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Page "Optimal substructure" ¶ 6
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If and these
If these people were denied a voice ( do they have a moral right to a voice??
If you cut down these horrible buildings you'll have no more traffic jams.
If art is to release us from these postulated things ( things we must think symbolically about ) and bring us back to the ineffable beauty and richness of the aesthetic component of reality in its immediacy, it must sever its connection with these common sense entities ''.
If the would-be joiner asks these questions he is not likely to be duped by extremists who are seeking to capitalize on the confusions and the patriotic apprehensions of Americans in a troubled time.
If you're lyin' out in the hammock at night, and it gets kinda cool -- you know -- you just take these sides with the fringe on -- see -- and wrap 'em right over you.
If Russian pupils have to take these languages, how come American students have a choice whether or not to take a language, but have to face so many exceptions??
If these services are to be maintained, the New York Central must have the revenues to make them possible ''.
If the resulting difference for the particular State is less or more than these extremes, the State's allotment percentage must be raised or lowered to the appropriate extreme.
If the resulting difference for the particular State is less or more than these extremes, the State's Federal share must be raised or lowered to the appropriate extreme.
If you plan to visit any of these countries, you can obtain your International Driving Permit before you leave at a nominal fee -- around $3.00.
but then Arlene got another tone in a hurry, and she said, `` If it wasn't for these dear children '' --.
If adjectival meanings show relatively low retentiveness of stems, as I am confident will prove to be the case in most languages of the world, why should our basic lists include 15 per cent of these unstable forms, but only 8 per cent of animals and plants which replace much more slowly??
If it could be shown that judgments of good and bad were not judgments at all, that they asserted nothing true or false, but merely expressed emotions like `` Hurrah '' or `` Fiddlesticks '', then these wayward judgments would cease from troubling and weary heads could be at rest.
If we were asked why we thought so, we should say that these things involve great evil and are wrong, and that to take delight in what is evil or wrong is plainly unfitting.
If there is nothing evil in these things, if they get their moral complexion only from our feeling about them, why shouldn't they be greeted with a cheer??
If the wedding party lasted late, and the travel schedule means there are only a few hours before resuming the trip or making an early start, the husband may forestall tensions and uncertainties by confiding to his bride that lying in each other's arms will be bliss enough for these few hours.
If these facilities are not at the door, getting them may cost more than you expect.
If the house is not wired adequately for electricity or if plumbing or a central heating system must be installed, check into the cost of making these improvements.
If we add to these contacts with friendly members the `` contacts with an organization of the church '' ( 11.2 per cent of the cases ), then a substantial two thirds of all recruitment is through friendly contact.
If we have not thought and made a decision entirely in these terms, then we need to submit ourselves to the following `` simple test '': `` Have we decided how we are to kill the other members of our household in the event of our being less injured than they are ''??
If I could put your body in an imaginary atomic press and squeeze you down, squeeze these holes out of you in the way we squeeze the holes out of a sponge, you would get smaller and smaller until finally when the last hole was gone, you would be smaller than the smallest speck of dust that you could see on this piece of paper.
If unchallenged, these decisions have the power to settle more minor legal disputes once and for all.
If these allegiances come into conflict, he or she may be guilty of treason against one or both.
If the demands of these two sovereigns upon his duty of allegiance come into conflict, those of the United States have the paramount authority in American law ; likewise, those of the foreign land have paramount authority in their legal system.

If and minima
If a ray tracing is then made as if a light wave ( as understood in classical physics ) is wide enough to take both paths, then that ray tracing will accurately predict the appearance of maxima and minima on the detector screen when many particles pass through the apparatus and gradually " paint " the expected interference pattern.
If the function is differentiable, the minima and maxima can only occur at critical points or endpoints.
If a function is continuous on a closed interval, then by the extreme value theorem global maxima and minima exist.
If the dynamical process can escape the well around the current minimum estimate it will not be trapped by other local minima that are higher.
If a graph is drawn to show the function corresponding to the total sound of two strings, it can be seen that maxima and minima are no longer constant as when a pure note is played, but change over time: when the two waves are nearly 180 degrees out of phase the maxima of each cancel the minima of the other, whereas when they are nearly in phase their maxima sum up, raising the perceived volume.
If the procedure employing these steps is successful then starting a single local optimization from each cluster would determine the local minima and thus also the global minimum.

If and match
If someone were to drop a match in here, this place would go up like a haystack ''.
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 there is a correct match for every case, the test suite is said to pass.
If the keys match, then a matching element has been found so its index, or position, is returned.
If a player is one point away from winning a match, that player's opponent will always want to double as early as possible in order to catch up.
If the checksums match, the data was almost certainly not altered.
If the team that batted second is substantially behind on first innings total, it may be required to bat again ( i. e., to immediately follow on from its first innings ) in the third innings of the match.
If the match duration is three or four days, the minimum lead is 150 runs.
If a match is drawn, there is a replay, usually at the ground of the team who were away for the first game.
If an ' extreme ' foul is committed, such as physical contact or unsportsmanlike behavior, a player may receive a 10 minute penalty or even a match misconduct.
If a siRNA is designed to match the RNA copied from a faulty gene, then the abnormal protein product of that gene will not be produced.
If a decision must be reached in a particular match ( e. g., in a tournament ) and it ends in a draw after regular time, there are at maximum two overtimes of 2 × 5 minutes with a 1-minute break each.
If the photo and name match the person, then the teller has authenticated that John Doe is who he claimed to be.
If the example filters were required to match the case of the attribute value, an extensible match filter must be used, for example,
If the molecule can be rotated in space so that the directions of those four groups match those of the analog groups in-glyceraldehyde's C2, then the isomer receives the '-' prefix.
If the attacker finds a match, he knows that his guess is the actual password for the associated user.
If a manager decides that his client wrestler should tap out, but cannot convince the wrestler himself to do so, he may throw in the towel ( literally taking a gym towel and hurling it into the referee's line of sight ); this is the same as a submission, as the manager is, in kayfabe, considered the wrestlers agent, and therefore, authorized to make formal decisions ( such as forfeiting a match ) on the client's behalf.
If all the active wrestlers in a match are down inside the ring at the same time, the referee will begin a count ( usually ten seconds, twenty in Japan ).
If nobody rises to their feet by the end of the count, the match is ruled a draw.
If all participants in a match continue to breach the referee's instructions, the match may end in a double disqualification, where both wrestlers or teams ( in a tag team match ) have been disqualified.
If the number of points at the end of the match isn't a whole number the score is rounded up to the nearest whole.
If the individual match or the team match has not ended, any unused penalty points can be transferred to the next game of that match.

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