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fact and fraction
Some of the effects of hydrocodone come from the fact that a fraction of it is changed to hydromorphone in the liver, as is the case with all codeine-based analgesics ( codeine into morphine, dihydrocodeine into dihydromorphine, nicocodeine into nicomorphine etc .).
Outside the extreme northwest, the taiga is dominant ; in fact, taiga covers a significant fraction of the entirety of Siberia.
Many dinoflagellates are known to be photosynthetic, but a large fraction of these are in fact mixotrophic, combining photosynthesis with ingestion of prey.
This would then indicate that pre-set amount has fallen when in fact only a fraction of that amount has actually fallen.
The lowest average attendance at Hillsborough came in the first season after its opening ( 1899 – 00 ) when each game was attended by an average crowd of just 6, 800 fans, mainly due to the fact that the new stadium, then called Owlerton Stadium, was a fraction of the size it is today.
A significant fraction ( one third, in fact ) of the Quran deals with these beliefs, with many hadith elaborating on the themes and details.
In fact, the sum of the angles of a triangle on a sphere is 180 °( 1 + 4f ), where f is the fraction of the sphere's surface that is enclosed by the triangle.
The cause of this he did not long seek in vain ; thirteen times the mean motion of Venus is so nearly equal to eight times that of Earth that the difference amounts to only a small fraction of Earth's mean motion, and from the fact that the term depending on this difference, although very small in itself, receives in the integration of the differential equations a multiplier of about 2, 200, 000, Airy was led to infer the existence of a sensible inequality extending over 240 years ( Phil.
The fact that there are such large numbers as terms of the continued fraction expansion is equivalent to saying that the convergents obtained by stopping before these large numbers provide an exceptionally good approximation of the Champernowne constant.
The flux is divided by porosity to account for the fact that only a fraction of the total formation volume is available for flow.
Their county was just a small fraction of the former Aquitaine, the southeastern part of it in fact.
:" Even traditionally well educated and literate individuals are significantly restricted by the fact that they are able to use only a fraction of the biological and conceptual thinking tools which are available ( the mind map ).
The action of the fraction or breaking of bread, which gave its name to the Eucharist in apostolic times, will bring out more clearly the force and importance of the sign of unity of all in the one bread, and of the sign of charity by the fact that the one bread is distributed among the brothers and sisters.
In some cases the members ( workers ) of the cooperative in fact " own " the enterprise by buying a share that represents a fraction of the market value of the cooperative.
The embedded cis-acting elements devoted to coronavirus replication constitute a small fraction of the total genome, but this is, it is presumed, a reflection of the fact that coronaviruses have the largest genomes of all RNA viruses.
According to Roderick Harrison " wealth is a measure of cumulative advantage or disadvantage " and " the fact that black and Hispanic wealth is a fraction of white wealth also reflects a history of discrimination ".
The action of the fraction or breaking of bread, which gave its name to the Eucharist in apostolic times, will bring out more clearly the force and importance of the sign of unity of all in the one bread, and of the sign of charity by the fact that the one bread is distributed among the brothers and sisters.
The fact that these pieces represented only a fraction of his works during this period, make his dual commissions to sculpt the Graces understandable.

fact and fields
The degree to which these external factors should influence adjudication is the subject of active debate, but that judges do draw of learning from other fields and jurisdictions is a fact of modern legal life.
In fact, the evidence within each of these fields is itself a convergence providing evidence for the theory.
Exacerbating this is the fact that most of the trees are generally removed from agricultural fields, allowing winds to have long, open runs to travel over at higher speeds.
There is some question as to whether advanced mathematical skills or talent are in fact necessary for fields such as history, English, philosophy, or art.
In fact, it does not have an exact present form, as " Linnaean taxonomy " as such does not really exist: it is a collective ( abstracting ) term for what actually are several separate fields, which use similar approaches.
In fact, in quantum mechanics, particles themselves are fields, as described theoretically by the wave function.
In fact, for many fields K one does not know in general precisely which finite groups occur as Galois groups over K. This is the inverse Galois problem for a field K. ( For some fields K the inverse Galois problem is settled, such as the field of rational functions in one variable over the complex numbers.
However, it was soon realized that excitations of such imaginary mass fields do not in fact propagate faster than light, but instead represent an instability known as tachyon condensation.
In fact, the hardware and software of the company's real-time capability was used in other fields completely remote to music, such as the main Dartmouth College campus computing node computers for one of the nation's first campus-wide computing networks, and in medical data acquisition research projects.
In response, a coalition of 96 scientific and educational organizations wrote a letter to the conference committee, urging that the amendment be stricken from the final bill, arguing that evolution is, in the scientific fields, regarded as fact and that the amendment creates the mis-perception that evolution is not fully accepted in the scientific community, and thus weakens science curricula.
The position of scientists and science educators has been that although evolution has generated a great deal of political and philosophical debate it is, in the scientific fields, regarded as fact.
High-acceleration linear motors also require very strong magnetic fields ; in fact, the magnetic fields are often too strong to permit the use of superconductors.
Examples of isochronous cyclotrons abound ; in fact almost all modern cyclotrons use azimuthally-varying fields.
The obscure mechanism of cosmic ray production at galactic distances is partly a result of the fact that ( unlike other radiations ) magnetic fields in our galaxy and other galaxies bend cosmic ray direction severely, so that they arrive nearly randomly from all directions, hiding any clue of the direction of their initial sources.
Hymes clearly considers folklore and narrative a vital part of the fields of linguistics, anthropology and literature, and has bemoaned the fact that so few scholars in those fields are willing and able to adequately include folklore in its original language in their considerations ( Hymes 1981: 6-7 ).
This fact simplifies calculations significantly, since addition of potential ( scalar ) fields is much easier than addition of the electric ( vector ) fields.
In fact so much so that, ancient Greeks, Romans and Phoenecians placed as much importance on large public rose gardens as they did on wheat fields and fruit orchards.
In fact, it is practically impossible to construct a region of space that contains no matter or fields, since gravity cannot be blocked and all objects at a non-zero temperature radiate electromagnetically.
The application of this law implicitly relies on the superposition principle for magnetic fields, i. e. the fact that the magnetic field is a vector sum of the field created by each infinitesimal section of the wire individually.
External language fields, such as sociolinguistics, attempt to explain why this is in fact not the case.
: The island of apples which men call “ The Fortunate Isle ” ( Insula Pomorum quae Fortunata uocatur ) gets its name from the fact that it produces all things of itself ; the fields there have no need of the ploughs of the farmers and all cultivation is lacking except what nature provides.

