The-valued points are thought of, via Yoneda's lemma, as a way of identifying with the representable functor it sets up.

A random-storage scheme, based on the spelling of forms, provides an economical way to compile this text-form list.

The commentary ( or more correctly titled a Gloss ) survived in student reports from Alexander's teaching in the classroom and so it provides a major insight into the way theologians taught their discipline in the 1220s.

Bluetooth provides a secure way to connect and exchange information between devices such as faxes, mobile phones, telephones, laptops, personal computers, printers, Global Positioning System ( GPS ) receivers, digital cameras, and video game consoles.

Bluetooth technology provides a way to exchange information between wireless devices such as personal digital assistants ( PDAs ), mobile phones, laptops, computers, printers and digital cameras via a secure, low-cost, globally available short-range radio frequency band.

The standard simply provides a shorthand way of claiming that certain specifications are met, while encouraging manufacturers to adhere to a common method for such a specification.

The twelvefold way provides a unified framework for counting permutations, combinations and partitions.

For example, a calendar provides a way to determine which days are religious or civil holidays, which days mark the beginning and end of business accounting periods, and which days have legal significance, such as the day taxes are due or a contract expires.

This condition provides a link between an experimentalist's and a theoretician's viewpoint on constitutive equations ( linear and nonlinear elastic / inelastic or coupled fields ) as well as a way of spatial and statistical averaging of the microstructure.

Vermicomposting has gained popularity in both these industrial and domestic settings because, as compared to conventional composting, it provides a way to compost organic materials more quickly ( as defined by a higher rate of carbon-to-nitrogen ratio increase ) and to attain products that have lower salinity levels that are therefore more beneficial to plant mediums.

Regional rail usually provides rail services between towns and cities, rather than purely linking major population hubs in the way inter-city rail does.

In theoretical computer science, currying provides a way to study functions with multiple arguments in very simple theoretical models such as the lambda calculus in which functions only take a single argument.

A context-free grammar provides a simple and mathematically precise mechanism for describing the methods by which phrases in some natural language are built from smaller blocks, capturing the " block structure " of sentences in a natural way.

This essay is a polemic against corruption and Gildas provides little in the way of names and dates.

Although the census provides a useful way of obtaining statistical information about a population, such information can sometimes lead to abuses, political or otherwise, made possible by the linking of individuals ' identities to anonymous census data.

Two 2008 case studies show that the layout of a system provides a strong correlation to the ease of use for a system and that it proved more beneficial for the design to focus on presenting information in a way that reflected the most important goals and tasks of the user, rather than the structure of the organization.

The state space representation ( also known as the " time-domain approach ") provides a convenient and compact way to model and analyze systems with multiple inputs and outputs.

" Just as Jewish law, halakha provides the proper " way " ( or path ) to live, sin involves straying from that path.

A common way to carry out conceptual level design is to use the entity-relationship model ( ERM ) ( both the basic one, and with possible enhancement that it has gone over ), since it provides a straightforward, intuitive perception of an application's elements and semantics.

If the DBMS provides a way to interactively enter and update the database, as well as interrogate it, this capability allows for managing personal databases.

Herr Huld, the Lawyer – K .' s pompous and pretentious advocate who provides precious little in the way of action and far too much in the way of anecdote.

In mathematics, more specifically algebraic topology, the fundamental group ( defined by Henri Poincaré in his article Analysis Situs, published in 1895 ) is a group associated to any given pointed topological space that provides a way of determining when two paths, starting and ending at a fixed base point, can be continuously deformed into each other.

For example, an observer will see a ball fall the same way in a rocket ( left ) as it does on Earth ( right ), provided that the acceleration of the rocket provides the same relative force.

The constitution through its articles relating to the judicial system provides a way to question the laws of the government, if the common man finds the laws as unsuitable for any community in India.

The size of the grouping varies but computer hardware nearly always provides a way to represent a processor register, or memory address as an integer ; the set of integer sizes available varies between different types of computers.

Despite several years of front-page stories, the average citizen was unable to get a complete picture of McCarthy until he saw on the television screen what the reporters had been seeing all along but had no effective way of communicating.

And the solutions to the problems of the commuter lines have been equally varied, ranging all the way from Government ownership to complete discontinuance of this important service.

