Suppose they both had ventured into realms which their colleagues thought infidel: is this the way gentlemen settle frank differences of opinion??

Suppose we are willing to accept that should be true when both and are true, and false when is true but is false.

* Suppose we have a language L recognized by both the RP algorithm A and the ( possibly completely different ) co-RP algorithm B.

Suppose that C is a twice continuously differentiable immersed plane curve, which here means that there exists parametric representation of C by a pair of functions such that the first and second derivatives of x and y both exist and are continuous, and

Suppose that X and Y are two plane projective curves defined over a field F that do not have a common component ( this condition is true if both X and Y are defined by different irreducible polynomials, in particular, it holds for a pair of " generic " curves ).

Suppose both fields have even C-parity ( even C-parity refers to even symmetry under charge conjugation ex.

Between lines 124 and 125, Henry states " Ah Plantagenet, why seekest thou to depose me ?/ Are we not both Plantagenets by birth ?/ And from two brothers lineally descent ?/ Suppose by right and equity thou be king ...".

Suppose, however, that the course was pass / fail and students were required to score above 70 on both tests to pass.

In Act 1, Scene 1, four lines are added at the beginning of Henry's declaration that he would rather see civil war than yield the throne ; " Ah Plantagenet, why seekest thou to depose me ?/ Are we not both Plantagenets by birth ?/ And from two brothers lineally descent ?/ Suppose by right and equity thou be king ...".

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 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 there is a plant ( process ) with a transfer function expression P ( s ), and a forward controller with both an adjustable gain K and output expression C ( s ) as shown in the block diagram below.

Suppose that our decoder drove both R and O over each decoder line,

Suppose that a 2-satisfiability instance contains two clauses that both use the same variable x, but that x is negated in one clause and not in the other.

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 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 both of them have at present the same price yield ( p-y ) combination ; also you have to take into consideration the profile, rating, etc.

Suppose a group G acts upon A, and that H is a unitary representation of both A and G which is equivariant in the sense that for all g in G, a in A and ψ in H,

Suppose, for example, that two threads, A and B, both attempt to grab a lock, backing off if it's already taken.

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 Mary and John both celebrate birthdays on August 7.

Suppose that we are given two conditional probabilities, P ( X | A ) and P ( X | B ), and we wish to estimate P ( X | A, B ), the probability of event X given both conditions A and B.

Suppose that a simple robot has two wheels which can both move forward or reverse and that they are positioned parallel to one another, and equidistant from the center of the robot.

Suppose that N is a subfactor of M, and that both are finite von Neumann algebras.

Suppose we have sample space.

) 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

; 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 that a speaker can have the concept of water we do only if the speaker lives in a world that contains H < sub > 2 </ sub > O.

Suppose we have N particles with quantum numbers n < sub > 1 </ sub >, n < sub > 2 </ sub >, ..., n < sub > N </ sub >.

Suppose we have a system of N bosons ( fermions ) in the symmetric ( antisymmetric ) state

Suppose, for concreteness, that we have an algorithm for examining a program p and determining infallibly whether p is an implementation of the squaring function, which takes an integer d and returns d < sup > 2 </ sup >.

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 ).

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

Suppose a person states ; " I believe that trinini exist, but I have absolutely no idea of what trininis are.

Suppose that we have already constructed Lebesgue measure on the real line: denote this measure space by ( R, B, λ ).

Suppose it is also known that 75 % of women have long hair, which we denote as

Suppose then that n observations have been made

* 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 we have a preparation procedure for a system in a physics

Suppose further that in order to find another dozen articles of interest, the researcher would have to go to an additional 10 journals.

Suppose we have K electronic eigenfunctions of, that is, we have solved

Suppose that we have pages: de: Zug,: en: Train and: fr: Train, then we need:

Suppose that you have a coin purse containing five quarters, five nickels and five dimes, and one-by-one, you randomly draw coins from the purse and set them on a table.

Suppose that after a while the mathematician in question settled on the new conjecture " All shapes that are rectangles and have four sides of equal length are squares ".

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 you have a function