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By the s, a significant number of machine translation engines which Brown et. al () proposed the use of statistical methods in Machine Translations. parse tree into a target-language string by applying stochastic operations . Once both finish, the uni-directional encoder layers start computing .

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Hume, R. Ibn' Arabi, M. Ignatius van Loyola : Geestelijke oefeningen , Lannoo - Tielt, Junayd : Enseignement spirituel , Sindbad - Paris, Leemhuis, F. Maitreya, A. Masseron, A. Marcault, E. Miller, R. Nagarjuna : Stances du mileu par excellence , Gallimard - Paris, Nagarjuna : Mulamadhyamakakarika , Shakti Nagar - Delhi, O'Flaherty, W. Otten, M. Pine, R.

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Chittick, W. Chodkiewicz, M. Chokyi, N. Chodron, T. Churon, T. Claes, J. Claeys, R.

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Clark, J. Clark, M. Clark, W. Clark, P. Clemson, B. Cleary, T. Cogen, E. Cohen, H. Cohen, T. Coleman, G. Colledge, E. Cooper, D. Cooper, B. Cowell, E. Coquet, M. Cox, M. Corbin, H. Couliano, I. Coyle, G. Cozort, D. Croce, B. Culler, J. Curle, A. Cushing, J. Carlson, L. Chabanis, C. Chenu, M. Corrington, R. In the first part of the paper, we show that this category is isomorphic to the category of unital left modules over the Steinberg algebra of the skew-product groupoid arising from the grading.

To do this, we show that the Steinberg algebra of the skew product is graded isomorphic to a natural generalisation of the Cohen—Montgomery smash product of the Steinberg algebra of the underlying groupoid with the grading group. In the second part of the paper, we study the minimal that is, irreducible representations in the category of graded modules of a Steinberg algebra, and establish a connection between the annihilator ideals of these minimal representations, and effectiveness of the groupoid. Specialising our results, we produce a representation of the monoid of graded finitely generated projective modules over a Leavitt path algebra.

Ring Theory, Antwerp : F Van Oystaeyen :

We deduce that the lattice of order-ideals in the K 0 -group of the Leavitt path algebra is isomorphic to the lattice of graded ideals of the algebra. We also investigate the graded monoid for Kumjian—Pask algebras of row-finite k -graphs with no sources. We prove that these algebras are graded von Neumann regular rings, and record some structural consequences of this. Zentralblatt MATH identifier The city also suffered considerable war damage by V-bombs, and in recent years other noteworthy buildings were demolished for new developments.

Modern Antwerp's broad avenues mark the position of the original fortifications. After the establishment of Belgian independence, Antwerp was defended by the citadel and an enceinte around the city. In , seventeen of the twenty-two fortresses constructed under Wellington 's supervision in — were dismantled and the old citadel and enceinte were removed. This enceinte is protected by a broad wet ditch, and in the caponiers are the magazines and store chambers of the fortress. The enceinte has nineteen openings or gateways, but of these seven are not used by the public.

They begin on the north near Wijnegem and the zone of inundation, and terminate on the south at Hoboken. In Fort Merksem and the redoubts of Berendrecht and Oorderen were built for the defence of the area to be inundated north of Antwerp. In the s, the fortifications of Antwerp were deemed to be out of date, given the increased range and power of artillery and explosives. Importantly it handles high volumes of economically attractive general and project cargo, as well as bulk cargo. Antwerp's docklands, with five oil refineries , are home to a massive concentration of petrochemical industries, second only to the petrochemical cluster in Houston , Texas.

Electricity generation is also an important activity, with four nuclear power plants at Doel, a conventional power station in Kallo, as well as several smaller combined cycle plants. There are plans for a wind farm in a disused area of the docklands. The old Belgian bluestone quays bordering the Scheldt for a distance of 3. Antwerp's other great mainstay is the diamond trade that takes place largely within the diamond district. The city has four diamond bourses : one for bort and three for gem quality goods.

