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Suppose and Alice
Suppose that Alice and Bob had decided to measure spin along the x-axis.
Suppose Alice has a qubit in some arbitrary quantum state.
Suppose Alice has a qubit that she wants to teleport to Bob.
Suppose Alice wishes to communicate with Bob.
An example: Suppose that only Alice, Bob, and Carol have the keys to a bank safe and that, one day, the contents of the safe are missing ( without the lock being violated ).
Suppose Alice is playing limit Texas hold ' em and is dealt 9 ♣ 9 ♠ under the gun before the flop.
Suppose Alice and Bob want to resolve some dilemma via coin flipping.
Suppose Alice and Bob wish to communicate securely — they may choose to use cryptography.
Suppose Bob wishes to send a message m to Alice whose public key is:
Suppose Alice and Bob wish to communicate.
Suppose that the number of puzzles sent by Bob is m, and it takes both Bob and Alice n steps of computation to solve one puzzle.
Suppose Alice and Bob have to decide whether to go to the cinema to see a ' chick flick ', and that each has the liberty to decide whether to go themselves.
Suppose Bob and Alice start with a document containing the word Mary.
Suppose Bob wishes to send a message m to Alice:

Suppose and wants
Suppose one wants to come up with a definition of " right " in the moral sense.
Suppose Homer wants to catch a stationary bus.
Suppose one wants to solve a differential equation of the form
Suppose that Bob wants to buy a house a year from now.
Example: Suppose a supermarket wants to study buying habits of their customers, then using systematic sampling they can choose every 10th or 15th customer entering the supermarket and conduct the study on this sample.
Suppose D wants to eat.
Suppose one wants to turn the inductor off: when the current goes to zero, if the gate is not fed, the TRIAC attempts to turn off, but this causes a step in the voltage across it due to the afore-mentioned phase shift.
Suppose a client wants to outsource a database to a possibly untrusted database service provider.

Suppose and prove
Suppose that a mathematician is studying geometry and shapes, and she wishes to prove certain theorems about them.
Suppose that we have that Γ and H prove C, and we wish to show that Γ proves H → C.
We claim that the image of F does not contain t. We will prove this by contradiction: Suppose that there is an element of K whose image under F is t. This element is a rational function q ( t )/ r ( t ) whose p < nowiki >'</ nowiki > th power ( q ( t )/ r ( t ))< sup > p </ sup > equals t. This makes, which is impossible.

Suppose and her
Suppose her father had changed his mind and had refused to let her leave??
Suppose at this very moment her father was calling my house in an effort to cancel the plans??
Suppose you recognize one student — call her Anna — from a prior course in which Anna either excelled or did poorly.
Suppose, for example, that a man gives a woman a ring and tells her that it is for her next birthday and to hold on to it until then.
Suppose that Lois Lane fell out of a window and Superman caught her.
Suppose that Lois Lane believes that Clark Kent will investigate a news story with her.
Moore continued to say " I wanted to sock him in the head ," and her song " It Ain't Suppose To Be This Way " is believed to reference the event of Comb's " stealing " her song.

Suppose and identity
Proof: Suppose that and are two identity elements of.
Suppose also, M contains the identity operator on H.
Suppose U < sub > 1 </ sub >, ..., U < sub > n </ sub > are independent standard normally distributed random variables, and an identity of the form
Suppose that is a standard multivariate normal random vector ( here denotes the n-by-n identity matrix ), and if are all n-by-n symmetric matrices with.
Suppose the covariance matrix of is, where V is an n-by-n nonsingular matrix which was equal to in the more specific case handled in the previous section, ( where I is the identity matrix ,) but here is allowed to have nonzero off-diagonal elements representing the covariance of pairs of individual observations, as well as not necessarily having all the diagonal elements equal.

Suppose and Bob
Suppose then that Bob bids $ 2. 00 for the item.
Suppose that Bob bids again, this time at $ 2. 75.
Suppose Bob bids one more time, at $ 10. 00.
Suppose Bob likes only chocolate, and Carol only vanilla.

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