When each number of successes X is paired with its probability of occurrence Af, the set of pairs Af, is a probability function called a binomial distribution.

When the Banach algebra A is the algebra L ( X ) of bounded linear operators on a complex Banach space X ( e. g., the algebra of square matrices ), the notion of the spectrum in A coincides with the usual one in the operator theory.

:* When is entered, it is picked up by the scanning unit, the number 25 is encoded and sent to the X register.

When Rachel Summers leads a group of X-Men in a fight against Wolverine and the Avengers in Indonesia, Rachel finds Hope, but her mind is drawn to the psychic plane where she meets Professor X.

When Microsoft later set out to develop a gaming console, the X was used as the basis of the name Xbox to indicate that the console was based on DirectX technology.

When compared with previous generations, Generation X represents a more heterogeneous generation, exhibiting great variety of diversity in such aspects as race, class, religion, ethnicity, and sexual orientation.

When using codomains, the inverse of a function is required to have domain Y and codomain X.

When Havok was transported to the Mutant X universe, he found Robert Drake the victim of misfortune.

When her powers first manifest, Jean is unable to cope with her telepathy, forcing Professor X to suppress her access to it altogether.

When asked about Karl Marx, Malcolm X ( who had never read Marx ) stated that he agreed with Spengler ’ s view of social class and economic systems as secondary to racial identity.

When Innocent X died, Chigi, the candidate favoured by Spain, was elected pope after eighty days in the conclave, on 7 April 1655, taking the name of Alexander VII.

When asked about this by American Cinematographer, Spielberg said, " I think that World War II is the most significant event of the last 100 years ; the fate of the Baby Boomers and even Generation X was linked to the outcome.

When a device selection was sent out on a mainframe's channel, the selection was sent from X -> Y -> Z -> Y -> X.

When the league was first organized in 1999, it was originally supposed to stand for " Xtreme Football League "; however, there was already a league in formation at the same time with that name, and so promoters wanted to make sure that everyone knew that the " X " did not actually stand for anything ( though McMahon would comment that " if the NFL stood for the ' No Fun League ', the XFL will stand for the ' extra fun league '").

When an operating system with a native windowing system hosts X in addition, the X system can either use its own normal desktop in a separate host window or it can run rootless, meaning the X desktop is hidden and the host windowing environment manages the geometry and appearance of the hosted X windows within the host screen.

When Apple Inc. bought NeXT, and used NeXTSTEP to construct Mac OS X, they replaced Display PostScript with Quartz.

When the MPAA film rating system began on November 1, 1968 in the U. S., the X rating was given to a film by the MPAA if submitted to them or, due to its non-trademarked status, it could be self-applied to a film by a distributor who knew beforehand that their film contained content unsuitable for minors.

When the letter " A " is falling ( i. e. a subscript ), h < sub > A </ sub > assigns to an object X the morphisms from X into A.

When he became pope, Leo X is reported to have said to his brother Giuliano: " Since God has given us the Papacy, let us enjoy it.

When Heidegger and Sartre speak of a contrast between being and existence, they may be right, I don't know, but their language is too philosophical for me.

When they express themselves it is incandescent hatred that shines forth, the rage of repudiation, the ecstasy of negation.

When I try to work out my reasons for feeling that this passage is of critical significance, I come up with the following ideas, which I shall express very briefly here and revert to in a later essay.

When the proprietor dies, the establishment should become a corporation until it is either acquired by another proprietor or the government decides to drop it.

When the reactionary response is thus bolstered by an intellectual defense, the characteristics of that defense are explicable only in terms of the basic attitudes of unanalyzed reaction.

When I take over Taliesin, the first thing I'll do is fire you ''.

When someone in the audience rose and asked how does it feel to be a celebrity, Carl said, `` A celebrity is a fellow who eats celery with celerity ''.

When decision makers act within this frame they determine whether a claim put forward in the name of religion is to be accepted by the larger community as appropriate to religion.

When we consider the disorganized state of the world community, and the legacy of predispositions adversely directed against all who are identified as Jews, it is obvious that the struggle for the minds and muscles of men needs to be prosecuted with increasing vigor and skill.

When we turn to Aristotle's ideas on the moral measure of literature, it is at once apparent that he is at times equally concerned about the influence of the art.

When their faith in civil liberties is tested against strong pressures of social expediency in specific issues, e.g., suppression of `` dangerous ideas '', many waver and give in.

There is, of course, nothing new about dystopias, for they belong to a literary tradition which, including also the closely related satiric utopias, stretches from at least as far back as the eighteenth century and Swift's Gulliver's Travels to the twentieth century and Zamiatin's We, Capek's War With The Newts, Huxley's Brave New World, E. M. Forster's `` The Machine Stops '', C. S. Lewis's That Hideous Strength, and Orwell's Nineteen Eighty-Four, and which in science fiction is represented before the present deluge as early as Wells's trilogy, The Time Machine, `` A Story Of The Days To Come '', and When The Sleeper Wakes, and as recently as Jack Williamson's `` With Folded Hands '' ( 1947 ), the classic story of men replaced by their own robots.

When I first came across Samuel Johnson's pronouncement, `` the remedy for the ills of life is palliative rather than radical '', it seemed to me to sum up the profoundest of political and social truths.

When all else fails, it is argued that open sessions slow down governmental operations.

When a person has thoughtlessly or deliberately caused us pain or hardship it is not always easy to say, `` Just forget it ''.

When a person meets God's requirements for the experience of forgiveness he is forgiven.

When I hold my son he stiffens his whole body in my arms until he is as straight and stiff as a board.

When different colors are used, she is just as likely to color trees purple, hair green, etc..

When we become firm enough to stand for those ideals which we know to be right, when we become hard enough to refuse to aid nations which do not permit self-determination, when we become strong enough to resist any more drifts towards socialism in our own Nation, when we recognize that our enemy is Communism not war, and when we realize that concessions to Communists do not insure peace or freedom, then, and only then will we no longer be `` soft ''.

When one powerful nation strives to emulate the success of another, it is only natural.

When a man is laid to rest, he is entitled to stay put.

When I talked to Ching about it, he said, Everyone can learn, if he is not a Reactionary or lazy.