This partition is termed the specification of the separation.
Napoleon desired to press on the partition of Prussia, Alexander that of Turkey.
To complete her misfortunes, the European powers, the church and the small states of Italy, partly from jealous greed of her possessions, partly on the plea of her treason to Christendom in making terms with Islam, partly from fear of her expansion in north Italy, coalesced at Cambrai in 1508 for the partition of Venetian possessions.
Be enclosed in a bracket we obtain a partition of the weight w which appertains to the separated partition.
A n - 2 - 3) (P2P4...pn_2)ï¿½ The expression just written is in fact a partition of a partition, and to avoid confusion of language will be termed a separation of a partition.
It but remains to call attention to the fact that the earlier view of the liver as the seat of the soul gave way among many ancient nations to the theory which, reflecting the growth of anatomical knowledge, assigned that function to the heart, while, with the further change which led to placing the seat of soul-life in the brain, an attempt was made to partition the various functions of manifestations of personality among the three organs, brain, heart and liver, the intellectual activity being assigned to the first-named; the higher emotions, as love and courage, to the second; while the liver, once the master of the entire domain of soul-life as understood in antiquity, was degraded to serve as the seat of the lower emotions, such as jealousy, anger and the like.
Clerk Maxwell supposed two compartments, A and B, to be filled with gas at the same temperature, and to be separated by an ideal, infinitely thin partition containing a number of exceedingly small trap-doors, each of which could be opened or closed without any expenditure of energy.
After taking Castel Bolognese he returned to Rome in June, to take part in the Franco-Spanish intrigues for the partition of Naples.
When the patriots under Koscziusko made a desperate effort to recover the national independence the struggle produced a third partition (1795), by which the remainder of the kingdom was again divided between Russia, Prussia and Austria.
In the partition of the Greek empire after the capture of Constantinople by the Latins in 1204, Crete fell to the lot of Boniface, marquis of Montferrat, but was sold by him to the Venetians, and thus passed under the dominion of that great republic, to which it continued subject for more than four centuries.
Nevertheless, subsequent attempts on the part of Poland to subordinate Lithuania drove Witowt for the third time into the arms of the Order, and by the treaty of Salin in 1398, Witowt, who now styled himself Supremus Dux Lithuaniae, even went so far as to cede his ancestral province of Samogitia to the knights, and to form an alliance with them for the conquest and partition of Pskov and Great Novgorod.
When Frederic the Great gained West Prussia by the first partition of Poland (1772), he was uniting together once more the dominions of the Order, sundered since 1466; and it is the kings of Prussia who have inherited the Order's task of maintaining German influence on the banks of the Vistula.
The distance of the plants on one ridge from those on the contiguous one he called an interval; the distance between the rows on the same ridge, a space or partition; the former was stirred repeatedly by the horse-hoe, the latter by the hand-hoe.
In the partition of the spoils Venice claimed and received, in her own phrase, "a half and a quarter of the Roman empire."
Lord Aberdeen made no secret of his dislike for the Turks, and openly expressed his disbelief in the reality of their reforms; and in January 1853 the tsar, in conversation with Sir Hamilton Seymour, the British ambassador at St Petersburg, spoke of the Ottoman Empire as " the Sick Man," and renewed the proposals for a partition made in 1844.
The partition method of treating symmetrical algebra is one which has been singularly successful in indicating new paths of advance in the theory of invariants; the important theorem of expressibility is, directly we exclude unity from the partitions, a theorem concerning the expressibility of covariants, and involves the theory of the reducible forms and of the syzygies.
A partition is separated into separates so as to produce a separation of the partition by writing down a set of partitions, each separate partition in its own brackets, so that when all the parts of these partitions are reassembled in a single bracket the partition which is separated is reproduced.
A partition, (pipipip2p2p3) = can be separated in the manner (p 1 p 2) (PIP2) (p1P3) = (1)12,2) 2 (plp3), and we may take the general form of a partition to be (pi i p2 2 p3 3 ...) and that of a separa tion (J 1) 1 1(J 2) 5 2(J 3) 1 3...
The sum of the n th powers of the quantities, is expressible in terms of functions which are symbolized by separations of any partition (n"1n'2n'3...) 1 !
" The symmetric function (m ï¿½8 m' 2s m ï¿½3s ...) whose is 2s 3s partition is a specification of a separation of the function symbolized by (li'l2 2 l3 3 ...) is expressible as a linear function of symmetric functions symbolized by separations of (li 1 12 2 13 3 ...) and a symmetrical table may be thus formed."
+an we may write in general D s f = ZD(p l p 2 p 3 ï¿½ï¿½) the summation being for every partition (piP2p3...) of s, and D(p iP2 p 3 ...)f being =2 (Dpifi)(DP2f2) (DL'h3f3)f4...f,n.
In the next year Matteo, being judged incompetent to rule, was assassinated by order of his brothers, who made an equal partition of their subject citiesBernab residing in Milan, Galeazzo in Pavia.
Early in the year 1798 the Austrians, in pursuance of the scheme of partition agreed on at Campo Formio, entered Venice and brought to an end its era of independence which had lasted some 1100 years.
But in 1603 he was able, on the partition of the Dacre lands, to make his home at Naworth Castle, where he lived, a border patriarch, cultivating his estates and serving as a commissioner of the borders.
He was forced to acquiesce in the first partition of Poland, and when Russia came off third best, Gregory Orlov declared in the council that the minister who had signed such a partition treaty was worthy of death.
In the latter case, the numerous bands of muscle attaching the pharynx to the parietes have obliterated the regular partition by means of septa.
When the Macedonian empire was divided in 323 (the "Partition of Babylon") Seleucus was given the office of chiliarch (Gr.
A new partition of the empire followed, by which Seleucus added to his kingdom Syria, and perhaps some regions of Asia Minor.
At the end of 275 the question of Palestine, which had been open between the houses of Seleucus and Ptolemy since the partition of 301, led to hostilities (the "First Syrian War").
Epiphanes succeeded to the Egyptian throne, and Antiochus concluded a secret pact with Philip of Macedonia for the partition of the Ptolemaic possessions.
The partition of Turkey had to be postponed; the financial collapse of England could not be expected now that she framed an alliance with the Spanish patriots and had their markets and those of their colonies opened to her; and the discussions with the tsar Alexander, which had not gone quite smoothly, now took a decidedly unfavourable turn.
Of Belgium and the partition of the greater part of Africa between various European powers.