ejaasaari/simplewiki-2025-04-01 huggingface dataset:
In physics, angular frequency," ω, "(also called the angular speed, radial frequency, and radian frequency) is a measure of rotation rate. A high rate of angular frequency means something is turning very fast. The angular frequency is the magnitude of the vector quantity angular velocity which is also known as angular frequency vector formula_1.  It is useful in many areas of maths and science as it allows understanding of many properties of physical objects in our world. In SI units, angular frequency is measured in radians per second, with dimensions t−1 since radians are dimensionless.  Theory. Angular frequency is often given in radians per second (formula_2) as it is easier to work with. In this way, the angular frequency is given by,   formula_3  where formula_4 is the time (period) of a single rotation (revolution) and formula_5 is the frequency. This can be derived by considering formula_6 when formula_7 and formula_8. If a wheel turns by an angle formula_9 in a time formula_10 then the angular frequency at any moment is given by,   formula_11  If the rotation speed is constant, this becomes,   formula_12  and so it is similar to a speed.  For objects which are going in circles, the angular frequency may also be given as (in radians),   formula_13  where formula_14 is the speed and formula_15 is the distance from the center of the circle. This can be derived by considering formula_16 where formula_17 is the distance along the arc. Thus   formula_18  where formula_19 is the velocity. Examples. The angular frequency is important in determining whether an object can stay above the ground against gravity, or whether a spinning top can stay standing. It also is important in creating the frequency of mains electricity supplies and reducing the heat due to friction in engines.  Satellites. Objects are pulled towards the earth because of gravity. To oppose this, a satellite must go fast enough it misses the ground. For the forces to equal each other,   formula_20  where formula_21 is the mass of the larger body and formula_22 is the
In physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under a proper rotation, but gains an additional sign flip under an improper rotation (a transformation that can be expressed as an inversion followed by a proper rotation). Physical examples. Physical examples of pseudovectors include the magnetic field, torque, vorticity, and the angular momentum.
Twister is a 1996 American disaster movie directed by Jan de Bont, and based upon a screenplay by Michael Crichton and Anne-Marie Martin. It follows a group of storm chasers attempting to prevent all tornadoes from destroying everything in Oklahoma. The movie has a famous scene of a flying cattle. It is a scene that was the subject of many parodies. It was the first movie to be commercially released on DVD and the last movie released on HD DVD. A standalone sequel, "Twisters" was released in 2024. Home media. "Twister" was released in VHS by Warner Home Video in October 1996. It was later released on DVD on March 26, 1997. It is considered to be the first home release of a movie to use this now widely-used optical media technology.
A spoke is one of several rods radiating from the center of a wheel (the hub where the axle connects), connecting the hub with the round traction surface.  The term originally meant the portions of a log which one had split lengthwise into four or six sections. The radial members of a wagon wheel were made by carving a spoke (from a log) into their finished shape. Eventually, the term spoke was applied to the finished product of the wheelwright's work. Other websites. These pages are in German:
An examination (exam) is a test. Many things may be examined, but the word is most often used for an assessment of a person. It measures a test-taker's knowledge, skill, aptitude, physical fitness or ability or standing in some other topic. It is a set of questions designed to measure those things. Examinations change and evolve. They have been used since ancient times. In its widest sense, to examine is to look at something very carefully, perhaps to find the cause of a problem. Someone who is ill may need to go to a doctor for a medical examination. A mechanic may examine a machine to find why it is not working properly. In education an examination is a test to show the knowledge and ability of a student. A student who takes an examination is a candidate. The person who decides how well the student has performed is the examiner. An examination may be a written test, an on-screen test or a practical test. Examples of a practical test may be: driving a car, speaking a language, playing a musical instrument and doing a scientific experiment. An on-screen test is a test which uses the computer. If the candidate is successful he will have passed the examination. If he is unsuccessful he will have failed. In some cases it is possible for a student who has failed to take the exam again another time. A student who passes an examination may get a certificate or diploma. Some certificates are professional qualifications, allowing the person to do a particular job, e.g. plumber, teacher, doctor, lawyer.
