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, says Dr. Lyttleton, the proton has a slightly greater charge than the electron ( so slight it is presently immeasurable ).

He says, " Suppose we tell the Soviets that if they invade West Berlin we will launch an out nuclear attack.

" Suppose further ," Socrates says, " that the man was compelled to look at the fire: wouldn't he be struck blind and try to turn his gaze back toward the shadows, as toward what he can see clearly and hold to be real?

Suppose that R is an algebra over the field C of complex numbers and M = N is a finite-dimensional simple module over R. Then Schur's lemma says that the endomorphism ring of the module M is a division ring ; this division ring contains C in its center, is finite-dimensional over C and is therefore equal to C. Thus the endomorphism ring of the module M is " as small as possible ".

Jasper says to Puffer at the end of the book: " Suppose you had something in your mind ; something you were going to do ... Should you do it in your fancy, when you were lying here doing this ?...

; Justice Ginsburg: Suppose the executive says mild torture, we think, will help get this information.

Suppose then that a fielder, with the live ball, touches home base and says to the nearest umpire, " I think he never touched home.

Suppose a computer has three CD drives and three processes.

Suppose you spend your days and nights in an office, working at not entirely pleasant activities, such as entering data into a computer, and this, all for money.

Suppose an experimenter performs 10 measurements all at exactly the same value of independent variable vector X ( which contains the independent variables X < sub > 1 </ sub >, X < sub > 2 </ sub >, and X < sub > 3 </ sub >).

Suppose two parties A and B wish to communicate in the following manner: A performs measurement on an observable and communicates the measurement outcome to B classically.

Suppose the bank sells its IT installations for 40 million USD.

Suppose we have a material in its normal state, containing a constant internal magnetic field.

Suppose one measures the position: this act destroys any information about its momentum.

Suppose that a particle of charge experiences an acceleration which is collinear with its velocity ( this is the relevant case for linear accelerators ).

Suppose you are training your own classifier, and you wish to measure its performance using the well-accepted metrics of sensitivity and specificity.

Suppose X is a normed vector space over R or C. We denote by its continuous dual, i. e. the space of all continuous linear maps from X to the base field.

Suppose that the alternatives can be partitioned into subsets, where each subset has its own cost function, and each alternative belongs to only one subset.

Suppose that is an n-dimensional Riemannian manifold, equipped with its Levi-Civita connection.

Suppose the muon happens to have fallen into an orbit around a deuteron initially, which it has about a 50 % chance of doing if there are approximately equal numbers of deuterons and tritons present, forming an electrically neutral muonic deuterium atom ( d-μ )< sup > 0 </ sup > that acts somewhat like a " fat, heavy neutron " due both to its relatively small size ( again, about 207 times smaller than an electrically neutral electronic deuterium atom ( d-e )< sup > 0 </ sup >) and to the very effective " shielding " by the muon of the positive charge of the proton in the deuteron.

Suppose we imagine the two parts of the electron wave as tiny clocks, each with a single hand that sweeps around in a circle, keeping track of its own phase.

* 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 that is a Morse function on an-dimensional manifold, and suppose that is a critical value with exactly one critical point in its preimage.

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 F is a ( 1-dimensional ) formal group law over R. Its formal group ring ( also called its hyperalgebra or its covariant bialgebra ) is a cocommutative Hopf algebra H constructed as follows.

Suppose that the Fermat equation with exponent &# 8467 ; ≥ 3 had a solution in non-zero integers a, b, c. Let us form the corresponding Frey curve E. It is an elliptic curve and one can show that its discriminant Δ is equal to 16 ( abc )< sup > 2 &# 8467 ;</ sup > and its conductor N is the radical of abc, i. e. the product of all distinct primes dividing abc.

Suppose that the curve γ is parameterized with respect to its arclength s. Then the arclength along the evolute E from s < sub > 1 </ sub > to s < sub > 2 </ sub > is given by

Suppose we have a function f of a complex variable z which is not analytic, but happens to be differentiable with respect to its real and imaginary components separately.

