noun

definition

An action which divides a thing into parts, or separates one thing from another.

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A part of something that has been divided.

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An approach to division in which one asks what the size of each part is, rather than (as in quotition) how many parts there are.

definition

The division of a territory into two or more autonomous ones.

example

Monarchies where partition isn't prohibited risk weakening trough parcellation and civil wars between the heirs

definition

A vertical structure that divides a room.

example

a brick partition; lath and plaster partitions

definition

That which divides or separates; that by which different things, or distinct parts of the same thing, are separated; boundary; dividing line or space.

definition

A part divided off by walls; an apartment; a compartment.

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The severance of common or undivided interests, particularly in real estate. It may be effected by consent of parties, or by compulsion of law.

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A section of a hard disk separately formatted.

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A division of a database or one of its constituting elements such as tables into separate independent parts.

definition

A collection of non-empty, disjoint subsets of a set whose union is the set itself (i.e. all elements of the set are contained in exactly one of the subsets).

definition

A musical score.

verb

definition

To divide something into parts, sections or shares

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To divide a region or country into two or more territories with separate political status

definition

To separate or divide a room by a partition (ex. a wall), often use with off

Examples of partitions in a Sentence

The warehouse was lit, but metal-framed partitions covered in sheeting formed a maze.

The Daniell type consists of a teak trough divided into five cells by slate partitions coated with marine glue.

If the coenosteum of Millepora be broken across, each pore-canal (perhaps better termed a polypcanal) is seen to be interrupted by a series of transverse partitions, representing successive periods of growth with separation from the underlying dead portions.

Recalling the formulae above which connect s P4 and a m, we see that dP4 and Dp q are in co-relation with these quantities respectively, and may be said to be operations which correspond to the partitions (pq), (10 P 01 4) respectively.

Jackson began ripping down the sheets and knocking over the partitions as he yelled for Elisabeth.

This is the typical arrangement, which is exhibited in the majority of the Polychaeta and Oligochaeta; in these the successive chambers of the coelom are separated by the intersegmental septa, sheets of muscle fibres extending from the body wall to the gut and thus forming partitions across the body.

Even so, Prussia was bereft of half of her territories; those west of the river Elbe went to swell the domains of Napoleon's vassals or to form the new kingdom of Westphalia for Jerome Bonaparte; while the spoils which the House of Hohenzollern had won from Poland in the second and third partitions were now to form the duchy of Warsaw, ruled over by Napoleon's ally, the elector (now king) of Saxony.

Under the general heading "Algebra and Theory of Numbers" occur the subheadings "Elements of Algebra," with the topics rational polynomials, permutations, &c., partitions, probabilities; "Linear Substitutions," with the topics determinants, &c., linear substitutions, general theory of quantics; "Theory of Algebraic Equations," with the topics existence of roots, separation of and approximation to, theory of Galois, &c. "Theory of Numbers," with the topics congruences, quadratic residues, prime numbers, particular irrational and transcendental numbers.

Those in the middle are thin, having only the pavement of the cella to support, and are provided with doors and partitions that make a sort of subterranean labyrinth.

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.

It is convenient to write the distinct partitions or separates in descending order as regards weight.

The partitions being taken as denoting symmetric functions we have complete correspondence between the algebras of quantity and operation, and from any algebraic formula we can at once write down an operation formula.

Every symmetric function denoted by partitions, not involving the figure unity (say a non-unitary symmetric function), which remains unchanged by any increase of n, is also a seminvariant, and we may take if we please another fundamental system, viz.

The extraordinary advantage of the transformation of S2 to association with non-unitary symmetric functions is now apparent; for we may take, as representative forms, the symmetric functions which are symbolically denoted by the partitions referred to.

If we wish merely to enumerate those whose partitions contain the figure 0, and do not therefore contain any power of a as a factor, we have the generator ze 1-z2.1-z3.1-z4....1-z0.

Remark, too, that we are in association with non-unitary symmetric functions of two systems of quantities which will be denoted by partitions in brackets ()a, ()b respectively.

The circulation of air in any given division of the mine is further controlled and its course determined by temporary or permanent partitions, known as brattices, by the erection of stoppings, or by the insertion of doors in the mine passages and by the use of special airways.

Thus the main features of the Japanese dwelling-house were evolved, and little change took place subsequently, except that the brush of the painter was freely used for decorating partitions, and in aristocratic mansions unlimited care was exercised in the choice of rare woods.

Further divisions followed, and the weakness caused by these partitions was accentuated by a rivalry between the two main branches of the family.

Accordingly the Dual State was involved in a common downfall, and in the three partitions of 1772, 1792 and 1795 to which it was subjected at the hands of Russia, Prussia and Austria, Lithuania fell a prey to Russia and Prussia.