The Irish Republic (Irish: "Saorstát Éireann" ) was a declared independent state of the United Kingdom in the Easter Rising of 1916 and established in 1919 by the First Dáil. It only existed during the Irish War of Independence of 1919-1922 between the Irish Republican Army and the forces of the United Kingdom. It formally ceased to exist in 1922 with the ratification of the Anglo-Irish Treaty that ended the war, when 26 of the country's 32 counties became the Irish Free State and the other six remained within the United Kingdom as Northern Ireland. Sinn Féin refused to accept the treaty, said that the Irish Republic existed, even if it did not control any territory. This is why elected Sinn Féin TDs never took their seats in the parliaments of the Irish Free State or the United Kingdom Name. In English, the revolutionary state was known as the 'Irish Republic'. Two different Irish language names were used:  "Saorstát Éireann" was also the official Irish title of the Irish Free State. Government of the Irish Republic. Legislature. This was Dáil Éireann. It was made up of the majority of Irish Members of Parliament elected in the 1918 general election. Two further general elections called by the Lord Lieutenant of Ireland, the head of the British administration in Dublin Castle, were treated by nationalists as elections to the Dáil. The Second Dáil's members were elected in the 1921 elections for the Parliaments of Northern Ireland and Southern Ireland; the Third Dáil was elected in 1922 as the provisional parliament of Southern Ireland, as provided for by the Anglo-Irish Treaty. At its first meeting the Dáil adopted the Dáil Constitution. It also passed a Declaration of Independence. Ministers. The Dáil Constitution gave executive authority in a cabinet called the "Aireacht" or "Ministry". The Aireacht' head was first known as the "Príomh Aire". He in turn appointed the ministers. According to the original version of the constitution enacted in January 1919, there were to be four ministers
Super Smash Bros. Brawl (commonly known as SSBB or Brawl) is the third video game in the "Super Smash Bros." series. It was made by Sora and published by Nintendo for the Wii video game console. Gameplay. Characters. There are 39 characters in "Brawl". 25 characters are unlocked at the start, and 14 characters are hidden and have to be unlocked by the player. Most of the characters from the second game in the series, "Super Smash Bros. Melee", are also in Brawl. Some characters from "Melee" (Mewtwo, Roy, Dr. Mario, Pichu, and Young Link) are not in Brawl. Two new characters (Solid Snake and Sonic the Hedgehog) were in games that Nintendo did not own. The game is best known for the tripping mechanic (fighters will trip at random when running), introducing third-party characters, and the Smash Ball Items. Like the other "Super Smash Bros." games, items appear in the middle of the game that characters can use. However, "Brawl" adds many more items, such as the "Assist Trophy" (where a character appears to help players defeat opponents) and the "Smash Ball", an item that lets players use a powerful attack called a "Final Smash".
Final Fantasy Tactics Advance is a role-playing game made by Square Enix for the Nintendo Game Boy Advance. The story of the game is about four children who are pulled into their friends' dream by a magical book. The player plays as the boy Marche, his friend Montblanc, and many other characters who can join a player's group.
X-Men is a 2000 superhero movie based upon the fictional characters the X-Men. The movie is about mutants who are the next evolutionary step of humanity. These mutants are feared and hated by most of humanity. The movie was directed by Bryan Singer. It deals with the ideas of prejudice and discrimination in the United States. The screenplay was written by David Hayter. A sequel, "X2", was released in 2003 and a third movie, ', was released in 2006. A fourth film, '. A prequel trilogy has been made, the prequel series is currently formed by ', ' and "Dark Phoenix". Plot. Professor Charles Xavier (the world's most powerful telepath) takes gifted children and teaches them to control their powers for good. He does this at Xavier's Academy for Gifted Youngsters, his school for mutants. This school is the home to the X-Men. The story is about the X-Men trying to stop Erik Lehnsherr (also known as Magneto), a mutant who blames humanity for the death of his family during the Holocaust. Magneto does not believe that humans and mutants can live together in peace. He builds a machine that turns humans into mutants. Cast. Filming. Filming took place from September 22, 1999 to March 3, 2000 in Toronto. Wolverine's claws required a full silicone cast of Hugh Jackman's arm, and 700 versions for Jackman and his stunt doubles. Music. Bryan Singer asked John Williams to compose the music for the movie, but Williams was too busy composing for "Saving Private Ryan". Reactions and box office. The movie was one of the biggest hits of 2000. It earned more than $296 million worldwide and was the 8th highest grossing movie in the United States that year.
