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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 goes
Without preliminaries, Esther asked him, `` If you are a world citizen, will you take Garry Davis' place in his tent while he goes to the hospital ''??
If the decision goes wrong, it may be -- as Mr. Stevenson fears -- `` the first step on the slippery path downhill '' to a U.N. without operational responsibilities and without effective meaning.
If more than one player selects a tile in that row, then the player whose tile is in the leftmost column ( closest to 1 ) goes first.
If the daughter is an only child or her sisters are deceased and have no living issue, she ( or her heir ) is vested with the title ; otherwise, since a peerage cannot be shared nor divided, the dignity goes into abeyance between the sisters or their heirs, and is held by no one.
If she goes her time out, she herself cuts the navel-string with a shell, which she boils along with the secondine, and eats them both.
If a kicked ball goes out of bounds, or the kicking team scores a single or field goal as a result of the kick, the other team likewise gets possession.
If a fumbled ball goes out of bounds, the team whose player last touched it is awarded possession at the spot where it went out of bounds.
If something goes wrong, ed is sometimes the only editor available.
If the Commons have impeached a peer, the Lords take custody of the accused, otherwise custody goes to Black Rod.
If truly irreducible systems are found, the argument goes, then intelligent design must be the correct explanation for their existence.
If one is ill, one goes to a doctor rather than a psychologist, because the doctor is expert in the subject of health.
If a fighter loses consciousness (" goes limp ") as a result of legal strikes, or does not immediately defend himself after a knockdown, he is declared knocked out.
If the net excitation received by a neuron over a short period of time is large enough, the neuron generates a brief pulse called an action potential, which originates at the soma and propagates rapidly along the axon, activating synapses onto other neurons as it goes.
If that judgment goes to appeal, the appellate court will have the opportunity to review both the precedent and the case under appeal, perhaps overruling the previous case law by setting a new precedent of higher authority.
If his reasoning is valid, he goes on to argue, either it is not very immoral to value small luxuries over saving many lives, or such affluent people are very immoral.
If both vaulters miss, the bar goes down by a small increment, and if both clear, the bar goes up by a small increment.
If the ball goes wide of the goal, the defending team is allowed a free ' knock-in ' from the place where the ball crossed the goal line, thus getting the ball back into play.
If this goes unnoticed by a player, the opponent can fill in the empty space, completing the tessera.
If a player goes outside the path, they next start where their pencil left the track.
If the project goes ahead, feeder ships would take containers from the port of Oswego on Lake Ontario in upstate New York to Melford International Terminal in Nova Scotia for transfer to larger ocean-going ships.
If and when the airport eventually goes ahead, the Royal Mail ship will cease operations when flights begin.
If a person occupies land for the required period of time as set out in provincial limitation acts and, during that time, no legal action is taken to evict or in trespass, the ownership in the land goes from the legal owner to the squatter.
If mating goes on for too long, the female may eventually lose interest, breaking off the process.

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