We had assumed that at least this local legislative body had nothing to hide, and, therefore, had no objections to making the deliberations of its committees and the city commissions available to the public.

" The show is tentatively called All Together Now and is assumed to follow the format of Merrily We Roll Along.

Nature, we believe, has given women the ability to create ; therefore it is only natural that women be in positions of power to protect this function .... We traced our clans through women ; a child born into the world assumed the clan membership of its mother.

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.

We note here that if the trajectories of the vertices are assumed to be linear polynomials in then the final sixty functions are in fact cubic polynomials, and in this exceptional case, it is possible to locate the exact collision time using the formula for the roots of the cubic.

:" We arrive at a deeper reason than has hitherto been disclosed for the difference between our position with reference to Christianity, and that which has been assumed by Radicalism and by Positivism.

We have implicitly assumed that the investor's cost of borrowing money is the same as that of the firm, which need not be true in the presence of asymmetric information, in the absence of efficient markets, or if the investor has a different risk profile to the firm.

We have assumed units such that the speed of light.

We begin with an unperturbed Hamiltonian H < sub > 0 </ sub >, which is also assumed to have no time dependence.

We see also that the expression is singular if any of these states have the same energy as state n, which is why we assumed that there is no degeneracy.

Initially e is assumed to be a rational number of the form a / b. We then analyze a blown-up difference x of the series representing e and its strictly smaller partial sum, which approximates the limiting value e. By choosing the magnifying factor to be the factorial of b, the fraction a / b and the partial sum are turned into integers, hence x must be a positive integer.

" Journalist Heywood Broun pretended to investigate: " We assumed, of course, from the tone of Mr. Palmer's manifesto that his opponents for the nomination were Rumanians, Greeks and Icelanders, and weak-kneed ones at that .... We happened into Cox's headquarters wholly by accident and were astounded to discover that he, too, is an American .... Thus encouraged we went to all camps and found that the candidates are all Americans.

Prince Fahd, who would eventually become the Saudi King himself, assumed the office of the first Ministry of Education, and following the first session of the Council of Ministers, he announced, “ We will shortly establish the first Saudi University, this is a foregone conclusion.

Today, La Gaceta is still published weekly under the direction of Roland's son ( and Victoriano's grandson ) Patrick Manteiga, who has assumed authorship of the " As We Heard It " column.

Let T be a table, E an element to insert, num ( T ) the number of elements in T, and size ( T ) the allocated size of T. We assume the existence of operations create_table ( n ), which creates an empty table of size n, for now assumed to be free, and elementary_insert ( T, E ), which inserts element E into a table T that already has space allocated, with a cost of 1.

We initially assumed that creating a table was free.

Jackson describes his central character: “ We assumed that Kong is the last surviving member of his species.

He was already drawing comparisons between the centralist features of the New Deal on the one hand, and Benito Mussolini's policies on the other: " We seem wrote to be not a long way off from the kind of Fascism which Mussolini preached in Italy before he assumed power ; and we are steadily approaching the conditions which made Fascism possible.

The " throne of Dagobert " is first mentioned in the 12th century, already as a treasured relic, by Abbot Suger, who claims in his Administratione, " We also restored the noble throne of the glorious King Dagobert, on which, as tradition relates, the Frankish kings sat to receive the homage of their nobles after they had assumed power.

We also have a vector of regressors X, which are assumed to influence the outcome Y.

We also know, since no damping is assumed, that KE when y = 0 equals the PE when v = 0 for the whole system.

We have assumed that each stellar system in evolutions throws off electric corpuscles into space.

It should come as a shock to the parents of five high school seniors that their elected school board had assumed over their children before and after school, off school grounds, and with regard to their children ’ s rights expressing their thoughts ... We trust that it will come as no shock to the school board that their assumption of authority is an unconstitutional usurption of the First Amendment.

We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.

`` 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 now have to think not only of our national security but also of the future generations who will suffer from any tests we might undertake.

We don't need this type of protection any more.

We fail to see how such procedure resulted in any prejudice to petitioner's contention, which was considered by the appeal board and denied by it.

`` We no longer have Tom Moore's and Longfellow's ' heart for any fate ', either '', I said.

We now shall show that any involution with these characteristics is necessarily of the type we have just described.

We have consoled ourselves with the thought that this is a normal human reaction and is one of the consequences of any decision in an adversary proceeding.

We also see how the results may be presented, although if n, the number of state variables, is large any tabulation will become cumbersome.

We can't expect any help from the fighters at Foggia, either.

`` We '' were Bill Garrett of the National Geographic Illustrations Staff, whose three cameras and eight lenses made him look as formidable as any fighting man we met ; ;

Finally, Orville intoned through his hawk nose, `` We can't have people running in any time they please, Sergeant ''.

We must be ready for any needed sacrifice ''.

in effect, he was practicing what he preached in his Berlin message two weeks ago when he declared: `` We shall always be prepared to discuss international problems with any and all nations that are willing to talk, and listen, with reason ''.

We cannot, of course, assign it any substance.

We all painted in our spare time, and we had all started as easel painters with scholarships, but he was the only one of us who made any regular money at it.

" We are not youth any longer.

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 have lived up to our convictions .” In any case, lack of accreditation seems to have made little difference during the post-war period, when the university more than doubled in size.

We also allow for an empty set, often denoted Ø and sometimes: a set without any members at all.

The Sudanese government was blamed for the attack, which was the second in the region in three days, but Sudanese foreign ministry spokesman Jamal Mohammed Ibrahim denies any Sudanese involvement, " We are not for any escalation with Chad.

At the Labour Party conference at Southport in 1934, Attlee declared that " We have absolutely abandoned any idea of nationalist loyalty.

We might not see any rotation initially, but if we closely look at the right, we see a larger field at, say, x = 4 than at x = 3.

:"< 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.