definition
The item at position n in a sequence.
definition
The item in a relatively large but unspecified position in a series.
definition
The item at position n in a sequence.
definition
The item in a relatively large but unspecified position in a series.
definition
Occurring at position n in a sequence.
definition
Occurring at a relatively large but unspecified position in a series.
As early as the nth century the Novgorodians had occasionally penetrated into Siberia; but the fall of the republic and the loss of its north-eastern dependencies checked the advance of the Russians across the Urals.
Gyula-Fehervar is the seat of a Roman Catholic bishop, and has a fine Roman Catholic cathedral, built in the 1 nth century in Romanesque style, and rebuilt in 5443 by John Hunyady in Gothic style.
Young advised them to call their state Vermont, and he also sent through them a circular letter, dated the nth of April 1777, urging the people to adopt a state constitution on the Pennsylvania model.
He was, however, sentenced to be hanged on the 12th of November; but on the nth he cut his throat with a penknife, and on the 19th of November 17 9 8 he died of the wound.
In Burma, on the other hand, where Pali was probably introduced from Ceylon, no writings in Pali can be dated before the nth century of our era.
He was instrumental in saving New York and Vermont from invasion by his brilliant victory of lake Champlain gained, on the nth of September 1814, with a flotilla of 14 vessels carrying 86 guns, over Captain George Downie's 16 vessels and 92 guns.
His system was' adopted by Abu'l-walid ibn Jannah, of Saragossa (died early in the nth century), in his lexicon (Kitab al-usul, in Arabic) and other works.
The papal bulls granting the use of mitres before the nth century are all forgeries (Liturgische Gewandung, 431-448).
At last, on the nth of April, he wrote the deed of abdication.
Finally, we reach a complex number of the nth order.
On the 12th of April Wellington advanced to invest Toulouse from the south, but Soult on the night of the nth had retreated towards Villefranque, and Wellington then entered the city.
In 1861 he was appointed United States consul at Trieste, but ill-health compelled him to resign and remove to Florence, where he died on the nth of July 1865.
Hence the formula (2) is also true for the nth power of A-I-a.
But the nth term is (3n-I)(3n+2)=18nr 21 -6nr 11 - 2.
If, in the extensive calculus of the nth category, all the units (including i and the derived units E) are taken to be homologous instead of being distributed into species, we may regard it as a (2'-I)-tuple linear algebra, which, however, is not wholly associative.
Local tradition attributes the establishment of a permanent camp at this spot to Julius Caesar, but Louvain only became important in the nth century as a place of residence for the dukes of Brabant.
But the military development and real importance of Pisa in the nth century must be attributed to the continuous and desperate struggle it maintained against the tide of Saracenic invasion from Sicily.
On the nth of June he was included by the House of Commons, in spite of a recommendatory letter from Monk, among the twenty persons excepted from the act of indemnity and subject to penalties not extending to life.
On the nth of August the wind, which had been westerly, turned to the S.E., giving him the weather gage.
Taking this sum as the nth term, we obtain the series 1+3+6+10+..
In the nth century a burgrave (chatelain, castellanus), who was an episcopal officer, is found exercising jurisdiction in the city as well as the Vogt.
It was in this house that Lord Howe on the nth of September 1776 held a peace conference with Benjamin Franklin, John Adams, and Edward Rutledge representing the Continental Congress.
The definition of the coefficients is that if (I-2h cos cp+h 2)-i be expanded in ascending powers of h, and if the general term be denoted by P„h', then P is of the Legendrian coefficient of the nth order.
For the first time we have a correct and convenient expression for Laplace's nth coefficient."
The Juarists were defeated outside the city of Mexico twice, in October 1858 and on the nth of April 1859, On the second occasion the whole body of officers, who had surrendered, were shot with Miramon's authority, if not by his express orders, together with several surgeons (including one Englishman, Dr Duval) (the fifty-three " martyrs of Tacubaya ").
The small divisions on the scale corresponded to differences of nth of a grain in the weight of the instrument.
