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.

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 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 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 a Turk says that he is in love ( Aşık ) with somebody, it is not a love that a person can feel for his or her parents ; it is just for one person, and it indicates a huge infatuation.

If the key signature indicates G-sharp, a local flat before a G makes it G-flat ( not G natural ), though often this type of rare accidental is expressed as a natural, followed by a flat () to make this clear.

* If baptism is a sign that a person is a member of God's covenant community, and if the children of believers are members of that community, it follows that the children of believers should receive the sign that they are members of God's covenant community by being baptized, as an infant is entitled to a passport that indicates the child as a member of a particular country.

If the alarm indicates a hawk diving toward the colony, all the prairie dogs in its flight path dive into their holes, while those outside the flight path stand and watch.

If this is the case, then the transformation of whole lineages should be rare, as the fossil record indicates.

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

( If the graph has no weights, 1 indicates an edge, 0 indicates no edge.

Sherlock Holmes's straightforward practical principles are generally of the form, " If p, then q ," where " p " stands for some observed evidence and " q " stands for what the evidence indicates.

If Fragment 58 is accepted as autobiographical, it indicates that she lived into old age.

If her connection to Rhodopis ( see below ) is accepted as historical, it indicates that she lived into the mid-6th century BC.

If the bridge is unbalanced, the direction of the current indicates whether is too high or too low.

where indicates the material conditional, according to which " If then " can be understood to mean " or ".

If any bamboo shoots come up outside of the bamboo area afterwards, their presence indicates the precise location of the missed rhizome.

If the exit block is unreachable from the entry block, it indicates an infinite loop.

If the light were totally reflected then the radiation pressure is doubled compared to total absorption, this is because the photons arrive with momentum E / c and depart with momentum-E / c ( the-ve sign indicates traveling in the opposite direction ), so the change of momentum is 2E / c.

If otherwise, it indicates that the voltage isn't increasing linearly, and therefore that the magnetic field produced by the deflection yoke is not linear.

If no scriptorium was available, then “ separate little rooms were assigned to book copying ; they were situated in such a way that each scribe had to himself a window open to the cloister walk .” The separation of these monks from the rest of the cloister indicates just how revered these monks were within their society.

If the number has a line above it, then it represents a unit fraction ( that is, would be ), whereas a line below the number indicates an integer.

If one hand drops involuntarily ( or after tapping on the palms ), the test indicates damage to the pyramidal tract.

" lub-dub-ta " or " slosh-ing-in " If new indicates heart failure or volume overload.

If the development is technology driven then R & D is directed toward developing that market research indicates will meet an unmet need.

If the cookie is absent or indicates that the consumer is totally out of sync, then the provider will, in the refresh stage, send an add for each entry it has.

If a swara is not natural ( shuddha ), a line below a letter indicates that it is flat ( komal ) and an acute accent above indicates that it is sharp ( tivra ).