Suppose Af is defined in the sub-interval Af.

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 ).

Suppose there is a program

Suppose there is a chain at 1A, 2A, 3A, and 4A, along with another chain at 6A and 7A.

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 R ( x, y ) is a relation in the xy plane.

) 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 a car is driving up a tall mountain.

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 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 that is a complex-valued function which is differentiable as a function.

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 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, for example, one person hears something whereas someone else near that person does not.

Suppose we want to add the two arrays x and y and also do something depending on the variable w. We have the following C code:

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 ?...

Midway through the text, Abbey observes that nature is something lost since before the time of our forefathers, something that has become distant and mysterious which he believes we should all come to know better: " Suppose we say that wilderness provokes nostalgia, a justified not merely sentimental nostalgia for the lost America our forefathers knew.

Suppose, however, for a moment, all existing space to be bounded, and that a man runs forward to the uttermost borders, and stands upon the last verge of things, and then hurls forward a winged javelin ,— suppose you that the dart, when hurled by the vivid force, shall take its way to the point the darter aimed at, or that something will take its stand in the path of its flight, and arrest it?

Suppose one wants to come up with a definition of " right " in the moral sense.

Suppose I is an ideal which is not R ( respectively, A is a right ideal which is not R ).

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 ...".

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 a company issues warrants which give the holder the right to convert each warrant into one share at $ 500.

Suppose an observer looks along an arbitrary axis in the direction of increase and sees flow crossing the axis from left to right.

Suppose a president were being elected among three candidates, a left, a right, and a center candidate, and 100 votes cast.

Suppose that at some point, the left limit and right limit of the function differ by a non-zero gap:

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 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 in a single-elimination tournament the best team plays the second best team in the first round — the second best team will be eliminated right away, having only played one game.

Suppose that we give each individual the right to decide whether they want or don't want to read the book.

Suppose a librarian were to store his books alphabetically on a long shelf, starting with the A's at the left end, and continuing to the right along the shelf with no spaces between the books until the end of the Z's.

Suppose two lines, ℓ < sub > 1 </ sub > and ℓ < sub > 2 </ sub >, intersect at the point < var > A </ var > as shown at right.

Suppose John Jones, who, for 1960, filed on the basis of a calendar year, died June 20, 1961.

Take as an example a program that looks up a specific entry in a sorted list of size n. Suppose this program were implemented on Computer A, a state-of-the-art machine, using a linear search algorithm, and on Computer B, a much slower machine, using a binary search algorithm.

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 that on these sets X and Y, there are two binary operations and that happen to constitute the groups ( X ,) and ( Y ,).

: Suppose ƒ is a continuous complex-valued function defined on the real interval.

Suppose that a student performed poorly on a test and guesses that the cause was his not studying.

As they discussed Shelvocke's book, Wordsworth proffers the following developmental critique to Coleridge, which importantly contains a reference to tutelary spirits: " Suppose you represent him as having killed one of these birds on entering the south sea, and the tutelary spirits of these regions take upon them to avenge the crime.

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 a particle starts at point A, and there is a force F acting on it.

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

Suppose you want to find the shortest path between two intersections on a city map, a starting point and a destination.

Suppose someone told you they had a nice conversation with someone on the train.

* 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 Lloyds TSB is trading on the market at 410p bid, and 411p offer.

: Suppose there are three cottages on a plane ( or sphere ) and each needs to be connected to the gas, water, and electric companies.

Suppose U is a simply connected open subset of the complex plane, and a < sub > 1 </ sub >,..., a < sub > n </ sub > are finitely many points of U and f is a function which is defined and holomorphic on U

Suppose f is an analytic function defined on an open subset U of the complex plane.

Suppose that you start with $ 10 in poker chips, and you repeatedly wager $ 1 on a ( fair ) coin toss indefinitely, or until you lose all of your poker chips.

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.