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so-called and triangle
A more general binomial theorem and the so-called " Pascal's triangle " were known in the 10th-century A. D. to Indian mathematician Halayudha and Persian mathematician Al-Karaji, in the 11th century to Persian poet and mathematician Omar Khayyam, and in the 13th century to Chinese mathematician Yang Hui, who all derived similar results .< ref > Al-Karaji also provided a mathematical proof of both the binomial theorem and Pascal's triangle, using mathematical induction.
The city is situated in a valley at the foot of the Erzgebirge mountains and is also part of the so-called Saxon triangle metropolitan area, an economic network which includes Leipzig-Halle, Dresden.
These lots were located within and around the so-called village " triangle " defined by West Main, Spang, and East Main Streets.
These lots were located within and around the so-called village " triangle " defined by West Main, Spang, and East Main Streets.
The remaining three regions, the so-called areas of Zichenau, Eastern Upper Silesia and the Suwalki triangle were attached to adjacent Gaus of Germany.
Yu, Su Tseng-chang, and Hsieh San-sheng made the so-called " iron triangle " in the Assembly.
The " continuous staircase " was first presented in an article that the Penroses wrote in 1959, based on the so-called " triangle of Penrose " published by Roger Penrose in the British Journal of Psychology in 1958.
A major step in the " linguistic turn " of 20th century British philosophy, The Meaning of Meaning set out principles for understanding the function of language and described the so-called semantic triangle.
Bischofsheim lies south of the Main and east of the Rhine in the so-called Mainspitze triangle, a narrow piece of land between the Main and Rhine where the former empties into the latter.
As Craxi's relationship with the then National Secretary of the DC, Ciriaco De Mita, was even worse, Andreotti was instrumental in the creation of the so-called " CAF triangle " ( from the initials of the surnames of Craxi, Andreotti and another DC leader, Arnaldo Forlani ) opposing De Mita's power.
However, with the advent of mechanisation this sector requires less manpower throughout the year, and most farm workers now work only seasonally during the grape harvest, in the so-called " sherry triangle ".
The town is part of the so-called tourist triangle Puławy – Kazimierz Dolny – Nałęczów.
A so-called " triangle of brotherhood " has developed between the most heavily supported left-wing fan clubs of Olympique de Marseille, Livorno, and AEK Athens, namely between Commando Ultras 84, Brigate Autonome Livornesi 99, and Original 21.
The party's main constituency were the industrial elites of the North-West, the so-called " industrial triangle " formed by Turin, Milan and Genoa.

so-called and is
It is a weakness of Gabriel's analysis that he never seems to realize that his so-called fundamental law had already been cut loose from its foundations when it was adapted to democracy.
One of the most significant advancements in design of plastics signs is the so-called trans-illuminated billboard, now being produced by several large sign manufacturers such as Advance Neon Sign Co., Los Angeles, and Industrial Electric Inc., New Orleans, La..
This slip is so-called because its semi-ambiguous English always seems to refer to a person's anatomy but never quite means what it seems to say.
Her conclusion has been borne out in the experience of many practitioners: `` short-contact interviewing is neither a truncated nor a telescoped experience but is of the same essential quality as the so-called intensive case work ''.
Technique pure and simple, rendition, is not of major importance, but it is interesting that Parker, following Lester Young, was one of the leaders of the so-called saxophone revolution.
Pope Pius 12, declared in 1951 that it is possible to be exempt from the normal obligation of parenthood for a long time and even for the whole duration of married life, if there are serious reasons, such as those often mentioned in the so-called medical, eugenic, economic and social `` indications ''.
The so-called vegetable ivory is the hard endosperm of the egg-sized seed.
One is that whatever is ecumenical has to do with some over-all organization at `` the top '' and needs only to be understood at the so-called `` lower levels ''.
Andalusian so-called Algerian classical music is a musical style that was reported in Algeria by Andalusian refugees who fled the inquisition of the Christian Kings from the 11th century, it will develop considerably in the cities of the North of the Algeria.
The life-size so-called " Adonis " found in 1780 on the site of a villa suburbana near the Via Labicana in the Roman suburb of Centocelle is identified as an Apollo by modern scholars.
He is the so-called " Mad Arab " credited with authoring the imaginary book Kitab al-Azif ( the Necronomicon ), and as such is an integral part of Cthulhu Mythos lore.
The area around Abensberg, the so-called sand belt between Siegburg, Neustadt an der Donau, Abensberg and Langquaid, is used for the intensive farming of asparagus, due to the optimal soil condition and climate.
For example, a common claim is that individuals who are diagnosed with one of the so-called " lesser disabilities " are being " accommodated " when they should not be.
There is no contemporary evidence that Alfred and Guthrum agreed upon a formal treaty at this time ; the so-called Treaty of Wedmore is an invention of modern historians.
Many of the sweets produced in this region, such as quince, sweet potato, molasses and dulce de cayote jams, have given rise to a very well known and easily made dessert referred to as vigilante, or to so-called queso y dulce ( where a piece of fresh cheese is served with one of the sweets mentioned above ).
For this reason, parallel computing is only useful for either small numbers of processors, or problems with very high values of P: so-called embarrassingly parallel problems.
cAMP ( cyclic adenosine monophosphate ) is an important molecule in eukaryotic signal transduction, a so-called second messenger.
This is equivalent to the so-called flexible identity
The so-called dezincification resistant ( DZR or DR ) brasses are used where there is a large corrosion risk and where normal brasses do not meet the standards.
The hard outer layer of bones is composed of compact bone tissue, so-called due to its minimal gaps and spaces.

