St Giles' Cathedral

St Giles' Cathedral, also known as the High Kirk of Edinburgh, is the principal place of worship of the Church of Scotland in Edinburgh. Its distinctive crown steeple is a prominent feature of the city skyline, at about a third of the way down the Royal Mile which runs from the Castle to Holyrood Palace. The church has been one of Edinburgh's religious focal points for approximately 900 years. The present church dates from the late 14th century, though it was extensively restored in the 19th century, and is protected as a category A listed building. Today it is sometimes regarded as the "Mother Church of Presbyterianism". The cathedral is dedicated to Saint Giles, who is the patron saint of Edinburgh, as well as of cripples and lepers, and was a very popular saint in the Middle Ages. It is the Church of Scotland parish church for part of Edinburgh's Old Town.

St Giles' was only a cathedral in its formal sense (i.e. the seat of a bishop) for two periods during the 17th century (1635–1638 and 1661–1689), when episcopalianism, backed by the Crown, briefly gained ascendancy within the Kirk (see Bishops' Wars). In the mediaeval period, prior to the Reformation, Edinburgh had no cathedral as it was under the jurisdiction of the Bishop of St Andrews, whose episcopal seat was St Andrews Cathedral. For most of its post-Reformation history the Church of Scotland has not had bishops, dioceses, or cathedrals. As such, the use of the term cathedral today carries no practical meaning. The "High Kirk" title is older, being attested well before the building's brief period as a cathedral.

Chapel

A chapel is a religious place of fellowship, prayer and worship that is attached to a larger, often nonreligious institution or that is considered an extension of a primary religious institution. It may be part of a larger structure or complex, such as a college, hospital, palace, prison, funeral home, church, synagogue or mosque, located on board a military or commercial ship, or it may be an entirely free-standing building, sometimes with its own grounds. Many military installations have chapels for the use of military personnel, normally under the leadership of a military chaplain.

Until the Protestant Reformation, a chapel denoted a place of worship that was either at a secondary location that was not the main responsibility of the local parish priest, or that belonged to a person or institution. Most larger churches had one or more secondary altars, which if they occupied a distinct space, would often be called a chapel. Although chapels frequently refer to Christian places of worship, they are also commonly found in Jewish synagogues and do not necessarily connote a specific denomination. In England, where the Church of England is established by law, nondenominational or inter-faith chapels in such institutions may nonetheless be consecrated by the local Anglican bishop.

Big O notation

In mathematics, big O notation describes the limiting behavior of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions. It is a member of a larger family of notations that is called Landau notation, Bachmann–Landau notation (after Edmund Landau and Paul Bachmann), or asymptotic notation. In computer science, big O notation is used to classify algorithms by how they respond (e.g., in their processing time or working space requirements) to changes in input size. In analytic number theory, it is used to estimate the "error committed" while replacing the asymptotic size, or asymptotic mean size, of an arithmetical function, by the value, or mean value, it takes at a large finite argument. A famous example is the problem of estimating the remainder term in the prime number theorem.

Big O notation characterizes functions according to their growth rates: different functions with the same growth rate may be represented using the same O notation.

Saint Giles

Saint Giles (English pronunciation: /dʒaɪlz/, gaɪlz; Latin: Aegidius; French: Gilles; c. 650 AD – c. 710), also known as Giles the Hermit, was a GreekChristian hermit saint from Athens, whose legend is centered in Provence and Septimania. The tomb in the abbey Giles was said to have founded, in Saint-Gilles-du-Gard, became a place of pilgrimage and a stop on the road that led from Arles to Santiago de Compostela, the pilgrim Way of St. James. He is one of the Fourteen Holy Helpers.

Life

Giles first lived in retreats near the mouth of the Rhône and by the River Gard, in Septimania, today's southern France. The story that he was the son of King Theodore and Queen Pelagia of Athens is probably an embellishment of his early hagiographers; it was given wide currency in the Legenda Aurea (Golden Legend). The two main incidents in his life were often depicted in art.

His early history, as given in the Legenda Aurea, links him with Arles, but finally he withdrew deep into the forest near Nîmes, where in the greatest solitude he spent many years, his sole companion being a deer, or red deer, who in some stories sustained him on her milk. Giles ate a vegetarian diet. This retreat was finally discovered by the king's hunters, who had pursued the hind to its place of refuge. An arrow shot at the deer wounded the saint instead, who afterwards became a patron of cripples. The king, who by legend was Wamba, an anachronistic Visigoth, but who must have been (at least in the original story) a Frank due to the historical setting, conceived a high esteem for the hermit, whose humility rejected all honors save some disciples, and built him a monastery in his valley, Saint-Gilles-du-Gard, which Giles placed under the Benedictine rule. Here he died in the early part of the 8th century, with the highest repute for sanctity and miracles.

The Thistle

The Thistle is a Scottish ladies' solo step dance devised by Irene Fidler and published in 2007. This elegant dance performed to a set of waltzes builds on a rich yet relatively little known tradition of Scottish step dancing as maintained within the frame of annual St. Andrew's Summer School of the Royal Scottish Country Dance Society The flower of thistle is reported to have been the symbol of Scotland since 1470s.

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