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Lake Minchumina, Alaska

Lake Minchumina Menchuh Mene’ IPA: in Koyukon) is a census-designated place in Yukon-Koyukuk Census Area, United States. As of the 2010 census, the population of the CDP is 13, down from 32 in 2000. Lake Minchumina is located at 63°53′38″N 152°18′7″W."If we were to cut out a map of Alaska from a piece of paper and balance the map on the point of a pencil, we would have found the center point of the physical structure of the state. That point is at 63°50’ N, 152° W. or near Lake Minchumina." "General Mitchell looked at Alaska on a globe. He saw that Alaska was equal distance from all of the major urban-industrial centers of the world. Figure L. 1 is a map of Alaska. It is centered on Lake Minchumina in Interior Alaska. Note that we can see the major centers of Asia and North America. General Billy Mitchell viewed Alaska's relative location and found that it was, central to the urban-industrial world." Footnote Figure L.1 - Alaska from Space. Orthographic projection According to the United States Census Bureau, the CDP has a total area of 244.1 square miles, of which, 216.4 square miles of it is land and 27.7 square miles of it is water.

Minchumina has a continental subarctic climate. Lake Minchumina first appeared as an unincorporated village on the 1950 U. S. Census, it appeared again in 1960, but did not report in 1970 or 1980. It returned again in 1990 as a census-designated place; as of the census of 2000, there were 32 people, 16 households, 9 families residing in the CDP. The population density was 0.1 people per square mile. There were 41 housing units at an average density of 0.2/sq mi. The racial makeup of the CDP was 84.38% White, 3.12% Native American, 12.50% from two or more races. 6.25 % of the population were Latino of any race. There were 16 households out of which 25.0% had children under the age of 18 living with them, 50.0% were married couples living together, 6.3% had a female householder with no husband present, 43.8% were non-families. 37.5% of all households were made up of individuals and 6.3% had someone living alone, 65 years of age or older. The average household size was 2.00 and the average family size was 2.67.

In the CDP, the age distribution of the population shows 18.8% under the age of 18, 6.3% from 18 to 24, 40.6% from 25 to 44, 31.3% from 45 to 64, 3.1% who were 65 years of age or older. The median age was 36 years. For every 100 females, there were 113.3 males. For every 100 females age 18 and over, there were 116.7 males. The median income for a household in the CDP was $36,250, the median income for a family was $33,750. Males had a median income of $26,250 versus $0 for females; the per capita income for the CDP was $26,781. None of the population and none of the families were below the poverty line, it was served by the Minchumina School of the Iditarod Area School District

Sir Thomas Boteler Church of England High School

Sir Thomas Boteler Church of England High School is a comprehensive school in Warrington, Cheshire. The school was founded in 1526 by Sir Thomas Boteler, he left a legacy to pay for the education of six "poor boyes of the parishe", this foundation developed into the Boteler Grammar School for Boys, serving the whole of Warrington. The original school was located in the town centre located in the area around St Elphin's Church, now included in the Church Street Conservation Area, its nineteenth century building at School Brow was demolished some years ago. Thomas Boteler was born at Bewsey Old Hall in 1461. In 1463, his father Sir John FitzJohn le Boteler was murdered and Thomas's elder brother, inherited the estates. William died at the age of 22, fighting in the Lancastrian ranks at the Battle of Tewkesbury in 1471 and Thomas inherited the estates. In November 1480 Thomas married Margaret, daughter of Sir John Delves of Doddington, who fell at Tewksbury. Thomas Boteler was present at the Capture of Berwick and in 1483 he was summoned to London to be knighted by Edward V.

The king and his brother were murdered in the Tower of London by order of their uncle, the Duke of Gloucester the future Richard III, before Thomas was knighted. In 1485, when he was made a Justice of the Peace for Lancashire, Thomas still bore the title of "esquire". Thomas, by his marriage, was related to Margaret, Countess of Richmond and when Henry of Richmond, Lady Margaret's son, landed at Milford Haven to regain the Crown of England for the Lancastrians, Thoms was part of the troops who marched south to help in the overthrow of Richard III at the battle of Bosworth Field in 1485. Thomas was either knighted on the battlefield or at the coronation of the new King, Henry VII; the following years were uneventful. Sir Thomas was re-appointed a Justice of the Peace by Henry VIII and he busied himself with the duties of this office. About 1500 he enlarged his ancestral home at Bewsey. To the old house, built of timber and lath and plaster, he added a brick "great chamber", measuring 42 feet by 21 feet, four smaller chambers and an extra kitchen and buttery.

