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If and dot
If the dot product is zero, the two vectors are said to be orthogonal to each other.
If we view the DFT as just a coordinate transformation which simply specifies the components of a vector in a new coordinate system, then the above is just the statement that the dot product of two vectors is preserved under a unitary DFT transformation.
If the book itself, Animal Farm, had left any doubt of the matter, Orwell dispelled it in his essay Why I Write: ' Every line of serious work that I ’ ve written since 1936 has been written directly or indirectly against Totalitarianism ... dot, dot, dot, dot.
If the picture contains an area of the same color, it can be compressed without loss by saying " 200 red dots " instead of " red dot, red dot, ...( 197 more times )..., red dot.
If the generalized coordinates are represented as a vector and time differentiation is represented by a dot over the variable, then the equations of motion ( known as the Lagrange or Euler – Lagrange equations ) are a set of equations:
If both a and b have length equal to unity ( i. e., they are unit vectors ), their dot product simply gives the cosine of the angle between them.
If only b is a unit vector, then the dot product a · b gives || a || cos θ, i. e., the magnitude of the projection of a in the direction of b, with a minus sign if the direction is opposite.
If they started on the right side, they would instead hear a series of longer tones followed by short pauses, while the signal was on the " dot " side of the antenna.
If this dot of light is wider than any bar or space in the bar code, then it will overlap two elements ( two spaces or two bars ) and it may produce wrong output.
If the symbolic aircraft dot is above the horizon line ( blue background ) the aircraft is nose up.
If the symbolic aircraft dot is below the horizon line ( brown background ) the aircraft is nose down.
If an NDB has a problem, e. g. lower than normal power output, failure of mains power or standby transmitter is in operation, the NDB may be programmed to transmit an extra ' PIP ' ( a Morse dot ), to alert pilots and others that the beacon may be unreliable for navigation.
( E. g., first you draw a circle, then you dot the eyes, draw a great big smile, etc ....) If they memorize the song, which is easy to do because it is usually a catchy melody, effectively they have remembered how to draw what the song describes.
If we put the Philippines, it would be no more than a dot.
If we put in the Philippines it would be no more than a dot .” “ I want that dot !” Romy insisted.
If a white dot reaches the center, i. e. the location of the main characters, a battle will break out.
If a player makes a mistake, like mixing up the cow numbers, taking too long to respond, or calling the wrong number of spots ( explained below ), that player gets " spotted ", using the blackened cork to make a big round black dot on his face.
If p < sub > k − 1 </ sub > and p < sub > k </ sub > are two consecutive values, and if c is twice their dot product ( constant for all steps ), then the next value, p < sub > k + 1 </ sub >, is the reflection.

If and was
If, when this was all over, she found the words to tell him about it, she wondered if he would ever understand.
If you don't leave this country within 3 days, your life will be taken the same as Powell's was.
If we was both armed, you wouldn't talk so tough ''.
If it were the enemy, tactically his position was correct.
If the turn was too tight, a barrel roll would bring them out.
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 Franklin was an authentic genius, then Alexander Hamilton, with his exceptional precocity, consuming energy, and high ambition, was a political prodigy.
`` If you can conveniently let me have twenty dollars '', he wrote one friend in 1791 when he was Secretary of the Treasury.
If an automobile were approaching him, he would know what was required of him, even though he might not be able to act quickly enough.
If living Jews were unavailable for study, the Bible was at hand.
If there was ever a thought in her mind she might devote her life to religion, it was now dispelled.
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 she were not at home, Mama would see to it that a fresh white rose was there.
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 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.
If the historian was convinced of his own correctness, then he should not allow his vision to become fogged by disturbing facts.
If their schedules were to synchronize, there was no point in wasting time.
If he had any worries, it was only the small ones, about Mother in New York, and his daughter Edwina and what she might be doing at this hour, with her Aunt Asia, in Philadelphia.

If and be
If we let them go, they won't stay away, they'll find men to ride with them and they'll be back.
If she, Pamela, were being held responsible for his crimes, then hers must be the final act of expiation.
If I hadn't got Nate stopped when I did, my duds'd all be shot plumb to hell!!
`` If you will pardon, I think it would be better if not.
If he showed signs of collecting his rifle and going back with his deputy to the ranch he would be shot down instantly.
If the circumstances are faced frankly it is not reasonable to expect this to be true.
If communications work, his decision would be instantly known in all command posts that would originate the actual go order.
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
If the Union conceded this to them, the same right must be conceded to each remaining state whenever it saw fit to secede: This would destroy the federal balance between it and the states, and in the end sacrifice to the sovereignty of the states all the liberty the citizens had gained by their Union.
If life and death did not both present themselves to us, there would be no inscrutability.
If there were only darkness, all would be clear.
If there were only the mess, all would be clear ; ;
If he is good, he may not be legal ; ;
If the existent form is to be retained new factors that reinforce it must be introduced into the situation.
If I now risk some comparisons with Sons And Lovers let it be clear that I am not comparing the two works or judging their merits ; ;
If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.
If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.
If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.
If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.
If `` Jack the Courtier '' is really to be taken as Swift, the following remark is obviously Steele's comment on Swift's change of parties and its effect on their friendship: `` I assure you, dear Jack, when I first found out such an Allay in you, as makes you of so malleable a Constitution, that you may be worked into any Form an Artificer pleases, I foresaw I should not enjoy your Favour much longer ''.

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