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.

Police Commissioner Bob Hauk ( Lee Van Cleef ) offers a deal to special forces soldier turned criminal " Snake " Plissken ( Kurt Russell ): If he rescues the president and retrieves a secret cassette tape within 24 hours, Hauk will give him a full pardon.

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

If Alice knows the true distribution p ( x ), while Bob believes ( has a prior ) that the distribution is q ( x ), then Bob will be more surprised than Alice, on average, upon seeing the value of 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 Bob bets $ 10 ( half the pot ), when his opponent acts, the pot will be $ 30 and it will cost $ 10 to call.

If the opponent is on a flush draw ( 9 / 46, approximately 19. 565 percent or 4. 11-to-1 odds against with one card to come ), the pot is not offering adequate pot odds for the opponent to call unless the opponent thinks he can induce additional final round betting from Bob if the opponent completes his flush draw ( see implied pot odds ).

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

* If the message indicates, Bob would send his qubit through the unitary gate given by the Pauli matrix

* If Alice's message corresponds to, Bob applies the gate

If an eavesdropper intercepts the two bits, she may know exactly what Bob needs to do in order to recover the desired state.

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 the former occurs, then any subsequent measurement performed by Bob, in the same basis, will always return 1.

Westerberg realized his toughest audience was the band itself, later saying: " If it doesn't rock enough, Bob will scoff at it, and if it isn't catchy enough, Chris won't like it, and if it isn't modern enough, Tommy won't like it ".

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

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 Jones was to beat Ruiz in the fight, he would join Bob Fitzsimmons, Michael Spinks, and Michael Moorer as the only three fighters to win titles at light heavyweight and heavyweight as well as becoming the second fighter ( Fitzsimmons being the first ) to win titles at both middleweight and heavyweight.

Songs covered by Lost Dogs on an album or in concert include Bob Dylan's " Lord, Protect My Child ," Leonard Cohen's " If It Be Your Will ," The Beatles ' " I'm A Loser ," " The Chipmunk Song ( Christmas Don't Be Late )", and Stephen Foster's " Hard Times, Come Again No More.

He also released Acoustic Cafe, an album, that with the exception of " You Have My Heart ," is a collection of covers ranging from Bob Dylan (" If Not For You ," " Make You Feel My Love ") to Cyndi Lauper (" Time After Time ").

If Bob were to win the auction, he would have to pay the amount equal to the winning bid ($ 3. 25 ), even though his previous bid was much larger than that.

If there is a change in the potential energy of a system ; for example μ < sub > 1 </ sub >> μ < sub > 2 </ sub > ( μ is Chemical potential ) an energy flow will occur from S < sub > 1 </ sub > to S < sub > 2 </ sub >, because nature always prefers low energy and maximum entropy.

If the consumer strictly prefers x to y or is indifferent between them, then.

# Unanimity: If every individual prefers one choice to another, then the group ranking should do the same

* If every voter prefers alternative X over alternative Y, then the group prefers X over Y.

; Pareto efficiency: ( or unanimity ) If every individual prefers a certain option to another, then so must the resulting societal preference order.

If any State in the Union will declare that it prefers separation with the first alternative, to a continuance in union without it, I have no hesitation in saying, ' let us separate '.

" If a believer prefers to keep the Sabbath whereas we take the Lord's Day, or if he eats only vegetables whereas we eat every kind of food, we still must receive him.

If at the end of the count the two candidates left have an equal number of votes, he will get to vote in the election by giving a casting vote to the candidate he prefers.

If by luck ( or, if one prefers, the will of heaven ) he picks the door with the woman behind it, he is declared innocent and set free, but he is required to marry the woman on the spot, regardless of his wishes or his marital status.

If the user prefers to encrypt only part of their home directory — for example,

If one prefers to have the and work over the complex numbers, one could have instead defined the Weyl algebra above as generated by X < sub > i </ sub > and ( as is frequently done in quantum mechanics ).

If the next player passes, the partner is expected to select the minor suit that he / she prefers and bid it at the 3-level.

If, in addition, some player strictly prefers b over a, then we say that a is strictly dominated.

If type 1 plays U and type 2 plays D, player 2 will play D ' whatever action he observes, but then type 1 prefers D. The only equilibrium hence is with type 1 playing D, type 2 playing U and player 2 playing U ' if he observes D and randomising if he observes U. Through his actions, player 1 has signalled his type to player 2.

If even someone of his own allies is on his way on the battlefield, Cyclonus prefers better to start hand-to-hand fighting with him than to let him come near the target he has chosen.

If a bundle of goods A is preferred over another bundle B ( when both are affordable ), then the consumer reveals that he directly prefers A over B.

If a broadcaster prefers to limit access to their content based on regions, and would like good data on viewer behaviour, such as volume, trends and viewing time, then a traditional broadcasting solution offers more control.

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