Kingston upon Hull is usually called just Hull. It is an English city. It is the "unitary authority" for the region of Yorkshire and the Humber. The region is in the Ceremonial county of the East Riding of Yorkshire.  The city is on the North side of the River Hull where it meets the Humber Estuary (see diagram), from the North Sea. Hull has been a market town, military supply port, trading centre, fishing and whaling port, and industrial giant. Hull was also an early battleground in the English Civil Wars, and was the backdrop to events leading to the abolition of the slave trade in Britain. Hull was heavily damaged during the Second World War, and after a period of decline, when many factories closed; the city has started to regenerate. The Port of Hull is one of the UK's largest goods and passenger ports. History. Meaux Abbey was founded between 1150 and 1179. This is the earliest date people are known to have lived in the area. Edward I used the port to help supply his troops when he was fighting the Scots. as a site from which to supply his troops as they engaged their northern foes The king granted a royal charter, dated 1 April 1299, that renamed the settlement of Wyke to "King's town upon Hull", or Kingston upon Hull. The charter remains preserved in the archives of the city's Guildhall. In 1440, a new charter allowed the town to choose a mayor, a sheriff, and twelve aldermen to run its own affairs. The charter also said that the aldermen also be justices of the peace (that is, judges) for the town and its county. Hull's port grew busier in the Middle Ages, sending wool, cloth, and leather to north Germany, towns on the Baltic Sea, and the Low Countries, bringing back timber, wine, furs, and dyes. Sir William de la Pole was the town's first mayor. The town grew rich during the 16th and early 17th centuries. At this time Wilberforce House was built. It is now a museum about William Wilberforce. who campaigned to abolish the slave
In the United Kingdom, a riding is a division of certain large historic counties. It is usually one of three parts; the word itself comes from Old English "trithing" (itself from Old Norse "thrithjungr") which means 'third part'. Several counties are divided into ridings, but are usually governed by a council bearing the same name as the county. However, the ridings of Yorkshire are so large that each riding was given its own county council. Thus there were county councils for the East Riding, the North Riding and the West Riding. In 1974 when all the administrative counties of England and Wales were reorganised, these councils were replaced by six new ones within Yorkshire (either wholly or in part) called North Yorkshire, South Yorkshire, West Yorkshire, Cleveland, Durham and Humberside. In Canada, a riding is a federal constituency, or "electoral division" as they are known in Canada.
Pulkkila is a former municipality in Northern Finland. It was in Northern Ostrobothnia, "Pohjois-Pohjanmaa", Oulu province, Finland, and its original name (with diacritics) is Pulkkila. The population of Pulkkila is about 1,600. Pulkkila is best known for its metal works.  Pulkkila is about 90 kilometres (56 miles) south from Oulu and 250 kilometres (160 mi) north from Jyväskylä. Since 2009, it was merged to form the new municipality of Siikalatva. It was founded in 1867.
Emmental cheese (sometimes also called Emmentaler or Emmenthal) is a Swiss cheese. It first came from Switzerland. It is named after the "Emmental", the valley of a river, near Berne. Emmental cheese was first made around 1353 when Bern joined the confederacy.  Today, most cheese-producing countries make a cheese called "Emmental cheese" - These cheeses often have little in common with the original though, except for the holes in the cheese. In 1882 was the first time, products could be protected in Europe. Already at that time, Emmentaler was made in countries other than Switzerland. Emmental cheese is amongst the best-known types of cheese. It is made from cow's milk. Two of the features that make Emmental distinctive are its holes and sweetness. The holes are there because of the way the cheese is made with bacteria which produce the cheese and over time (usually several months) create bubbles of carbon dioxide gas. Today, Switzerland, France, Austria, and Germany produce Emmental cheeses that have a Protected Designation of Origin. In Switzerland, Austria and Germany, untreated milk is used; most of the other countries use pasteurized milk. About 12 litres of milk are needed to make 1 kg of cheese. Emmental is produced in loaves of 70–80 kg. Usually, Emmental cheese is left to ripen for a period of 6–7 weeks. Ripening it for 8–12 weeks gives a more spicy (salty) cheese. In Europe, about 464 200 tons of Emmental are produced each year. This means that about 6% of the total amount of milk these countries produce is used to make Emmental cheese. France is the biggest producer of Emmental. In 2005, 247 069 tons were produced there. For this, 13.1% of national milk production was used. About 19% of the production was exported. French and Swiss people eat the most of this kind of cheese, about 3.3 kg per person per year. Germans eat about half that amount, 1.7 kg per person, per year. Emmental is also widely used in convenience food products, because it is so widely known.
