While a number of interesting celestial objects are readily identified by the naked eye, sometimes with the aid of a star chart, many others are so faint or inconspicuous that technical means are necessary to locate them.

One of the most interesting aspects of the axiom of choice is the large number of places in mathematics that it shows up.

There are a number of interesting monuments, most notably that of Prior Vivian which was formerly in the Priory Church ( Thomas Vivian's effigy lying on a chest: black Catacleuse stone and grey marble ).

There are a large number of interesting tasks, and while it is not known if a polynomial-time solution exists for any of them, it is known that if such a solution exists for any of them, one exists for all of them.

He located a number of interesting potential universals as well as many strong cross-linguistic tendencies.

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 ).

The lack of an obvious rule to determine whether a given Mersenne number is prime makes the search for Mersenne primes an interesting task, which becomes difficult very quickly, since Mersenne numbers grow very rapidly.

A mathematical constant is a special number, usually a real number, that is " significantly interesting in some way ".

A number of methods for generating random mutation in specific protein were later developed to screen for mutants with interesting or improved properties.

In fact, further study of the exact nature of the performance problems turned up a number of interesting facts.

The party system is an elaborate piece of machinery that pits at least two political candidates against each other for the vote of an electorate ; its advantage being equal representation interesting a large number of people in politics ; it provides effective criticism of the government in power and it affords an outlet for the ambition of a large number of wealthy and educated people guaranteeing a consistent policy in government.

Feynman considered a number of interesting ramifications of a general ability to manipulate matter on an atomic scale.

) and for a small number of slightly less bright but " interesting " stars ( Algol, Polaris, Mira, etc .).

In addition to the traditional names, a small number of stars that are " interesting " can have modern English names.

As a chess composer, he authored a number of chess problems, often with interesting themes.

Despite its apparent simplicity, Tic-tac-toe requires detailed analysis to determine even some elementary combinatory facts, the most interesting of which are the number of possible games and the number of possible positions.

In some cases, a large number of interactions can in fact work against the emergence of interesting behaviour, by creating a lot of " noise " to drown out any emerging " signal "; the emergent behaviour may need to be temporarily isolated from other interactions before it reaches enough critical mass to be self-supporting.

Forward differences applied to a sequence are sometimes called the binomial transform of the sequence, and have a number of interesting combinatorial properties.

Despite this they have some interesting properties and are related to a number of exceptional structures in mathematics, among them the exceptional Lie groups.

An interesting postscript: when the terrace block was extensively refurbished into luxury apartments in 1980s the number on Alexander Trocchi's house was removed, one assumes to avoid the house becoming some form of shrine.

* Every compact Hausdorff space of weight at most ( see Aleph number ) is the continuous image of ( this does not need the continuum hypothesis, but is less interesting in its absence ).

The mathematics related to this generalized problem becomes even more interesting when one considers the average number of moves in a shortest sequence of moves between two initial and final disk configurations that are chosen at random.

This situation has often been used strategically by software vendors to force customers to purchase upgrades since, over time, the number of data files usable by an old version diminishes at a rate proportional to the number of other customers that have upgraded ( assuming that all customers generate files at the same the average rate.

They found that the key is for software to monitor the number of scans that machines on a network sends out.

Many rendering algorithms have been researched, and software used for rendering may employ a number of different techniques to obtain a final image.

Cygwin consists of a library that implements the POSIX system call API in terms of Win32 system calls, a GNU development toolchain ( including GCC and GDB ) to allow software development, and a large number of application programs equivalent to those on Unix systems.

A number of accountability software products marketed as self-censorship or accountability software.

Many legal scholars believe that a number of legal cases, in particular Reno v. American Civil Liberties Union, established that the use of content-control software in libraries is a violation of the First Amendment.

Raymond has had a number of public disputes with other figures in the free software movement.

* GNU's Bulletin, volume 1, number 1-a February 1986 document defining free software.

Criticism includes several examples of cropping quotes from President Obama, Vice President Biden and Vice President Gore so they appear out of context, using image-manipulation software to edit the appearance of reporters from The New York Times and using footage from other events during a report on the November 5 Tea Party rally in Washington, D. C .; Media Matters said the intention of Fox News was to make it appear as if a larger number of protesters attended the event.

The software license may also impose various other restrictions, such as restricted use over a network, restricted use on a server, restricted use in a combination with some types of other software or with some hardware devices, prohibited distribution over the Internet other than linking to author's website, restricted distribution without author's consent, restricted number of copies, etc.

File systems and software often list file sizes or free space in some mixture of SI units and binary units ; they sometimes use SI prefixes to refer to binary interpretation – that is using a label of gigabyte or GB for a number computed in terms of gibibytes ( GiB ), continuing the confusion.

if the software is used to discover a prime number with at least 100 million decimal digits and wins the $ 150, 000 USD bounty offered by the Electronic Frontier Foundation.

The first field is either the Motorola 68000 exception number that occurred ( if a CPU error occurs ) or an internal error identifier ( such as an ' Out of Memory ' code ), in case of a system software error.

A class of improved random number generators is termed cryptographically secure pseudorandom number generators, but even they require external to the software random seeds to work as intended.

Note that the ICF and ZAAP are essentially identical to CP, but distinguished for software cost control: they are slightly restricted such they cannot be used to run arbitrary operating systems, and thus do not count in software licensing costs ( which are typically based on the number of CPs ).

Mattel said that the Keyboard Component was a real product still being test-marketed and even released a small number of Keyboard Components to a handful of retail stores, along with a handful of software titles in order to support this claim.

* The last ( optional ), dot-separated number is the perforation offset which, if preceded by a frame offset like in the above example, is a bias within the just-specified frame ; otherwise ( as interpreted by most DI software ) this considered to be an offset within the whole film foot.

This approach can provide a number of significant benefits: the users are insulated from the inefficiencies of their legacy systems, and the changes can be incorporated quickly and easily in the ABP software.

There are an enormous number of software packages and other tools for multivariate analysis, including:

A number of translation software programs are available free of charge, e. g. ForeignDesk, the multiplatform Okapi Framework, GTS Website Translator and OmegaT +