The precipitating boxes, generally made of wood but sometimes of steel, and set on an incline, are divided by partitions into alternately wide and narrow compartments, so that the liquor travels upwards in its passage through the wide divisions and downwards through the narrow divisions.

The ventilation of ends is effected by means of brattices or temporary partitions of thin boards placed midway in the drift, and extending to within a few feet of the face.

The influence of the Swabian branch of the Hohenzollerns was weakened by several partitions of its lands; but early in the 16th century it rose to some eminence through Count Eitel Frederick II.

It not unfrequently happens that some of the larger houses have one or more partitions, but these are only posts of the main building left by the builders to support the roof, for the apartments have usually no communication with each other except by water.

When Louis was dying in 840, he sent the imperial insignia to Lothair, who, disregarding the various partitions, claimed the whole of the Empire.

The three carpels forming the pepo are separated by partitions (cl).

The Poles were, together with the Ruthenians, the youngest Austrian nation; the repeated partitions of Poland since the 18th century brought them unwillingly under Austrian rule.

Lithuania and the Ruthenian Palatinates, the spoil of former partitions, continued to be incorporated with Russia.

Arbogast's rule of the last and the last but one; in fact, taking the value of a to be unity, and, understanding this letter in each term, the rule gives b; c, b2; d, bc, b; e, bd, c, b c, b, &c., which, if b, c, d, e, &c., denote I, 2, 3, 4, &c., respectively, are the partitions of 1, 2, 3, 4, &c., respectively.

An important notion is that of conjugate partitions.

We have for the number of partitions an analytical theory depending on generating functions; thus for the partitions of a number n with the parts I, 2, 3, 4, 5, &c., without repetitions, writing down the product I +x.

The formula shows that except for numbers of the form (3n 2 n) the number of partitions without repetitions into an odd number of parts is equal to the number of partitions without repetitions into an even number of parts, whereas for the excepted numbers these numbers differ by unity.

Thus for the number II, which is not an excepted number, the two sets of partitions are in each set 6.

The cathammal areas may remain very small, mere wedge-shaped partitions dividing up the coelenteron into a four-lobed stomach, the lobes of which communicate at the periphery of the body by a spacious ring-canal.

This geographical division was not reproduced by Rome in any administrative partitions of the province.

There is little evidence for partitions inside, and in wealthy establishments the place of rooms seems to have been supplied by separate buildings within the same enclosure.

When this failed, as happened during the wars and partitions which followed the death of Louis, the fate of this Church, with no effective head and under no regular direction, was very uncertain.

This prosperity, however, was checked by a growing tendency among the Silesian dynasties to make partitions of their territories at each new succession.

There were 18 cells or cubicles on each side, divided by partitions, the bases of which remain.

The cella - divided, like that of Zeus, into three partitions by a double row of columns - had four " tongue-walls," or small screens, projecting at right angles from its north wall, and as many from the south wall.

The efforts of the dukes to increase their power and to give unity to the duchy had met with a fair measure of success; but they were soon vitiated by partitions among different members of the family which for 250 years made the history of Bavaria little more than a dejune chronicle of territorial divisions bringing war and weakness in Division their train.

This was the first of the many partitions which effectually divided the kingdom of the Franks into an eastern and a western portion, that is to say, into divisions which eventually became Germany and France respectively, and the district ruled by Theuderich was almost identical with that which afterwards bore the name of Austrasia.

Both first and second compartments are remarkable for the presence of a number of pouches or cells in their walls, with muscular partitions, and a sphincter-like arrangement of their orifices, by which they can be shut off from the rest of the cavity, and into which the fluid portion only of the contents of the stomach is allowed to enter.

The kernel consists mainly of the abundant endosperm, which is firm, whitish in colour and marbled with numerous reddish-brown vein-like partitions, into which the inner seedcoat penetrates, forming what is known botanically as ruminated endosperm.

At Baltimore he gave an enormous impetus to the study of the higher mathematics in America, and during the time he was there he contributed to the American Journal of Mathematics, of which he was the first editor, no less than thirty papers, some of great length, dealing mainly with modern algebra, the theory of numbers, theory of partitions and universal algebra.

Both these reactions are carried out in tall cylindrical columns or " stills," consisting of a number of superposed cylinders, having perforated horizontal partitions, and provided with a steam-heating arrangement in the enlarged bottom portion.

In the galleries are situated the cells, separated from one another by transverse partitions, which are formed of chips of wood, cemented by the saliva of the bee.

The Church was broken up by the successive partitions of Poland, and those parts of it which fell to Russia were, notably under Catherine II.

The Hydromedusae are distinguished from the Scyphozoa chiefly by negative characters; they have no stomodaeum, that is, no ingrowth of ectoderm at the mouth to form an oesophagus; they have no mesenteries (radiating partitions) which incompletely subdivide the coelenteron; and they have no concentration of digestive cells into special organs.

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