Though the TeX typesetting language has an equivalent, the CTAN ( and in fact the CPAN's name is based on the CTAN ), few languages have an exhaustive central repository for libraries.

In fact, at separations of 10 nm — about 100 times the typical size of an atom — the Casimir effect produces the equivalent of 1 atmosphere of pressure ( 101. 325 kPa ), the precise value depending on surface geometry and other factors.

In fact, the very existence of the Alphabet plays, or rather the absence of an equivalent edition for Sophocles and Aeschylus, could distort our notions of distinctive Euripidean qualitiesmost of his least ' tragic ' plays are in the Alphabet edition and possibly the other two tragedians would appear just as genre-bending as this " restless experimenter " if we possessed more than their ' select ' editions.

However, it is an empirical fact that microscopic particles of the same species have completely equivalent physical properties.

( Although this poetry is in fact specified using feet, each " foot " is more or less equivalent to an entire line.

This is equivalent, in fact, to being ' ind-finite '.

Again, a rigorous proof is needed for the fact that does not admit an equivalent regular expression of lower star height.

The utility of the notion of a topology is shown by the fact that there are several equivalent definitions of this structure.

One of the earliest was a competition to win ' a ton of money ' a pointed satire of tabloid newspapers promising huge cash prizes to boost circulation-the prize was in fact a metric tonne of one-and two-pence pieces, equivalent to a few hundred pounds sterling.

A further advantage of the Wankel engine for use in aircraft is the fact that a Wankel engine generally has a smaller frontal area than a piston engine of equivalent power, allowing a more aerodynamic nose to be designed around it.

The fact that stretching is equivalent to compression may seem somewhat counterintuitive, but it makes sense if rubber is viewed as a one-dimensional gas.

To avoid this ambiguity, the number could be represented in scientific notation: 8. 0 × 10 < sup > 3 </ sup > m indicates that the first zero is significant ( hence a margin of 50 m ) while 8. 000 × 10 < sup > 3 </ sup > m indicates that all three zeroes are significant, giving a margin of 0. 5 m. Similarly, it is possible to use a multiple of the basic measurement unit: 8. 0 km is equivalent to 8. 0 × 10 < sup > 3 </ sup > m. In fact, it indicates a margin of 0. 05 km ( 50 m ).

In fact, it can be shown that any abelian category is equivalent to a full subcategory of such a category of modules ( Mitchell's embedding theorem ).

The term itself inspires a certain skepticism, sounding equivalent to " half-baked logic " or " bogus logic ", but the " fuzzy " part does not refer to a lack of rigour in the method, rather to the fact that the logic involved can deal with concepts that cannot be expressed as " true " or " false " but rather as " partially true ".

* Suppose & B is equivalent to & D. If we acquire new information A and then acquire further new information B, and update all probabilities each time, the updated probabilities will be the same as if we had first acquired new information C and then acquired further new information D. In view of the fact that multiplication of probabilities can be taken to be ordinary multiplication of real numbers, this becomes a functional equation

In fact, 7 congeners have chlorine atoms in the relevant positions which were considered toxic by the World Health Organization toxic equivalent ( WHO-TEQ ) scheme.

Law degree-jurist ( often compared to an LL. M., but in fact equivalent to the degree of Specialist specific to the Soviet educational system ) is awarded in Russia and Ukraine after 5 years of study at a university.

In fact it is semantically equivalent to the following universal quantification:

The proofs of BCT1 and BCT2 for arbitrary complete metric spaces require some form of the axiom of choice ; and in fact BCT1 is equivalent over ZF to a weak form of the axiom of choice called the axiom of dependent choices.

Just as the Schrödinger equation describes how pure states evolve in time, the von Neumann equation ( also known as Liouville-von Neumann equation ) describes how a density operator evolves in time ( in fact, the two equations are equivalent, in the sense that either can be derived from the other.

Anointing a king was equivalent to crowning him ; in fact, in Israel a crown was not required (;, etc .).

In fact, any " inverse-square law " can be formulated in a way similar to Gauss's law: For example, Gauss's law itself is essentially equivalent to the inverse-square Coulomb's law, and Gauss's law for gravity is essentially equivalent to the inverse-square Newton's law of gravity.

