To satisfy the requirements of the British constitution, the treaty also had to be ratified by the House of Commons of Southern Ireland.

The project will pump water over a low pass to fill a reservoir, Lake Nighthorse, in Ridges Basin to satisfy Southern Ute tribal water rights claims associated with the Colorado Ute Settlement Act amendments of 2000.

This gesture failed to satisfy the opposition, and antigovernment demonstrations continued to spread.

This gesture failed to satisfy the opposition, and anti-government demonstrations continued to spread.

When the pairwise opposition variant is used, Minimax also does not satisfy the Condorcet criterion.

Prior to the publication of Keynes ' General Theory, mainstream economic thought was that the economy existed in a state of general equilibrium, meaning that the economy naturally consumes whatever it produces because the needs of consumers are always greater than the capacity of the economy to satisfy those needs.

Though a congregation of bishops assembled at Paris in December 1761 recommended no action, Louis XV of France ( 1715 – 74 ) promulgated a royal order permitting the Society to remain in the kingdom, with the proviso that certain essentially liberalising changes in their institution satisfy the Parlement with a French Jesuit vicar-general who should be independent of the general in Rome.

* How many different variable assignments will satisfy a given general boolean formula?

According to other social contract theorists, citizens can withdraw their obligation to obey or change the leadership, through elections or other means including, when necessary, violence, when the government fails to secure their natural rights ( Locke ) or satisfy the best interest of society ( called the " general will " in Rousseau, who is more concerned with forming new governments than in overthrowing old ones ).

His general detachment makes living in prison very tolerable, especially after he gets used to the idea of not being able to go places whenever he wants to and no longer being able to satisfy his sexual desires with Marie.

Beginning in 1961, Nasser sought to firmly establish Egypt as the leader of the Arab world and to promote a second revolution in Egypt with the purpose of merging Islamic and socialist thinking to satisfy the will of the general populace.

Lactantius charged that Maximian defiled senators ' daughters and traveled with young virgins to satisfy his unending lust, though Lactantius ' credibility is undermined by his general hostility towards pagans.

Note that this usage of the term linear is not the same as the above, because linear polynomials over the real numbers do not in general satisfy either additivity or homogeneity.

Analogous to numbers ( elements of a field ), matrices satisfy the following general properties.

These elements are " special " in that they fall on a subvariety of the general linear group – they satisfy a polynomial equation ( since the determinant is polynomial in the entries ).

Changes occurring in created things will exhibit regularities ( and will thus satisfy a Humean definition of causation ) because God in creating the world, observes what Malebranche calls " order ": he binds himself to act according to laws of nature chosen in accordance with his general will that the world be as good as possible, and thus ( for example ) that the laws be simple and few in number.

According to legend, during the siege of Bilbao, Carlist general Tomás de Zumalacárregui created the " tortilla de patatas " as an easy, fast and nutritious dish to satisfy the scarcities of the Carlist army.

The-product and cubic vertex satisfy a number of important properties ( allowing the to be general ghost number fields ):

The nativity accounts in the New Testament gospels of Matthew and Luke do not mention a date or time of year for the birth of Jesus and Karl Rahner states that the gospels do not in general provide enough details of dates to satisfy the demands of modern historians.

There are two types of codes: general building codes and design codes, engineer must satisfy all the codes requirements for a reliable structure.

A general Banach – Mazur game is defined as follows: we have a topological space, a fixed subset, and a family of subsets of that satisfy the following properties.

A set of at least points in-dimensional Euclidean space is said to be in general linear position ( or just general position ) if no hyperplane contains more than points — i. e. the points do not satisfy any more linear relations than they must.

If a set of points is not in general linear position, it is called a degenerate case or degenerate configuration — they satisfy a linear relation that need not always hold.

In general, the sum of solutions to which satisfy the boundary conditions also satisfies and.

In general, they have the ability to respire through their skin ; experiments with the yellow-bellied sea snake, Pelamis platurus, have shown that this species can satisfy about 20 % of its oxygen requirements in this manner, allowing for prolonged dives.

For a non-abelian Lie group G, its elements do not commute, i. e. they do in general not satisfy

Until then broadcasters had to satisfy only general “ public interest ” standards of the Communications Act.

