In fact, although Gauss also conjectured that there are infinitely many primes such that the ring of integers of is a PID, to this day we do not even know whether there are infinitely many number fields ( of arbitrary degree ) such that is a PID!

he has become Friday on Dragnet, a mouthpiece of arbitrary police authority.

Nevertheless, because the Cost Section has felt impelled to make some kind of a distribution of total costs, it has apportioned this residue, which it sometimes calls `` burden '', among the units of carload traffic on a basis ( partly ton, partly ton-mile ) which is concededly quite arbitrary from the standpoint of cost determination.

But the output of the stenotype is a phonetic code that has to be transcribed later ( usually by the same operator who produced the original output ), rather than arbitrary text.

Despite caveats in the introduction to the DSM, it has long been argued that its system of classification makes unjustified categorical distinctions between disorders, and uses arbitrary cut-offs between normal and abnormal.

Because DOM supports navigation in any direction ( e. g., parent and previous sibling ) and allows for arbitrary modifications, an implementation must at least buffer the document that has been read so far ( or some parsed form of it ).

Diophantine geometry, which is the application of techniques from algebraic geometry in this field, has continued to grow as a result ; since treating arbitrary equations is a dead end, attention turns to equations that also have a geometric meaning.

Finally, it has been averred that ethical egoism is no better than bigotry in that, like racism, it divides people into two types — themselves and others — and discriminates against one type on the basis of some arbitrary disparity.

This theory has the advantage of avoiding the infinite regress without claiming special, possibly arbitrary status for some particular class of beliefs.

Each discipline usually has several sub-disciplines or branches, and distinguishing lines are often both arbitrary and ambiguous.

Once the Euclidean plane has been described in this language, it is actually a simple matter to extend its concept to arbitrary dimensions.

As this definition is not dependent on an arbitrary relative scale, it has also been termed absolute electronegativity, with the units of kilojoules per mole or electronvolts.

The division into conventional periods is, as with all such periodisations, relatively arbitrary, especially since at all periods, Ancient Greek has enjoyed high prestige, and the literate borrowed heavily from it.

It has historically been an important legal instrument safeguarding individual freedom against arbitrary state action.

The current version of BitchX, released in 2004, has security problems allowing remote IRC servers to execute arbitrary code on the client's machine ( CVE-2007-3360, CVE-2007-4584 ).

Frame S ' has an arbitrary but fixed rotation with respect to frame S. They are both inertial frames provided a body not subject to forces appears to move in a straight line.

The ICAO code is based on the region and country of the airport — for example, Charles de Gaulle Airport has an ICAO code of LFPG, where L indicates Southern Europe, F, France, PG, Paris de Gaulle, while Orly Airport has the code LFPO ( the 3rd letter sometimes refers to the particular flight information region ( FIR ) or the last two may be arbitrary ).

More generally, if C is an arbitrary abelian category that has enough injectives, then so does C < sup > I </ sup >, and the right derived functors of the inverse limit functor can thus be defined.

Mullis has drawn controversy for his association with prominent AIDS denialist Peter Duesberg, claiming that AIDS is an arbitrary diagnosis only used when HIV antibodies are found in a patient's blood.

However, the La Marle interpretation of Linear A has been rejected by John Younger of Kansas University showing that La Marle has invented erroneous and arbitrary new transcriptions based on resemblances with many different script systems at will ( as Phoenician, Hieroglyphic Egyptian, Hieroglyphic Hittite, Ethiopian, Cypro-Minoan, etc.

This Act was created to promote employment of older persons based on their ability rather than age ; to prohibit arbitrary age discrimination in employment ; to help employers and workers find ways of meeting problems arising from the impact of age on employment because in the face of rising productivity and affluence, older workers find themselves disadvantaged in their efforts to retain employment, and especially to regain employment when displaced from jobs ; the setting of arbitrary age limits regardless of potential for job performance has become a common practice, and certain otherwise desirable practices may work to the disadvantage of older persons ; the incidence of unemployment, especially long-term unemployment with resultant deterioration of skill, morale, and employer acceptability is, relative to the younger ages, high among older workers ; their numbers are great and growing ; and their employment problems grave ; and the existence in industries affecting commerce, of arbitrary discrimination in employment because of age, burdens commerce and the free flow of goods in commerce.

But I can see from this latest trick of memory how much more arbitrary and influential it is than the will.

Action does not mean capitulation, but sincere steps such as removing corrupt or arbitrary officials, cleaning up fraud, building more infrastructure, collecting taxes honestly, or addressing other legitimate grievances can do much to undermine the guerrillas ' appeal.