The frequency spectrum of the modulated color signal overlaps that of the baseband signal, and separation relies on the fact that frequency components of the baseband signal tend to be near harmonics of the horizontal scanning rate, while the color carrier is selected to be an odd multiple of half the horizontal scanning rate ; this produces a modulated color signal that consists mainly of harmonic frequencies that fall between the harmonics in the baseband luma signal, rather than both being in separate continuous frequency bands alongside each other in the frequency domain.

The fact that the Deerstalker and the Jet were the only completely new designs this year doesn't mean that 1961 didn't see changes in models, actions and calibers.

He even buys a lot of the products he sees advertised -- despite the fact that the copy makes no special bid for his favor and sponsors rarely use any but white models in commercials.

Modeling objects in this way ignores the fact that matter is made of atoms, and so is not continuous ; however, on length scales much greater than that of inter-atomic distances, such models are highly accurate.

In fact, the neo-Piagetian theories of cognitive development have fully integrated the developmental conception of changes in thought with age with cognitive models of information processing.

In fact, learner-responsibility education models are driven by the interest of the learner in the topic to be studied.

The total fertility rate has been rated around 1. 4 in 2010 ( the highest value since 1990 ) and has recently even been estimated at 1. 6 after accounting for the fact that older women contribute more to the number of births than in previous statistic models, and total fertility rates increased in younger generations.

However, an attempt to convert this interesting geometrical construction into a bona-fide model of reality founders on a number of issues, including the fact that the fermions must be introduced in an artificial way ( in nonsupersymmetric models ).

These models had to agree with the fact that the electromagnetic waves are transverse but never longitudinal.

" Indeed virtually all of these models share the notion that converts are in fact innocent " victims " of mind-control techniques.

The utility of artificial neural network models lies in the fact that they can be used to infer a function from observations.

In fact, it is because of Roleplaying games becoming so popular, and people having too many models that were rarely used, that this was first published.

The fact that such models often give " worst-case " scenario evaluations appeals to system designers who prefer to include a safety factor in their designs.

Jan van Mill has described as a ' three headed monster ' — the three heads being a smiling and friendly head ( the behaviour under the assumption of the continuum hypothesis ), the ugly head of independence which constantly tries to confuse you ( determining what behaviour is possible in different models of set theory ), and the third head is the smallest of all ( what you can prove about it in ZFC ).< ref > It has relatively recently been observed that this characterisation isn't quite right-there is in fact a fourth head of, in which forcing axioms and Ramsey type axioms give properties of almost diametrically opposed to those under the continuum hypothesis, giving very few maps from indeed.

Also, the media are oftentimes blamed for the rise in the incidence of eating disorders due to the fact that media images of idealized slim physical shape of people such as models and celebrities motivate or even force people to attempt to achieve slimness themselves.

Chomsky is clear that this is not in fact the case: a generative grammar models only the knowledge that underlies the human ability to speak and understand.

Technically models TL-2 and TL-4 were almost identically designed, in fact TL-4 evolved from TL-2 where both had liquid-cooled OHC engines of max power output of.

The e in the name stands for enhanced, referring to the fact that several popular features were now built-in that were only available as upgrades and add-ons in earlier models.

Full-sized Pontiacs were also substantially restyled but retained the same basic underbody structure and chassis that debuted with the 1965 model-in fact the rooflines for the four-door pillared sedans and Safari wagons were the same as the 1965 models, while the two-door semi-fastback design gave way to a squared-off notchback style and four-door hardtop sedans were also more squared off than 1967-68 models.

These models are often referred to as Pontiacs, but in fact were never marketed as such, nor did they ever wear Pontiac badges ( although the Acadian and Beaumont emblem was in fact, similar to the Pontiac Arrowhead ).

More successful was Between Rounds ( 1899 ), for which boxer Billy Smith posed seated in his corner at Philadelphia's Arena ; in fact, all the principal figures were posed by models re-enacting what had been an actual fight.

A few early SCSI drives were in fact ST-506 drives with a SCSI to ST-506 controller on the bottom of the drive ; however, most SCSI and all ATA drives had built the controller into the drive, thereby eliminating the ST-506 interface in such models.

" They protested CCP control over intellectuals, the harshness of previous mass campaigns such as that against counterrevolutionaries, the slavish following of Soviet models, the low standards of living in China, the proscription of foreign literature, economic corruption among party cadres, and the fact that ' Party members many privileges which make them a race apart '".