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If and set
If Mahzeer was planning to set up the prime minister for Muller he would have to do it in the next few minutes.
If the defendant pleads not guilty, a date is set for a preliminary hearing or a trial.
If they don't then for the algorithm to be effective it must provide a set of rules for extracting a square root.
If we cannot make explicit choices, how do we know that our set exists?
If we try to choose an element from each set, then, because X is infinite, our choice procedure will never come to an end, and consequently, we will never be able to produce a choice function for all of X.
** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.
** If the set A is infinite, then there exists an injection from the natural numbers N to A ( see Dedekind infinite ).
If the automorphisms of an object X form a set ( instead of a proper class ), then they form a group under composition of morphisms.
* If a set S is in M and S is congruent to T then T is also in M and a ( S )
* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )
* If M is some set and S denotes the set of all functions from M to M, then the operation of functional composition on S is associative:
* If you want to be happy, set a goal that commands your thoughts, liberates your energy, and inspires your hopes.
If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.
If X and Y are Banach spaces over the same ground field K, the set of all continuous K-linear maps T: X → Y is denoted by B ( X, Y ).
If the score is tied the set is halved.
If each player wins a set, or both sets end tied, there is a 3-end tiebreaker to determine a winner.
If a node has fewer than two children, some of the child pointers may be set to a special null value, or to a special sentinel node.
Some authors require in addition that μ ( C ) < ∞ for every compact set C. If a Borel measure μ is both inner regular and outer regular, it is called a regular Borel measure.
In the words of Geoffrey Crowther, then editor of The Economist, " If the economic relationships between nations are not, by one means or another, brought fairly close to balance, then there is no set of financial arrangements that can rescue the world from the impoverishing results of chaos.
If, for instance, an addition operation was requested, the arithmetic logic unit ( ALU ) will be connected to a set of inputs and a set of outputs.
If the addition operation produces a result too large for the CPU to handle, an arithmetic overflow flag in a flags register may also be set.

If and up
If someone were to drop a match in here, this place would go up like a haystack ''.
If any of us miss, they can pick up the pieces.
`` If Blue Throat has his way he'll keep us all cooped up in here for days '', he said.
If there were no West Berlin problem, imperialist quarters would have invented an excuse for stepping up the armaments race to try to solve the internal and external problems besetting the United States and its NATO partners.
If some future Khrushchev decided to rake up the misdeeds of his revered predecessor, would not the factory workers pass the same resolutions applauding his dispossession??
If Joe doesn't show up, we'll all be back here at 0600 hours.
If he wanted to know anything, he would end up asking about it point-blank, but in this guileless manner he would probably receive more truthful answers than if he tried to get them by indirection.
If there is anything which we can do in the executive branch of the Government to speed up the processes by which we come to decisions on matters on which we must act promptly, that in itself would be a major contribution to the conduct of our affairs.
If you are up against private brand competition, have you formulated a long-term program for researching and strengthening your market position??
`` If you can fix it up with the undertaker '', returned the politician, `` it's all right with me ''.
If we manage to keep track of a Bombus queen after she has left her feeding place, we may discover the snug little hideout which she has fixed up for herself when she woke up from her winter sleep.
If the argument is accepted as essentially sound up to this point, it remains for us to consider whether the patient's difficulties in orienting himself spatially and in locating objects in space with the sense of touch can be explained by his defective visual condition.
If the platform is not too high off the ground, a transit can be mounted on a stand to raise it up to the platform.
If anyone thought of the John Harvey, it was to observe that she was straddled by a pair of ships heavily laden with high explosive and if they were hit the John Harvey would likely be blown up with her own ammo and whatever else it was that she carried.
`` If you expect her to show up '', she said, `` you'd better put ' and wife ' on there.
If Rose Mallory's killer acted this way, catching up with him was going to be a cinch.
If Rock shows up during the number -- or you hear anything -- give me the signal ''.
On my way out I told her, `` If you should eh just happen to see your husband, get him to give himself up.
If you want my advice, pack up and take the next train back to New York ''.
If it fails to pass, he can throw up his hands and say the Legislature would not support him in his efforts to prevent integration.
If they can't chalk up big business here then let's stop this noise about how hip we are, and stick to our community singing,
`` If it gave me pleasure to say hard things '', he wrote, `` I would shut up forever ''.
Thereupon Hwang Pah said: `` If I knew thou art an Arhat, I would have doubled you up before thou got over there ''!!

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