The necessity for defence from attacks ( for monastic houses tended to accumulate rich gifts ), economy of space and convenience of access from one part of the community to another, by degrees dictated a more compact and orderly arrangement of the buildings of a monastic coenobium.

Sometimes, the genome arrangement facilitates the sequencing of the model organism's genome, for example, by being very compact or having a low proportion of junk DNA ( e. g. yeast, Arabidopsis, or pufferfish ).

Most recently, fields using inflatable bunkers, tethered to the ground with stakes, have become standard for most tournament formats ; the soft, yielding bunkers reduce the occurrence of injuries, the bunkers deflate to store in a compact space and anchor to the ground with tent stakes, allowing for temporary fields to be set up and torn down with less impact on the ground underneath, and the arrangement of bunkers can be easily re-configured to maintain novelty of play or to simulate a predetermined field layout for an upcoming event.

By the early 1960s, this arrangement was common on both full-size and compact wagons.

In information goods, the valuable part is a pattern in which the material is arranged-the arrangement of ink on paper, paint on canvas, magnetic elements on a tape, a series of dents ( pits ) on a compact disc, etc.

This experiment tested the hypothesis that ELS's of the names of famous rabbinic personalities and their respective birth and death dates form a more compact arrangement than could be explained by chance.

Consider a plane with a compact arrangement of spheres on it.

It is generally accepted that MacPherson struts are the most compact arrangement for front-engined vehicles, where space between the wheels is required to place the engine.

A church and a belfry tower, compact arrangement of the marketplace, some part of the river of Wisłok, railway tracks, a park and terrace based detached house estates may be seen from quite a long distance.

Coke was disgusted by this arrangement, describing it as a " revolting compact ".

The development of Betacam and other compact half inch cassette formats allowed the integration of the field recorder into a single, shoulder mounted arrangement which was a major advancement in news gathering, while producing lifelong back injuries to many who carried the cameras on a daily basis.

This arrangement is best suited to single cylinders, and can be made very compact and light for travelling.

In following with what their competitors had already been doing, Kawasaki's new engine featured a stacked gear arrangement in which the crankshaft, primary drive and countershaft are placed in a triangular format for a shorter, more compact powerplant.

The Zoomer sold in European countries features a compact, single point programmed fuel injection ( PGMFI ) system, consisting of a single fuel injector, a different fuel pump arrangement, and an oxygen sensor fitted just before the exhaust silencer.

While bucket seats continued to gain popularity among compact and sports cars, the traditional bench seat, which could seat up to three people abreast, continued to be the preferred front seating arrangement in larger cars and trucks until the late 1990s.

** A uniform space is compact if and only if it is complete and totally bounded.

* Corollary If X is a Banach space, then X is reflexive if and only if X ′ is reflexive, which is the case if and only if its unit ball is compact in the weak topology.

is unital if and only if X is compact.

A 25 W compact fluorescent light bulb puts out around 1700 lumens ; if that light is radiated equally in all directions, it will have an intensity of around 135 cd.

The Bolzano – Weierstrass theorem gives an equivalent condition for sequential compactness when considering subsets of Euclidean space: a set then is compact if and only if it is closed and bounded.

A subset of Euclidean space in particular is called compact if it is closed and bounded.

Specifically, a topological space is compact if, whenever a collection of open sets covers the space, some subcollection consisting only of finitely many open sets also covers the space.

Formally, a topological space X is called compact if each of its open covers has a finite subcover.

A subset K of a topological space X is called compact if it is compact in the induced topology.

This is not true for infinite dimensions ; in fact, a normed vector space is finite-dimensional if and only if its closed unit ball is compact.

Then X is compact if and only if X is a complete lattice ( i. e. all subsets have suprema and infima ).

* A metric space ( or uniform space ) is compact if and only if it is complete and totally bounded.

* A metric space ( or more generally any first-countable uniform space ) is compact if and only if every sequence in the space has a convergent subsequence.

The AV node is quite compact (~ 1 x 3 x 5 mm ).

The structure of the node and the flanking paranodal regions are distinct from the internodes under the compact myelin sheath, but are very similar in CNS and PNS.

In computer science, a radix tree ( also patricia trie or radix trie or compact prefix tree ) is a space-optimized trie data structure where each node with only one child is merged with its child.

Publisher Richardson has updated the Blue Book `` but it still remains the compact reference book used by so many for those ever-changing telephone numbers, addresses, other residences, club affiliations and marriages ''.

Many theorems which are provable using choice are of an elegant general character: every ideal in a ring is contained in a maximal ideal, every vector space has a basis, and every product of compact spaces is compact.

Trabecular bone accounts for the remaining 20 % of total bone mass but has nearly ten times the surface area of compact bone.

* A nonempty compact subset of the real numbers has a greatest element and a least element.

* Sequentially compact: Every sequence has a convergent subsequence.

* Countably compact: Every countable open cover has a finite subcover.

* Limit point compact: Every infinite subset has an accumulation point.

and the moment of inertia is larger when the body has an increased radius, the speed of rotation may be increased by moving the body into a compact shape, and reduced by opening out into a straight position.

A more compact view of EMR is that the far-field that composes EMR is generally that part of the EM field that has traveled sufficient distance from the source, that it has become completely disconnected from any feedback to the charges and currents that were originally responsible for it.

* English Folk Dance and Song Society has an online shop selling books and compact disks.

The city has been referred to as the world's most compact metropolis and the " Peace Capital.

IKEA has recycling bins for compact fluorescent lamps ( CFLs ), energy saving bulbs and batteries.

Its impact has been crucial to the success of the Voyager missions to deep space, the invention of the compact disc, the feasibility of mobile phones, the development of the Internet, the study of linguistics and of human perception, the understanding of black holes, and numerous other fields.

That the several states composing the United States of America are not united on the principle of unlimited submission to their general government ; but that, by compact, under the style and title of a Constitution for the United States, and of amendments thereto, they constituted a general government for special purposes, delegated to that government certain definite powers, reserving, each state to itself, the residuary mass of right to their own self-government ; and that whensoever the general government assumes undelegated powers, its acts are unauthoritative, void, and of no force ; that to this compact each state acceded as a state, and is an integral party, its co-States forming, as to itself, the other party ; that this government, created by this compact, was not made the exclusive or final judge of the extent of the powers delegated to itself, since that would have made its discretion, and not the Constitution, the measure of its powers ; but that, as in all other cases of compact among powers having no common judge, each party has an equal right to judge for itself, as well of infractions as of the mode and measure of redress.

Because the Pacific plate is the largest of all the tectonic plates on Earth, crustal material at its western edge has had a long time since formation ( up to 170 million years ) to compact and become very dense ; hence its great height-difference relative to the higher-riding Mariana Plate, at the point where the Pacific Plate crust is subducted.

The compact size of these files has led to their widespread use in early computers, mobile phone ringtones, webpage authoring and greeting cards.