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Page "Analysis of variance" ¶ 100
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no and necessary
Certainly it is not necessary to repeat that the United States has no intention of interfering in the internal affairs of any nation ; ;
But while war still serves as a catalyst for the values that Malraux wishes to express, these values are no longer linked with the triumph or defeat of any cause -- whether that of an individual assertion of the will-to-power, or a collective attempt to escape from the humiliation of oppression -- as their necessary condition.
Community shelters are, of course, necessary for those having no space for shelter.
The Glee Club is open to all students and faculty with no auditions necessary for membership.
There is no need here to spell out the conditions of creative teaching except to point out that, at the college level, the sense of community and of community responsibility is even more necessary than it is at other levels.
However, one can argue that no such control is necessary as long as one pretends that the anti-trust laws are effective and rational.
The Coopers saw Bobbie and Linda socially, but no more than was necessary.
After this is accomplished, no abstract of title is necessary.
It was necessary that an abbot should be at least 25 years of age, of legitimate birth, a monk of the house, unless it furnished no suitable candidate, when a liberty was allowed of electing from another convent, well instructed himself, and able to instruct others, one also who had learned how to command by having practised obedience.
" It is only a question of cards and time ", wrote Henry Babbage in 1888, "... and there is no reason why ( twenty thousand ) cards should not be used if necessary, in an Analytical Engine for the purposes of the mathematician ".
In part this position was also necessary, as otherwise there would have been no means to elicit or initiate reform of the church.
Therefore, it is necessary to have the existence of a conflict in public law without any constitutional aspects and no assignment to another jurisdiction.
Herodotus had no Athenian victories to record after the initial success, and the fact that Themistocles was able to carry his proposal to devote the surplus funds of the state to the building of so large a fleet seems to imply that the Athenians were themselves convinced that a supreme effort was necessary.
Surgical drainage or aspiration is often necessary to identify Mycobacterium tuberculosis, but once the diagnosis is made no further surgical intervention is necessary.
The government took no action, and handed the final parts of Bakassi over to Cameroon on 14 August 2008 as planned, but a Federal High Court had stated this should be delayed until all accommodations for resettled Bakassians had been settled ; the government did not seem to plan to heed this court order, and did set the necessary mechanisms into motion to override it.
When Canada achieved formal independence with the passage of the Canada Act 1982, no reception statutes were necessary for the decolonialisation process.
Between 1790 and 1840, Cambridge began to grow rapidly, with the construction of the West Boston Bridge in 1792, that connected Cambridge directly to Boston, making it no longer necessary to travel eight miles ( 13 km ) through the Boston Neck, Roxbury, and Brookline to cross the Charles River.
Production of energy is a necessary result since reactions are spontaneous if and only if Gibbs free energy is produced, and if there is no energy barrier, there is no need for a catalyst.
Such a machine violates no physical laws, and we already possess the basic technologies necessary for some of the more detailed proposed designs.
Foods preserved for winter consumption by smoking, curing, and pickling have remained significant in world cuisines for their altered gustatory properties even when these preserving techniques are no longer strictly necessary to the maintenance of an adequate food supply.
The council fathers, however, felt that no new creed was necessary, and that the doctrine had been laid out clearly in Leo's Tome.
The two oldest printed Chinese calendars are dated 877 and 882 ; they were found at the Buddhist pilgrimage site of Dunhuang ; Patricia Ebrey writes that it is no surprise that some of the earliest printed items were calendars, since the Chinese found it necessary to calculate and mark which days were auspicious and which were not.

no and assumptions
Communist target areas can be assumed, but there is no certainty that such assumptions coincide with Soviet intentions.
In 1995, Simon Keynes observed that " if Bede's concept of the Southumbrian overlord, and the chronicler's concept of the ' Bretwalda ', are to be regarded as artificial constructs, which have no validity outside the context of the literary works in which they appear, we are released from the assumptions about political development which they seem to involve ... we might ask whether kings in the eighth and ninth centuries were quite so obsessed with the establishment of a pan-Southumbrian state ".
With no assumptions have been made regarding the force G acting on the chain, the following analysis can be made.
That is, because the continuum assumptions of fluid dynamics no longer apply, mass transport is governed by molecular dynamics rather than fluid dynamics.
" Without these questions there is no clear fulcrum on which to balance law, politics, and the practice of arbitration — in fact, no common assumptions of all participants — so the ability to formulate the questions are prior to rights balancing.
Some workers in the field have also attempted to formulate hidden variable theories that exploit loopholes in actual experiments, such as the assumptions made in interpreting experimental data, although no theory has been proposed that can reproduce all the results of quantum mechanics.
For the case of power-of-two, Papadimitriou ( 1979 ) argued that the number of complex-number additions achieved by Cooley – Tukey algorithms is optimal under certain assumptions on the graph of the algorithm ( his assumptions imply, among other things, that no additive identities in the roots of unity are exploited ).
These assumptions have no obvious physical foundation but led to predictions which agreed with many experimental observations, including the Arago spot.
Some authors claim that Gelasius replaced Lupercalia with the " Feast of the Purification of the Blessed Virgin Mary ", but this is based in incorrect assumptions, and there is no written record of Gelasius intending any such thing.
These assumptions cause no loss of generality.
As long as no assumptions are made concerning the distances of those bodies from Earth or from each other, the sphere can be accepted as real and is in fact still in use.
Since it is inevitable that we will make some assumptions, why not assume those things that are most obvious: the matters of common sense that no one ever seriously doubts.
These tend to be more varied, as different assumptions can lead to vastly different types of warfare, but there has been no real concern with subdividing the genres more closely.
It may be shown by electromagnetic theory, by quantum theory, or by thermodynamics, making no assumptions as to the nature of the radiation, that the pressure against a surface exposed in a space traversed by radiation uniformly in all directions is equal to one third of the total radiant energy per unit volume within that space.
Wilson describes Fort as " a patron of cranks " and also argues that running through Fort's work is " the feeling that no matter how honest scientists think they are, they are still influenced by various unconscious assumptions that prevent them from attaining true objectivity.
However, the result only holds under the restrictive assumptions necessary for the proof ( markets exist for all possible goods so there are no externalities, all markets are in full equilibrium, markets are perfectly competitive, transaction costs are negligible, and market participants have perfect information ).
Sometimes they seek to challenge the assumptions upon which the student based the previous answer until it can no longer be defended.
The following three assumptions are very related: molecules are hard, collisions are elastic, and there are no inter-molecular forces.
The description also makes no assumptions about what betting structure is used.
They also make no assumptions about what poker betting structure is used.
It was the first loosely-coupled LAN-based clustering solution, making no assumptions about the type of computers that would be connected.
NuBus made no such assumptions, which meant that any NuBus card could be plugged into any NuBus machine, as long as there was an appropriate device driver.

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