This remarkably general law allows mathematicians to determine the solvability of any quadratic equation in modular arithmetic.

These products can be remarkably expensive, some over $ 10, 000, but in general are much cheaper than comparable speaker systems.

Despite a number of more general studies, remarkably little is known about Musk Duck breeding.

In general, critics have accepted that the last three-fifths are mostly Shakespeare's, following Gary Taylor's claim that by the middle of the Jacobean decade, " Shakespeare's poetic style had become so remarkably idiosyncratic that it stands out — even in a corrupt text — from that of his contemporaries.

* Most general anaesthetics have remarkably weak affinity for their targets acting at much higher concentrations than most other drugs so that diverse side effects are inevitable.

In the 2001 general election the votes for the UUP, Democratic Unionist Party and Alliance Party of Northern Ireland all remained remarkably steady compared to significant shifts elsewhere in the province.

But in Australian English, the word " buggery " and its derivations have taken on a remarkably broad range of uses, many of which are generally understood as being slightly ( and usually deliberately ) exaggerated and comical in tone, and while probably considered somewhat " common ", most of these usages are now quite broadly accepted and are in general not considered overly offensive.

In effect, therefore, Mayow – who also gives a remarkably correct anatomical description of the mechanism of respiration – preceded Priestley and Lavoisier by a century in recognizing the existence of oxygen, under the guise of his " spiritus nitro-aereus ," as a separate entity distinct from the general mass of the air.

Dr J R Stockton, drawn by that to consider the behaviour of the distances in multi-body constant-pattern solutions independently of the general case, has shown that L4 and L5 are remarkably easy to verify, and that a single equation can be used to find L1, L2 and L3.

His biological interests, however, were remarkably diversified, and he is considered to be one of the last of a dying breed: a general naturalist.

Fox was impressed by their general demeanour, which he said was " courteous and loving ".

Sometimes two more categories are also used, for five categories total: teichōgo ( 丁重語 ) " courteous language " and bikago ( 美化語 ), " word beautification ", but more often these are included in the above three: teichōgo as a kind of kenjōgo ( humble ), bikago as a kind of teineigo ( polite )— these two other categories use the same forms as the general categories, but are used in different contexts, hence differentiated by some linguists.

In general, " his calm and courteous manner did much to maintain fruitful Allied relations ".

Greig recalled Black as having presented " no problems ", having " got good marks " and having behaved in a " quiet, attentive, courteous, charming, very interesting and independent " way and with a general manner that was " not self-conscious ".

Thus, the Big Bang theory cannot and does not provide any explanation for such an initial condition ; rather, it describes and explains the general evolution of the universe going forward from that point on.

Another explanation is an increased familiarity of the general population with tests and testing.

This explanation may imply that IQ tests do not necessarily measure a general intelligence factor, especially not Raven's as often argued, but instead may measure different types of intelligence that are developed by different experiences ( this argument is against the notion of an underlying general intelligence, or g factor ).

Shiozawa, based on much more general model, succeeded in giving a new explanation on why the traded volume increases for intermediate goods when the transport cost decreases.

A general description of historical Picts is given by one of the children when they first take that name, and a somewhat more detailed explanation is given later by a parent in a letter.

The properties of RNA make the idea of the RNA world hypothesis conceptually plausible, though its general acceptance as an explanation for the origin of life requires further evidence.

One potential explanation is his general courtesy to a member of his extended family ; another is that he was starting to consider how to end the war peacefully, and saw this as a way of building a relationship with Henry.

Modern uses of the word " theory " are derived from the original definition, but have taken on new shades of meaning, still based on the idea that a theory is a thoughtful and rational explanation of the general nature of things.

Their Deductive-Nomological ( D-N ) model of explanation says that a scientific explanation succeeds by subsuming a phenomenon under a general law.

These various means of explanation can be divided into four general types as follows:

:" It is precise, consistent, stable across time and human communities, symbolizable, calculable, generalizable, universally available, consistent within each of its subject matters, and effective as a general tool for description, explanation, and prediction in a vast number of everyday activities, from sports, to building, business, technology, and science.

One explanation is that he had alienated certain of his superiors, particularly fra Vincenzo Bandelli, or Bandello, a professor at the studium and future master general of the Dominicans, who resented the young friar ’ s opposition to modifying the Order ’ s rules against the ownership of property.

As a result, the possibility of a general explanation of ethnic violence has grown, and collaboration between comparativist and international relations subfields has resulted in increasingly useful theories of ethnic conflict.

