We now generalize these ideas for general binomial experiments.

Representable functors: We can generalize the previous example to any category C. To every pair X, Y of objects in C one can assign the set Hom ( X, Y ) of morphisms from X to Y.

We can easily generalize this proof to the case of quantum mechanical models.

We may generalize from this.

We may generalize and say that all people use metatheories as orienting strategies and that this is what direct our attention and also our browsing-also when we are not conscious about it.

We may generalize immediately to any number of relatively prime factors, producing

We performed several awareness camps and presenting the several papers in National Level Seminars to generalize these use-full solar energy systems, which is greatly echo-friendly, free-environment, fully safe to human beings.

We wish to generalize this to the case that φ is a smooth function between any smooth manifolds M and N.

We can also recognize the purpose that this thermometer serves inside a thermostat and even generalize to other kinds of thermostats that might use a different sort of thermometer.

We can generalize this to the complement of a complexity class, called the complement class, which is the set of complements of every problem in the class.

* We can then generalize to intervals of type since the number of poles of r is a finite number ( by taking the limit of the Cauchy index over for a and b going to infinity ).

We can generalize this construction further by replacing C

We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.

We may thus trace the notion of individual autonomy from its manifestation in religious practice and theological reflection through practical politics and political theory into literature and the arts.

We must avoid the notion, suggested to some people by examples such as those just mentioned, that ideas are `` units '' in some way comparable to coins or counters that can be passed intact from one group of people to another or even, for that matter, from one individual to another.

Nelson publicly encouraged this close bond with his officers and on 29 September 1798 described them as " We few, we happy few, we band of brothers ", echoing William Shakespeare's play Henry V. From this grew the notion of the Nelsonic Band of Brothers, a cadre of high-quality naval officers that served with Nelson for the remainder of his life.

However, according to Nelson, the concept of transclusion had already formed part of his 1965 description of hypertext ; he also interprets the notion of " trails " in Vannevar Bush's 1945 essay As We May Think as describing transclusion rather than hyperlinks.

Buckland concludes: " We speculate that Bush did not independently originate the notion of an electronic microfilm selector, although that was possible.

We may not be able to imagine a square circle, and of course, such a notion is self-contradictory.

We do, they say, have a notion of what minds can do, based on observation of our own minds.

He added: " We are in some danger of resting our position too exclusively upon the existence, the nature and the wishes of the inhabitants of the Falkland Islands ... if the population of the Falkland Islands did not desire to be British, the principle that the Queen wishes no unwilling subjects would long ago have prevailed ; but we should create great difficulties for ourselves in other contexts, as well as in this context, if we rested our action purely and exclusively on the notion of restoring tolerable, acceptable conditions and self-determination to our fellow Britons on the Falkland Islands ....

We might hope to still have some notion of its state of motion.

His proposed preamble was founded upon the notion of popular sovereignty and ended with the words: " We, the people of Australia, do hereby enact and give to ourselves this Constitution.

We may guess that Fowler had made his suggestion because the notion of temperature is in effect a presupposition of thermodynamics that earlier physicists had not felt needed explicit statement as a law of thermodynamics, and because the mood of his time, pursuing a " mechanical " axiomatic approach, wanted such an explicit statement.

We reject any notion that people can be liberated through some kind of supernatural force.

We make this notion of capacity more rigorous below.

Robert C. Benchley in Life magazine admitted, " We had a preconceived notion that No, No, Nanette!

However, the U. S. Court of Appeals for the Eleventh Circuit found that this was merely a < i > post hoc </ i > justification for the searches, because the city had not even mentioned the terror alert system in its arguments at the trial court level .< ref > Even if the city did in fact rely on the alert system at the time it acted, said the court, < p > We ... reject the notion that the Department of Homeland Security's threat advisory level somehow justifies these searches.

Moran has said he supports the redistribution of wealth, saying in November 2008 that " We have been guided by a Republican administration who believes in this simplistic notion that people who have wealth are entitled to keep it and they have an antipathy towards the means of redistributing wealth.

We know that debates about the freedom of the will continued to flare up ( for instance, in the famous exchanges between Erasmus and Martin Luther ), that Spanish thinkers were increasingly obsessed with the notion of nobility, that duelling was a practice that generated a large literature in the sixteenth century ( was it permissible or not?

In a letter published in The Hill, ACR co-founders Dan Peters and Heather Higgins responded to discussion of legislative regulatory proposals, saying that, " ACR believes that every dollar of tax increases on foundations is to the federal government rather than a dollar to charities, and the ACR is troubled by that notion .... We cannot adopt a one-size-fits-all solution that disadvantages smaller organizations.