so-called and example
Outpacing that of wine since 2001, the growing production and consumption of beer has supported the existence of related events, for example the so-called Oktoberfests ( sic ) or " Fiestas de la Cerveza " in locations that have a significant German population ( Villa General Belgrano in Córdoba, San Carlos and Esperanza in the province of Santa Fe, etc .).
The so-called shotgun sequencing technique ( which was used, for example, by The Institute for Genomic Research to sequence the first bacterial genome, Haemophilus influenzae ) does not produce entire chromosomes.
A typical example is the so-called Venus of Willendorf, one of many Paleolithic Venus figurines with ample hips and bosom.
An important example of cycloaddition reaction is the Diels – Alder reaction ( the so-called cycloaddition ) between a conjugated diene and a substituted alkene to form a substituted cyclohexene system.
For example, so-called " intercity " trains in Belgium and the Netherlands carry many commuters and their equipment, range and speeds are similar to those of commuter trains in some larger countries.
The bards, according to Williams for example, were divided into so-called Fileas or Fili, who accompanied the Celtic chief.
In a so-called NMR spin echo experiment this technique uses the nuclear spin precession phase, allowing to distinguish chemically and physically completely identical species e. g. in the liquid phase, as for example water molecules within liquid water.
The second equation is a discrete-time version used, for example, by digital filters implemented in software, so-called digital signal processing.
In Greek, for example, the imperfective sometimes adds the notion of " try to do something " ( the so-called conative imperfect ); hence the same verb, in the imperfective ( present or imperfect ) and aorist, respectively, is used to convey look and see, search and find, listen and hear.
A classic example of the ideo-motor principle in action is the so-called " Chevreul pendulum " ( named after Michel Eugène Chevreul ).
For example, there was a so-called " element " that was even given the chemical name of " didymium ".
" An example of a so-called " Jonah " would be that of the sailor in Samuel Taylor Coleridge's The Rime of the Ancient Mariner, who was cursed to be lost at sea after he killed an albatross.
In the most solemn of ceremonies, for example at the coronation of a new Emperor, the Emperor's subjects would undertake the ceremony of the " three kneelings and nine kowtows ", the so-called grand kowtow, which involves kneeling from a standing position three times, and each time, performing the kowtow three times while kneeling.
Arguably, liberal professions, so-called " learned professions ", include only professions which require education at university: medicine, for example, as well as law and architecture-heirs of the Trivium and the Quadrivium.
In fact, much analysis is devoted to cases where so-called market failures lead to resource allocation that is suboptimal by some standard ( defense spending is the classic example, profitable to all for use but not directly profitable for anyone to finance ).
The most famous example of this is the putative division of all the aspects of the so-called Great Goddess into a number of goddesses with more specialized functions — Gaea, Demeter, Persephone, Artemis and Hecate among them.
The so-called entanglement swapping is a simple and illustrative example.
For example al-Kashi ( c. 1400 ) used so-called diameter parts as units where one diameter part was 1 / 60 radian and they also used sexagesimal subunits of the diameter part.
A more recent example is the so-called Satanic ritual abuse scare of the 1980s — beginning with the memoir Michelle Remembers — which depicts Satanism as a vast ( and unproven ) conspiracy of elites with a predilection for child abuse and human sacrifice.
For example the Berlin Philharmonic Orchestra sells internet live streams of whole concerts, instead of several CDs or similar fixed media, by their so-called " Digital Concert Hall " using YouTube for " trailing " purposes only.
This is the so-called " tetrode kink " and is an example of negative resistance which can itself cause instability.
These so-called " hotspots ", for example Hawaii, are postulated to arise from upwelling diapirs with magma from the core – mantle boundary, 3, 000 km deep in the Earth.
See, for example, the case of Meyer v. Mitnick, 625 N. W. 2d 136 ( Michigan, 2001 ), whose ruling found the following reasoning persuasive: " the so-called ' modern trend ' holds that because an engagement ring is an inherently conditional gift, once the engagement has been broken, the ring should be returned to the donor.

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