In mathematics a holomorphic function is a function that is defined on the complex numbers, and that can be differentiated everywhere where it is defined. Differentiating the function again leads to a function defined on the complex numbers. In older literature, these functions are sometimes called "regular".
Holomorphic functions show a number of properties function defined on real numbers do not have.
County Monaghan
County Monaghan (in Gaelic ) is a county in Ireland. It is part of the province of Ulster. It is also part of the Border Region, as it borders Northern Ireland. It is named after the town of Monaghan. 60,483 people live in the county according to the 2011 census.
The main towns and villages are:
1. Monaghan - 7,452 people
2. Carrickmacross - 4,925 people
3. Castleblayney - 3,634 people
4. Clones - 1,761 people
5. Ballybay - 1,461 people
There is a lot of countryside in County Monaghan. There are a few mountains like Mullyash Mountain, Slieve Beagh (on the border with Tyrone and Fermanagh) and Coolberrin Hill (214 m, 702 ft). Lakes include Lough Egish, Lough Fea, Muckno Lough, Lough Avaghon, Inner Lough (in Dartrey Forest), Drumlona Lough, White Lough and Emy Lough.
Rivers in Monaghan include the River Fane (along the Louth border), the River Glyde (along the Louth and Meath borders), the Ulster Blackwater (along the border with County Tyrone) and the Dromore river (along the border of County Cavan, linking Cootehill to Ballybay). The Ulster Canal runs through Monaghan, but is not fully open to navigation.
Monaghan has a number of forests, including Rossmore Forest, Dartrey Forest and Dún na Rí Forest Park. Managed by Coillte since 1988, the majority of trees are conifers. Due to a long history of intensive farming and recent intensive forestry practices, only small pockets of native woodland remain.
In 1585, the English lord deputy of Ireland, Sir John Perrot, visited the area and met the Irish chieftains. They wanted Ulster to be divided into counties, and that land in the kingdom of Airgíalla be split up and given to each of the McMahon chiefs. That is how County Monaghan was created. The county was divided into five baronies: Farney, Cremorne, Dartrey, Monaghan and Truagh, which was left under the control of the McKenna chieftains.
After the defeat of the rebellion of Hugh O'Neill, The O'Neill and the Ulster chieftains in 1603, the county was not colonised by the English ("planted") like the other counties of Ulster. The lands were instead left in the hands of the native chieftains. In the Irish Rebellion of 1641, the McMahons and their allies joined the general rebellion of Irish Catholics. Following their defeat, some plantation of the county took place with Scottish and English families.
County Monaghan is the birthplace of the poet and writer Patrick Kavanagh, who based much of his work in the county. Kavanagh is one of the most significant figures in 20th century Irish Poetry. The poems "Stony Grey Soil" and "Shancoduff" refer to the county.
George Collie (1904–75) is a famous painter from Monaghan. He was born in Carrickmacross and trained at the Dublin Metropolitan School of Art.
Monaghan was also the home county of the Irish writer Sir Shane Leslie (1885–1971), 3rd Baronet of Glaslough, who lived at Castle Leslie in the north-east corner of the county. He was a Catholic convert, Irish nationalist and first cousin of British Prime Minister Sir Winston Churchill. Leslie became an important literary figure in the early 1900s. He was a close friend of many politicians and writers of the day including the American novelist F. Scott Fitzgerald (1896–1940), who dedicated his second novel, "The Beautiful and Damned", to Leslie.
Supplemental Nutrition Assistance Program
Supplemental Nutrition Assistance Program (which is known as SNAP) is a food assistance program in the United States. It supplies food for no-income or low-income people. Hot foods are not included. The program was originally called Food Stamp Program. It was renamed in 2008 through farm bills. The term EBT is often used.
During fiscal year 2012, close to $75 billion for assistance in food was distributed. As of September 2012, almost 48 million people received benefits. The average amount was less than $135 per month. Some states get more food assistance than other states.
Ilyushin Il-14
Ilyushin Il-14 (Ильюшин Ил-14; NATO reporting name: Crate) was a Soviet twin-engine cargo aircraft for small and medium-haul airline routes and a military transport, produced by Ilyushin.
Antonov An-2
The Antonov An-2 is a Sovie airliner & cargo aircraft. It was designed and built after World War II. It is a biplane. It can carry between nine and eleven passengers. NATO calls it "Colt". It was built under licence in China as Y-5. It is a single-engine aircraft.
Robin DR400
The Robin DR400 is a French light aircraft. It is made of wood and metal. It is used for training and sport. It is designed and built by Avions Robin in Côte-d'Or.
Universal priesthood (doctrine)
In Christianity, different groups disagree about who can be a priest. Protestants believe that any baptized believer can become a priest (though denominations can vary depending on the question of gender), and that anyone can talk directly to God. Ordination is not necessarily needed to become a priest, however, the unordained are generally referred to as, "Preachers," and the term "Pastor" can be used interchangeably.
In contrast, Roman Catholics believe that only male believers can become priests and that they must receive special training because they between God and His people. Pope Paul VI in 1964 issued a called : In it, he stated the position the Roman Catholic church held after the Second Vatican Council:
Christ the Lord, High Priest taken from among men, made the new people "a kingdom and priests to God the Father".The baptized, by regeneration and the anointing of the Holy Spirit, are consecrated (..) a holy priesthood, in order that through all those works which are those of the Christian man they may offer spiritual sacrifices and proclaim the power of Him who has called them out of darkness into His marvelous light.
The first person who spoke about this was Martin Luther. Luther did not use the exact phrase "priesthood of all believers". He says that there is a general priesthood in Christendom in his 1520 "To the Christian Nobility of the German Nation". In this text, he also dismisses the medieval view that Christians in the present life were to be divided into two classes: "spiritual" and "secular". He put forward the doctrine that all baptized Christians are "priests" and "spiritual" in the sight of God:
That the pope or bishop (..) dresses differently from the laity, may make a hypocrite or an idolatrous oil-painted icon, but it in no way makes a Christian or spiritual human being. In fact, we are all consecrated priests through Baptism, as St. Peter in 1 Peter 2[:9] says, "You are a royal priesthood and a priestly kingdom," and Revelation [5:10], "Through your blood you have made us into priests and kings."
Two months later Luther wrote in his "On the Babylonian Captivity of the Church" (1520):