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* If X does not play center opening move ( playing a corner is the best opening move ), take center, and then a side middle.
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If and X
* If numbers have mean X, then.
* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.
If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.
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 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 detector was placed at a distance of 1 m, the ion flight times would be X and Y ns.
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 X is a Banach space and K is the underlying field ( either the real or the complex numbers ), then K is itself a Banach space ( using the absolute value as norm ) and we can define the continuous dual space as X ′ = B ( X, K ), the space of continuous linear maps into K.
* Theorem If X is a normed space, then X ′ is a Banach space.
If X ′ is separable, then X is separable.
If F is also surjective, then the Banach space X is called reflexive.
* Corollary If X is a Banach space, then X is reflexive if and only if X ′ is reflexive, which is the case if and only if its unit ball is compact in the weak topology.
If there is a bounded linear operator from X onto Y, then Y is reflexive.
The tensor product X ⊗ Y from X and Y is a K-vector space Z with a bilinear function T: X × Y → Z which has the following universal property: If T ′: X × Y → Z ′ is any bilinear function into a K-vector space Z ′, then only one linear function f: Z → Z ′ with exists.
If and does
If this new Bible does not increase in significance by repeated readings throughout the years, it will not survive the ages as has the King James Version.
If birds don't belong in a Square or Park, what does??
If private brand competition hasn't been felt in your product field as yet, have you thought how you will cope with it if and when it does appear??
If Af leads to an address Af that is equal to the address computed from Af, even though Af does not match Af, the chain of information cells is extended from Af by storing the address of the next available cell in the Y-region, Af, in Af.
If both George and a piece of information George does not have are prominent in the context, but the idea of telling George is new, then dominant stress will probably be on tell in why not tell George??
If, on the other hand, it is not settled, or while it is being debated and resolved, does the Federal government have a responsibility in situations like that in Prince Edward County??
If this threefold division of costs were to have its counterpart in the actual rates of charge for service, as it actually does have in some rates, there would result a three-part rate for any one class of service.
If this attitude is seriously questioned in the Soviet Union, it does not necessarily follow that the majority of the society in which I live is too aware of the necessity for clarity on this ethical as well as aesthetic point of view.
If a continuation card follows a statement that does not permit continuation cards, the compiler will generate a NOP and issue an error message.
If the compiler does encounter such statements, a warning message will be issued.
If the fourth dimension is a physical concept and not purely metaphysical, through what medium does it extend??
If a child does lose his first teeth prematurely because of decay -- and if no preventive steps are taken -- the other teeth may shift out of position, become overcrowded and malformed.
If he does, it's still better than an even chance he won't notice the transposition of the numbers, and if he should notice it, the thing can be passed off as an honest mistake.
If the administration does not succeed in passing the sales tax bill, or any other tax bill, it could very well be faced this spring at the fiscal session of the Legislature with an interesting dilemma.
If Bultmann's own definition of myth is strictly adhered to ( and it is interesting that this is almost never done by those who make such pronouncements ), the evidence is overwhelming that he does not at all exaggerate the extent to which the mythological concepts of traditional theology have become incredible and irrelevant.
If you know that he ( God ) is just ( righteous ), know that everyone also who does what is just ( righteous ) has been born of him.
If I get a low M. R., I do so because I want it that way or my dark self does.
If the appellate court does find a legal defect in the decision " below " ( i. e., in the lower court ), it may " modify " the ruling to correct the defect, or it may nullify (" reverse " or " vacate ") the whole decision or any part of it.
If it does, ocean levels would rise by a few metres in a very short period of time.
If, however, there are no shares left when the chain is founded, then the founding player does not receive the free share.
If Anne formed an attachment to Weightman it does not imply that he was attracted to her.
If the numbering does not start at 0, the constant B may not be the address of any element.
If abiotic stress does not have a strong presence in an area, the biodiversity will be much higher.
If light moves instantaneously, the telescope does not move, and the true direction of the star relative to the observer can be found by following the line ES.
If and play
If he can't play with Mommy's magazines, he should have some old numbers of his own.
If one asks about this play, what it is that comes upon this community and works within it with such terrible power, there is no better answer to give than `` spirit ''.
If the media agency responsible for the authorized production allows material from fans, what is the limit before legal constraints from actors, music, and other considerations, come into play?
If the defense makes no attempt to put the baserunner out ( for example, if the catcher doesn't even look his way ), the play is scored as defensive indifference ( also called fielder's indifference ), and no stolen base is credited to the runner.
If a bubble touches identically-colored bubbles, forming a group of three or more, those bubbles — as well as any bubbles hanging from them — are removed from the field of play, and points are awarded.
If the other player also knows to offer sacrifices, the expert also has to manipulate the number of available sacrifices through earlier play.
If a player rolls two of the same number, called doubles, that player must play each die twice.
If products designed for the new standard can receive, read, view or play older standards or formats, then the product is said to be backward-compatible ; examples of such a standard include data formats and communication protocols.
* If a player's injury causes the play-clock to stop, the player must sit out at least one play ; and
If Fulham win the toss, they usually choose to play towards the Hammersmith End in the second half.
If the core becomes sufficiently dense, electron degeneracy pressure will play a significant part in stabilizing it against gravitational collapse.
If the offensive team completes 10 yards on their first play, they lose the other two downs and are granted another set of three.
* If the offence attempts a forward pass and it is intercepted by the defence ; the defence takes possession immediately ( and may try to advance the ball on the play ).
If they choose to play from where the disc crossed out-of-bounds, they may take a one-meter relief from the out-of-bounds area, even if it puts them closer to the pin.
If that is the case, the thrower moves to the drop zone to play the next shot.
If the pass is received by a non-eligible receiver, the penalty for the foul " illegal touching " is assessed ( the play is treated as an incomplete pass, unless the ball is downed behind the line of scrimmage — in either case a down is lost ).
If the receiver catches the ball but the official determines that he was still " bobbling " it prior to the end of the play, then the pass will be ruled incomplete.
If, during the course of play, a loose ball travels past the goal line and is recovered within the end zone, then it is a touchdown if recovered by the team striving toward that goal, or a touchback if recovered and downed by the team striving toward the goal at the opposite end of the field.
If a lock, let it have been made in whatever country, or by whatever maker, is not so inviolable as it has hitherto been deemed to be, surely it is to the interest of honest persons to know this fact, because the dishonest are tolerably certain to apply the knowledge practically ; and the spread of the knowledge is necessary to give fair play to those who might suffer by ignorance.
If you want to play on his team you'd better like hard work, too.
If the player wishes to play the upper 8 ' from the upper manual only and not from the lower manual, a stop handle disengages the jacks labeled A and engages instead an alternative row of jacks called " lute stop " ( not shown in the Figure ).
If a claims adjuster suspects under-insurance, the condition of average may come into play to limit the insurance company's exposure.
If you ’ ve noticed, all of the symphonic musicians, they have played some of those classical tunes for years but they wouldn ’ t vary from one note – and every time they play they have to have the music.
If such a language existed, Zamenhof postulated, it could play the role of a neutral communication tool between people of different ethnic and linguistic backgrounds.
If a lock, let it have been made in whatever country, or by whatever maker, is not so inviolable as it has hitherto been deemed to be, surely it is to the interest of honest persons to know this fact, because the dishonest are tolerably certain to apply the knowledge practically ; and the spread of the knowledge is necessary to give fair play to those who might suffer by ignorance.
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