We should note here that the notion of multiplicity is valid for any thermodynamical system.

Kirk Ewing, the Traffic's Managing Director, said " We genuinely believe that, if we get enough people participating, we'll be able to disprove, once and for all, any notion that someone else was involved in the assassination of President Kennedy.

We can model this notion using inner classes as follows:

We are then in a position to characterize the notion of a frame as being either the base of the concept profile, or ( more generally ) the domain that the profile is a part of.

We cannot rest on the notion of the ' innocent civilian.

We had assumed that at least this local legislative body had nothing to hide, and, therefore, had no objections to making the deliberations of its committees and the city commissions available to the public.

Mrs. Molvar, who kept reiterating her request that they `` please take a stand '', said, `` We must have faith in somebody -- on the local level, and it wouldn't be possible for everyone to rush to a school to get their children ''.

We are told that Paul had left Timothy in Ephesus and Titus in Crete to oversee the local church ( and ).

There is in fact no complex number z for which, and hence the reciprocal gamma function is an entire function, with zeros at z = 0, − 1, − 2 ,.... We see that the gamma function has a local minimum at where it attains the value.

We may, in due course, all need to be in control of two standard Englishes — the one which gives us our national and local identity, and the other which puts us in touch with the rest of the human race.

Robert C. Marwick is a local author whose publications include From My Rousay Schoolbag ; Rousay Roots ( 1995 ); In Dreams We Moor ( 2000 ) ISBN 1-899851-04-6.

We also have a special vertex or vertices representing the local variables and references held by the runtime system, and no edges ever go to these nodes, although edges can go from them to other nodes.

Using local downtown musicians the first music stream was " Big Wheel " by Karthik Swaminathan and the second being " When We Were Poor " by Karthik Swaminathan with Marc Ribot and Christine Bard.

The finale featured an audience card stunt, a video montage showing Jackson participating in various humanitarian efforts around the world, and a choir of 3, 500 local Los Angeles area children singing " We Are The World ", later joining Jackson as he sang his single " Heal the World ".

We believe that the local church is a community of believers organized in covenant relationship for worship, fellowship and service, practicing and proclaiming common convictions, while growing in grace and in the knowledge of our Lord and Savior Jesus Christ.

We believe in the priesthood of all believers and practice the autonomy of the local congregation, as we seek to work in association with others for more effective witness.

Georges Ammann, concert technician with Steinway's factory in Hamburg, said, " We were getting a lot of complaints from pianists all over the world – they said that getting their pianos tuned was a disastrous process every time and that the local technicians were hopeless.

Supporters of their local rivals West Bromwich Albion sing We will follow the Albion over land sea and water.

We are told that Paul had left Timothy in Ephesus and Titus in Crete to oversee the local church ( and ).

We discover this is a local actor, Bronski, who is playing Hitler in a new work satirizing the Nazis.

We do not know the reason why the country ‘ s third president — then midway through his second term — was so popular among North Stonington residents, although perhaps Jefferson ‘ s public criticism of the Congregational Church ’ s domination of politics and religion in Connecticut earned him the loyalty of the local Baptist community, which perhaps regarded him as a champion of their rights in a state that still enshrined preferential rights to the Congregational Church.

* Jan Himpe, musician and composer famous for the local evergreen " We zijn van't oude Roeselare "

We see Pierre Rougon ( the legitimate son ) in his attempts to disinherit his Macquart half-siblings, his marriage to Felicité Puech, the voraciously ambitious daughter of a local merchant, and their continued failure to establish the fortune, fame and renown they seek, despite their greed and relatively comfortable lifestyles.

We had neither the time nor resources to organize 20 million demonstrators and the thousands of schools and local communities that participated.

In June 2011, the Museum received another Ontario Historical Society Award for its exhibit, Bakaan nake ' ii ngii-izhi-gakinoo ' amaagoomin ( We Were Taught Differently ): The Indian Residential School Experience, based on stories of residential school life told by local residents.

We know very little else about Hydatius ' life, though we know he was kidnapped and imprisoned for a time in 460 by local enemies, which suggests he played an important role in the internal politics of Roman Gallaecia.

We believe that Christians should live faithfully by serving in and through the local church, praying diligently, witnessing earnestly, practicing tolerance, showing loving kindness, giving as God prospers, and conducting themselves in such a way as to bring glory to God.

We believe that a local church is a fellowship of Christians, a part of the Body of Christ, voluntarily

We believe that this should be left to the individual, and that neither the practice nor the non-practice of it should be any bar to fellowship, either in the church, the local association, the Presbytery, or the General Association.

We can begin by distinguishing between local and global supervenience: