As an illustration of the principle of simplicity the heliocentric discovery has a peculiar appeal because it allows simplicity to be arithmetized ; ;

He obtains Ahasuerus ' permission to execute this plan, against payment of ten thousand talents of silver ( which the King declines to accept and rather allows him to execute his plan on principle ), and he casts lots to choose the date on which to do this — the thirteenth of the month of Adar.

This principle allows sedimentary layers to be viewed as a form of vertical time line, a partial or complete record of the time elapsed from deposition of the lowest layer to deposition of the highest bed.

While the description of strong and weak interactions within the Standard Model is based on gauge symmetries governed by the simple symmetry groups SU ( 3 ) and SU ( 2 ) which allow only discrete charges, the remaining component, the weak hypercharge interaction is described by an abelian symmetry U ( 1 ) which in principle allows for arbitrary charge assignments.

The narrative structure allows for this diversity through simple stylistic devices such as the principle of ring composition, familiar since the time of Homer, in which the introduction and conclusion of a story or sub-plot is signalled by the repetition of some formulaic statement, facilitating the reader's comprehension of stories within stories in a kind of ' Chinese-box technique '— a structure that has no resemblance to the nine books artificially created by Alexandrian scholars.

While data reduction ( compression, be it lossy or lossless ) is a main goal of transform coding, it also allows other goals: one may represent data more accurately for the original amount of space – for example, in principle, if one starts with an analog or high-resolution digital master, an MP3 file of a given size should provide a better representation than a raw uncompressed audio in WAV or AIFF file of the same size.

Refraction occurs when light travels through an area of space that has a changing index of refraction ; this principle allows for lenses and the focusing of light.

Judges have accepted that the principle of party autonomy allows the parties to select the law most appropriate to their transaction.

Not only does his principle justify different treatment for different interests, but it allows different treatment for the same interest when diminishing marginal utility is a factor.

The legal principle clausula rebus sic stantibus, part of customary international law, also allows for treaty obligations to be unfulfilled due to a compelling change in circumstances.

This is because string theory allows for the consistent combination of quantum field theory and general relativity, agrees with general insights in quantum gravity ( such as the holographic principle and Black hole thermodynamics ), and because it has passed many non-trivial checks of its internal consistency.

This principle is sometimes used to strike down municipal by-laws that forbid " explicit " or " objectionable " contents from being sold in a certain city ; courts often find such expressions to be too vague, giving municipal inspectors discretion beyond what the law allows.

Their decentralized nature allows them, in principle, to disseminate needed information across an organization more rapidly and more cheaply than a centrally controlled knowledge repository.

This principle allows one to build a local solution to the equations of physics only if that local solution can be extended to a part of a ( not necessarily unique ) global solution, which is well defined throughout the nonsingular regions of the spacetime.

There is some controversy in physics as to whether such uncertainty is an irreducible property of nature or if there are " hidden variables " that would describe the state of a particle even more exactly than Heisenberg's uncertainty principle allows.

Manipulating this natural response to damage ( known as the principle of apical dominance ) by processes such as pruning ( as well as coppicing and pollarding ) allows the Arborist to determine the shape, size and productivity of many fruiting trees and bushes.

Supporters of this principle claim that this allows more universality and creates an incentive to find elegant, deceptively simple-looking problems which nevertheless require a certain level of ingenuity.

Futurist Paul Raskin has hypothesized that a new, more legitimate form of global politics could be based on “ constrained pluralism .” This principle guides the formation of institutions based on three characteristics: irreducibility, where some issues must be adjudicated at the global level ; subsidiarity, which limits the scope of global authority to truly global issues while smaller-scope issues are regulated at lower levels ; and heterogeneity, which allows for diverse forms of local and regional institutions as long as they meet global obligations.

The basic principle that allows the device to operate is the fact that a caesium atom can exist in any of nine energy levels, which can be informally thought of as the placement of electron atomic orbitals around the atomic nucleus.

Economic theory, under the principle of comparative advantage, shows that the gains from free trade outweigh any losses as free trade creates more jobs than it destroys because it allows countries to specialize in the production of goods and services in which they have a comparative advantage.

Since the F – D distribution was derived using the Pauli exclusion principle, which allows at most one electron to occupy each possible state, a result is that < math > 0 <

This principle allows semi-active dampers application in automotive and various industries.

In principle, this method allows for the separation of all cellular proteins on a single large gel.

This principle allows greater evaluation of actual profitability and performance ( shows how much was spent to earn revenue ).

The principle of optimality thus brings a vital organization into the search for the optimal policy of a multistage decision process.

This is the feed state of the subsequent Af stages which, according to the principle of optimality, must use an optimal Af-stage policy with respect to this state.

Since by the principle of optimality the remaining stages use an optimal Af-stage policy with respect to Af, we may enter section Af of the table at this state Af and read off the optimal policy for stage Af and the resulting state Af.

If we consider a process in which the outcome of one stage is known before passage to the next, then the principle of optimality shows that the policy in subsequent stages should be optimal with respect to the outcome of the first.

The acceptance of collective bargaining as a national policy in 1934, implicit in the writing of Section 7A of the National Industrial Recovery Act, has made it impolitic to oppose collective bargaining in principle.

In many cases, such as the cabinet-directed prohibition on foreign ownership for broadcasters and the legislated principle of the predominance of Canadian content, these acts and orders often leave the CRTC less room to change policy than critics sometimes suggest, and the result is that the commission is often the lightning rod for policy criticism that could arguably be better directed at the government itself.

This has led a number of environmentalists to support the use of the precautionary principle in policy making, which ultimately asserts that we don ’ t know how certain actions may affect the environment, and because there is reason to believe they may cause more harm than good we should refrain from such actions.

The Institute of Marxist-Leninist Studies, led by Hoxha's wife Nexhmije, quoted Vladimir Lenin: " The fundamental principle of the foreign policy of a socialist country and of a Communist party is proletarian internationalism ; not peaceful coexistence.

Another important principle of Ghana's foreign policy involves the closest possible cooperation with neighboring countries with which the people of Ghana share cultural history, ties of blood, and economics.

Malaysia's foreign policy is officially based on the principle of neutrality and maintaining peaceful relations with all countries, regardless of their ideology or political system, and to further develop relations with other countries in the region.

Related to the minimality principle, and equally important for microkernel design, is the separation of mechanism and policy, it is what enables the construction of arbitrary systems on top of a minimal kernel.

The Emperor was a convinced Miaphysite, following the teachings of Cyril of Alexandria and Severus of Antioch who taught " One Incarnate Nature of Christ " in an undivided union of the Divine and human natures, but his ecclesiastical policy was moderate ; he endeavoured to maintain the principle of the Henotikon of Zeno and the peace of the church.

Seychelles follows a policy of what it describes as " positive " nonalignment and strongly supports the principle of reduced superpower presence in the Indian Ocean.

In 1979, a move towards independence was agreed upon in principle for 1982, but a change in government caused a policy reversal, and they instead approached the Canadian government to discuss a possible union, but at the time the Canadian Government was embroiled in a debate over free trade with the U. S., and little attention was paid to the suggestion.

As required by the principle of checks and balances, the Department also consults with Congress about foreign policy initiatives and policies.

To reduce controversy, and as a matter of principle, the organization's policy applies only to prisoners who have not committed or advocated violence.

The precautionary principle or precautionary approach states that if an action or policy has a suspected risk of causing harm to the public or to the environment, in the absence of scientific consensus that the action or policy is harmful, the burden of proof that it is not harmful falls on those taking the action.

As applied to environmental policy, the precautionary principle stipulates that for practices such as the release of radiation or toxins or massive deforestation the burden of proof lies with the advocates.

The Colonial Secretary in Britain had however made it clear that a race based immigration policy would run " contrary to the general conceptions of equality which have ever been the guiding principle of British rule throughout the Empire ".

The consent takes the form of a compensation principle like Pareto efficiency for making a policy change and unanimity at least no opposition as a point of departure for social choice.

Although Steward and Barnett seemed to be suggesting that anthropology as such should restrict itself to purely academic affairs, people within and without the academy have continued to debate the ways non-anthropologists have used this principle in public policy concerning ethnic minorities or in international relations ( see this interview or this article on cultural relativism and human rights for examples of this debate ).