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with an even number of plus signs, where
and
where τ = (1+)/2 is the golden mean and
ξ is the smaller positive real root of ξ−2ξ=−1/τ, namely
or approximately 0.3264046.
Taking the odd permutations of the above coordinates with an odd number of plus signs gives another form, the enantiomorph of the other one. Taking the odd permutations with an even number of plus signs or vice versa results in the same two figures rotated by 90 degrees.
The circumradius for unit edge length is
where formula_3 is the appropriate root of formula_4. The four positive real roots of the sextic in formula_5
are the circumradii of the snub dodecahedron ("U"), great snub icosidodecahedron ("U"), great inverted snub icosidodecahedron ("U"), and great retrosnub icosidodecahedron ("U").
= = = English District of the Lutheran Church–Missouri Synod = = =
The English District is one of the 35 districts of the Lutheran Church–Missouri Synod (LCMS). It is one of the Synod's two non-geographical districts, along with the SELC District. The district has congregations in the states of Arizona, California, Florida, Georgia, Kentucky, Illinois, Indiana, Michigan, Minnesota, Missouri, Nebraska, New Jersey, New York, Ohio, Pennsylvania, Virginia, and Wisconsin, and the Canadian provinces of Ontario and Quebec.
The district has its origins in the congregations of the former English Evangelical Lutheran Synod of Missouri and Other States, which merged with the LCMS in 1911. The English Synod had been formally organized in 1888 out of the English (Evangelical) Lutheran Conference of Missouri of the Evangelical Lutheran Tennessee Synod.
Prior to 1839, a group of Lutherans of the Evangelical Lutheran Tennessee Synod moved from western North Carolina and eastern Tennessee to southeast Missouri. In 1872, a free conference was held in Gravelton, Missouri, with participants from that group, the LCMS, the Holston Synod, and the Norwegian Synod. The LCMS president, C. F. W. Walther, urged the Tennessee Synod members to organize themselves as a conference of the Tennessee Synod, the English (Evangelical) Lutheran Conference of Missouri.
The conference applied for admission to the LCMS as a district in 1887, but was advised to instead form a separate synod because the LCMS was still a German-language synod while the conference used English. The conference therefore organized as the independent English Evangelical Lutheran Synod of Missouri and Other States in 1888. The English Synod was in full agreement with the LCMS on doctrine, and joined the Evangelical Lutheran Synodical Conference in 1890.
In 1911, with members of the LCMS itself becoming at least bilingually English-speaking, the English Synod merged into the LCMS. However, because it wanted to maintain its identity, it was accepted as a non-geographical district. Despite the transition of the LCMS to English, the English District has continued as a separate district.
The English Synod operated two colleges, both acquired in 1893. In 1908, it gave St. John's College of Winfield, Kansas, to the LCMS. Concordia College of Conover, North Carolina, was transferred to the LCMS at the time of the merger. Both colleges were subsequently closed.
"The Lutheran Witness", the main lay-oriented magazine of the LCMS, was originally published, starting in 1882, by the Cleveland District Conference. The English Synod took over publication in 1888, and it became an LCMS publication upon the 1911 merger.
The district now includes approximately 159 congregations and missions in 17 U.S. states and the Canadian province of Ontario, subdivided into 25 circuits, as well as 36 preschools, 15 elementary schools and one high school. Baptized membership in district congregations is approximately 48,600.
English District offices are located in Farmington, Michigan. Delegates from each congregation meet in convention every three years to elect the district president, vice presidents, circuit counselors, a board of directors, and other officers. The district publishes its newsletter, "English Channels," ten times a year.
Hecht was one of four district presidents who were removed from office by Synod President J. A. O. Preus on April 2, 1976 for non-compliance with synodical directives on the ordination and placement of improperly endorsed ministerial candidates from Seminex.
= = = Troullos = = =
Troullos, also known as Trullos, is the archaeological site of an ancient Minoan settlement on Crete. The Troullos site is the eastern-most section of the ancient settlement at Archanes. The king of Knossos is believed to have maintained a summer palace there.
Trullos was first excavated by Sir Arthur Evans, later by Spyridon Marinatos and most recently by J. and E. Sakellarakis. The site was in use from Middle Minoan II until late Minoan I.
Among the movable artifacts at Troullos:
= = = Baldwin 60000 = = =
Baldwin 60000 is an experimental steam locomotive built by the Baldwin Locomotive Works in Eddystone, Pennsylvania, in 1926, during the height of the railroading industry. It received its number for being the 60,000th locomotive built by Baldwin.