Since World War II families of the large Hasidic Jewish community have dominated Antwerp's diamond trading industry, although the last two decades have seen Indian traders become increasingly important. Antwerp World Diamond Centre, the successor to the Hoge Raad voor Diamant , plays an important role in setting standards, regulating professional ethics, training and promoting the interests of Antwerp as a centre of the diamond industry.

An eight lane motorway bypass encircles much of the city centre and runs through the urban residential area of Antwerp. The banks of the Scheldt are linked by three road tunnels in order of construction : the Waasland Tunnel , the Kennedy Tunnel and the Liefkenshoek Tunnel Daily congestion on the Ring led to a fourth high volume highway link called the " Oosterweelconnection" being proposed. It would entail the construction of a long viaduct and bridge the Lange Wapper over the docks on the north side of the city in combination of a widening of the existing motorway into a 14 lane motorway.

Eventually the plans were rejected in a public referendum in , thus causing further delays. In September the Flemish Government decided to replace the bridge by a series of tunnels. There are ideas to cover the Ring in a similar way as happened around Paris, Hamburg, Madrid and other cities.

This would reconnect the city with its suburbs and would provide development opportunities to accommodate part of the foreseen population growth in Antwerp which currently are not possible because of the pollution and noise generated by the traffic on the Ring. An old plan to build an R2 outer ring road outside the built up urban area around the Antwerp agglomeration for port related traffic and transit traffic never materialised.

Antwerp is the focus of lines to the north to Essen and the Netherlands, east to Turnhout, south to Mechelen, Brussels and Charleroi via Luttre, and southwest to Ghent and Ostend. Antwerp Central station is an architectural monument in itself, and is mentioned in W G Sebald's haunting novel Austerlitz. Prior to the completion in of a tunnel that runs northwards under the city centre to emerge at the old Antwerp Dam station, Central was a terminus.

Now, they call at the new lower level of the station before continuing in the same direction. Antwerp is also home to Antwerpen-Noord, the largest classification yard for freight in Belgium and second largest in Europe. The majority of freight trains in Belgium depart from or arrive here. It has two classification humps and over a hundred tracks. The city has a web of tram and bus lines operated by De Lijn and providing access to the city centre, suburbs and the Left Bank. The tram network has 12 lines, of which the underground section is called the " premetro" and includes a tunnel under the river.

Antwerp International Airport is in the district of Deurne. The airport is connected by bus to the city centre.

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The airport is connected by bus and by train to the city centre of Antwerp. The new Diabolo rail connection will provide a direct fast train connection between Antwerp and Brussels Airport starting from Summer There is also direct a rail service between Antwerp and Charleroi, home to Brussels South Charleroi Airport, which runs every hour.

In the early years after the Belgian independence, Antwerp was gouverned by Catholic-Unionist mayors. Between and , all mayors were from the Liberal Party with the exception of the so-called Meeting-intermezzo between and Between and , the city had a Catholic mayor again: Frans Van Cauwelaert. Antwerp had an artistic reputation in the 17th century, based on its school of painting, which included Rubens , Van Dyck , Jordaens, the two Teniers and many others. Informally, most Antverpians in Dutch Antwerpenaren , people from Antwerp daily speak Antverpian in Dutch Antwerps , a dialect that Dutch-speakers know as distinctive from other Brabantic dialects through its typical vowel pronunciations: approximating the vowel sound in 'bore'— for one of its long 'a'-sounds while other short 'a's are very sharp like the vowel sound in 'hat'.

Antwerp is a rising fashion city, and has produced designers such as the Antwerp Six. The city has a cult status in the fashion world, due to the Royal Academy of Fine Arts, one of the most important fashion academies in Europe. It has served as the learning centre for a large number of Belgian fashion designers.

Since the s, several graduates of the Belgian Royal Academy of Fine Arts have become internationally successful fashion designers in Antwerp. Antwerp is famous for its local products. In August every year the Bollekesfeest takes place.