We attempted to conclude this, and did so by having the papers burned.

We may conclude that all six points of information, ostensibly given by the dream priest, could have been furnished by Dr. Hilprecht's subconscious reasoning.

We conclude that these data highlight signs of hepatorenal toxicity, possibly due to the new pesticides specific to each GM corn.

We can continue this reasoning along the entire height of the slit to conclude that the condition for destructive interference for the entire slit is the same as the condition for destructive interference between two narrow slits a distance apart that is half the width of the slit.

The EPR paper says: " We are thus forced to conclude that the quantum-mechanical description of physical reality given by wave functions is not complete.

Verner wrote, " We can conclude that although the ancient Egyptians could not precisely define the value of π, in practice they used it ".

We might conclude that soon, a great amount of trees would fall ; however this is not the case.

* We must therefore conclude that our original hypothesis ( that the compression function makes no file longer ) is necessarily untrue.

We are thus forced to conclude that the quantum-mechanical description of physical reality given by wave functions is not complete.

We consider P, or the negation of P, in addition to S ; if this leads to a logical contradiction F, then we can conclude that the statements in S lead to the negation of P, or P itself, respectively.

We may therefore apply Zorn's Lemma to conclude that A has a maximal element, say ( M, R ).

We may conclude at least that he achieved his stated goal therein: " To prevent someone who KNOWS from filling the empty space ".

" We conclude that epigenetic mechanisms may contribute to the known alterations of ANP homeostasis in women with eating disorders.

We also conclude that this could be a false statement.

We know that 60 % of all students are female, and among these 5 % are computer science majors, so we conclude that ( 60 / 100 ) × ( 5 / 100 )

We conclude that, in the field of public education, the doctrine of " separate but equal " has no place.

We cannot surely mean that actions have so little connexion with motives, inclinations, and circumstances, that one does not follow with a certain degree of uniformity from the other, and that one affords no inference by which we can conclude the existence of the other.

We conclude that is the Catalan number.

We conclude that four founding mtDNAs, likely of Near Eastern ancestry, underwent major expansion ( s ) in Europe within the past millennium .."

We thus conclude that the machine K does not exist, and so

However, recent studies in bats ( chiroptera ) has prompted some researchers to conclude that FoxP2 is not well conserved in non-human mammals and write: " We found that contrary to previous reports, FOXP2 is not highly conserved across all nonhuman mammals but is extremely diverse in echolocating bats.

We conclude that, based on the reported adverse events in these six trials, BFRs are probably safe.

We conclude that, in the field of public education, the doctrine of " separate but equal " has no place.

We can use this fact to prove part of a famous result: for any prime p such that p ≡ 1 ( mod 4 ) the number (− 1 ) is a square ( quadratic residue ) mod p. For suppose p = 4k + 1 for some integer k. Then we can take m = 2k above, and we conclude that

:"< 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 can factor this expression to obtain

Their constitution started, " We as liberated homosexual activists demand the freedom for expression of our dignity and value as human beings ".

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

We can use the average energy of the signal to find the final expression:

We now have an expression for the polynomial ( x + 1 )< sup > n + 1 </ sup > in terms of the coefficients of ( x + 1 )< sup > n </ sup > ( these are the a < sub > i </ sub > s ), which is what we need if we want to express a line in terms of the line above it.

Sussex's motto, We wunt be druv, is a Sussex dialect expression meaning ' we will not be pushed around ' and reflects the traditionally independent nature of Sussex men and women.

We will be able to derive both the ideal gas law and the expression for internal energy from it.

None has yet done it so sharply and so truly as In Which We Serve .... For the great thing which Mr. Coward has accomplished in this film is a full and complete expression of national fortitude ....

After the death of Pope John Paul II in 2005, Paisley expressed sympathy for Catholics stating " We can understand how Roman Catholics feel at the death of the Pope and we would want in no way to interfere with their expression of sorrow and grief at this time.

We see confusion in her expression when she sees two women playing chess in the sand.

“ We ask, secondly, for freedom of education, because it is a natural right, and thus to say, the first freedom of the family ; because there exists without it neither religious freedom nor freedom of expression .”

We can also say that an expression picks out its reference, or ( alternatively ) that the sense of an expression is what picks out its reference.

We may integrate the expression for to obtain the Helmholtz energy:

He was also opposed to the new Keynesian economic ideas and criticised its expression in the Liberals ' manifesto for the 1929 election, titled We can Conquer Unemployment.

We recognize the first term in this final expression as the non-relativistic expression derived above, while the last term is a relativistic correction factor.

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.

We add the quantity artificially to the microstate energies ( or, in the language of quantum mechanics, to the Hamiltonian ), calculate the new partition function and expected value, and then set λ to zero in the final expression.

We recognize the bracketed expression as, and the second term can be simplified by substituting.

There is a local expression: " We live near the sea and are getting nearer every day.

We, of course, do not use the complicated intrinsic expression C " B ' A to calculate.