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If and remainder
" If the remainder of the Conservative Party could muster the electoral support necessary to form a government, then Disraeli was now guaranteed high office.
If the ideals A and B of R are coprime, then AB = A ∩ B ; furthermore, if C is a third ideal such that A contains BC, then A contains C. The Chinese remainder theorem is an important statement about coprime ideals.
If f is a polynomial and p is big enough, then the remainder term vanishes.
# If the remainder from dividing N by 6 is not 2 or 3 then the list is simply all even numbers followed by all odd numbers ≤ N
# If the remainder is 2, swap 1 and 3 in odd list and move 5 to the end ( i. e. 3, 1, 7, 5 )
# If the remainder is 3, move 2 to the end of even list and 1, 3 to the end of odd list ( i. e. 4, 6, 8, 2-5, 7, 9, 1, 3 )
If b ≡ a ( mod n ), where n > 0, then if the remainder b is calculated
If is a natural number, then 1 and divide without remainder.
If such a condition does occur, the property reverts to the grantor, or a remainder interest is passed on to a third party.
If a senator died, resigned, or was expelled, the legislature of the state would appoint a replacement to serve out the remainder of the senator's term.
If that is not the case, then the remainder is called balloon maturity.
If you pick up the pile as a result of laying the last card in your hand, or laying one of your face up cards, then you may pick up the remainder of your face up cards.
If the Elder chooses to take fewer than the maximum, she may then look at the remainder from the five ( which are the first ones that the Younger will take ).
If the original sentence exceeded eight years, they were forced to stay as residents for the remainder of their lives and were provided land to settle on.
If a president is found guilty, he is removed from office and replaced by the vice president for the remainder of the term.
After Nag's Head landlord Mike was imprisoned for embezzlement in the episode " If They Could See Us Now ", Sid took over and kept that role for the remainder of the series.
If the head cloth remained in the same location as the remainder of the clothes, and if these remained where the body had been, it implies that Jesus ' body was lifted through the clothing, or that Jesus ' body de-materialised and re-materialised elsewhere, hence supporting more docetic interpretations.
: If there is no remainder the check digit is 0, otherwise the remainder value is subtracted from 11 to give the check digit:
* A large number of constituencies compared with the total number of seats — If too many seats are used for constituencies, the remainder are less likely to ensure strict proportionality.
If the fugitive eludes bail, the bondsman, not the bounty hunter, is responsible for the remainder of the fugitive's bail.
If a fictional treatment costs a total of GBP 45, 000 at today's value and increases a person's quality of life ( QoL ) from 0. 5 to 0. 6 for the remainder of their life from age 70 and onwards, and their expected lifespan increases from 73 to 75.
If the last remainder when we ran out of dividend digits had been something other than 0, there would have been two possible courses of action.
If R ( x ) is the remainder when P ( x ) is divided by ( x – r )< sup > 2 </ sup > — that is, by x < sup > 2 </ sup > – 2rx + r < sup > 2 </ sup > — then the equation of the tangent line to P ( x ) at x

If and is
If the circumstances are faced frankly it is not reasonable to expect this to be true.
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 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 they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;
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 is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.
If it is an honest feeling, then why should she not yield to it??
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 love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.
If he is good, he may not be legal ; ;
If the man on the sidewalk is surprised at this question, it has served as an exclamation.
If the existent form is to be retained new factors that reinforce it must be introduced into the situation.
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 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 he is a traditionalist, he is an eclectic traditionalist.
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 to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.

If and zero
If the polarities are correct, the platform rotates in such a direction as to reduce the accelerometer output to zero.
If the polarity is correct, the platform will turn until the heading error angle is zero.
If the minimum legal value for every index is 0, then B is the address of the element whose indices are all zero.
If the path of the particle or centre of mass of the rigid body passes through the given origin, its angular momentum is zero.
If all four players pass in the first round, the deal is not played ; in rubber bridge the deal is not scored and the hand is redealt by the original dealer, while in duplicate the score is recorded as zero for each pair and returned to the board.
If the remaining array to be searched is reduced to zero, then the key cannot be found in the array and a special " Not found " indication is returned.
If we attempt to use the above formula to compute the derivative of f at zero, then we must evaluate 1 / g ′( f ( 0 )).
If they are successful, they receive two points, if they are not, then they receive zero points.
If a simply stable system response neither decays nor grows over time, and has no oscillations, it is marginally stable: in this case the system transfer function has non-repeated poles at complex plane origin ( i. e. their real and complex component is zero in the continuous time case ).
If the desired user's code has nothing in common with the signal the correlation should be as close to zero as possible ( thus eliminating the signal ); this is referred to as cross correlation.
If the code is correlated with the signal at any time offset other than zero, the correlation should be as close to zero as possible.
If the dot product is zero, the two vectors are said to be orthogonal to each other.
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 h is negative, then a + h is on the low part of the step, so the secant line from a to a + h is very steep, and as h tends to zero the slope tends to infinity.
If h is positive, then a + h is on the high part of the step, so the secant line from a to a + h has slope zero.
If a vector field F with zero divergence is defined on a ball in R < sup > 3 </ sup >, then there exists some vector field G on the ball with F = curl ( G ).
If they fail to perform the dive announced, even if they physically cannot execute the dive announced or if they perform a more difficult dive, they will receive a score of zero.
If a dive is performed which is as submitted but not as ( incorrectly ) announced, it is declared failed and scores zero according to a strict reading of the FINA law.
If an explosive molecule contains just enough oxygen to convert all of its carbon to carbon dioxide, all of its hydrogen to water, and all of its metal to metal oxide with no excess, the molecule is said to have a zero oxygen balance.
If the moments of the aligned and anti-aligned ions balance completely so as to have zero net magnetization, despite the magnetic ordering, then it is an antiferromagnet.
If the arguments are both greater than zero then the algorithm can be written in more elementary terms as follows:
If a and b are not both zero, the greatest common divisor of a and b can be computed by using least common multiple ( lcm ) of a and b:
If this rule is interpreted as saying that straight-line motion is an indication of zero net force, the rule does not identify inertial reference frames, because straight-line motion can be observed in a variety of frames.

0.914 seconds.