyle \{\mu _{n}\}_{n=0}^{\infty }} is called an absolutely monotonic sequence if its elements are non-negative and its successive differences are all non-negative, that is, if
Absolutely and completely monotonic functions and sequences
75,668,874
Definitions
where Δ k μ n = ∑ m = 0 k ( − 1 ) m ( k m ) μ n + k − m {\displaystyle \Delta ^{k}\mu _{n}=\sum _{m=0}^{k}(-1)^{m}{k \choose m}\mu _{n+k-m}} .
Absolutely and completely monotonic functions and sequences
75,668,874
Definitions
A sequence { μ n } n = 0 ∞ {\displaystyle \{\mu _{n}\}_{n=0}^{\infty }} is called a completely monotonic sequence if its elements are non-negative and its successive differences are alternately non-positive and non-negative, that is, if
Absolutely and completely monotonic functions and sequences
75,668,874
Definitions
The sequences { 1 n + 1 } 0 ∞ {\displaystyle \left\{{\frac {1}{n+1}}\right\}_{0}^{\infty }} and { c n } 0 ∞ {\displaystyle \{c^{n}\}_{0}^{\infty }} for 0 ≤ c ≤ 1 {\displaystyle 0\leq c\leq 1} are completely monotonic sequences.