fact and rings
In fact, the 19S and 11S particles bind to the same sites in the α rings of the 20S core particle although, they each induce gate opening by different mechanism.
In fact, rings were a sign of affection or friendship.
This fact can fail in non-unital rings.
This is typical in the theory of Noetherian rings ; often, to prove a result about Noetherian rings, one appeals to the fact that the rings in question are not " too large ".
In fact, it is possible to give a proof that is a Noetherian ring without appealing to its order structure and this proof applies more generally to principal ideal rings ( i. e., rings in which every ideal is generated by a single element ).
While the ideal structure of becomes considerably more complex as n increases, the rings in question still remain Noetherian, and any theorem about that can be proven using only the fact that is Noetherian, can be proven for.
For example, the fact that polynomial rings over a field are Noetherian allows one to prove that any infinite set of polynomial equations can be replaced with a finite set with the same solutions.
This way of defining the topology is in fact the standard one for repeated constructions of rings of formal power series, and gives the same topology as one would get by taking formal power series in all inderteminates at once.
Under the seemingly benevolent guidance and instruction of the unexpected Vanya visitor " Annatar ", the " Lord of Gifts ", of the fairest race of elves, who claimed he had been sent by the Valar to share his wisdom and skills in ring and jewel making for the benefit of all Middle-earth but who was in fact the Dark Lord Sauron in fair disguise, Celebrimbor led the smiths of Eregion into making sixteen Great rings for the peoples of Middle-earth — seven to the Dwarven lords and nine to Men.
Stamp seals with copper rings inserted in a perforated button were used to sealing cargo, with impressions of packing materials like mats, twisted cloth and cords, a fact verified only at Lothal.
Other interesting details include the fact that Commodore Harwood is shown wearing the shoulder tabs and sleeve rings of a Rear Admiral from the start, and not only after he had been promoted after the battle.
Reissues of color Looney Tunes originally released in September 1948 or later would have the 1946 ending version of " The Merry-Go-Round Broke Down " playing over the closing rings, and 1945 opening music playing over the opening ( again those of the given reissue season ), revealing the fact that the cartoon was originally a Looney Tunes short.
The second identity establishes the fact that this homomorphism also respects products in K ( X ), and so ch is a homomorphism of rings.
Functions on a topological space can be multiplied and added pointwise hence they form a commutative algebra ; in fact these operations are local in the topology of the base space, hence the functions form a sheaf of commutative rings over the base space.
The Storm acknowledged that some of the rings did, in fact, include cubic zirconia instead of diamonds, and that different players received greater amounts of diamonds in their rings based on their contributions that season.
* The previous ideal correspondence actually arises from the fact that the rings R and M < sub > n </ sub >( R ) are Morita equivalent.
Although the descending chain condition appears dual to the ascending chain condition, in rings it is in fact the stronger condition.
This property follows from the fact that ordered rings are abelian, linearly ordered groups with respect to addition.
Another explanation, tied to etymology, states that many very first firearms barrels were in fact realized, during the 12th and 13th centuries, using small storage barrels with their usual metal rings reinforced by leather, hence the barrel name.
To avoid the possible confusion with the regular rings and regular local rings of commutative algebra ( which are unrelated notions ), von Neumann regular rings are also called absolutely flat rings, because these rings are characterized by the fact that every left module is flat.

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