The greatest difference in the two sets of figures is due to differences in the two sets of lists used.

Its domain is the powerset of A ( with the empty set removed ), and so makes sense for any set A, whereas with the definition used elsewhere in this article, the domain of a choice function on a collection of sets is that collection, and so only makes sense for sets of sets.

") This method cannot, however, be used to show that every countable family of nonempty sets has a choice function, as is asserted by the axiom of countable choice.

The same notation is used with sets to denote cardinality ; the meaning depends on context.

Likewise, there is a formula for combining the covariances of two sets that can be used to parallelize the computation:

Various symbol sets are used to represent numbers in the Hindu-Arabic numeral system, all of which evolved from the Brahmi numerals.

Numbers within this block are used for various test utilities such as a ringback number ( to test the ringer when installing telephone sets ), milliwatt tone ( a number simply answers with a continuous test tone ) and a loop around ( which connects a call to another inbound call to the same or another test number ).

Plasma screens and LCD screens have been used in analog television sets.

A binary operation is a binary function where the sets X, Y, and Z are all equal ; binary operations are often used to define algebraic structures.

To make the show more cost-effective, it was also shot with virtually no outdoor scenes ( in contrast to the first series which was shot largely on location ) and several frequently used indoor sets, such as the Queen's throne room and Blackadder's front room.

Naive set theory is one of several theories of sets used in the discussion of the foundations of mathematics.

The term circumpolar constellation is used for any constellation that, from a particular latitude on Earth, never sets below the horizon.

In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality ( size ) of sets.

Keychord sets were used at Xerox PARC in the early 1980s, along with mice, GUIs, on the Xerox Star and Alto workstations.

If two sets are used, each player controls two differently colored sets of pieces at opposite corners of the star.

Several incomplete sets of this form of croquet are known to exist, and one complete set is still used for demonstration games in the West of Scotland.

Most radios and television sets prior to the 1970s used filament-heated-cathode electron tubes for signal selection and processing ; to this day, a hot cathode forms the source of the electron beam ( s ) in cathode ray tubes in many television sets and computer monitors.

The Dungeons & Dragons Miniatures Game ( 2003 ) is sold as sets of plastic, randomly assorted, pre-painted miniatures, and can be used as either part of a standard Dungeons & Dragons game or as a stand-alone collectible miniatures game.

Many different domino sets have been used for centuries in various parts of world to play a variety of domino games.

Brouwer the intuitionist in particular opposed the use of the Law of Excluded Middle over infinite sets ( as Hilbert had used it ).

`` Mr. Jack sets store by that ''.

In the electronics industry, this tendency is well illustrated by inventories of TV sets.

Squat-style lifters and leg-split lifters would both benefit enormously by practicing those variations providing that they remember to make alternate sets with the left and right leg to the front.

It was `` window '' -- the tinsel paper dropped by bombers to jam radar sets, to fill the scope with hundreds of blips that would seem to be approaching bombers.

The spaciousness of the Tudor cooking areas, for example, will provide needed space for the extra television sets required by modern butlers, cooks and maids.

But humans can do something equally useful, in the case of certain enumerably infinite sets: They can give explicit instructions for determining the nth member of the set, for arbitrary finite n. Such instructions are to be given quite explicitly, in a form in which they could be followed by a computing machine, or by a human who is capable of carrying out only very elementary operations on symbols.

For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.

* Miss Marple: The Complete Short Stories, Hardcover, 243 pages, Published 1985 by Dodd, Mead NY, ISBN 0-396-08747-7 includes 20 from 4 sets: The Tuesday Club Murders, The Regatta Mystery, Three Blind Mice and Other Stories, and Double Sin and Other Stories.

terms of is that the sets can be combined by

152-153 .</ ref > The moon and sun are likewise considered to be flat and floating on streams of air, and when the sun sets it does not pass under the earth but is merely obscured by higher parts of the earth as it circles around and becomes more distant ; the motion of the sun and the other celestial bodies around the earth is likened by Anaximenes to the way that a cap may be turned around the head .< ref > Fairbanks, Arthur.

ASCII art is a graphic design technique that uses computers for presentation and consists of pictures pieced together from the 95 printable ( from a total of 128 ) characters defined by the ASCII Standard from 1963 and ASCII compliant character sets with proprietary extended characters ( beyond the 128 characters of standard 7-bit ASCII

Initial approaches relied on the results of Herbrand and Skolem to convert a first-order formula into successively larger sets of propositional formulae by instantiating variables with terms from the Herbrand universe.

As in Classical architecture, in Gothic architecture, too, an aedicule or tabernacle frame is a structural framing device that gives importance to its contents, whether an inscribed plaque, a cult object, a bust or the like, by assuming the tectonic vocabulary of a little building that sets it apart from the wall against which it is placed.

It sets out Nimzowitsch's most important ideas, while his second most influential work, Chess Praxis, elaborates upon these ideas, adds a few new ones, and has immense value as a stimulating collection of Nimzowitsch's own games accompanied by his idiosyncratic, hyperbolic commentary which is often as entertaining as instructive.

The production was directed by Trevor Nunn, with choreography by Lynne Page, sets and costumes by David Farley and new orchestrations by Jason Carr.

These sets were expanded in 1963 to 7 bits of coding, called the American Standard Code for Information Interchange ( ASCII ) as the Federal Information Processing Standard which replaced the incompatible teleprinter codes in use by different branches of the U. S. government.

" It ends in death, and sets the stage for an album populated by rogues, con men, outcasts, gamblers, gunfighters and desperados, many of them with nothing to lose, some of them out of their minds, all of them quintessentially American.

Every Boolean algebra ( A, ∧, ∨) gives rise to a ring ( A, +, ·) by defining a + b := ( a ∧ ¬ b ) ∨ ( b ∧ ¬ a ) = ( a ∨ b ) ∧ ¬( a ∧ b ) ( this operation is called symmetric difference in the case of sets and XOR in the case of logic ) and a · b := a ∧ b. The zero element of this ring coincides with the 0 of the Boolean algebra ; the multiplicative identity element of the ring is the 1 of the Boolean algebra.

* The Lusternik – Schnirelmann theorem: If the sphere S < sup > n </ sup > is covered by n + 1 open sets, then one of these sets contains a pair ( x, − x ) of antipodal points.

DTDs persist in applications which need special publishing characters such as the XML and HTML Character Entity References, which were derived from the larger sets defined as part of the ISO SGML standard effort.

It renders complex pages, has partial HTML 4. 0 support ( including tables and frames and support for multiple character sets such as UTF-8 ), supports color and monochrome terminals and allows horizontal scrolling.

* < tt > background </ tt >, in HTML, a < tt >< nowiki >< body ></ nowiki ></ tt > element attribute that sets a background texture

Different Wiki programs may support use of different sets of HTML elements within wikitext.

It supported folders, filtering, viewing HTML e-mail without the need to have Internet Explorer installed, and international character sets.

* Version 4. 0 ( February 2008 ) has Address History option, Favorite Folders sets and URL manager for HTML images retrieval.

The Output Delivery System ( ODS ) is an extendable system that delivers output in a variety of formats, such as SAS data sets, listing files, RTF, PDF, XML, or HTML.

CAML allows for the generation of HTML based on specific sets of tags.

It supports asynchronous saving to the server and sets event handlers from code instead of from the HTML ( excepting the toolbar ), which makes the code a lot cleaner.