But section 212 of the Act describes the foreign relationships that are eligible for recognition as those that are " registered " in another country, so unregistered or de facto partners arguably cannot satisfy the general conditions for recognition in the United Kingdom under section 214 of the Act.

By the well ordering principle, if there are positive integers that satisfy a given property, then there is a smallest positive integer that satisfies that property ; therefore, there is a smallest positive integer satisfying the property " not definable in under eleven words ".

The analysis of linear systems is possible because they satisfy a superposition principle: if u ( t ) and w ( t ) satisfy the differential equation for the vector field ( but not necessarily the initial condition ), then so will u ( t ) + w ( t ).

Electric fields satisfy the superposition principle.

The hyperreal numbers satisfy the transfer principle, a rigorous version of Leibniz's heuristic Law of Continuity.

* Economy of representation is the principle that grammatical structures must exist for a purpose, i. e., the structure of a sentence should be no larger or more complex than required to satisfy constraints on grammaticality.

In mathematics, a nonlinear system is one that does not satisfy the superposition principle, or one whose output is not directly proportional to its input ; a linear system fulfills these conditions.

However, the principle of locality is disputed: whether it strictly holds depends on the interpretation of quantum mechanics chosen, especially for experiments involving quantum entanglement that satisfy Bell's Theorem.

User definitions in the programming language that satisfy a definitional principle extend the theory in a way that maintains the theory's logical consistency.

Solutions of boundary value problems for the Laplace equation satisfy the Dirichlet principle.

There is thus some uncertainty as to exactly what is mandated by the principle, and it is possible that a plurality of sets of liberties satisfy its requirements.

The traffic flows that satisfy this principle are usually referred to as " user equilibrium " ( UE ) flows, since each user chooses the route that is the best.

It was the first example of quantum dynamics when Erwin Schrödinger derived it in 1926 while searching for solutions of the Schrödinger equation that satisfy the correspondence principle.

Erwin Schrödinger derived it as a minimum uncertainty Gaussian wavepacket in 1926 while searching for solutions of the Schrödinger equation that satisfy the correspondence principle.

It can be shown that the set of prices is coherent when they satisfy the probability axioms and related results such as the inclusion-exclusion principle ( but not necessarily countable additivity ).

He asks what society is for if not to satisfy the pleasure principle, but concedes that civilization has to make compromises of happiness in order to fulfill its primary goal of bringing people into peaceful relationship with each other, which it does by making them subject to a higher, communal authority.

< BLOCKQUOTE > A Muslim can go to a Muslim or to a non-Muslim to learn abstract sciences such as chemistry, physics, biology, astronomy, medicine, industry, agriculture, administration ( limited to its technical aspects ), technology, military arts and similar sciences and arts ; although the fundamental principle is that when the Muslim community comes into existence it should provide experts in all these fields in abundance, as all these sciences and arts are a sufficient obligation ( Fard al-Kifayah ) on Muslims ( that is to say, there ought to be a sufficient number of people who specialize in these various sciences and arts to satisfy the needs of the community ).

Therefore the Hartree product does not satisfy the Pauli principle ; that is to say: on the one hand, the interchange of fermions must give rise to negation of the wave function because fermions must have antisymmetric wavefunctions, yet on the other hand, they should still be indistinguishable, meaning the exchange of particles does not change the results of measurements performed on the system.

since a valid trajectory should always satisfy Hamilton's principle, regardless of the endpoints.

The first of these is often expressed as the principle of counting constraints: if we have a number N of parameters to adjust ( i. e. we have N degrees of freedom ), and a constraint means we have to ' consume ' a parameter to satisfy it, then the codimension of the solution set is at most the number of constraints.

Quintile measures of inequality satisfy the transfer principle only in its weak form because any changes in income distribution outside the relevant quintiles are not picked up by this measures ; only the distribution of income between the very rich and the very poor matters while inequality in the middle plays no role.

* Economy of representation is the principle that grammatical structures must exist for a purpose, i. e. the structure of a sentence should be no larger or more complex than required to satisfy constraints on grammaticality, which are equivalent to constraints on the mapping between the conceptual / intensional and sensori-motor interfaces in the optimal system that minimalism seeks to explore.

According to the laws governing fluid dynamics, a fluid's velocity must increase as it passes through a constriction to satisfy the principle of continuity, while its pressure must decrease to satisfy the principle of conservation of mechanical energy.