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Suppose and rod
Suppose the rod allows one to write four letters around in a circle and five letters down the side of it.
Suppose a uniform rigid heavy rod of length is somehow constrained between these two circles so that one end of the rod remains on the inner circle and the other remains on the outer circle.

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 constant
Suppose we have a material in its normal state, containing a constant internal magnetic field.
: Suppose X is a compact Hausdorff space and A is a subalgebra of C ( X, R ) which contains a non-zero constant function.
* Suppose that is a sequence of Lipschitz continuous mappings between two metric spaces, and that all have Lipschitz constant bounded by some K. If ƒ < sub > n </ sub > converges to a mapping ƒ uniformly, then ƒ is also Lipschitz, with Lipschitz constant bounded by the same K. In particular, this implies that the set of real-valued functions on a compact metric space with a particular bound for the Lipschitz constant is a closed and convex subset of the Banach space of continuous functions.
Suppose there is constant risk-free interest rate r and the futures price F ( t ) of a particular underlying is log-normal with constant volatility σ.
" Suppose a cylindrical wing ( constant chord, incidence, etc.
Suppose that P ( t ) is a curve in S. Naïvely, one may consider a vector field parallel if the coordinate components of the vector field are constant along the curve.
Suppose f is bounded: i. e. there exists a constant M such that | f ( z )| ≤ M for all z.
Suppose C is a category, and f: X → Y is a morphism in C. The morphism f is called a constant morphism ( or sometimes left zero morphism ) if for any object W in C and any g, h: W → X, fg
Example: Suppose that the manifold is the circle ( thought of as R / Z ), and D is the operator d / dx − λ for some complex constant λ.
Suppose the stone had a greater mass ( hence greater weight as g = constant ).
Suppose that the matrices are given as well as inputs and outputs for all then it is possible to determine to within an additive constant vector which lies in the null space of defined by
Suppose a tunnel is dug from one end of the earth to the other end straight through the center of earth, a stone dropped in such a tunnel oscillates with Schuler's time constant.
Suppose x and y are variables, while a is taken as a constant.
Suppose that θ is a differential 1-form on an n dimensional manifold, such that dθ has constant rank p. If
Suppose a manifold is embedded in to a symplectic manifold, such that the pullback of the symplectic form has constant rank on.

Suppose and rate
Suppose that the risk free rate of return R ( the bank rate ) for one year is 4 %.
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 you have a gram of rubidium-87 and with your Geiger counter, you get a count rate which, after taking solid angle effects into account, is consistent with a decay rate of 3200 decays per second ; this would correspond to a specific activity of 3. 2 × 10 < sup > 6 </ sup > Bq / kg.
Suppose each customer of an insurance company has an " accident rate " Θ and is insured against accidents ; the probability distribution of Θ is the underlying distribution, and is unknown.
Suppose in the above example that the market value of the land being leased was actually 1, 200 a month, but the 1, 000 per month rate represented a break given to the tenant by the landlord.
Suppose the asset has an expected return of 15 % in excess of the risk free rate.
Suppose that is the risk-free interest rate to expiry of the domestic currency and is the foreign currency risk-free interest rate ( where domestic currency is the currency in which we obtain the value of the option ; the formula also requires that FX rates – both strike and current spot be quoted in terms of " units of domestic currency per unit of foreign currency ").
Suppose it is desired to estimate the failure rate of a certain component.
Suppose if the Federal funds rate is 2 % and the inflation rate is 10 %, then it means that the borrower would gain 7. 27 % of every dollar borrowed.

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