) 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 further, because this is necessary to the alleged case for our nuclear weapon as the defence of last resort, that, as in 1940, the United States was standing aloof from the contest but that, in contrast with 1940, Britain and the Warsaw Pact respectively possessed the nuclear weaponry which they do today.

* Suppose & B is equivalent to & D. If we acquire new information A and then acquire further new information B, and update all probabilities each time, the updated probabilities will be the same as if we had first acquired new information C and then acquired further new information D. In view of the fact that multiplication of probabilities can be taken to be ordinary multiplication of real numbers, this becomes a functional equation

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

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

Suppose further that we can generate a sample of replications of the random vector.

Suppose further that we are allowed to rebalance our portfolio at times but without injecting additional cash into it.

Suppose further that the dimension of B over k is finite, i. e. that B is a central simple algebra.

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 further that a < sub > 1 </ sub >/ a < sub > 2 </ sub > and a < sub > 0 </ sub >/ a < sub > 2 </ sub > are analytic functions.

Suppose that a further percent of the citizens also vote on every issue in the local government ballots.

Suppose further that the time to cross the device is the forward transit time.

Suppose that the equivalence problem has been through the loop enough times that no further reduction is possible.

Suppose further that for any n elements x < sub > 1 </ sub >,..., x < sub > n </ sub > of F which are linearly independent over Q, the extension field Q ( x < sub > 1 </ sub >,..., x < sub > n </ sub >, e ( x < sub > 1 </ sub >),..., e ( x < sub > n </ sub >)) has transcendence degree at least n over Q.

Suppose he goes further, and foolishly testifies on direct examination " in fact, I've never possessed heroin in my life.

:" Moses said to God, ' Suppose I go to the Israelites and say to them, " The God of your fathers has sent me to you ," and they ask me, ‘ What is his name ?’ Then what shall I tell them ?” God said to Moses, “ I AM WHO I AM " — Exodus 3: 13-14 ( New International Version ) ( see Tetragrammaton ).

The EP contained one new studio track " Someday I Suppose ," which would later appear on the band's third full-length album.

During an appearance on Larry King Live, he was asked by a telephone caller " Suppose we go to war and go into Iraq and there are no weapons of mass destruction ," Woodward responded " I think the chance of that happening is about zero.

Suppose that we had two received texts, and one said: " She flowered the table ," but the other text said: " She floured the table.

" Suppose ," said I, " you represent him as having killed one of these birds on entering the South Sea, and that the tutelary Spirits of those regions take upon them to avenge the crime.

Suppose Adam owns title to lands, and executes a deed " to Beulah for life, and then to Adam's heirs ," Caleb and Dinah.

Moore continued to say " I wanted to sock him in the head ," and her song " It Ain't Suppose To Be This Way " is believed to reference the event of Comb's " stealing " her song.

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 ).

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.

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

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.

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 a man walked into a room and saw someone rolling a pair of dice.

Suppose the man should fall asleep,

Suppose the man should fall asleep?

Suppose the man should fall asleep?

: Suppose now that there were two such magic rings, and the just put on one of them and the unjust the other ; no man can be imagined to be of such an iron nature that he would stand fast in justice.

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, for example, that a man gives a woman a ring and tells her that it is for her next birthday and to hold on to it until then.

Suppose at this very moment her father was calling my house in an effort to cancel the plans??

Suppose -- just suppose this guy was really what he said he was!!

`` Suppose it was not us that killed these aliens.

Suppose there was such a catalyst that shifted an equilibrium.

Suppose we look at S1 just a couple of years after it was built.

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

INTERVIEWER: Suppose someone called you and said there was a kid, nineteen or twenty years old, who has been a very good boy, but all of a sudden this week he started walking around the neighborhood carrying a large cross.

Suppose it was discovered that the little boy was actually hired by the glazier, and paid a franc for every window he broke.

A video was also filmed for " Someday I Suppose " and it received minor airplay on MTV.

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

Suppose Libet knows that your readiness potential peaked at millisecond 6, 810 of the experimental trial, and the clock dot was straight down ( which is what you reported you saw ) at millisecond 7, 005.

The theorem can also be used to deduce that the domain of a non-constant elliptic function f cannot be C. Suppose it was.

Suppose that Aesop is dissatisfied with his classic experiment in which one tortoise was found to beat one hare in a race, and decides to carry out a significance test to discover whether the results could be extended to tortoises and hares in general.

Suppose a fixed-coupon callable bond was brought to the market by a company.

After the release of two 1970 comedies, The Boatniks and Suppose They Gave a War and Nobody Came ?, Ameche was absent from theatrical movies for the next 13 years.

It is therefore known that in the conflict some aboriginals were killed, and that the colonists " had reason to Suppose more were wounded, as one was seen to be taken away bleeding ".

Suppose a loop was written like this:

Suppose that a nonsense mutation was introduced at the fourth triplet in the DNA sequence ( CGA ) causing the cytosine to be replaced with thymine, yielding TGA in the DNA sequence.

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.