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Suppose Bob wishes to send a message m to Alice:
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Suppose and Bob
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Suppose Alice has a qubit that she wants to teleport to 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 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 that Bob wants to buy a house a year from now.
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 Alice wants to prove her identity to Bob.
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 likes only chocolate, and Carol only vanilla.
Suppose and wishes
Suppose a new guest arrives and wishes to be accommodated in the hotel.
Suppose that a mathematician is studying geometry and shapes, and she wishes to prove certain theorems about them.
Suppose a designer wishes to record the names and telephone numbers of customers.
Suppose node wishes to find the successor of key.
Suppose one wishes to model a time series using an ARCH process.
For example: Suppose a family wishes to purchase a property near a popular city center, having a garden and of a large area.
Suppose a user wishes to type " The ".
Suppose an engineer wishes to study the total power used by each of two different motors, A and B, running at each of two different speeds, 2000 or 3000 RPM.
Suppose and send
Suppose we take a block of data bits ( representing sound ) and send it three times.
Suppose we need to send the plaintext message, " Attack at once ".
Suppose and message
Suppose that the signal to be sent ( called the modulating or message signal ) is and the carrier onto which the signal is to be modulated is
Suppose we want to encode the message " AABA < EOM >", where < EOM > is the end-of-message symbol.
Suppose a router has Pruned, and some time later a receiver requests the multicast stream with an IGMP message.
Suppose that we use a pub / sub system to log problems in a factory: any application that senses an error publishes an appropriate message, and the messages are displayed on a console by the logger daemon, which subscribes to the " errors " topic.
Suppose and m
Suppose M is an m × n matrix whose entries come from the field K, which is either the field of real numbers or the field of complex numbers.
Suppose a " low density residential " zone requires that a house have a setback ( the distance from the edge of the property to the edge of the building ) of no less than 100 feet ( 30 m ).
Suppose a is a root of polynomial P, with multiplicity m > 1.
Suppose some particle has a mass m which is 3. 4 times the mass of electron.
Suppose there are m regression equations of the form
Suppose that Achilles is the fastest runner, and moves at a speed of 1 m / s.
Suppose the random column vectors X, Y live in R < sup > n </ sup > and R < sup > m </ sup > respectively, and the vector ( X, Y ) in R < sup > n + m </ sup > has a multivariate normal distribution whose variance is the symmetric positive-definite matrix
Suppose that we can find a n by m matrix S
Suppose that A and B are square matrices of size n and m respectively.
Suppose is a smooth and strictly concave objective function where x is a vector of n endogenous variables and q is a vector of m exogenous parameters.
Suppose V, W are finite-dimensional vector spaces over a field, with dimensions m and n, respectively.
Suppose a committee in the US Senate consists of m Democrats and n Republicans.
# Suppose that √ 2 is the ratio of two natural numbers, √ 2 = m / n
# Suppose that m / n has been reduced to its lowest common form by division
Suppose that there are m lines that each contain at least k points.
Suppose that 1 < t ≤ r and that m < sub > 1 </ sub >, m < sub > 2 </ sub >... m < sub > t </ sub > have already been chosen.
Suppose S is in a microstate indexed by m. From the above definitions, the total energy of the system S * is given by
Suppose that link has m components ( m = 1 for a knot ), the diagram has d crossing points, and resolving the crossings ( preserving the orientation of the knot ) yields f circles.
* Suppose that R is a local ring with maximal ideal m, and M, N are finitely generated R-modules.
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