Emmental is a part of Switzerland. It is made of low hills. Most of it is in the Canton of Berne. Its biggest rivers are the Emme and the Ilfis. The biggest localities are Burgdorf, Langnau and Huttwil.  The landscape is mostly made of meadows. There are some forests too. Most of the people live from raising cattle (mostly cows), or from things closely related to cattle-raising. Emmental cheese has its name from this region. Langnau is known for Ceramics. Pottery from the region is also well-known. There is also some industry. The Emmental had one of the first fully-electric railway lines in Switzerland. Jeremias Gotthelf was a famous writer who spent most of his life in the Emmental.
The 2001 Pacific hurricane season officially started on May 15, 2001 in the eastern Pacific, and on June 1, 2001 in the central Pacific, and lasted until November 30, 2001. These dates conventionally delimit the period of each year when most tropical cyclones form in the northeastern Pacific Ocean. The first storm formed on May 25 and the last storm dissipated on November 3. There were no significant storms during the 2001 Pacific hurricane season. Hurricanes Adolph and Hurricane Juliette both reached Category 4 strength, while Juliette made landfall in the Baja California peninsula as a weak Category 1 hurricane, causing two deaths.
The 2006 Pacific hurricane season was an above normal hurricane season with 19 named storms of 11 which were hurricanes and 6 were major hurricanes it was the most active season since 2000 Pacific hurricane season It officially began May 15, 2006 in the eastern Pacific, designated as the area east of 140°W, and began on June 1 2006 in the central Pacific, which is between the International Date Line and 140°W. Both seasons officially ended on November 30, 2006. These dates conventionally delimit the period of each year when most tropical cyclones form in the eastern Pacific basin. Storms. Tropical Storm Aletta. On May 27 Tropical Depression One-E formed. It became Tropical Storm Aletta later on. Aletta stalled offshore Mexico causing minor damage. Tropical Storm Aletta weakened to a tropical depression and died on May 30. Tropical Depression Two-E. Two-E formed off shore Mexico on June 3. It died 2 days later. Two-E produced 15 inches of rain in Mexico before it died. Major Hurricane Bud. Bud was a Category 3 storm. It rapidly strengthened and then weakened just as fast. Hurricane Carlota. Carlota caused light rain in Mexico but no damage was reported. It was a Category 1 storm. Major Hurricane Daniel. Not to be confused with Storm Daniel or Hurricane Danielle Daniel was a long lived Major hurricane that Affected Hawaii with some rain. It peaked as a Category 4. It was the second strongest storm this year. Tropical Storm Emilia. It caused some rain in Mexico, causing minor damage. Tropical Storm Fabio. Fabio caused heavy rainfall in Hawaii. Tropical Storm Gilma. Gilma produced light rain in Mexico. It was also the weakest storm so far. Hurricane Hector. Hector was a Category 2 hurricane. It made it to the Central Pacific. Major Hurricane Ioke. Ioke was the strongest hurricane ever in the Central Pacific that threated the Johnson Atoll and Wake Island. It formed on august 20. Ioke rapidly became a major hurricane 36 hours later. Ioke went extratropical on September 6. Damage
The 1997 Pacific hurricane season was a yearly event in tropical cyclone meteorology. Storms in this season caused hundreds of deaths and billions of dollars in damage. Storms. Tropical Storm Andres. Tropical Depression One-E formed June 1. The next day, it became Tropical Storm Andres. After a brief period of a normal track, Andres was picked up, becoming the first named storm to threaten Central America since Simone in 1968. It then turned to the southeast and went along the coast. This was the first time any East Pacific storm had taken such a path. Andres weakened to a depression and made landfall near San Salvador on June 7. The only casualties were two fishermen who were reported missing. Tropical Storm Blanca. Tropical Depression Two-E formed June 9 and strengthened into Tropical Storm Blanca six hours later. It moved northwest and briefly threatened land on June 10 as warnings and watches were established. Then, a ridge of high pressure turned Blanca away from the coast. Despite moving over warm waters, a weakening trend unexpectedly began, and Blanca was downgraded to a depression. and Blanca lost its circulation shortly after being downgraded to tropical depression status on June 12.  