If Alice collaborates with Paul Erdős on one paper, and with Bob on another, but Bob never collaborates with Erdős himself, then Bob is given an Erdős number of 2, as he is two steps from Erdős.

If Alice measures − x, the system collapses into state IIa, and Bob will get + x.

Alice could send bits to Bob in the following way: If Alice wishes to transmit a " 0 ", she measures the spin of her electron in the z direction, collapsing Bob's state to either or.

If her opponent has a weak hand or is bluffing, Alice expects no further bets or calls from her opponent.

If her opponent has a superior hand, Alice expects the opponent to bet another $ 10 on the end.

* If Alice indicates her result is, Bob knows his qubit is already in the desired state and does nothing.

If Alice has a particle which is entangled with a particle owned by Bob, and Bob teleports it to Carol, then afterwards, Alice's particle is entangled with Carol's.

If each of two hypothetical experimenters, Alice and Bob, has one of the particles that form an entangled pair, and Alice measures the spin of her particle, the measurement will be entirely unpredictable, with a 50 % probability of the spin being up or down.

If Alice then " measures " her half-coin, by opening her envelope, for her the measurement will be unpredictable, with a 50 % probability of her half-coin being " heads " or " tails ", and Bob's " measurement " of his half-coin will always be opposite, hence perfectly anti-correlated.

If in the entangled state given above Alice makes a measurement in the eigenbasis of A, there are two possible outcomes, occurring with equal probability:

If the latter occurs, ( Alice measures 1 ) then Bob's measurement will return 0 with certainty.

:: If Alice wishes to transmit a ' 0 ', she measures the spin of her electron in the z direction, collapsing Bob's state to either | z +>< sub > B </ sub > or | z ->< sub > B </ sub >.

If Alice wishes to transmit a ' 1 ', she measures the spin of her electron in the x direction, collapsing Bob's state to either | x +>< sub > B </ sub > or | x ->< sub > B </ sub >.

If Alice transmitted a ' 0 ', all his measurements will produce the same result ; otherwise, his measurements will be split evenly between + 1 / 2 and-1 / 2.

If Alice later tripped over the same rock herself, she would be more likely to blame the placement of the rock ( situational ).

If Alice is preferred by more voters then she is the winner of that pairing.

If David calls the $ 5, Alice and Bob only have the option of calling or folding ; neither can raise.

If Alice just has two pair and Ted acts strongly, Alice may think Ted has three fours and fold if she doesn't improve.

If Alice had just bet her hand on the second round, it is likely that Bob would just have called and David may or may not have called, earning Alice $ 2 to $ 4 on the second round.

If the latter knows nothing about the absent sitter except his name ( given by the experimenter ), he cannot possibly give any clues, conscious or unconscious, far less ask leading questions.

If there had been, he would have found a loophole, because Arnold is one golfer who knows the code as thoroughly as the man who wrote the book.

If the other player also knows to offer sacrifices, the expert also has to manipulate the number of available sacrifices through earlier play.

If the experiment were done in English, since Searle knows English, he would be able to take questions and give answers without any algorithms for English questions, and he would be affectively aware of what was being said and the purposes it might serve: Searle passes the Turing test of answering the questions in both languages, but he's only conscious of what he's doing when he speaks English.

If one knows the actual URL of a website that features sexual explicit or 18 + content, they have the ability to access it without using a search engine.

If the computer controlling the display knows the exact position and color of all the subpixels on the screen, it can take advantage of this to improve the apparent resolution of the images on the screen in certain situations.

If it just includes any PUBLIC identifier, it may be processed as standalone, if the XML processor knows this PUBLIC identifier in its local catalog from where it can retrieve an associated DTD entity.

If the mark is encountered again and the painter is traveling in the same direction, then the painter knows that it is safe to paint the square with the mark and to continue in the same direction.

# If he is Omniscient and knows infinitely everything to which is knowable, would he not know me in every infinitely knowable way to where he himself would literally be I, me, or who I am in every infinitely knowable way?

If N is true, then nobody knows that N is true ; and if N is false, then it is not the case that nobody knows that N is true, which means that somebody knows that N is true.

If a player knows he has a freeroll, he can raise the pot with impunity, and often a less-skilled opponent with a good hand who does not realize that he is on the wrong end of the freeroll will continue to put in raises with no possible hope of gain.

If on the other hand, we define the notion of what is physical based some future idealized physics, we have not effectively defined anything at all because nobody knows what entities a future physical theory might postulate.

If God in some sense knows ahead of time what will happen, then events in the universe are effectively predetermined from God's point of view.

If the attacker finds a match, he knows that his guess is the actual password for the associated user.

If any one of them is missing, he makes inquiry at once, as he knows by the marks from what quarter the tablet has not returned, and whoever is responsible for the stoppage meets with the punishment he merits.

If one knows the corresponding wave function at the instant before the measurement, one will be able to compute the probability of the wavefunction collapsing into each of the possible eigenstates.

If the karkanxholl sleeps with his wife, and she is impregnated with a child, the offspring is called dhampir and has the unique ability to discern the karkanxholl ; from this derives the expression the dhampir knows the lugat.

If you need a Swedish actress who speaks English very well, who has not forgotten her German, who is not very understandable in French, and who in Italian knows only " ti amo ", I am ready to come and make a film with you.

If both are high or both are low the control system knows that something is wrong with the sensor or connecting wiring.

If it knows how to forward packet, it changes the destination physical address to that of the next hop router and transmits the packet.

If, on returning to his time, he finds that these works are now well-known, he knows he has changed the past.

If the circumstances are faced frankly it is not reasonable to expect this to be true.

If this be true, the possibility exists that an occlusive lesion of the bronchial arteries might cause widespread degeneration of supportive tissue similar to that seen in generalized emphysema.

If it could be shown that judgments of good and bad were not judgments at all, that they asserted nothing true or false, but merely expressed emotions like `` Hurrah '' or `` Fiddlesticks '', then these wayward judgments would cease from troubling and weary heads could be at rest.

If only the latter were true.

If it's true that contented cows give more milk, why shouldn't happy ball players produce more base hits??

If this is true, then the universe today looks just as it did millions of years ago and as it will look millions of years hence, even though the universe is expanding.

If she'd kept on as she'd been going, the story I'd told Gladdy would probably have been true by now, anyhow

If light moves instantaneously, the telescope does not move, and the true direction of the star relative to the observer can be found by following the line ES.

If is true, and then one may infer that is true.

If is true, then one may infer that is true, and also that is true.

If this is true it would support the notion that God is himself the Redeemer, by associating him with the living Redeemer in the parallel structure.

If this is a true observation, it may be expected that the audience which both demands and consumes this emphasis itself is more receptive to personalized, dramatic accounts of social phenomena.

If one statement is true in a category C then its dual will be true in the dual category C < sup > op </ sup >.

If a 7 comes instead of the point coming, the odds pay at true odds of 1-to-2 if 4 or 10 is the point, 2-to-3 if 5 or 9 is the point, 5-to-6 if 6 or 8 is the point.

If the report is true, this marked Kidd's first foray into piracy.

If not " true " crannogs, small occupied islets ( often at least partially artificial in nature ) may be referred to as island duns, although rather confusingly, 22 islet-based sites are classified as ' proper ' crannogs due to the different interpretations of the inspectors or excavators who drew up field reports Canmore search for crannog in the Western Isles Hebridean island dwellings or crannogs were commonly built on both natural and artificial islets, usually reached by means of a stone causeway.

If we are told that at least one of two statements is true ; and also told that it is not the former that is true ; we can infer that it has to be the latter that is true.

If either P or Q is true and P is false, then Q is true.