These form the left wing of the building in the illustration by Wilmot Lunt. In 1504 he was made a knight of the King's bodyguard, chief forester and parker of the forests and chases of Simonswood and Toxteth, steward of Liverpool. In 1520 Sir Thomas headed the list of subscriptions for the building of the steeple at Lymm and in the same year he made his last will, which provided for the foundation of the Boteler Grammar School. Sir Thomas died at Bewsey on 27 April 1522 and was buried in the Boteler chapel of the St. Elphin's Church. A fragment of brass which decorated the marble slab of his tomb is preseved in Warrington Museum, together with several fragments of stained glass from the memorial window, erected by his widow in 1529; the passage from Sir Thomas Boeler's Will which provides for the school is: And where I, the saide sir Thomas, have delyvered by indenture tripartite into the custody and kepynge of the right reverend father in God John th' abbot of Whalley that now is 500 marks in gold, savelie to be kept to myn use and to be disposed at my pleasure, it is my full will and mynde that myn executors shall have the dispocion and orderinge of the saide summe of 500 marks to purchase and obteyne lands and tennements or rents to the yerelie value of ten pound above all charges, or as much thereof as shall be unprovided and unpurchased by me the saide sir Thomas, therwithe to founde a free grammar school in Weryngton to endure for ever...

And it is my will that my executors during theire several lyves, after theire decease that my heires from tyme to tyme shall denominate and appoynte an honest preste, groundely lernede in grammar, to be maister of the saide scole, whiche shall saye masse, pray and do dyvine service at the saide paroche churche of Weryngton for the soule of me the saide sir Thomas, dame Margaret my wyffe, myn ancestors, myn heires after their deceases. Sir Thomas' wishes were carried into effect by a deed signed on 26 April 1526; this deed, after recalling the Founder's intention to establish a school'whereby mens sons might learn grammar to the Intent that they thereby might the better learn to know Almighty God" proceeds to make full regulations for the establishment and the conduct of the pupils. For example: The Master is to be an "honest ans discete Priest and groundedly learned in grammar", a house in "Bag Lane" is set apart for his use, it is "ordeynd that the said schoolmaster shall teach any scholar coming to the sais school after Wittington's Grammar".

No fees were to be paid, except "in the quarter next after Xtmas A Cock Penny & in any of the other three Quarters in the year one Potation Penny", which sums were to provide a cock-fight at Shrovetide and "A Drinking for all the said scholars" in the other quarters. All scholars were to go "two and two in processions on Sunday and Friday, about or within the Parish Church, singing the Litany and Responds". During the winter months they were to be at the church "between six and seven of the clock" every morning, immediately go to school, whence they were not to depart till five in the afternoon". In Summer they were to be at the church between six; every year, on 27 April, the Founder's death was to be commemorated by a special Service, to be held in the Parish Church. No scholar was to wear "any Dagger, Hanger or other weapon invasive, other than a knife to cut his meat with". After they had been twelve months in Grammar the boys were to use to speak to one another "at all times and in every place, Latin and no English", no scholar was to use "diceing or carding or other unlawfull games".

The full text of these documents can be f

New Mexico State Road 159

New Mexico State Road 159 is a 30.551-mile state road located within Catron County, New Mexico, United States. NM 159's western terminus is at U. S. Route 180 south of Alma, it heads east via Mogollon to a few miles past Willow Creek Campground in Gila National Forest where it continues as Catron County Route 28, known as Burnsum Road. NM 159 begins at a junction with US 180 between the communities of Alma to the north and Glenwood to the south; the route heads east-northeast through a sparsely populated semi-arid region until it reaches a junction with Forestry Trail 586, which goes south to NM 174. Past this junction, the route continues its east-northeast trajectory into a mountainous area. After following a winding path through the mountains, the highway reaches Mogollon, a historic mining town. East of Mogollon, the highway becomes an rough single-lane road known as Bursum Road; this section of the road is twisting and mountainous, it is closed in winter due to the risk of icy, snowy conditions.

The road continues east to Willow Creek Campground in Gila National Forest, where state maintenance ends. The entire route is in Catron County. List of state roads in New Mexico Geographic data related to New Mexico State Road 159 at OpenStreetMap

Presque Isle Lodge

The Presque Isle Lodge is a rustic hotel located at 8211 East Grand Lake Road in Presque Isle, Michigan. It was listed on the National Register of Historic Places in 2008. In the 1910s, construction began on what is now US-23, opening northern Michigan in general, this area around Grand Lake to more tourism. One of the families to take advantage of this was that of Newell A. Eddy, Sr. and his wife, Marianna McRuer Field Eddy. Eddy was a lumberman from the Bay City area, the couple purchased the land around where the Lodge sits for their personal recreational use; the land was purchased in several transactions over the period 1908-13. Their son Newell A. Eddy Jr. used the property. In about 1920 Eddy Jr. had this lodge constructed on the family's property. Eddy built the knotty pine furniture within the Lodge, with the help of area craftsmen. After the opening of the Lodge, Eddy established the "Habitant Shops of Presque Isle Lodge," which constructed similar furniture for guests; the shop first by 1922 had moved to Bay City.