It was designed to be the best locomotive that Baldwin ever made. It boasts three cylinders, weighs about , including tender, and can pull a load of up to . Its top speed is .
60000 was very innovative, carrying unusual technology, including a water-tube firebox. This was intended to improve efficiency but the tubes were prone to burst inside the firebox. It is also a compound, expanding the steam once in the inside cylinder and then again in the two outside cylinders. Although compounding increases efficiency, it was an extra complication that the US railroads had mostly rejected by the middle twenties. The weight and length of the engine were too much for all but the heaviest and straightest tracks.
This locomotive was experimental and was meant to be the model for future development. However, its demonstration runs never persuaded railroads to purchase more. In 1933, it was purchased by the Franklin Institute Science Museum for $1 and remains there today.
After a series brief test runs following construction, the 60000 was sent to the Pennsylvania Railroad's Altoona Test Plant in Altoona, Pennsylvania. Placed on rollers without its tender, it was tested on the traction dynamometer to measure its performance, which included maximum drawbar horsepower. Following tests at the Altoona Test Plant, the Pennsylvania Railroad placed the engine in freight service between Enola Yard near Harrisburg and Morrisville Yard via the Trenton Cutoff. During testing on the PRR, 60000 pulled a maximum of 7,700 tons.
Following testing on the PRR, the 60000 was sent for additional testing on the Baltimore and Ohio Railroad. Between November and December 1926, the 60000 was tested on the Cumberland Division between Brunswick and Keyser, Maryland, the Connellsville Division between Cumberland, Maryland, and Connellsville, Pennsylvania, and the Pittsburgh Division, which included the Sand Patch and Seventeen-Mile grades.
In February 1927, the 60000 was sent to the Chicago, Burlington and Quincy Railroad's Beardstown Division of Illinois. The 60000 was run in tandem with the CB&Q's own M2-A Class 2-10-2 number 6157, in order to compare coal and water consumption. Overall, the 60000 was superior in its coal and water consumption.
On 24 February 1927, the 60000 was sent to the Atchison, Topeka and Santa Fe Railroad. Testing was performed on the Pecos division between Clovis and Belen, New Mexico. As with the CB&Q, the AT&SF compared the performance of the 60000 with that of its own power in the form of two 3800-Class 2-10-2s. Once more the 60000 demonstrated superior fuel consumption than the locomotives of the host railroad.
In the summer and fall of 1927, the 60000 was sent to the Southern Pacific Railroad, which overhauled the locomotive and converted it to an oil burner at its Sacramento Shops. Following its conversion, the 60000 was tested in both freight and passenger service on the Sacramento Division, during which the engine carried a Southern Pacific tender. Following tests on the SP, the 60000 was sent to the Great Northern Railway between Everett, Washington and Minot, North Dakota. Overall, the 60000 did not perform as well on oil as it did on coal.
Converted back to coal, the 60000 was then returned to the Baldwin Locomotive Works and used as a stationary boiler before being sold to the Franklin Institute.
= = = HMT = = =
HMT may refer to:
Science
Places
Organizations and Companies
Other
= = = Allegheny West = = =
Allegheny West is the name of two places in the United States:
= = = Israel B. Richardson = = =
Israel Bush Richardson (December 26, 1815 – November 3, 1862) was a United States Army officer during the Mexican–American War and American Civil War, where he was a major general in the Union Army. Nicknamed "Fighting Dick" for his prowess on the battlefield, he was mortally wounded at the Battle of Antietam near Sharpsburg, Maryland.
Richardson was born in Fairfax, Vermont. He was reportedly a descendant of famed American Revolutionary War general Israel Putnam. He was appointed from Vermont to the United States Military Academy in West Point, New York. He graduated 38th out of 52 cadets in the Class of 1841. He was one of 23 classmates who would become generals during the Civil War. After some routine assignments, Richardson served as a second lieutenant in the Second Seminole War in Florida. He was promoted to first lieutenant on Sep 21, 1846.
He received two brevets for meritorious service during the Mexican–American War, to captain and major for the actions at Contreras, Churubusco, and Chapultepec. In Mexico while serving under General Winfield Scott in the Army of Occupation, he received his nickname, "Fighting Dick", which would carry over to the Civil War.
He later served as a captain in the 3rd U.S. Infantry (a rank he achieved in 1851) at various frontier outposts in Texas and New Mexico Territory, San Antonio, Texas 1848–49, Post Opposite El Paso del Norte, 1849–1850; Fort Fillmore 1851–52, 1852–53; Fort Webster, 1852, 1853–54; and Fort Thorn, 1854–55. He then resigned his commission in 1855 and began farming near Pontiac, Michigan.
