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Suppose Bob wishes to send a message m to Alice whose public key is:
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Suppose and Bob
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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 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 Bob wishes to send a message m to Alice:
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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