Since these concepts are formally defined in the article on structures, the present article can content itself with an informal introduction which consists in examples of how these terms are used.

Since the start of the 20th century, complexity of total syntheses has been increasing, with examples such as lysergic acid and vitamin B12.

Since adjoint functors exist in abundance, this gives numerous examples of continuous and cocontinuous functors.

Since the Romantic era, the cello has received as much attention as the piano and violin as a concerto instrument, and many great Romantic and even more 20th century composers left examples.

Since his death examples of his best paintings have fetched ever-rising prices in London auction rooms.

Since they are made of cedar, which decays eventually in the rainforest environment of the Northwest Coast, few examples of poles carved before 1900 exist.

Since Nadesico, other anime series have featured shows-within-a-show ; the most famous examples are Densha Otoko, which had the series Getsumento Heiki Mina and Genshiken, which had Kujibiki Unbalance.

Since their rise to fame in recent years, singer Justin Bieber, boy band One Direction and country-pop musician Taylor Swift have become recent examples of modern-day teen idols who have achieved international success, known for their devoted teen and tween fan base.

Since then, Dixon has assembled a number of similar examples of Australian Aboriginal myths that accurately describe landscapes of an ancient past.

Since then, the Mission has been repaired and restored, and has one of the best-preserved interiors ( which gives one of the best examples of old mission life ).

Since the Aesthetic art movement was only prevalent from about 1880 until about 1890, there are not very many examples of this particular style left nowadays.

Since 1983 Holmgren has acted through his company Holmgren Design Services as consultant for a large number of projects, examples of which can be found in the report Trees on Treeless Plains: Revegetation Manual for the Volcanic Landscapes of Central Victoria ( 1994 ).

Since Cech's and Altman's discovery, other investigators have discovered other examples of self-cleaving RNA or catalytic RNA molecules.

Since 2000, physicist Nathan Jacobi, an agnostic Jew, and engineer Moshe Aharon Shak, an orthodox Jew, claim to have discovered hundreds of examples of lengthy, extended ELSs.

Since the development of predicate logic, introductory texts on logic have ignored or disparaged term logic, except perhaps as a source of examples for beginning students.

Since 1985 the planning regime has encouraged large retailers and retail parks to be developed over older properties which were classic examples of ribbon development whereby residential properties front gardens and / or ground floor areas took advantage of footfall and were converted to shop units.

Since 1804 was the last recorded year of mintage for both the dollar and $ 10 Eagle, it was decided that the set would contain examples of those coins dated 1804, as well as the other denominations currently being produced.

Since the standard is not published freely ( ANSI sells it for US $ 104, while ISO sells it for CHF 102, 00 ) and many examples seen in public diverge from the standard, many symbols and public signs using it have not actually been based on the official standard, but instead on inexact copies or interpretations of signs or symbols seen by each graphic artist.

Since disbandment the USC has assumed a place of " almost mythic proportions " within Unionist folklore, whereas in the Nationalist community they are still reviled as the Protestant only, armed wing of the Unionist government " associated with the worst examples of unfair treatment of Catholics in Northern Ireland by the police force ".

Since the beginning of the twentieth century, the main headquarters have been placed in the old convent of the Dominican Order, cloister which is one of the best examples of religious architecture in the city.

Since then various hip-hop / Korean-traditional hybrid music bands began to appear with examples like Sorea ( Sound of Korea ) which made the hit track ' Seoul in Panic '.

Since greenness is apparently detached from physiology, however, some Orks have known to become extremely dark without becoming either nobles or bosses ; such examples are known as Black Orks, and serve as elite infantry and as the personal bodyguards of bosses and nobles.

Since it is undecidable, by Chagrova's theorem, whether an arbitrary modal formula has a first-order correspondent, there are formulas with first-order frame conditions that are not Sahlqvist 1991 ( see the examples below ).

( Caveat: Since examples such as the Pistol Star have been demoted by improved data, one should be skeptical of most available lists of " most massive stars.

Since civilizational change is the most difficult to perceive and analyze, it seldom is given adequate attention.

Since then and during the first decade, the results were given to newspapers for publication at 11 pm on the night of the awards.

Since is the distance from a given number to the mean, one way to interpret this property is as saying that the numbers to the left of the mean are balanced by the numbers to the right of the mean.

Since the mid-1890s Schweitzer had formed the inner resolve that it was needful for him as a Christian to repay to the world something for the happiness which it had given to him, and he determined that he would pursue his younger interests until the age of thirty and then give himself to serving humanity, with Jesus serving as his example.

Since the time of Catherine II the ranks of Abbot and Archimandrite have been given as honorary titles in the Russian Church, and may be given to any monastic, even if he does not in fact serve as the superior of a monastery.

Since algorithms are platform-independent ( i. e. a given algorithm can be implemented in an arbitrary programming language on an arbitrary computer running an arbitrary operating system ), there are significant drawbacks to using an empirical approach to gauge the comparative performance of a given set of algorithms.

Since the reference model given for traffic policing in the network is the GCRA, this algorithm is normally used for shaping as well, and single and dual leaky bucket implementations may be used as appropriate.

Since 31 December 2003, the system has been closed to new users, at that time, it covered 100 % of the Spanish population, but now some antennas have been given to GSM operators.

Since 1980, each voter names three rookies: a first-place choice is given five points, a second-place choice three points, and a third-place choice one point.

Since 1998, home field advantage has been given to the team that has the better regular season record, unless that team happens to be the Wild Card team.

The proof of this fact relies on an algorithm which, given the first n digits of Ω, solves Turing's halting problem for programs of length up to n. Since the halting problem is undecidable, Ω can not be computed.

Since only one tech may be " researched " at any given time, the order in which technologies are chosen makes a considerable difference in the outcome of the game and generally reflects the player's preferred style of gameplay.

Since 1968, the Joseph Jefferson Awards are given annually to acknowledge excellence in theater in the Chicago area.

* 1824 – United States presidential election, 1824: Since no candidate received a majority of the total electoral college votes in the election, the United States House of Representatives is given the task of deciding the winner in accordance with the Twelfth Amendment to the United States Constitution.

Since the cultivation of coffee required the highest lands in the country, many of these lands were expropriated from indigenous reserves and given or sold cheaply to those that could cultivate coffee.

Since World War II, the Red Sox have had 18 batting champions ( through 1989 )... Five to 7 points are a lot, given that there may be only a 15-or 20-point spread between a good hitting team and a poor hitting team.

Since Peter, the bishop of Alexandria, was not present, the presidency over the Council was given to Meletius as bishop of Antioch.

Since the brain effects of hypoglycemia, termed neuroglycopenia, determine whether a given low glucose is a " problem " for that person, most doctors use the term hypoglycemia only when a moderately low glucose level is accompanied by symptoms or brain effects

Since most Episcopalians had given their support to the Jacobite rebellions in the early 18th century, they also suffered a decline in fortunes.

* Since 2006 it helped establish the Sir Arthur Clarke Award, the most prodigious award given in the United Kingdom for contribution in all field of space research and exploration.

Since 1970, the government has given high priority to education in order to develop a domestic work force, which the government considers a vital factor in the country's economic and social progress.

Since that time, a few more genera have been erected, and some segregates of Brunnichia, Eriogonum, and Persicaria have been given generic status in major works.

Since then, Languedoc has built exclusively for the two, and his designs and traditional wood choices have given Phish a unique instrumental identity.