The most common way to formalize this is by defining a field as a set together with two operations, usually called addition and multiplication, and denoted by + and ·, respectively, such that the following axioms hold ; subtraction and division are defined implicitly in terms of the inverse operations of addition and multiplication :< ref group =" note "> That is, the axiom for addition only assumes a binary operation The axiom of inverse allows one to define a unary operation that sends an element to its negative ( its additive inverse ); this is not taken as given, but is implicitly defined in terms of addition as " is the unique b such that ", " implicitly " because it is defined in terms of solving an equation — and one then defines the binary operation of subtraction, also denoted by "−", as in terms of addition and additive inverse.

The Hong Kong Transport Department ( HKTD ) allows and licenses the operation of two types of public light buses – ( 1 ) green minibuses that have route numbers, stop at designated stops ( many routes have hail and ride sections along which passengers can board and exit anywhere unless it's a no-stopping zone ) and which have their fares, service and frequency regulated by the HKTD ; and ( 2 ) red minibuses that may or may not have regular routes, may or may not be numbered, may or may not have fixed stops and whose fares and service levels are not regulated by HKTD.

The X-hat gives control over the tension holding the hats closed, and allows the player to apply similar tension and produce similar tone to pedal operation, but not to vary the tension while playing.

Along with helping IKEA make non-taxable profit, IKEA's complicated corporate structure allows Kamprad to maintain tight control over the operations of Ingka Holding, and thus the operation of most IKEA stores.

However, the abstract formalization of the group axioms, detached as it is from the concrete nature of any particular group and its operation, allows entities with highly diverse mathematical origins in abstract algebra and beyond to be handled in a flexible way, while retaining their essential structural aspects.

Multitasking allows simultaneous operation of programs that may be able to share data with each other.

This allows more realistic operation in that the modeller can operate independently several locomotives on the same stretch of track.

:::: Using lead as the liquid metal provides excellent radiation shielding, and allows for operation at very high temperatures.

In normal operation, Denise allows between 1 and 5 bitplanes, giving 2 to 32 unique colours.

This allows blitter operation and control to proceed independently of, and concurrently with, the CPU.

In contrast, an untyped language, such as most assembly languages, allows any operation to be performed on any data, which are generally considered to be sequences of bits of various lengths.

This reform was the first of its kind on the African continent actually put into practice, and allows investors to concentrate on their area of expertise ( i. e. network operation or service provision ) across a maximum number of previously separate sectors ( i. e. telecommunications, broadcasting, Internet ).

The Low Altitude Parachute Extraction System ( LAPES ) is a somewhat risky maneuver which allows accurate delivery onto a field when landing is not possible, and the practice was stopped after a fatal crash was caused by one such failed operation.

The system does not require the use of a floor guide, which allows easy operation and an uninterrupted threshold.

In a communications network, a conference operation is an operation that allows a call to be established among three or more stations in such a manner that each of the stations is able to communicate directly with all the other stations.

The Remote Operations Service Element ( ROSE ) is the OSI service interface, specified in ITU-T Recommendation X. 219, ISO / IEC International Standard 9072-1, that ( a ) provides remote operation capabilities, ( b ) allows interaction between entities in a distributed application, and ( c ) upon receiving a remote operations service request, allows the receiving entity to attempt the operation and report the results of the attempt to the requesting entity.

) This feature allows high power operation for extended periods of time.

Telemetry is used in complex systems such as missiles, RPVs, spacecraft, oil rigs and chemical plants since it allows the automatic monitoring, alerting, and record-keeping necessary for efficient and safe operation.

This allows the operation of the microprocessor to be controlled externally, but is typically restricted to specific debugging capabilities in the processor.

Research grade agar is used extensively in plant biology as it is supplemented with a nutrient and vitamin mixture that allows for seedling germination in Petri dishes under sterile conditions ( given that the seeds are sterilized as well ).

In contrast, an underbridge allows passage under the line.

The same property allows volatile organobromine compounds, under the action of sunlight, to form free bromine atoms in the atmosphere which are highly effective in ozone depletion.

This approach also allows preserving the curve definition under all linear or perspective 2D and 3D transforms and projections.

While many of these systems involve cars permanently attached to the cable, the system developed by Poma-Otis, a company formed by the merger of the cable car interests of the Pomagalski ski lift company and the Otis Elevator Company, allows the car to be decoupled from the cable under computer control, and can thus be considered a modern interpretation of the cable car.

Blocking reduces known but irrelevant sources of variation between units and thus allows greater precision in the estimation of the source of variation under study.

For alcoholics, but not generally, it allows the use of mustum ( grape juice in which fermentation has begun but has been suspended without altering the nature of the juice ), and it holds that, " since Christ is sacramentally present under each of the species, communion under the species of bread alone makes it possible to receive all the fruit of Eucharistic grace.

In people acclimated to high altitudes, the concentration of 2, 3-Bisphosphoglycerate ( 2, 3-BPG ) in the blood is increased, which allows these individuals to deliver a larger amount of oxygen to tissues under conditions of lower oxygen tension.

This is true for fruits Hawaii exports to the U. S. mainland, and increasingly for imports from subtropical countries to the U. S. under bilateral agreements that allows those less-developed countries to earn income through food exports.

The Kitáb-i-Aqdas allows a man to marry two wives under the condition that they be treated equally.

This allows the young to be born under more favorable environmental conditions.

Multihull sailboats are typically much wider than the equivalent monohull, which allows them to carry no ballast, and the reduced weight also makes them faster than monohulls under equivalent conditions ( see Nathanael Herreshoff's " Amaryllis ", also 1988 America's Cup ).

The MusicBrainz client software library, libmusicbrainz, is licensed under the GNU Lesser General Public License, which allows use of the code by proprietary software products.

Again, so that the set of objects under consideration be closed under subtraction, a study of trivariate polynomials usually allows bivariate polynomials, and so on.

This use of protein as a fuel is particularly important under starvation conditions as it allows the body's own proteins to be used to support life, particularly those found in muscle.

* Chapter 59 allows the admission of boys to the monastery under certain conditions.

This allows the combined memory of all the nodes to be accessed under a single OS image using standard shared-memory synchronization methods.

SOAP has three major characteristics: Extensibility ( security and WS-routing are among the extensions under development ), Neutrality ( SOAP can be used over any transport protocol such as HTTP, SMTP, TCP, or JMS ) and Independence ( SOAP allows for any programming model ).

Burma still allows " local autonomy under central leadership.

The canal allows passage of ships up to draft or 240, 000 deadweight tons and up to a maximum height of above water level and a maximum beam of under certain conditions.

A tie-break, played under a separate set of rules, allows one player to win one more game and thus the set, to give a final set score of 7 – 6.

However, tort law also recognizes intentional torts, where a person has intentionally acted in a way that harms another, and " strict liability " or quasi-tort, which allows recovery under certain circumstances without the need to demonstrate negligence.

In Canada, eight percent of the taiga is protected from development, the provincial government allows forest management to occur on Crown land under rigorous constraints.