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Page "Topological space" ¶ 2
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We and allow
We allow no underwater endurance contests, either, or inexpert versions of water polo.
We should not allow the image of an immanent end brought about indirectly by our own action in the continuing human struggle for a just endurable order of existence to blind us to the fact that in some measure accelerating the end of our lease may be one consequence among others of many other of mankind's thrusts toward we know not what future.
John Wesley, the founder of the movement, was not prepared to allow unordained preachers to administer the sacraments: " We believe it would not be right for us to administer either Baptism or the Lord's Supper unless we had a commission so to do from those Bishops whom we apprehend to be in a succession from the Apostles.
We also allow for an empty set, often denoted Ø and sometimes: a set without any members at all.
However, in 1962 the London Beth Din and the Chief Rabbi Israel Brodie, who formed the leadership of the United Synagogue, the UK's Orthodox establishment, refused to allow his appointment on grounds of heresy because in his 1957 book We Have Reason to Believe, Jacobs had rejected the conception of a literal, verbal revelation of the Torah.
We should mind our own business and allow others to mind theirs.
Around 4 July, Poisson declared Galois ' work " incomprehensible ", declaring that " argument is neither sufficiently clear nor sufficiently developed to allow us to judge its rigor "; however, the rejection report ends on an encouraging note: " We would then suggest that the author should publish the whole of his work in order to form a definitive opinion.
When I go to church, I am met by no upturned nose and scornful lip to tell me, ' We don't allow niggers in here!
We can allow the table size n to not be a power of 2 and still not have to perform any remainder or division operation, as these computations are sometimes costly.
We were given minds to allow us to live together in mutual assistance and security.
We can no longer allow our founder, our members, and allies to be dehumanized and unfairly discriminated against.
* Club of Rome report, quote: " We must also keep in mind the presence of social delays -- the delays necessary to allow society to absorb or to prepare for a change.
We can thereby allow ourselves to be absorbed in the activities around us until these irrationalities vanish on their own accord.
One Republican Minnesota state legislator was clear about what his party was trying to do: " We don't propose to allow the Democrats to make allies of the Populists, Prohibitionists, or any other party, and get up combination tickets against us.
We have nine of them, you know, and they are going to live in Australia when you and I are no longer here, and, by heaven, I am not going to allow anyone to ruin Australia if I can lift a finger to prevent it '
' Here is our answer: We refuse to allow you to speak for all the American people ... We refuse to be party to these wars and we repudiate any inference that they are being waged in our name or for our welfare ..." It indicates as inspiration "... Israeli reservists who, at great personal risk, declare ' there IS a limit ' and refuse to serve in the occupation of the West Bank and Gaza ", the abolitionists, and " those who defied the Vietnam war " and concludes, " we will resist the machinery of war and repression and rally others to do everything possible to stop it.
We should not allow even invocations of Auschwitz to blackmail us into supporting the wrong cause .” ( Quoted in Prophets Outcast, Nation Books, 2004, p. 184 )
In 1885 Acton asserted that: " We must never judge the quality of a teaching by the quality of the Teacher, or allow the spots to shut out the sun.
We also do not allow him to interfere with his country from Zimbabwe.
Statement on Irish Free State passport ( 1927 ): We Timothy Healy, Esquire, one of His Majesty's Counsel, Governor General of the Irish Free State, Request and require, in the Name of His Britannic Majesty, all those whom it may concern to allow the bearer to pass freely ... etc.
" We are concerned about the flavour of this script, which, in its preoccupation with horror and gruesome detail, goes far beyond what we are accustomed to allow even for the ' X ' category.
Attorney General Alberto Gonzalez said: We have a responsibility not to allow our nation to become a safe haven for those who provide assistance to ... terrorists.
We must never allow the successor conference in Geneva in April next year to be a repetition of this ".

