Similarly, if Alice gets − z, Bob will get + z.

Therefore, if Alice measures + x, the system ' collapses ' into state Ia, and Bob will get − x.

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

Therefore, if Bob's measurement axis is aligned with Alice's, he will necessarily get the opposite of whatever Alice gets ; otherwise, he will get "+" and "−" with equal probability.

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.

Bob will know that Alice has transmitted a " 0 " if all his measurements will produce the same result ; otherwise, his measurements will have outcomes + 1 / 2 and − 1 / 2 with equal probability.

Since the pot lays 10: 1 ( 9. 1 %), Alice will on average lose money by calling if there is no future betting.

Secondly, two of those three ( Alice and Bob ) will be out of position to David on later betting rounds.

Alice will now get < code > E < sub > 2 </ sub >( M )</ code >, meaning when she sends this again to Bob, he will be able to decrypt the message using < code > E < sub > 2 </ sub >()</ code > and get "".

Now the box will be able to be opened with either key, and Alice and Bob can exchange messages inside the box in a secure fashion.

A successful Denial of Service attack against either Alice or Bob ( or both ) will block a required revocation.

In fact, any partition of authority between Alice and Bob will have this effect, regardless of how it comes about.

We will assume that Alice and Bob share the entangled state

To make the result of her measurement clear, we will rewrite the two qubits of Alice in the Bell basis via the following general identities ( these can be easily verified ):

After Bob receives the message from Alice, he will know which of the four states his particle is in.

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.

As she has only a thimble, the Dodo requests it from her and then awards it to Alice as her prize.

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.

Alice retrieves the deck, deals a burn card, then deals three cards directly to Bob, who puts them in his hand.

He was asked to resign after the release of Quake II, then moved to Electronic Arts where he gained industry notoriety with the development of his own game American McGee's Alice.

Bob can then unlock the box with his key and read the message from Alice.

Bob then again encrypts the message as < code > E < sub > 2 </ sub >( E < sub > 1 </ sub >( M ))</ code > and sends it to Alice.

Another example has Alice and Bob both choosing a key at random, and then contacting each other to compare the depth of each notch on their keys.

The protocol then involves Alice and Bob interacting locally with the qubit ( s ) in their possession and Alice sending two classical bits to Bob.

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

Bob then wishes to send message M to Alice.

He then married Alice Terry in 1921, with whom he remained for the rest of his life.

They then invite one another to a party that will be hosted by the newly crowned Alice ( of which Alice herself had no prior knowledge ).

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

Alice Bradley Sheldon had a multiplicity of reasons to write under the pen name of James Tiptree, Jr .: she was a woman writing in the heavily male-dominated genre of science fiction ; she was a bisexual woman who may have wanted to avoid the inherent biases of her readers ; and she was a career intelligence officer, first in the Army Air Corps and then in the early years of the CIA, for whom concealment was a way of life.

In 1901, Wallis's aunt Bessie Merryman was widowed, and the following year Alice and Wallis moved into her four-bedroom house at 9 West Chase Street, Baltimore, where they lived for at least a year until they settled in an apartment, and then a house, of their own.

She was sent first to Wallingford Castle and then was transferred to the more secure Tower of London ; in 1472 she was placed in the custody of her former lady-in-waiting Alice Chaucer, Duchess of Suffolk, where she remained until ransomed by Louis XI in 1475.

Of course they can always succeed by having Alice send her whole n-bit string to Bob, who then computes the function, but the idea here is to find clever ways of calculating f with fewer than n bits of communication.

* Lady Alice Boyle ( 1607 – 1667 ), married David Barry, 1st Earl of Barrymore, then after his death, married John Barry, of Liscarroll, co Cork, Ireland

Arnaz would make a guest appearance on the TV series Alice, starring Linda Lavin and produced by I Love Lucy co-creators Madelyn Pugh ( Madelyn Davis ) and Bob Carroll, Jr.

In the earlier postal analogy, Alice would have to have a way to make sure that the lock on the returned packet really belongs to Bob before she removes her lock and sends the packet back.

To make an analogous experiment, a coin might be sliced along the circumference into two half-coins, in such a way that each half-coin is either " heads " or " tails ", and each half-coin put in a separate envelope and distributed respectively to Alice and to Bob, randomly.

The Red Queen reveals to Alice that the entire countryside is laid out in squares like a gigantic chessboard, and offers to make Alice a queen if she can move all the way to the eighth rank / row in a chess match.

" The question is ," said Alice, " whether you can make words mean so many different things.

Alice came up with the name Crayola by combining the French word for chalk, craie, with the first part of oleaginous, the oily paraffin wax used to make the crayon.

To add to the stress, he is about to get married to the dour Alice Swallow ( Virginia Walker ) and must make a favorable impression upon Mrs. Random ( May Robson ), who is considering donating one million dollars to his museum.

In 1927 Mintz ordered Disney to stop producing Alice Comedies due to the costs of combining live-action and animation and since the cartoons were beginning to focus more on Julius rather than Alice, it would make more economic sense to create a fully animated series.

Charlie Gordon ( Cliff Robertson ), a mentally retarded man with a strong desire to make himself smarter, has been attending night school for two years where he has been taught by Alice Kinnian ( Claire Bloom ) to read and write.

Before receiving the role, Meadows had to overcome Gleason's reservations about her being too attractive to make a credible Alice.

Hank was wearing Alice Cooper like make up and lighting Roman candles in his ass ( referred to as " assrockets "), they were just warming up to their final and greatest album Apocalypse Dudes.

Their first child was Hannah ( who would never make it through infancy ) Alice Rose, Robert, Jr .; Morgan Lewis, Florence, Gertrude, and Leila.

* preying on a sick artist: " Even coming to town for medical treatment, such as dialysis, can make an artist easy prey for dealers wanting to make a quick profit who congregate in Alice Springs " ( op. cit.

But Alice eats mushrooms she had procured earlier, which make her grow bigger.

He quickly began to make his mark in the fashion industry, with Alice Pollock's exclusive boutique Quorum featuring his designs in 1966.

Dr. Yang gives Alice ancient herbs that make her act on her feelings toward Joe Ruffalo.

" Ruritania " is used as the placeholder name of a hypothetical country to make points in academic discussions, much as Alice and Bob are in logic and computing.

They were just good friends, Weiss gave Sydney a third edition Alice in Wonderland to try and make up for the loss of all her stuff in her apartment fire at the end of the second season.

On August 1, 2010, the band returned to the United Kingdom to make an appearance at Sonisphere Festival, appearing alongside such artists as Iggy Pop, Iron Maiden and Alice Cooper, playing in front of 60, 000 people on the main stage.

Norman returned to the US briefly to make her first-ever New York City recital where she appeared as part of the " Great Performers " series at Alice Tully Hall in Lincoln Center in 1973.