For any topological space X the ( Alexandroff ) one-point compactification αX of X is obtained by adding one extra point ∞ ( often called a point at infinity ) and defining the open sets of the new space to be the open sets of X together with the sets of the form G < font face =" Arial, Helvetica "> U </ font >

For example, if we can enumerate all such definable numbers by the Gödel numbers of their defining formulas then we can use Cantor's diagonal argument to find a particular real that is not first-order definable in the same language.

For example, in defining learning goals or objectives, instructional designers often use a taxonomy of educational objectives created by Benjamin Bloom and colleagues.

For example, the cyclic group of addition modulo n can be obtained from the integers by identifying elements that differ by a multiple of n and defining a group structure that operates on each such class ( known as a congruence class ) as a single entity.

For instance, one could define a general quadratic function by defining

For example, the defining test for a bone marrow or hematopoietic stem cell ( HSC ) is the ability to transplant one cell and save an individual without HSCs.

" Kugel said " For many Dominicans in New York, these journeys home are the defining metaphor of their complex push-pull relationship with their homeland ; they embody, vividly and poignantly, the tug between their current lives and their former selves.

For the calculation of ephemerides, TDB was officially recommended to replace ET, but deficiencies were found in the definition of TDB ( though not affecting T < sub > eph </ sub >), and these led to the IAU defining and recommending further time scales, Barycentric Coordinate Time ( TCB ) for use in the solar system as a whole, and Geocentric Coordinate Time ( TCG ) for use in the vicinity of the Earth.

For that reason the phrase " restraint of trade ," which, as will presently appear, had a well understood meaning at common law, was made the means of defining the activities prohibited.

For instance, a temperature measurement for anti-lock brakes might have several separate membership functions defining particular temperature ranges needed to control the brakes properly.

For Rome to “ melt is for it to lose its defining shape, the boundary that contains its civic and military codes.

For day-to-day use, the International Temperature Scale of 1990 ( ITS ) is used, defining temperature in terms of characteristics of the several specific sensor types required to cover the full range.

For example, in C ++, this duplication of code can be circumvented by defining a template class:

The Strategic Bombing Survey of the atomic attacks, released in June 1946, used the term liberally, defining it as: " For convenience, the term ' ground zero ' will be used to designate the point on the ground directly beneath the point of detonation, or ' air zero.

For this reason, Adair is often seen as defining what has come to be known as the Lochner era, a period in American legal history in which the Supreme Court tended to invalidate legislation aimed at regulating business.

For example, if defining a system to portray grouped shapes on a screen, it would be useful to define resizing a group of shapes to have the same effect ( in some sense ) as resizing a single shape.

For example, a normal climb of 120 feet per nautical mile might be assumed during the development of a navigational procedure or while defining airspace limits in airport terminal areas.

For example, Gravelle and Rees: The defining characteristic of a public good is that consumption of it by one individual does not actually or potentially reduce the amount available to be consumed by another individual.

For example, this is the case in defining the inner product as

For pluralism to function and to be successful in defining the common good, all groups have to agree to a minimal consensus regarding shared values, which tie the different groups to society, and shared rules for conflict resolution between the groups:

For example, words to use against opponents include decay, failure ( fail ), collapse ( ing ), deeper, crisis, urgent ( cy ), destructive, destroy, sick, pathetic, lie, liberal, they / them, unionized bureaucracy, " compassion " is not enough, betray, consequences, limit ( s ), shallow, traitors, sensationalists ; words to use in defining a candidate's own campaign and vision included share, change, opportunity, legacy, challenge, control, truth, moral, courage, reform, prosperity, crusade, movement, children, family, debate, compete, active ( ly ), we / us / our, candid ( ly ), humane, pristine, provide.

For example, Schneider admitted that the ' suffering of society ' was a ' totally subjective ' and ' teleological ’ criterion for defining psychopathic personalities, but said that in ' scientific studies ' this could be avoided by operating by the broader statistical category of abnormal personalities, which he believed were always congenital and therefore largely hereditary.