Hurricane Guillermo. A tropical wave that drifted across the shear-ridden Atlantic emerged into the Pacific Ocean on July 27. It organized into a depression July 30 and was named Tropical Storm Guillermo the next day. It quickly intensified, reaching hurricane status on August 1. Guillermo became a major hurricane on August 2. It reached Category 4 intensity on August 3 before weakening slightly and restrengthening. The hurricane attained Category 5 strength August 4. Guillermo's peak intensity was 919 mbar (919 hPa) and . Guillermo then weakened slowly, becoming a tropical storm on August 8. It crossed 140°W and entered the Central Pacific. It weakened to a depression late August 10 but restrengthened back into a storm 24 hours later when it encountered a small area of warm water. It weakened to a depression for the second and final time August 15 and lost tropical characteristics early the next day. Guillermo's remnants
The 1987 Pacific hurricane season officially started May 15, 1987 in the eastern Pacific, and June 1, 1987 in the central Pacific, and lasted until November 30, 1987. These dates conventionally delimit the period of each year when most tropical cyclones form in the northeastern Pacific Ocean. Despite there being twenty cyclones, there were very few notable storms this year. Only three storms came anywhere near to threatening land. Hurricane Eugene was the first Pacific hurricane to make landfall in Mexico in July since at least the 1949 season. Tropical Storm Pilar and Hurricane Norma also came close to land. The remnants of Hurricanes Ramon and Norma caused rain in the Continental United States. Elsewhere, Peke was a central north Pacific hurricane that crossed the dateline and became a typhoon.
The 1976 Pacific hurricane season was an event in tropical cyclone formation. Hurricanes Kathleen, Liza, and Madeline are the most notable storms this year. Hurricane Kathleen caused death and destruction in California and Arizona because of flooding. Hurricane Liza was the deadliest storm of the season when it killed over 600 people in Mexico. Hurricane Madeline is notable for being the second-most intense Pacific hurricane at landfall. Hurricane Kathleen. Kathleen was a costly and damaging storm mainly in Nevada, California and Arizona. It also killed 7 people. Hurricane Liza. Liza was very deadly and the third deadliest ever behind Hurricane Paul and the Mexico hurricane. Hurricane Madeline. Madeline became the third storm in the row to make landfall in Mexico. It was also the most intense.
Kronosaurus was a large pliosaur, one of the largest. It is named after the leader of the Greek Titans, Kronos. It lived in the Lower Cretaceous. Body-length estimates, based on the 1959 Harvard reconstruction, had put the total length of "Kronosaurus" at 12.8 meters (42 feet). However, a recent study compared fossil specimens of "Kronosaurus" to other pliosaurs. The Harvard reconstruction may have included too many vertebrae, exaggerating its length. Its true length was probably only 9–10.9 meters (30–36 feet).
An improper rotation can be understood as an inversion followed by a proper rotation.  Equivalently it is the combination of a rotation and an inversion in a point on the axis. Therefore it is also called a rotoinversion or rotary inversion. A simple example of an improper rotation in 3D (but not in 2D) is a coordinate inversion: x goes to −x, y to −y and z to −z. Under this transformation, a and b go to −a and −b (by the definition of a vector), but p clearly does not change. (It follows that any improper rotation multiplies p by −1 compared to the rotation's effect on a true vector.)