When the Civil War broke out, Richardson was still farming in Michigan. He enlisted in the Union Army and recruited and organized the 2nd Michigan Infantry. He married Fannie Travor on May 18, 1861, in Wayne County, Michigan. When he reported with his regiment in Washington, DC, General Winfield Scott greeted him with "I'm glad to have my 'Fighting Dick' with me again". Richardson, promoted to colonel on May 25, 1861, was assigned command of the 4th Brigade, 1st Division, in the newly organized army of Brigadier General Irvin McDowell. His brigade saw limited action at the First Battle of Bull Run near Blackburn's Ford, and in covering the subsequent federal withdrawal to Washington. He was promoted to brigadier general, ranking from May 17, 1861.
He commanded several brigades in the Army of the Potomac and then the 1st Division of the II Corps during the Peninsula Campaign in mid-1862. He was involved in the fighting at the battles of Yorktown, Seven Pines, and the Seven Days. He was particularly distinguished in sharp fighting near the Chickahominy River. Richardson was promoted to major general after the Seven Days Battles. His division was stationed in Washington, DC, during the Second Battle of Bull Run and did not participate in that engagement.
Richardson's 1st Division played a key role during the Battle of Antietam on September 17, 1862, attacking Confederate positions in the center of the Sunken Road in support of the 3rd Division of Maj. Gen. William H. French. After stubborn fighting, by 1:00 pm, Richardson had gained control of the high ground in front of the apex of the defensive line, and his men enfiladed the remaining defenders in the road, which would gain the nickname "Bloody Lane" for the carnage. Richardson pushed forward beyond the road and was directing the fire of his artillery and organizing another attack when he was struck by a shell fragment.
Carried to the rear, Richardson was treated at a field hospital. His wound was not considered life-threatening, and he was given a room in Major General George B. McClellan's headquarters, the Pry House. President Abraham Lincoln paid his respects to the wounded Richardson during a visit to the battlefield in October. However, infection set in, and then pneumonia, which claimed the life of the popular general in early November. He was among six generals to be killed or mortally wounded at Antietam.
His body was escorted to Detroit. Large crowds lined the streets during his funeral procession to nearby Pontiac, where he was buried in Oak Hill Cemetery.
Fort Richardson, a Texas frontier fort active from 1867 to 1878, was named for him.
The Israel B. Richardson Camp #2 of the Sons of Union Veterans of the Civil War in Oakland, Michigan, was also named for the fallen general.
Battery Richardson, a 12-inch coast artillery gun battery at Fort Hancock, New Jersey, was named for him.
= = = Jere Wood = = =
Jere Wood (born c. 1949) is the former mayor of Roswell, Georgia, serving five consecutive terms. Mayor Wood defeated Democrat "Pug" Mabry, who served as mayor for over thirty years, in the election of 1997. During his election he ran on the platform of slow-growth, fighting urban sprawl and what he viewed as its negative side effects. At the time, he promised to only be a two-term mayor. He ran unchallenged and secured re-election in 2001. Wood is the son of Roy "Splinter" Wood, a Democrat, who was Undersecretary of the United States Department of the Interior (DOI) during the Carter Administration in the 1970s. Wood won the mayor's race again in the election held in November 2005.
Mayor Wood is a member of the Mayors Against Illegal Guns Coalition, an organization formed in 2006 and co-chaired by New York City mayor Michael Bloomberg and Boston mayor Thomas Menino.
During the attempted merger of Comcast and Time Warner Cable, a number of politicians sent letters to the FCC expressing their support. Wood was one of these, stating the merger would help spur business growth. It was later discovered that Wood had actually submitted a letter that had been ghostwritten by Comcast. Wood was just one of a number of politicians exposed by "The Verge" to have participated in such a practice.
In 2016, Roswell resident Michael Litton filed a lawsuit accusing Wood of violating the city of Roswell's charter by seeking a third term as mayor. Wood, who was first elected in 1997, advocated in 2010 for the Roswell mayor to have a term limit of three four-year terms. He has said the intent was that the clock would start for him when the law was passed, and not when he was first elected.
Although Wood had enjoyed the support of State Representative Betty Price, she has since stated that she does not intend to amend the charter to allow Wood to run for a subsequent term. She had been willing to support a charter change that would allow the mayor to serve out his term, but no more. "My goal has been to save the city the expense of a costly trial," Price said. Since the start of the controversy, the city of Roswell has spent $16,843 through city attorney fees on defending Wood, as of mid-2016. On August 3, 2017, Wood was removed from office after a judge finding he did violate city law.
