We use terms from our personal experience with individuals such as `` trust '', `` cheat '', and `` get tough ''.

We note the use of rhetoric as a weapon, the manipulation of the masses by propaganda, the `` mobilization '' of effort and resources.

We no longer use the particular terms of Lessing and Victor Hugo.

We must use common sense in applying conditions

We are initiating research on the use of solid state materials for infrared detection using a method which will not require cooling of materials to attain high sensitivity.

We use the term `` bio-medicine '' because of the close interrelation between biology and medical research.

We found that wherever you can use two teams on a job, five men, not four, is the magic number ''.

We are preventing or averting pathogenic phenomena such as undue regression, unhealthy suppression and repression, excessive use of denial, and crippling guilt turned against the self.

We come upon a rabbit that has been caught in one of the brutal traps in common use.

We find it in that `` common way of life pleasing to Christ and still in use among the truest societies of Christians '', that is, the better monasteries which made it easier to convert the Utopians to Christianity.

Mainstream Christianity professes belief in the Nicene Creed, and English versions of the Nicene Creed in current use include the phrase: " We look for the resurrection of the dead, and the life of the world to come ".

Marlborough realised the great opportunity created by the early victory of Ramillies: " We now have the whole summer before us ," wrote the Duke from Brussels to Robert Harley, " and with the blessing of God I shall make the best use of it.

We use the stronger statement that every odd ( antipode-preserving ) mapping h: S < sup > n-1 </ sup > → S < sup > n-1 </ sup > has odd degree.

We use it to unify ourselves with our people and with Latin America.

I regard myself as Left of Centre which … is where a Party Leader ought to be … It is no use asking, “ What would Keir Hardie have done ?” We must have at the top men brought up in the present age, not, as I was, in the Victorian Age .’

We use that freedom to avoid paradoxes.

We deliberately use the phrase " with the addition of other means " because we also want to make it clear that war in itself does not suspend political intercourse or change it into something entirely different.

:"< sup >†</ sup > We shall use the expression ' computable function ' to mean a function calculable by a machine, and let ' effectively calculable ' refer to the intuitive idea without particular identification with any one of these definitions.

We will use the notation to denote the multiplicative inverse of, it is defined exactly when and are coprime ; the following construction explains why the coprimality condition is needed.

We had to use the letter ' O '".

We can use it as basis to say, " a < b " and " b > a ", two judgments which designate the same state of affairs.

An eighteenth-century response to the novel from the Monthly Review reads: “ We must hear no more of enchanted forests and castles, giants, dragons, walls of fire and other ‘ monstrous and prodigious things ;’ – yet still forests and castles remain, and it is still within the province of fiction, without overstepping the limits of nature, to make use of them for the purpose of creating surprise .”

#* We finally use the models in which the D < sub > n </ sub > hold ( in case all are not refutable ) in order to build a model in which φ holds.

We use synthetic division as follows:

::" And Be Merry " ( Eat Drink and Be Merry for Tomorrow We Die ) A lab biologist, female, takes advantage of her husband going off on an archeology trip, to use the privacy to experiment on herself for rejuvenation by a severe and dangerous method.

We repeat, that the test of a violation of 7 is whether, at the time of suit, there is a reasonable probability that the acquisition is likely to result in the condemned restraints.

We devote a chapter to the binomial distribution not only because it is a mathematical model for an enormous variety of real life phenomena, but also because it has important properties that recur in many other probability models.

We want to study the probability function of this random variable.

We shall find a formula for the probability of exactly X successes for given values of P and N.

We can run the algorithm a constant number of times and take a majority vote to achieve any desired probability of correctness less than 1, using the Chernoff bound.

We can see from the above that, if one flips a fair coin 21 times, then the probability of 21 heads is 1 in 2, 097, 152.

We would expect to find the total probability by multiplying the probabilities of each of the actions, for any chosen positions of E and F. We then, using rule a ) above, have to add up all these probabilities for all the alternatives for E and F. ( This is not elementary in practice, and involves integration.

We then have a better estimation for the total probability by adding the probabilities of these two possibilities to our original simple estimate.

We are allowed to keep the Schrödinger expression for the current, but must replace by probability density by the symmetrically formed expression

We obtain the same variation in probability amplitudes by allowing the time at which the photon left the source to be indeterminate, and the time of the path now tells us when the photon would have left the source, and thus what the angle of its " arrow " would be.

We need to stop when the state vector passes close to ; after this, subsequent iterations rotate the state vector away from, reducing the probability of obtaining the correct answer.

We consider a special case of this theorem for a binary symmetric channel with an error probability p.

We use the shorthand notation to denote the joint probability of by.

We can then infer that the probability that it has between 600 and 1400 words ( i. e. within k = 2 SDs of the mean ) must be more than 75 %, because there is less than chance to be outside that range, by Chebyshev ’ s inequality.

We use Lagrange multipliers to find the point of maximum entropy,, across all discrete probability distributions on.

We can construct a classical continuous random field that has the same probability density as the quantum vacuum state, so that the principal difference from quantum field theory is the measurement theory ( measurement in quantum theory is different from measurement for a classical continuous random field, in that classical measurements are always mutually compatible — in quantum mechanical terms they always commute ).

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.

There is, nevertheless, a small chance that we are unlucky and hit an a which is a strong liar for n. We may reduce the probability of such error by repeating the test for several independently chosen a.

Given the observation space, the state space, a sequence of observations, transition matrix of size such that stores the transition probability of transiting from state to state, emission matrix of size such that stores the probability of observing from state, an array of initial probabilities of size such that stores the probability that. We say a path is a sequence of states that generate the observations.

We separate the case in which the measure space is a probability space from the more general case because the probability case is more accessible for the general reader.

We denote the canonical probability distributions for the Hamiltonian and the trial Hamiltonian by and, respectively.