We are left to choose between the two Lindemanns.

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 must yield to the divine will, he says ; we cannot pick and choose and accept only what we can understand.

We could, alternatively, choose an encoding for Turing machines, where an encoding is a function which associates to each Turing Machine M a bitstring < M >.

We therefore reach out to the couple with the hope that the non-Jewish partner will move closer to Judaism and ultimately choose to convert.

We support the decision of those who choose to officiate at rituals of union for same-sex couples, and we support the decision of those who do not.

We must therefore choose leaders who will surround themselves with righteous followers, who will then create the hierarchy that harmonizes Shi / Fei.

" We choose then ", they said to the people, " our Archdeacon Hildebrand to be pope and successor to the Apostle, and to bear henceforward and forever the name of Gregory " ( 22 April 1073 ).

... We suspect, more generally, that for any quantum system in a classical wormhole spacetime with a stable Cauchy horizon, the sum over all self-consistent histories will give unique, self-consistent probabilities for the outcomes of all sets of measurements that one might choose to make.

We would have chorn for chosen in Modern English if the consonantal shell of choose and chose had not been morphologically levelled ( cf.

We are justified in assuming that in an earlier and more barbarous age it was the universal practice in ancient Italy, wherever the worship of Saturn prevailed, to choose a man who played the part and enjoyed all the traditionary privileges of Saturn for a season, and then died, whether by his own or another's hand, whether by the knife or the fire or on the gallows-tree, in the character of the good god who gave his life for the world.

We don't sing about religion ... All our songs are short stories that, if anyone would so choose they could convert it into a horror movie.

We can choose another story.

“ We were really taking a ‘ best of everything ’ sort of approach, almost like a band's first album, in which there's a lot of material to choose from ,” Fagenson notes.

Nevertheless, he claims, " We do not have to choose between the US and Iraqi reactionary forces.

We can easily choose to use another orthonormal coordinate system () instead.

" Hammarskjöld writes, for example, " We are not permitted to choose the frame of our destiny.

We choose.

We choose the product of morphisms.

We must rather focus on those cardinal acts on which our whole existence hinges the moments which place us at the parting of roads, and as we then choose, our choice, the dread Either / Or, will either save or ruin us.

We choose therefore in the text as common designation of them both the term projective geometry.

We are increasingly free to choose what we want to do and who we want to be ( although Giddens contends that wealth gives access to more options ).

We want to choose β and r < nowiki >'</ nowiki > so that the invariants described above hold.

We determine the rational part without integrating it and we assign a given integral into Ostrogradsky's form:

Robert Perito, Where is the Lone Ranger When We Need Him ?, outlines a proposal for integrating military and civilian personnel to form a “ U. S. force for stability ” that would become part of a U. S. intervention force.

We can solve the equation for the grand potential by integrating the Taylor series of the integrand term by term, or by realizing that it is proportional to the Mellin transform of the Li < sub > 1 </ sub >( z exp (- β E )) where Li < sub > s </ sub >( x ) is the polylogarithm function.

We can factor this expression to obtain

We are interested in odd values of because any even value of trivially has the number as a prime factor.

< li > gcd ( a < sup > r / 2 </ sup > ± 1, N ) is a nontrivial factor of N. We are done .</ li >

We want to factor n = 455839.

We factor this and multiply the through the numerator:

We require that for every x in E, there is an open neighborhood U ⊂ B of π ( x ) ( which will be called a trivializing neighborhood ) such that π < sup >− 1 </ sup >( U ) is homeomorphic to the product space U × F, in such a way that π carries over to the projection onto the first factor.

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 can take account of this effect by introducing an electronic-band-structure correction factor λ < sub > B </ sub > into eq.

We get the solution to the dynamics problem ( up to a factor of ) from the statics problem by Wick rotation, replacing by and the spring constant by the mass of the rock:

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.

We can convert a mass expressed in kilograms to the equivalent mass expressed in metres by multiplying by the conversion factor G / c < sup > 2 </ sup >.

We can then factor n = x < sup > 2 </ sup > − y < sup > 2 </ sup > = ( x + y ) ( x − y ).

We can thus factor 35 as gcd ( 6 − 1, 35 ) =

We can also use factor bases to help us find congruences of squares more quickly.

We must note that the expression for in equation 2. 1 will be different for geometries other than the center-cracked infinite plate, as discussed in the article on the stress intensity factor.

The tongue-in-cheek approach " We Try Harder Because We're Number 2 " was a major success. The DDB " Daisy " ad is considered a significant factor in Lyndon B. Johnson's defeat of Barry Goldwater in the 1964 presidential election and landed Maxwell Dane on the infamous Nixon's Enemies List.

We believe that from all eternity God has intended to leave some of Adam ’ s posterity in their sins, and that the decisive factor in the life of each is to be found only in God ’ s will.

Suppose we are trying to factor the composite number N. We choose a bound B, and identify the factor base ( which we will call P ), the set of all primes less than or equal to B.

We will try to factor N = 84923 using bound B = 7.

We obtain the CAPM alpha if we consider excess market returns as the only factor.

We can use the same technique as used for decimation by factor 1, resulting in

We want no new plan, we want only to defend against its enemies that which is our priceless heritage ; that freedom which has given man, in this country, the fullest life and the richest expression the world has ever known ; that system which, in the present emergency, has fathered an effort that, more than any other single factor, will make possible the winning of this war .</ p >

In 1996, McConnell signed a statement supporting a constitutional amendment to ban abortion, which read, " Abortion kills 1. 5 million innocent human beings in America every year ... We believe that the abortion license is a critical factor in America's virtue deficit.