In October 2016, Wood filed suit in Fulton Superior Court against Roswell and the Roswell Council Members over whether he could renovate his home. Wood's home is located in the Roswell historic district, which requites prior approval when renovating. He was initially granted approval by the Roswell Historic Preservation Commission to build a 1.5 story, 3,000 square foot house on his property. However, the city council later overturned the decision in August 2016. Wood alleged in the lawsuit that council members acted improperly by deciding the council had the legal authority to reverse the commission's earlier decision. State historic preservation laws allow "limited authority" for the council members to "approve, modify and approve, or reject" the historic commission’s final decision, but only if it is found that the commission abused its discretion.
Wood often mountain bikes, wind surfs or kayaks. He earned his Eagle Scout Award during his youth and has been active in the Boy Scout program in the North Fulton area.
= = = Strawberry Mansion = = =
Strawberry Mansion could refer to:
= = = Tracey Wickham = = =
Tracey Lee Wickham (born 24 November 1962 in Rosebud, Victoria) is an Australian former middle distance swimmer. Wickham was the World Champion for the 400 m and 800 m freestyle in 1978, and won gold in both events at the 1978 and 1982 Commonwealth Games. She is a former world record holder for the 400 m, 800 m and 1500 m freestyle. Despite her success in the pool, Wickham has battled hardship and personal tragedy throughout her life.
Wickham began swimming at the age of eight at John Rigby’s pool in Brisbane and mastered her technique under the guidance of Peter Diamond. At the age of thirteen, she was selected to be on the Australian team for the 1976 Montreal Olympic Games but failed to reach the finals at that meet.
In 1977, Wickham’s family moved to California, where she trained for six months with coaching legend Mark Schubert. She returned to Brisbane at the end of 1977 and she came under the guidance of coach Bill Sweetenham at the Commercial Swimming Club. On 8 February 1978, Wickham broke her first world record, the 1500 m freestyle, in a solo swim at the Fortitude Valley Pool in Brisbane, clocking 16:14.93.
At the 1978 Commonwealth Games in Edmonton, Alberta, Canada, Wickham won both the 400 m and 800 m freestyle. That same year, she set world records in both events, and won both the 400 m and 800 m freestyle at the 1978 Berlin World Championships, setting a world 400 m record of 4.06.28, which stood as the Championship record until 2007. Both world records stood until 1987, long after her retirement.
In 1980, Australia decided against an official boycott of the 1980 Summer Olympics. A number of Australian athletes elected to boycott the Games personally. Wickham maintains that she withdrew from the team because of illness, as she was suffering glandular fever at the time, not because of the boycott. The 800 m freestyle was won by fellow Australian Michelle Ford at that meet.
Wickham retired at the end of 1979 due to financial problems. The policy of amateurism was upheld by the Amateur Swimming Union of Australia during this period, meaning Wickham could neither earn money from the sport nor receive any prizes.
Wickham returned to swimming in the early 1980s under coach Laurie Lawrence. She won gold in the 400 m and 800 m freestyle at the 1982 Commonwealth Games, where she took the Athletes Oath at the Opening Ceremony. Her gold medal for the 400 m was presented to her by Queen Elizabeth II and Wickham retired from swimming immediately afterwards.
Following the birth of her daughter, Wickham dived back into the water in May 1990, again with Lawrence as her coach. She competed in the 7.6 km open water race from Magnetic Island to Townsville, placing first in the female division. She also won the female division of the Lake Trasimeno 20 km marathon race. She retired for good following the birth of her son in January 1992.
She was educated at the All Hallows' School, in Brisbane along with her sisters Julie and Kelly. Wickham married in 1986 and had two children, Daniel and Hannah. She divorced her husband in the mid-1990s.
Her daughter, Hannah, died at the age of nineteen from synovial sarcoma on 2 October 2007. Wickham is an ambassador for Hannah’s Chance Foundation, which supports teenage cancer victims.
On 30 December 1978, Wickham was made a Member of the Order of the British Empire.
On 10 December 1985, she was inducted into the Sport Australia Hall of Fame, and was inducted into the International Swimming Hall of Fame at Fort Lauderdale in 1992.
On 25 October 2000, she was awarded the Australian Sports Medal for outstanding contribution as a competitor in swimming.
On 13 June 2005, she was awarded the Medal of the Order of Australia for service to Australian swimming and to the development of young swimmers through teaching and coaching roles.
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