For logographic writing systems, such as Chinese hanzi or Japanese kanji, the method of radical-and-stroke sorting is frequently used as a way of defining an ordering on the symbols.

* MOF Support for Semantic Structures RFP Request For Proposal on SMOF

For one thing, Aristotle mentions that plays may corrupt the audience.

For a serious young man who plays golf with a serious intensity, Palmer has such an inherent sense of humor that it relieves the strain and keeps his nerves from jangling like banjo strings.

For example, Oki, born as a child of an Ainu father and a Japanese mother, became a musician who plays the traditional Ainu instrument tonkori.

; Forgotten Futures VI: Victorian Villainy: A source collection for melodramatic adventures, including three plays, the novel A Bid For Fortune by Guy Boothby, some of E. W.

For the next year he was occupied writing reviews for plays, films and books for The Listener, Time and Tide and New Adelphi.

They have entered two plays into the Capital Fringe Festival in Washington, D. C .. Their 2007 show, For Boston, won " Best Comedy ", and their second show, The Sticking Place, won " Best Overall " in 2008.

However, as their company remit also includes encouraging new writing, they have also staged several new plays in the Grand-Guignol style, including " Eating For Two ", " Penalty " and " Ways and Means ".

For this reason, the term is often applied to films and plays of a stylised nature with heightened acting, melodrama and theatrical effects such as Sweeney Todd, Sleepy Hollow, Quills, and the Hammer Horror films that went before them.

Lee also plays bass on Canadian rock band I Mother Earth's track " Good For Sule ", which is featured on the group's album " Blue Green Orange ", released in 1999.

For example, in the 17th century cross dressing was common in plays, as, for example, evident in the content of many of William Shakespeare's plays ( and by the actors in the actual performances, since female roles in Elizabethan Theater were always performed by males, usually prepubescent boys ).

For example, in Shakespeare's day, plays were usually expected to follow the advice of Aristotle in his Poetics: that a drama should focus on action, not character.

For later plays such as Othello, Shakespeare probably used the 1599 English translation of Gasparo Contarini's The Commonwealth and Government of Venice for some details about Venice's laws and customs.

For mainstream critics, the most compelling evidence against Oxford ( besides the historical evidence for William Shakespeare ) is his death in 1604, since the generally-accepted chronology of Shakespeare's plays places the composition of approximately twelve of the plays after that date.

" For example, the play's Verona is situated on a tidal river and has a duke, and none of the characters have distinctly Italian names like in the later plays.

For instance, the clever slave has important roles in both L ’ Avare and L ’ Etourdi, two plays by Molière, and in both drives the plot and creates the ruse just like Palaestrio in Miles Gloriosus.

For example, the skin plays a key role in protecting the body against pathogens and excessive water loss.

For instance, if a player plays 1 reel on a 243 way game, they receive three symbols in the first reel which pay anywhere in the three positions, while all other reels pay in the centre only, with unused areas darkened.

For instance, whenever Star Movies ( a popular Asian movie channel ) plays the film, Connery's line in which he says to Cage " winners go home and fuck the prom queen " is replaced with " winners go home and date the prom queen ", while in another scene where Connery's character is described as a " son of a bitch " the line is replaced with " son of a Brit " in the censored cut.

For example, language plays a role in that all languages have words that are not easily translatable into another.

In the mid 1980s, Curry performed in The Rivals ( Bob Acres 1983 ) and in several plays with the Royal National Theatre of Great Britain, including The Threepenny Opera ( MacHeath 1986 ), Dalliance ( Theodore 1986 ), and Love For Love ( Tattle 1985 ).

For her first movie, Casta has made forays into the blockbuster Asterix & Obelix Take On Caesar directed by Claude Zidi, a live-action film of the comic book Asterix created by René Goscinny and Albert Uderzo in which Obelix, portrayed by Gérard Depardieu, plays a love interest for Falbala.

For the Greeks, the playwright was " poeisis " the act of making plays.

For example, Playwrights Horizons produced only six plays in the 2002-03 seasons, compared with thirty-one in 1973-74.