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 one transmits 1000 bits ( 0s and 1s ).

Suppose that one particle is in the state n < sub > 1 </ sub >, and another is in the state n < sub > 2 </ sub >.

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

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

: Suppose that we know we are in one or other of two worlds, and the hypothesis, H, under consideration is that all the ravens in our world are black.

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 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 that the distribution consists of a number of discrete probability masses p < sub > k </ sub >( θ ) and a density f ( x | θ ), where the sum of all the ps added to the integral of f is always one.

Suppose, however, that you pick two tickets rather than one.

Suppose that there are two agents in an economy, one that only values guns and one that only values butter.

Suppose there is a town with just one barber, who is male.

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 that ƒ is a function of more than one variable.

Suppose you recognize one student — call her Anna — from a prior course in which Anna either excelled or did poorly.

Suppose some given data points each belong to one of two classes, and the goal is to decide which class a new data point will be in.

Suppose that you are popping one hundred kernels of popcorn, and each kernel will pop at an independent, uniformly random time within the next hundred seconds.

Suppose one wants to solve a differential equation of the form

Suppose Bob bids one more time, at $ 10. 00.

Suppose that, at pairs, declarer is in a standard contract, one that the majority of the field will surely reach.

Suppose the lines in front of the movie houses were too long and we couldn't get in??

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.

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 per contra that were a non-finitely generated left-ideal.

Suppose someone buys all the planks, masts and whatever that is stored in the warehouse, and out of all of those materials, and absolutely no others, he builds a ship according to the same plans that were used to build the ship, christened " the Theseus ".

Suppose that the universe were not expanding, and always had the same stellar density ; then the temperature of the universe would continually increase as the stars put out more radiation.

:: “ Suppose that a sheriff were faced with the choice either of framing a Negro for a rape that had aroused hostility to the Negroes ( a particular Negro generally being believed to be guilty but whom the sheriff knows not to be guilty )— and thus preventing serious anti-Negro riots which would probably lead to some loss of life and increased hatred of each other by whites and Negroes — or of hunting for the guilty person and thereby allowing the anti-Negro riots to occur, while doing the best he can to combat them.

Suppose G were a universal solvable word problem group.

Suppose we were to increase the concentration of CO in the system.

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.

Mendelssohn answered in an open letter in December 1769: " Suppose there were living among my contemporaries a Confucius or a Solon, I could, according to the principles of my faith, love and admire the great man without falling into the ridiculous idea that I must convert a Solon or a Confucius.

Suppose f were injective, which means the pieces of S cut out by the squares stack up in a non-overlapping way.

Suppose the total composition were 50 / 50 %.

Suppose that we had a proof that all sets of four horses were the same color.

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

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

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 further that if the young man were to disappear, no one would suspect the doctor.

Suppose it is necessary to know the price of the oil at 12: 00PM on one particular day in the past ; one must base the estimate on any number of samples that were obtained on the days before and after the event.

Suppose Atwood were to fraudulently sell the same property to another person, Dunn.