Computers can process data much more quickly than humans, but lack the ability to respond meaningfully to arbitrary stimuli.

As America's Founding Fathers shared a perfect horror at the concept of arbitrary courts of justice, such as those " of Philip in the Netherlands, in which life and property were daily confiscated without a jury, and which occasioned as much misery and a more rapid depopulation of the province ", they incorporated the right to trial by jury into the Bill of Rights, thereby restoring what soon-to-be United States Supreme Court Justice James Iredell described as that " noble palladium of liberty ", and protecting it from the reach of future legislators.

The anti-psychiatry movement says that the specific definitions of, or criteria for, hundreds of current psychiatric diagnoses or disorders are vague and arbitrary, leaving too much room for opinions and interpretations to meet basic scientific standards.

Similarly, Kroeber's and Kluckholn's verities -- Kroeber's were mostly about messy creatural matters like delirium and menstruation, Kluckholn's were mostly about messy social ones like lying and killing within the in-group, turn out not to be just the arbitrary personal obsessions they so much look like, but the expression of a much vaster concern, caused by thinking a lot about anthrōpos in general, that if something isn't anchored everywhere nothing can be anchored anywhere.

At the age of 14 Michael left for Saint Petersburg, receiving military training at the Artillery University, " a rigid, anti-Western military school, where he chafed at the arbitrary discipline and the narrow curriculum — much less encompassing than the homeschooling he had experienced before.

Another feature that sets renderers based on the RISpec apart from many other renderers is the ability to output arbitrary variables as an image ; surface normals, separate lighting passes and pretty much anything else can be output from the renderer in a single pass.

The Blahut – Arimoto algorithm, co-invented by Richard Blahut, is an elegant iterative technique for numerically obtaining rate – distortion functions of arbitrary finite input / output alphabet sources and much work has been done to extend it to more general problem instances.

It was much faster, more general, and could be extended to more than just two-way redundancy via an arbitrary fabric of point-to-point connections.

The convolution equation is useful because it is often much easier to find the response of a system to a delta function input-and then perform the convolution above to find the response to an arbitrary input-than it is to try to find the response to the arbitrary input directly.

How much longer appears to be arbitrary — for example, in The Lion, The Witch and The Wardrobe, Lucy's first visit to Narnia lasts hours and the four children's main adventure there lasts several years ; but each time, they are gone from Earth for at most a few seconds.

Its power lies in its ability to accurately measure the properties of a sample of any arbitrary shape, so long as the sample is approximately two-dimensional ( i. e. it is much thinner than it is wide ) and the electrodes are placed on its perimeter.

In the 1970s, the dot matrix printer ( which was much like a typewriter ) was used to reproduce varied fonts and arbitrary graphics.

Another alternative is to use arbitrary precision arithmetic, which in principle need do no rounding at all at the cost of much greater computational effort.

This is based on the principle that the human mind much more easily remembers spatial, personal, surprising, sexual or humorous or otherwise meaningful information than arbitrary sequences.

Programs started at much more arbitrary times as the banter between the live-action hosts became more of a central focus than mere filler material.

It is thus much less ambiguous to use the name of the technology / standard, possibly followed by its version number, than a subjective arbitrary generation number which is destined to be challenged endlessly.

In the 1970s the popularity of flowcharts as an own method decreased when interactive computer terminals and third-generation programming languages became the common tools of the trade, since algorithms can be expressed much more concisely as source code in such a language, and also because designing algorithms using flowcharts was more likely to result in spaghetti code because of the need for gotos to describe arbitrary jumps in control flow.

C. H. Dodd, in a frank letter to Robinson wrote: " I should agree with you that much of the late dating is quite arbitrary, even wanton, the offspring not of any argument that can be presented, but rather of the critic's prejudice that, if he appears to assent to the traditional position of the early church, he will be thought no better than a stick-in-the-mud.

More than 99 % of them fall into one or the other of the six great groups which during the classic work of the Harvard College Observatory ... received designations ... by the rather arbitrary letters B A F G K M. That there should be so few types is noteworthy, but much more remarkable is the fact that they form a continuous series ... Russell is of the opinion that the principal differences in the stellar spectra arise in the main from variations in single physical variable in the stellar atmosphere ...".

This is valuable because ( 1 ) most calculi are fairly wild in the sense that they are rather general and not much can be said about arbitrary processes ; and ( 2 ) computational applications rarely exhaust the whole of a calculus.