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Suppose and at
`` Suppose you take Mr. Hearst's morning American at $10,000 a year '', Brisbane proposed.
Suppose at this very moment her father was calling my house in an effort to cancel the plans??
Suppose, he says, that the tables were turned, and we were in the Soviets' position: `` There would be more than 2,000 modern Soviet fighters, all better than ours, stationed at 250 bases in Mexico and the Caribbean.
Suppose there is a chain at 1A, 2A, 3A, and 4A, along with another chain at 6A and 7A.
) Then X < sub > i </ sub > is the value ( or realization ) produced by a given run of the process at time i. Suppose that the process is further known to have defined values for mean μ < sub > i </ sub > and variance σ < sub > i </ sub >< sup > 2 </ sup > for all times i. Then the definition of the autocorrelation between times s and t is
Suppose that the car is ascending at 2. 5 km / h.
Suppose the vector field describes the velocity field of a fluid flow ( such as a large tank of liquid or gas ) and a small ball is located within the fluid or gas ( the centre of the ball being fixed at a certain point ).
Suppose that u and v are real-differentiable at a point in an open subset of, which can be considered as functions from to.
Suppose the parameter is the bull's-eye of a target, the estimator is the process of shooting arrows at the target, and the individual arrows are estimates ( samples ).
Suppose we look at S1 just a couple of years after it was built.
# Suppose there exists a function called Insert designed to insert a value into a sorted sequence at the beginning of an array.
* Suppose that there is a compression algorithm that transforms every file into a distinct file which is no longer than the original file, and that at least one file will be compressed into something that is shorter than itself.
Suppose we start with one electron at a certain place and time ( this place and time being given the arbitrary label A ) and a photon at another place and time ( given the label B ).
Suppose that you add blue, then the blue – red – black tree defined like red – black trees but with the additional constraint that no two successive nodes in the hierarchy will be blue and all blue nodes will be children of a red node, then it becomes equivalent to a B-tree whose clusters will have at most 7 values in the following colors: blue, red, blue, black, blue, red, blue ( For each cluster, there will be at most 1 black node, 2 red nodes, and 4 blue nodes ).
Thucydides wrote: Suppose the city of Sparta to be deserted, and nothing left but the temples and the ground-plan, distant ages would be very unwilling to believe that the power of the Lacedaemonians was at all equal to their fame.
Suppose a particle starts at point A, and there is a force F acting on it.
Suppose that a country ( or other entity ) contains Population < sub > t </ sub > persons at time t.
This example is elementary, but demonstrates the general procedure: Suppose a car is driving at 100 km / hour ; how long does it take it to go 200 km?
Suppose a partially ordered set P has the property that every chain ( i. e. totally ordered subset ) has an upper bound in P. Then the set P contains at least one maximal element.
Suppose a non-empty partially ordered set P has the property that every non-empty chain has an upper bound in P. Then the set P contains at least one maximal element.
Suppose the Redskins are playing the Giants and the total is set at 44. 5 points.
Suppose Lloyds TSB is trading on the market at 410p bid, and 411p offer.

Suppose and future
Suppose contains independent random components, each of which has three possible realizations ( for example, future realizations of each random parameters are classified as low, medium and high ), then the total number of scenarios is.

Suppose and time
* Suppose & B is equivalent to & D. If we acquire new information A and then acquire further new information B, and update all probabilities each time, the updated probabilities will be the same as if we had first acquired new information C and then acquired further new information D. In view of the fact that multiplication of probabilities can be taken to be ordinary multiplication of real numbers, this becomes a functional equation
Suppose that you are popping one hundred kernels of popcorn, and each kernel will pop at an independent, uniformly random time within the next hundred seconds.
Suppose that Bob bids again, this time at $ 2. 75.
Suppose Bob bids one more time, at $ 10. 00.
Suppose that in our " language ", the letter A is used 75 % of the time, and the letter B is used 25 % of the time.
Suppose a library has 10 identical study rooms, intended to be used by one student at a time.
Suppose you have a timer and a row of five adjacent boxes, with a cat in the first box and a mouse in the fifth box at time zero.
Suppose that they both agree on the sale price in one year's time of $ 104, 000 ( more below on why the sale price should be this amount ).
Suppose that our regulatory network has nodes, and let represent the concentrations of the corresponding substances at time.
Suppose a wavefunction is a solution of the wave equation, giving a description of the particle ( position, for time ).
Suppose you have a security C whose price at time 0 is C ( 0 ).
Suppose a particle moves at a uniform rate along a line from A to B ( Figure 2 ) in a given time ( say, one second ), while in the same time, the line AB moves uniformly from its position at AB to a position at DC, remaining parallel to its original orientation throughout.
Suppose that at time we have initial capital to invest in assets.
Suppose one wishes to model a time series using an ARCH process.
Suppose that a random variable, X, is defined to be the time elapsed in a shop from 9 am on a certain day until the arrival of the first customer: thus X is the time a server waits for the first customer.
Suppose a contract is executed in due form and in writing to deliver a lecture, mentioning no time.

Suppose and derivative
The covariant derivative can also be constructed from the Cartan connection η on P. In fact, constructing it in this way is slightly more general in that V need not be a fully fledged representation of G. Suppose instead that that V is a (, H )- module: a representation of the group H with a compatible representation of the Lie algebra.
Let M be a differentiable manifold and p a point of M. Suppose that f is a function defined in a neighborhood of p, and differentiable at p. If v is a tangent vector to M at p, then the directional derivative of f along v, denoted variously as ( see covariant derivative ), ( see Lie derivative ), or ( see Tangent space # Definition via derivations ), can be defined as follows.
Suppose, in addition, that the operations of integration and differentiation can be swapped for the second derivative of as well, i. e.,

0.176 seconds.