Proceeding in this way up the table we extract the complete optimal policy and, if it is desired, we can check on Af by evaluating Af at the last stage.

If laborers are merely commodities competing against each other in a market place like so many bags of wheat and corn ( unsupported, by the way, by any agricultural subsidy ), then they may be pardoned for reacting with complete antagonism to a system that imposes such status upon them.

Just as exciting but in a more technically proficient way is Laura Stuart, whose complete control of her every movement is lovely to watch.

`` You see, first of all and in a sense as the source of all other ills, the unshakeable American commitment to the principle of unconditional surrender: The tendency to view any war in which we might be involved not as a means of achieving limited objectives in the way of changes in a given status quo, but as a struggle to the death between total virtue and total evil, with the result that the war had absolutely to be fought to the complete destruction of the enemy's power, no matter what disadvantages or complications this might involve for the more distant future ''.

The complete prosthesis would consist of the stump attachment system — usually a " socket ", and all the attachment hardware parts all the way down to and including the foot.

The dope vector is a complete handle for the array, and is a convenient way to pass arrays as arguments to procedures.

When the deal is complete, all players pick up their cards, or ' hand ', and hold them in such a way that the faces can be seen by the holder of the cards but not the other players, or vice versa depending on the game.

The early Roman calendar, which had no way of designating the days of the winter months other than to lump them together as " winter ", is an example of an incomplete calendar, while the Gregorian calendar is an example of a complete calendar.

The word was coined in 1834 from the Greek κάθοδος ( kathodos ), ' descent ' or ' way down ', by William Whewell, who had been consulted by Michael Faraday over some new names needed to complete a paper on the recently discovered process of electrolysis.

Since then Mao's peasant revolutionary vision and so-called " continued revolution under the dictatorship of the proletariat " stipulated that class enemies continued to exist even though the socialist revolution seemed to be complete, giving way to the Cultural Revolution.

The space Q < sub > p </ sub > of p-adic numbers is complete for any prime number p. This space completes Q with the p-adic metric in the same way that R completes Q with the usual metric.

In the game's final cutscene, the camera pans over a verdant field complete with flowers and bunny rabbits, only to reveal a burning city and a bunny's head impaled on a stake: the demons have invaded Earth, paving the way for Doom II: Hell on Earth.

Most fugues open with a short main theme, the subject, which then sounds successively in each voice ( after the first voice is finished stating the subject, a second voice repeats the subject at a different pitch, and other voices repeat in the same way ); when each voice has entered, the exposition is complete.

Rather, they are to be understood as eight significant dimensions of one's behaviour — mental, spoken, and bodily — that operate in dependence on one another ; taken together, they define a complete path, or way of living.

In particular, in the quantum theory a smeared supertube is present that cuts the spacetime in such a way that, although in the full spacetime a closed timelike curve passed through every point, no complete curves exist on the interior region bounded by the tube.

Collectors who specifically try to assemble complete collections in this way are sometimes called " completitionsts.

Refusing further tribute to the Tatars, Ivan initiated a series of attacks that opened the way for the complete defeat of the declining Golden Horde, now divided into several Khanates and hordes.

This was his way of " a complete Communist society without wasting time on the intermediate steps " as the Khmer Rouge said to China in 1975.

If there is any way to avoid the emergence of the city-state, not to speak of self-serving bourgeois " cooperatives ," it is through a municipalization of political life that is so complete that politics embraces not only what we call the public sphere but material means of life as well.

Logic circuits include such devices as multiplexers, registers, arithmetic logic units ( ALUs ), and computer memory, all the way up through complete microprocessors, which may contain more than 100 million gates.

Oda Nobunaga was well on his way to the complete conquest and unification of Japan when Akechi Mitsuhide, one of his generals, forced Nobunaga into committing suicide in Honnō-ji in Kyoto.

A Hello World program, the customary way to show a small example of a complete program in a given language, might look like this in PostScript ( level 2 ):

Each class specializes in a certain aspect of the game, and an effective team will balance players out using all four classes, such as a soldier for blasting through enemy defences, a medic for supporting the team and keeping them alive ( Soldier making up for the lack of firepower with medics, medics making up for the lack of health ), a Lieutenant to resupply teammates with ammo ( especially soldiers ) and engineers to complete the objective, having their way cleared by the soldier which is then supported by the Lieutenant.