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Page "Cauchy–Riemann equations" ¶ 48
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If and 1b
If the energy comes from Source 1b, Sensor 1 is doing the equivalent of photography by flash.

If and hold
If you hold property for the production of rents or royalties you subtract, in computing Adjusted Gross Income, ordinary and necessary expenses and certain other deductions attributable to the property.
If the direct-sum decomposition ( A ) is valid, how can we get hold of the projections Af associated with the decomposition??
If 500 Japanese were ordered to hold a position, we had to kill 495 before it was ours -- and then the last five killed themselves ''.
If some of you might have scruples against the first 14 July, they certainly hold none against the second.
Thus, in 1964, in A Hard Day's Night, John Lennon mischievously taunts the road manager with the line “ If you're gonna have a barney, can I hold your coat ?".
If these conditions do not hold, the formula describes a more general affine transformation of the plane provided that the determinant of A is not zero.
If it is assumed that social change is not only affected, but in some points of view, directed by the advancement of technology, is it ethical to hold these technologies from certain people?
If it is equal to market price hold the share and if it is less than the market price sell the shares.
If all these hold, then the coordinate systems are said to be in standard configuration.
If cave art is ambiguous on this matter then cuneiform inscriptions which hold the earliest writings seem to have been initially for non-fiction.
If the assumptions hold then:
If the court believes that developments or trends in legal reasoning render the precedent unhelpful, and wishes to evade it and help the law evolve, it may either hold that the precedent is inconsistent with subsequent authority, or that it should be distinguished by some material difference between the facts of the cases.
If the referee reaches the count of five, and the wrestler still does not break the hold, he is disqualified.
If a wrestler has secured a rope break from a submission hold, and the offending wrestler does not break the hold on the count of five, causing the offending wrestler to lose automatically, it is still considered a disqualification ( which is kept distinct from countouts in most major promotions ), even though the automatic loss was procured through counting.
If the opponent in the hold begins to tap out at the same time a referee counts to three for pinning the opponent delivering the hold, both opponents have legally achieved scoring conditions simultaneously.
President Hugo Chávez has repeatedly expressed his disapproval of the practice of kidnapping stating on 14 April that, " If I were a guerrilla, I wouldn't have the need to hold a woman, a man who aren't soldiers ... Free the civilians who don't have anything to do with the war.
At least two assumptions are necessary for the validity of the standard model: first, that supply and demand are independent ; and second, that supply is " constrained by a fixed resource "; If these conditions do not hold, then the Marshallian model cannot be sustained.
If he did not, heaven would withdraw its mandate restored order would hold the new mandate.
If X is totally ordered under ≤, then the following statements hold for all a, b and c in X:
If the conditions of the law of large numbers hold, s < sup > 2 </ sup > is a consistent estimator of σ < sup > 2 </ sup >.
If certain quantum inequalities conjectured by Ford and Roman hold, then the energy requirements for some warp drives may be absurdly gigantic as well as negative, for example the energy equivalent of − 10 < sup > 64 </ sup > kg might be required to transport a small spaceship across the Milky Way galaxy.
If you hold the squelch open you will get continuous noise.

If and for
If he had married her, he'd have been asking for trouble.
If she, Pamela, were being held responsible for his crimes, then hers must be the final act of expiation.
I showed her the shower and tub, and she said, smiling, `` If you really don't mind, I think I'll get clean in the shower, then soak for a few minutes in your tub.
If it were not for an old professor who made me read the classics I would have been stymied on what to do, and now I understand why they are classics ; ;
If it were not that I knew who it was I could have mistaken it for my Aunt so well did her clothes fit him.
`` If Blue Throat has his way he'll keep us all cooped up in here for days '', he said.
If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.
If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.
If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.
If living Jews were unavailable for study, the Bible was at hand.
If he had been `` liquidated '' in some way, he would have become a martyr, a rallying point for people who shared his ideas.
If we examine the three types of change from the point of view of their internal structure we find an additional profound difference between the third and the first two, one that accounts for the notable difference between the responses they evoke.
If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??
If we grasp this opportunity to build an age of productive partnership between the less fortunate nations and those that have already achieved a high state of economic advancement, we will make brighter the outlook for a world order based upon security and freedom.
`` If you become a Baptist, I will not '', Ann informed her husband, but sweeping her threat aside Adoniram continued to search for an answer to the personal dilemma in which he found himself.
Defoe then commented, `` If they Could Draw that young Gentleman into Their Measures They would show themselves quickly, for they are not asham'd to Say They want only a head to Make a beginning ''.
If his scholarship and formal musicianship were not all they might have been, Mercer demonstrated at an early age that he was gifted with a remarkable ear for rhythm and dialect.
If only for this modest masterpiece of military history, Blenheim is likely to be read and reread long after newer interpretations have perhaps altered our picture of the Marlborough wars.
If, as Reid says, `` nearly all his poetry was produced when he was not taking opium '', there may be some reason to doubt that he was under its influence in the period from 1896 to 1900 when he was writing the poems to Katie King and making plans for another book of verse.
If Robinson was a liar and a slanderer, he was also a very canny gentleman, for nothing that Pike could do would pry so much as a single word out of him.
If Gorton wanted peace and quiet for his complicated meditations this is where he should have had it.
If she wanted to borrow any sum of money in expecting the arrangements of Congress, it would not become a stranger, unknown to her, to offer himself for that purpose.
If the hardships of the winter at Valley Forge were trying for healthy men, they were, of course, much more so for those not in good health.
If his circumspection in regard to Philip's sensibilities went so far that he even refused to grant a dispensation for the marriage of Amadee's daughter, Agnes, to the son of the dauphin of Vienne -- a truly peacemaking move according to thirteenth-century ideas, for Savoy and Dauphine were as usual fighting on opposite sides -- for fear that he might seem to be favoring the anti-French coalition, he would certainly never take the far more drastic step of ordering the return of Gascony to Edward, even though, as he admitted to the English ambassadors, he had been advised that the original cession was invalid.

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