Suppose it decides to undertake a revaluation of its plant & machinery.

# Suppose that m / n has been reduced to its lowest common form by division

Gordon Dam in South West Tasmania World Heritage Area. Preservation of the world's Natural heritage :" Suppose that in the next few decades, because of the continuing rapid depletion of the world ’ s forests and its effect on the rest of the biosphere, the survival of all living creatures becomes endangered.

Suppose random variable X can take value x < sub > 1 </ sub > with probability p < sub > 1 </ sub >, value x < sub > 2 </ sub > with probability p < sub > 2 </ sub >, and so on, up to value x < sub > k </ sub > with probability p < sub > k </ sub >.

Suppose block M is a dominator with several incoming edges, some of them being back edges ( so M is a loop header ).

Suppose the thimble were screwed out so that graduation 2, and three additional sub-divisions, were visible ( as shown in the image ), and that graduation 1 on the thimble coincided with the axial line on the frame.

Suppose that the thimble were screwed out so that graduation 5, and one additional 0. 5 subdivision were visible ( as shown in the image ), and that graduation 28 on the thimble coincided with the axial line on the sleeve.

Suppose G is an ordered abelian group, meaning an abelian group with a total ordering "<" respecting the group's addition, so that a < b if and only if a + c < b + c for all c. Let I be a well-ordered subset of G, meaning I contains no infinite descending chain.

Suppose the rod rotates at a constant rate so that the mass moves at speed v. Then the kinetic energy T of the mass is:

) Suppose everything in the universe undergoes an improper rotation described by the rotation matrix R, so that a position vector x is transformed to x ′

Suppose now that an attenuating feedback loop applies a fraction β. V < sub > out </ sub > of the output to one of the subtractor inputs so that it subtracts from the circuit input voltage V < sub > in </ sub > applied to the other subtractor input.

Suppose their tendency is to regress 10 % of the way toward the mean of 80, so a student who scored 100 the first day is expected to score 98 the second day, and a student who scored 70 the first day is expected to score 71 the second day.

Suppose further that recipients of the new spending by the builder in turn spend their new income, this will raise demand and possibly consumption further, and so on.

Suppose that a consumer chooses between these two options with equal probability, 0. 5, so that the odds ratio equals 1.

Suppose that supporters of the 2004 Republican candidate, George W. Bush, had set up vote pairing web sites so that Buchanan supporters from swing states in the US ( such as Ohio, where the Democrats and Republicans were in a close race ) would get matched with Bush supporters in solidly Democrat states ( such as Massachusetts ).

Suppose two firms, A and B, sell an identical commodity, each with the same cost of production and distribution, so that customers choose the product solely on the basis of price.

Suppose P ( i ) is the ith prime, so that P ( 1 ) =

Suppose a matrix has 0 -( 1 ) entries and in each column, the entries are non-decreasing from top to bottom ( so all-1's are on top, then 0's, then 1's are on the bottom ).

Suppose we drop n needles and find that h of those needles are crossing lines, so is approximated by the fraction.

Suppose that c is a simple closed curve in a closed, orientable surface S. Let A be a tubular neighborhood of c. Then A is an annulus and so is homeomorphic to the Cartesian product of

Suppose the object is placed at ( a, 0 ) ( 4, 0 ) in the example shown at right, and the puller in the origin, so a is the length of the pulling thread in the example at right.

Suppose further that a noisy error corrupts the three-bit state so that one bit is equal to zero but the other two are equal to one.

Suppose there are 5 voters, of whom 3 vote for candidate A and 2 vote for candidate B ( so p

Suppose that observers note that a particular town appears to be a cancer cluster, but lack a firm hypothesis of why this is so.

Suppose that certain outcomes are associated with three states of nature, so that ; This set of outcomes,, can be assumed to be a calculable money-prize in a controlled game of chance, unique up to one positive proportionality factor depending on the currency unit.

Suppose that the products are sold in separate markets ( this is commonly the case ) so demands are independent, and demand for good n is with inverse demand function Total revenue is