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We start with the standard assumption of independence of the two sides, enabling us to obtain the joint probabilities of pairs of outcomes by multiplying the separate probabilities, for any selected value of the " hidden variable " λ. λ is assumed to be drawn from a fixed distribution of possible states of the source, the probability of the source being in the state λ for any particular trial being given by the density function ρ ( λ ), the integral of which over the complete hidden variable space is 1.
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We and start
We need you to start it.
Clearly we can do this: We start at the first box, choose an item ; go to the second box, choose an item ; and so on.
We start with the definition of an inverse ( or projective ) system of groups and homomorphisms.
We will start by assuming that the supply and demand curves for labor will not change as a result of raising the minimum wage.
We start with a " sound wave " that is " noisy " at the prime numbers and silent at other numbers ; this is the von Mangoldt function.
We can work the other way and start by choosing < as a transitive trichotomous binary relation ; then a total order ≤ can equivalently be defined in two ways:
Another author, Thomas Geoghegan, whose speciality is labour rights, comes down on the side of Herodotus when it comes to drawing lessons relevant to Americans, who, he notes, tend to be rather isolationist in their habits ( if not in their political theorizing ): " We should also spend more funds to get our young people out of the library where they're reading Thucydides and get them to start living like Herodotus — going out and seeing the world.
We start by defining the input temperature states using " membership functions ":
In an interview with the Derry Journal in August 2009, the group's leadership explained: " We would monitor the actions of those who have come forward and, given an adequate period of time, interest in those drug dealers would cease and they could start to lead normal lives ".
That day, Raul Colombo, representing Argentina's candidacy, ended his speech with the phrase " We can start the world cup tomorrow.
He was quoted as saying, " We must start working in Jaffa.
We start from the exact non-relativistic, time-independent molecular Hamiltonian:
We were forced to shut down production, bribe our way out of the country, fight to get our costumes back, and start shooting again in California.
We start as dreams.
We intend to show that war crimes in Vietnam did not start in March 1968, or in the village of Son My or with one Lieutenant William Calley.
We start, that is, with the odd numbers in increasing order, then 2 times the odds, 4 times the odds, 8 times the odds, etc., and at the end we put the powers of two in decreasing order.
We start by dividing up our unsorted array into a single heap of one element, followed by an unsorted portion.
We start with color.
" We want the new generation to start thinking differently.
Several participants to the fighting reveal the precarious condition of the army throughout the day, including Marmont in his Memoirs, Captain Coignet: " We were retreating in good order but all ready to start running at the earliest sign of danger ", Captain Gervais: " In this battle, we were many times on the verge of being defeated.
We start by considering the level set of f at.
We weren't supposed to go out and start talking about spending millions of dollars on building and developing ... We were supposed to talk about having parties and good times and eatin ' barbecue ribs.
We start with the expressions for the Liénard – Wiechert field:
We and with
We may take her with us -- to California.
We are worried about what people may do with them -- that some crazy fool may `` push the button ''.
We use terms from our personal experience with individuals such as `` trust '', `` cheat '', and `` get tough ''.
We perform elaborate international exhortations and ceremonies with virtually no understanding of social cause and effect.
We were not, however, entirely unacquainted with the varying aspects of the street.
We shall return to these statements and deal with them more fully as the evidence for them accumulates.
We will recall that the still confident liberals of the Truman administration gathered with other Western utopians in San Francisco to set up the legal framework, finally and at last, to rationalize war -- to rationalize want and fear -- out of the world: the United Nations.
We are tempted to blame others for our problems rather than look them straight in the face and realize they are of our own making and possible of solution only by ourselves with the help of desperately needed, enlightened, competent leaders.
We can also argue that the three brothers Karamazov and Smerdyakov were the external representatives of an internal conflict within one man, Dostoevsky, a conflict having to do with father-murder and the wish to possess the father's woman.
We had stopped before a shop window to assess its autumnal display, when you suddenly turned to me, looking up from beneath one of your wrong hats, and with your nervous `` ahem ''!!
We and our friends are, of course, concerned with self-defense.
We must be ever alert that freedom does not wither through the careless amassing of restrictive controls or the lack of courage to deal boldly with the issues of the day.
`` We were requested by the Secretary General, as I understand it, to discuss with you such matters as appear to us to be relevant, and we are not of course either a formal group or a committee in the sense of being guided by any rules or regulations of the Secretariat.
We are all, though many of us are snobbish enough to wish to deny it, in far closer sympathy with the art of the music-hall and picture-palace than with Chaucer and Cimabue, or even Shakespeare and Titian.
We find, in the first place, that the students overwhelmingly approve of higher education, positively evaluate the job their own institution is doing, do not accept most of the criticisms levelled against higher education in the public prints, and, on the whole, approve of the way their university deals with value-problems and value inculcation.
We find `` reluctant recruits '' whose values are not in line with their expected occupation's characteristics.
We lived for a while in a movie melodrama with a German cook and her son who turned out to be Nazis.
We press him to conform to our comfortable conceptions and not to bruise our satisfactions with his word, and God's.
We do not defeat the good ones with this cruelty, but we add to their burden, while expecting them to bestow saintliness upon us in return for ostentatious church attendance and a few bucks a week, American cash.
Sir -- We are writing in reference to a recent `` suggestion '' made to the staff of the Public Health Nursing Service of Jersey City ( registered professional nurses with college background and varying experiences ).
We sympathize with Mr. Kennedy, but we feel bound to say that his budget review doesn't please us either, although for very different reasons.
We don't 'low nigras to walk on the same sidewalk with white men where I come from.
We tumbled to a stop in Deacon Gordon's cow hole, a low-lying bit of pasture with a muddy pool of water in its middle.
We ran east for about half a mile before we turned back to the road, panting from the effort and soaked with sweat.
0.466 seconds.