We and X
We shall find a formula for the probability of exactly X successes for given values of P and N.
We need not determine the existence or non-existence of X.
Representable functors: We can generalize the previous example to any category C. To every pair X, Y of objects in C one can assign the set Hom ( X, Y ) of morphisms from X to Y.
Describing his intention, Capa said ' We named this unknown generation, The Generation X, and even in our first enthusiasm we realised that we had something far bigger than our talents and pockets could cope with '.
We can assume without loss of generality that the support of each X < sub > i </ sub > is
We may define a possibly different topology on X using the continuous ( or topological ) dual space X < sup >*</ sup >.
Notable story arcs of this decade are " Revolution " ( 2000 ), " Eve of Destruction ," " E Is For Extinction " ( 2001 ), " Planet X ," " Here Comes Tomorrow ," " Gifted ," ( 2004 ) X-Men: Phoenix-Endsong, " House of M ," " Decimation " ( 2005 ), Deadly Genesis ( 2005 – 2006 ), " Endangered Species " ( 2007 ), " Messiah Complex " ( 2007 – 2008 ), " Divided We Stand " ( 2008 ), " Manifest Destiny " ( 2008 – 2009 ), X-Infernus, " Messiah War ," " Utopia ," " Nation X " and " Necrosha " ( 2009 ).
:( 1 ) Speaker X: " We should leave for the show or else we ’ ll be late.
We define Thm ( C ) to be the set of all formulas that are valid in C. Conversely, if X is a set of formulas, let Mod ( X ) be the class of all frames which validate every formula from X.
We say that a formula or a set X of formulas is canonical with respect to a property P of Kripke frames, if
We do this first for, where the desired extension of f: X → is just the projection onto the coordinate in.
* We may give R < sup > N </ sup > the I-adic topology, where I = ( X ) is the ideal generated by X, which consists of all sequences whose first term a < sub > 0 </ sub > is zero.
Strategic goals could be " We want to conquer area X ", or " We want to stop country Y's expansion in world trade in commodity Z "; while tactical decisions range from a general statement, e. g. " We're going to do this by a naval invasion of the North of country X ", " We're going to blockade the ports of country Y ", to a more specific " C Platoon will attack while D platoon provides fire cover ".
We define a chain complex for X by taking A < sub > n </ sub > to be the free abelian group ( or free module ) whose generators are all continuous maps from n-dimensional simplices into X.

We and be
`` We aim t' be see-lective, y'know??
We spoke of the need for advertising, and I agreed that the deep dive would be most useful for publicity.
We, in our country, think of war as an external threat which, if it occurs, will not be primarily of our own doing.
We have proved so able to solve technological problems that to contend we cannot realize a universal goal in the immediate future is to be extremely shortsighted, if nothing else.
We must not forget, to be sure, that free discussion and debate have produced beneficial results.
We would be ignoring the special circumstances of other countries.
We face, indeed, what may be a turning point in history, and we must act decisively and wisely.
We must be ever alert that freedom does not wither through the careless amassing of restrictive controls or the lack of courage to deal boldly with the issues of the day.
`` 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 need not, to be sure, expect to find such ideas in every piece of literature.
We must avoid the notion, suggested to some people by examples such as those just mentioned, that ideas are `` units '' in some way comparable to coins or counters that can be passed intact from one group of people to another or even, for that matter, from one individual to another.
We can be virtuous only if we control our lower natures, the passions in this case, and strengthen our rational side ; ;
We lived for a while in a movie melodrama with a German cook and her son who turned out to be Nazis.
We must, first of all, be willing to forgive others before we can secure God's forgiveness.
We want the past forgiven, but at the same time we must be willing for God to direct the future.
We expect him to be noble, and to make us so -- yet he knows, and tries to tell us, how very humble man must be.
We have no right to criticize them, as they realize they would be sitting ducks in a nuclear war.
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 would be crippled by reduced output, industrial decline, widespread unemployment ''.
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 hoped that its practitioners and teachers might be put on some sort of reserve list and called back for refresher courses each year or so.
-- We won't be too long.
We blushed and were flustered, and it turned out to be the fleetest brush of lips upon cheek.
We found in Gonzales v. United States, supra, that this was the controlling reason why copies of the recommendation should be furnished a registrant.

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