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Page "Proofs of Fermat's little theorem" ¶ 110
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We and will
We, in our country, think of war as an external threat which, if it occurs, will not be primarily of our own doing.
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 therefore leave the writer to the enjoyment of the unenvied reputation which the personal abuse he has heaped on us will entitle him to from the low and vulgar herd to which he belongs ''.
We hope that he will execute it in a manner that will entitle him to credit ''.
We may further grant to those of her ( Poetry's ) defenders who are lovers of poetry and yet not poets, the permission to speak in prose on her behalf: let them show not only that she is pleasant but also useful to States and to human life, and we will listen in a kindly spirit ; ;
We veterans acknowledge the fact that as time passes the demand for medical care at VA hospitals will grow proportionately as age fosters illness.
We feel that The Detroit News is to be complimented upon arranging for articles on these subjects and we hope that it will continue to provide material along wholesome lines.
We will know, and He will know, to whom it is rendered, what the birds would ask:
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 welcome this able brief for the negative as part of a many-sided discussion of the Atlantic Common Market which JNR will be continuing in our pages.
We will have righteousness ''!!
We will not yield to the demands of Bern ''!!
We all seek the same thing through different ways -- an end to this long night of two thousand years of darkness and unspeakable abuses which will continue to plague us until the Star of David flies over Zion ''.
We must ask ourselves which of the two alternatives will help the commuter -- the two-way B. & O. - C. & O. merger, or the three-way New York Central - B. & O. - C. & O. merger.
We should hope that peace corps projects will be truly international and that our citizens will find themselves working alongside citizens of the host country and also volunteers from other lands.
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 will then occupy the new plant under lease, with an option to purchase.
We believe that these improved facilities will contribute income and effect savings which will fully justify the investment.
`` We, the Subscribers, do agree, that as soon as a convenient Number of Persons have subscribed to this, or a similar Writing, We will present a petition to the Hon'ble General Court of the Commonwealth of Massachusetts, praying for an Act incorporating into a Body politic the subscribers to such Writing with Liberty to build such a Bridge, and a Right to demand a Toll equal to that received at Malden Bridge, and on like Terms, and if such an Act shall be obtained, then we severally agree each with the others, that we will hold in the said Bridge the several shares set against our respective Names, the whole into two hundred shares being divided, and that we will pay such sums of Money at such Times and in such Manners, as by the said proposed Corporation, shall be directed and required ''.

We and prove
We shall prove that Af.
We can now prove several lemmas.
We approach the proof of Theorem 2 by successively restricting the class of all formulas φ for which we need to prove " φ is either refutable or satisfiable ".
We seek to prove that there exist two irrational numbers and such that
Say instead we wish to prove proposition p. We can proceed by assuming " not p " ( i. e. that p is false ), and show that it leads to a logical contradiction.
We prove the inequality
We prove that there exists ( x, y, z ) such that
We should prove that the angular velocity previously defined is independent from the choice of origin, which means that the angular velocity is an intrinsic property of the spinning rigid body.
We can prove the cancellation law easily using Euclid's lemma, which generally states that if an integer b divides a product rs ( where r and s are integers ), and b is relatively prime to r, then b must divide s. Indeed, the equation
In 1950, Time quoted Webb: " We don ’ t even try to prove that crime doesn ’ t pay ... sometimes it does " ( Dunning, 210 )
We can prove in a similar manner that the Kelvin statement implies the Clausius statement, and hence the two are equivalent.
We shall prove the five lemma by individually proving each of the 2 four lemmas.
We prove that if an increasing sequence is bounded above, then it is convergent and the limit is.
We wish to prove that they are all the same color.
We cannot use Russia's methods, as they only and at best prove that the economy of an agrarian nation can be leveled to the ground ; Russia's thoughts are not our thoughts.
Jim Capaldi used this hiatus to record a solo album, Oh How We Danced, which would prove to be the beginning of a long and successful solo career.
We shall therefore now consider only arguments that prove the theorem directly for any matrix using algebraic manipulations only ; these also have the benefit of working for matrices with entries in any commutative ring.
We prove that this is not true.
We need to prove that some time class TIME ( g ( n )) is strictly larger than some time class TIME ( f ( n )).
We prove that R ( r, s ) exists by finding an explicit bound for it.
We now prove the result for the general case of c colours.
We have given to us a conception A uniting among its constituent marks two that prove to be contradictory, say M and N ; and we can neither deny the unity nor reject one of the contradictory members.
We wish to prove 4T < sup > 2 </ sup >
We do not intend to prove otherwise.

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