Newell A. Eddy Jr. died in 1940. His family sold the Lodge in 1944. Milton A. Underwood and his wife, Bessie C. Underwood, purchased it in 1947, they operated the Lodge until Bessie Underwood's death in 1977. Robert G. and Laurie E. Spencer, acquired a partial interest in the Lodge in 1986, reopened it as a bed and breakfast in 1989, they purchased the remaining interest in 1997. The Lodge continues to operate as a breakfast; the Presque Isle Lodge is a two-story gable-roof rustic wood-frame structure measuring 150 feet bo 36 feet. The exterior is faced with half-log sidong on the first floor and board-and-batten siding on the second; the main entrance is sheltered under a low gable-roof porch supported by two log front posts. A screened porch is on one end of the building; the entryway opens into a lobby with a massive fireplace. Log posts support the second floor, doors near the fireplace access the exterior porch; the main floor houses an office, a small gathering space and large dining room. The staircase to the second floor is in the center of the lobby.

On the second floor, the lodge's visitor rooms are arranged along both sides of a central hall that runs from end to end of the building. The lodge contains a large collection of the Habitant Shops rustic furniture. Presque Isle Lodge

Subharmonic function

In mathematics and superharmonic functions are important classes of functions used extensively in partial differential equations, complex analysis and potential theory. Intuitively, subharmonic functions are related to convex functions of one variable. If the graph of a convex function and a line intersect at two points the graph of the convex function is below the line between those points. In the same way, if the values of a subharmonic function are no larger than the values of a harmonic function on the boundary of a ball the values of the subharmonic function are no larger than the values of the harmonic function inside the ball. Superharmonic functions can be defined by the same description, only replacing "no larger" with "no smaller". Alternatively, a superharmonic function is just the negative of a subharmonic function, for this reason any property of subharmonic functions can be transferred to superharmonic functions. Formally, the definition can be stated. Let G be a subset of the Euclidean space R n and let φ: G → R ∪ be an upper semi-continuous function.

Φ is called subharmonic if for any closed ball B ¯ of center x and radius r contained in G and every real-valued continuous function h on B ¯, harmonic in B and satisfies φ ≤ h for all y on the boundary ∂ B of B we have φ ≤ h for all y ∈ B. Note that by the above, the function, identically −∞ is subharmonic, but some authors exclude this function by definition. A function u is called superharmonic. A function is only if it is both subharmonic and superharmonic. If ϕ is C2 on an open set G in R n ϕ is subharmonic if and only if one has Δ ϕ ≥ 0 on G, where Δ is the Laplacian; the maximum of a subharmonic function cannot be achieved in the interior of its domain unless the function is constant, this is the so-called maximum principle. However, the minimum of a subharmonic function can be achieved in the interior of its domain. Subharmonic functions make a convex cone, that is, a linear combination of subharmonic functions with positive coefficients is subharmonic; the pointwise maximum of two subharmonic functions is subharmonic.

The limit of a decreasing sequence of subharmonic functions is subharmonic. Subharmonic functions are not continuous in the usual topology, however one can introduce the fine topology which makes them continuous. If f is analytic log ⁡ | f | is subharmonic. More examples can be constructed by using the properties listed above, by taking maxima, convex combinations and limits. In dimension 1, all subharmonic functions can be obtained in this way. If u is subharmonic in a region D, in Euclidean space of dimension n, v is harmonic in D, u ≤ v v is called a harmonic majorant of u. If a harmonic majorant exists there exists the least harmonic majorant, u = v − ∫ D d μ | x − y | n − 2, n ≥ 3 while in dimension 2, u = v + ∫ D log ⁡ |


Cəlilkənd is a village and municipality in the Sharur District of Nakhchivan Autonomous Republic, Azerbaijan. It is located in the left side of the Nakhchivan-Sadarak highway, 4 km in the north-east from the district center, on the Sharur plain, its population is busy with grain-growing, vegetable-growing, beet-growing and animal husbandry. There are secondary school, cultural house, pharmacy, a medical center and House Museum of J. Memmedquluzade in the village, it has a population of 1,701. There are cyclops buildings of the 2nd millennium of BC in the village, it was known as Bash Norashen and under Russian rule, from 1870 through 1917, it was the administrative center of Sharur-Daralagozsky Uyezd. In 1961 the village was renamed in honour of Cəlil Məmmədquluzadə, the writer and satirist who wrote his first allegorical work while serving as a teacher at the local school; the name of the village is a toponym memorial. Cəlilkənd at GEOnet Names Server