Upon the generation of an explanation ( which he came to regard as instinctively guided ), the pragmatic maxim gives the necessary and sufficient logical rule to abduction in general.

An explanation for the general lack of Hadean rocks ( older than 3800 Ma ) is the efficiency of the processes that either cycled these rocks back into the mantle or effaced any isotopic record of their antiquity.

The objection to such an explanation is that the first changes would fall under the general head of fixation of pronunciation, and the second under the head of " Qere " and " Ketiv " ( i. e. " What is read " and " What is written ").

This suggests a rather general explanation for altruism.

Whatever the true explanation, these colours soon came to be regarded as the national colours of Germany during this brief period, and especially after their reintroduction during the Weimar period, they have become synonymous with liberalism in general .< ref >

He viewed motion, with Aristotle, as an activity, not carrying its own goal in itself ( ateles ), of that which only potentially exists, but he opposed Aristotle's view that motion required a special explanation, and he regarded it as something proper both to nature in general and the celestial system in particular:

The first book contains an explanation of the genera of Greek music, and also of their species ; this is followed by some general definitions of terms, particularly those of sound, interval, and system.

One potential explanation is his general courtesy to a member of his extended family ; another is that he was starting to consider how to end the war peacefully, and saw this as a way of building a relationship with Henry.

In general two explanation exist.

Undoubtedly even the old Southern stalwart Richmond has felt the new wind: William Styron mentions in his latest novel an avenue named for Bankhead McGruder, a Civil War general, now renamed, in typical California fashion, `` Buena Vista Terrace ''.

In short order, the general history became his most popular work and has remained, aside from his later Social history, the work most widely favored by the public.

The publication of Father Connolly's The Man Has Wings has made more of the group available in print so that a general picture of what it contained can now be had without difficulty.

One reason is, of course, that the new scepticism has been willing to maintain the general picture of the invasions as portrayed in the traditional sources.

If the new Soviet series has followed the general pattern of previous Russian tests, the shots were roughly half fission and half fusion, meaning a fission yield of 30 to 40 megatons thus far.

Meanwhile he has been thinking about the facts surrounding the problem, facts which he knows can never be complete, and the general background, much of which has already been lost to history.

This reduction has been accomplished by the general methods of linear algebra, i.e., by the primary decomposition theorem.

For any pencil in a plane containing a Af-fold secant of **zg has an image regulus which meets the plane of the pencil in Af lines, namely the images of the lines of the pencil which pass through the intersection of **zg and the multiple secant, plus an additional component to account for the intersections of the images of the general lines of the pencil.

We should expect that general phonologic theory should be as adequate for tone as for consonants and vowels, but it has not been.

Nineteen-sixty has been a baffling year for analysts of general business activity.

During much of the year the general level of business activity has moved along on a record-high plateau, but there have been persistent signs of slack in the economy.

Although the pause in the advance of general business activity this year has thus far been quite modest, it is hard to escape the conclusion that the softening process will continue into the first quarter of 1961 and possibly somewhat longer.

On the other hand, in a more favorable vein, general business activity should receive some stimulus from rising Federal spending, and the reduction in business inventories has probably run a good part of its course.

I shall first indicate a couple of weaknesses in Fromm's analysis, then argue that, granted these weaknesses, he still has much left that is valuable, and, finally, raise the general question of a philosophical versus a sociological approach to the question of alienation.

The idea has received much attention in philosophy, in literature, and in a few works of general social criticism, such as The Sane Society.

The broad conclusions of that pioneering work remain undisturbed, but subsequent research has expanded and somewhat altered their empirical support, has suggested important revisions in the general analytic frame of reference, and has sharpened the meaning of particular analytic concepts in this area.

No general installation should be made until a model installation has been proved and its maximum capability determined.

-- The theory of elasticity of Gaussian networks has been developed on a more general basis and the equations of state relating variables of pressure, volume, temperature, stress and strain have been precisely formulated.

-- Recent theoretical work to calculate the dimensions of polymeric chains by Volkenstein and Lifson has been extended to include more general types of chains.

In this respect, the general palatability and individual acceptance of most radiosterilized foods has, to date, been found to be low in comparison with fresh and commercially processed foods.

`` Use of such weapons has been outlawed by the general opinion of civilized mankind.

That tumultuous, painful and costly experience shows clearly that a law expressing a moral judgment cannot be enforced when it has little correspondence with the general view of society.