In the nth century it became the seat of the Eppenstein family, who frequently bore the title of counts of Gorizia; and in the beginning of the 12th century the countship passed from them to the Lurngau family which continued to exist till the year 1500, and acquired possessions in Tirol, Carinthia, Friuli and Styria.
If on emergence the different portions he brought together at the focus it is obvious that the optical action must be in every respect similar to that of a grating when the nth order of spectrum is considered.
The optical effect as regards resolving power is the same as with a grating of N lines in the nth order, but, nearly all the light not absorbed by the glass may be concentrated in one or two orders.'
The geometrical mean of n quantities is the nth root of their product.
And, again, if this transaction settled the investiture question, it did not solve the problem of the reconciliation of the universal power of the popes with the claims of the emperors to the government of Europe; and the conflict subsisted - slumbering, it is true, but ever ready to awake under other forms. Nevertheless, the two great Christian agitations directed by the papacy at the end of the nth century and the beginning of the 12th - the reformation and the crusade - were of capital importance for the foundation of the immense religious monarchy that had its centre in Rome; and it is from this period that the papal monarchy actually dates.
The Norman kingdom, which had conquered Sicily and southern Italy at the end of the nth century, was almost as grave a source of anxiety to the popes of this period.
In the nth century the town and district passed to the counts of Nassau, fell to the Walram line in 1255, and in 1355 Wiesbaden became with Idstein capital of the county Nassau-Idstein.
A similar cement is a mixture of dried fresh curd with i nth of its weight of quicklime and a little camphor; it is made into a paste with water when employed.
It belongs probably to the nth century.
It is situated on the right bank of the river Theiss, and is historically known for the decisive victory won in its vicinity by Prince Eugene of Savoy over the Turks on the nth of September 1697.
He has given by means of it a simple proof of the existence of n roots, and no more, in every rational algebraic equation of the nth order with real coefficients.
Landing at Reggio di Calabria he hastened to Monza, where he conducted with firmness and tact the preparations for the burial of King Humbert and for his own formal accession, which took place on the 9th and nth of August 1900.
In the early middle ages Assisi was subject to the dukes of Spoleto; but in the nth century it seems to have been independent.
Our knowledge of the process and materials employed in niello-work is derived mainly from four writers,- Eraclius the Roman (a writer probably of the nth century), Theophilus the monk, who wrote in the 12th or 13th century,' and, in the 16th century, Benvenuto Cellini 2 and Giorgio Vasari.3 The design was cut with a sharp graving tool on the smooth surface of the metal, which was usually silver, but occasionally gold or even bronze.
He ascertained the distribution of electricity among several spheres (whether equal or unequal) placed in contact in a straight line; and he measured the distribution of 2 In 1878 Clerk Maxwell repeated Cavendish's experiments with improved apparatus and the employment of a Kelvin quadrant electrometer as a means of detecting the absence of charge on the inner conductor after it had been connected to the outer case, and was thus able to show that if the law of electric attraction varies inversely as the nth power of the distance, then the exponent n must have a value of 2 t Isua.
But though situated at a central point on Lake Malar, it was destroyed, apparently before the beginning of the nth century (exactly when or by whom is uncertain); and it never recovered.
The difference between the continued fraction and the nth convergent is less than, and greater than a n+2 These limits qn may be replaced by the following, which, though not so close, are simpler, viz.
In this case the sum to n terms of the series is equal to the nth convergent of the fraction.
The Breviary rightly so called, however, only dates from the nth century; the earliest MS. containing the whole canonical office is of the year 1099 and is in the Mazarin library.
Ricardo died on the nth of September 1823, at his seat (Gatcomb Park) in Gloucestershire, from a cerebral affection resulting from disease of the ear.
Thus, by the nth century, the Lombard cities had become "communes," commonalties, republics, managing their own affairs, and ready for attack or defence.
Beginning with the examples of the nth and 12th centuries, we find the subjects generally of an archaic style, which is evidence of an early stage of the art.
He died on the nth of November 1886.
The average date of the first killing frost at Dover is the 4th of October, and of the last, the loth of May; at Atlantic City, on the sea-coast, these dates are respectively the 4th of November and the nth of April.
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