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Suppose that, at pairs, declarer is in a standard contract, one that the majority of the field will surely reach.
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Suppose and at
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.
) 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 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 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 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 and pairs
Suppose that there are two combined HSP regions with the pairs of scores ( 65, 40 ) and ( 52, 45 ), respectively.
Suppose one gets two pairs of identical polarized sunglasses ( unpolarized sunglasses won't work here ), and puts the left lens of one pair atop the right lens of the other, both aligned identically.
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 is
Suppose they both had ventured into realms which their colleagues thought infidel: is this the way gentlemen settle frank differences of opinion??
Suppose, says Dr. Lyttleton, the proton has a slightly greater charge than the electron ( so slight it is presently immeasurable ).
If two players tie for minority, they will share the minority shareholder bonus. Suppose Festival is the chain being acquired.
Alex is the majority shareholder, and Betty is the minority shareholder. Suppose now that Worldwide is the chain being acquired.
Suppose that F is a partial function that takes one argument, a finite binary string, and possibly returns a single binary string as output.
Suppose, says Searle, that this computer performs its task so convincingly that it comfortably passes the Turing test: it convinces a human Chinese speaker that the program is itself a live Chinese speaker.
; Dennett's reply from natural selection: Suppose that, by some mutation, a human being is born that does not have Searle's " causal properties " but nevertheless acts exactly like a human being.
Suppose a mass is attached to a spring which exerts an attractive force on the mass proportional to the extension / compression of the spring.
Suppose that in a mathematical language L, it is possible to enumerate all of the defined numbers in L. Let this enumeration be defined by the function G: W → R, where G ( n ) is the real number described by the nth description in the sequence.
Suppose and standard
An uncountable subset of the real numbers with the standard ordering ≤ cannot be a well-order: Suppose X is a subset of R well-ordered by ≤.
Suppose we randomly select a journal article from a source with an average of 1000 words per article, with a standard deviation of 200 words.
Suppose that in a particular geographic region, the mean and standard deviation of scores on a reading test are 100 points, and 12 points, respectively.
* Suppose that is the infinite cyclic group and the set S consists of the standard generator 1 and its inverse (− 1 in the additive notation ) then the Cayley graph is an infinite chain.
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.
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