If the polarities are correct, the platform rotates in such a direction as to reduce the accelerometer output to zero.

If it is assumed that all color values are premultiplied by their alpha values (), we can rewrite the equation for output color as:

If, i. e., it has a large norm with each value of s, and if, then Y ( s ) is approximately equal to R ( s ) and the output closely tracks the reference input.

If u ( t ) is the control signal sent to the system, y ( t ) is the measured output and r ( t ) is the desired output, and tracking error, a PID controller has the general form

If a nation continues on this path without resistance, Gini claimed the nation would enter a final decadent stage where the nation would degenerate as noted by decreasing birth rate, decreasing cultural output, and the lack of imperial conquest.

If this output is then used as the clock signal for a similarly arranged D flip-flop ( remembering to invert the output to the input ), you will get another 1 bit counter that counts half as fast.

If the two input signals are both sinusoids of specified frequencies f < sub > 1 </ sub > and f < sub > 2 </ sub >, then the output of the mixer will contain two new sinsoids that have the sum f < sub > 1 </ sub > + f < sub > 2 </ sub > frequency and the difference frequency absolute value | f < sub > 1 </ sub >-f < sub > 2 </ sub >|.

If the gain is not constant, e. g., by clipping the output signal at the limits of its capabilities, the output signal will be distorted.

If high output powers are needed from a class-A circuit, the power waste ( and the accompanying heat ) will become significant.

If the firm is a perfect competitor in all input markets, and thus the per-unit prices of all its inputs are unaffected by how much of the inputs the firm purchases, then it can be shown that at a particular level of output, the firm has economies of scale if and only if it has increasing returns to scale, has diseconomies of scale if and only if it has decreasing returns to scale, and has neither economies nor diseconomies of scale if it has constant returns to scale.

If the magnetic field is applied by a solenoid, the sensor output is proportional to the product of the current through the solenoid and the sensor voltage.

In mathematics, an inverse function is a function that undoes another function: If an input x into the function ƒ produces an output y, then putting y into the inverse function g produces the output x, and vice versa.

* If the price is between average total cost and average variable cost at the profit-maximizing output, then the firm is said to be in a loss-minimizing condition.

* If the price is below average variable cost at the profit-maximizing output, the firm should go into shutdown.

If a and b are distances from the fulcrum to points A and B and if force F < sub > A </ sub > applied to A is the input force and F < sub > B </ sub > exerted at B is the output, the ratio of the velocities of points A and B is given by a / b, so the ratio of the output force to the input force, or mechanical advantage, is given by

If the distance from the fulcrum to the input force is less than from the fulcrum to the output force, then the lever reduces the input force.

If the desired output values are often incorrect ( because of human error or sensor errors ), then the learning algorithm should not attempt to find a function that exactly matches the training examples.

If each of the features makes an independent contribution to the output, then algorithms based on linear functions ( e. g., linear regression, logistic regression, Support Vector Machines, naive Bayes ) and distance functions ( e. g., nearest neighbor methods, support vector machines with Gaussian kernels ) generally perform well.

If the inverting input is held at ground ( 0 V ) directly or by a resistor, and the input voltage V < sub > in </ sub > applied to the non-inverting input is positive, the output will be maximum positive ; if V < sub > in </ sub > is negative, the output will be maximum negative.

If there is an uneven number of couples dancing, the bottom-most couple will wait out the first time through the dance.

" If couples do not get married then their wages do not have to combine and the EITC in a way is " paying for " low-income couples not to marry.

If most of the figures are danced between facing couples across the set, as in the 19th century quadrille and dances derived from it, the couple opposite the first is the " second couple ".

If most figures are danced around the set, with one or more couples visiting the others in turn, the couples are likewise numbered around the set.

If considered separate from couples without children, single-parent families, or unmarried couples with children, in the United States traditional nuclear families appear to constitute a minority of households with rising prevalence of other family arrangements.

If n couples go to a party, and each person shakes hands with every person except his or her partner, then this graph describes the set of handshakes that take place ; for this reason it is also called the cocktail party graph.

If all the tied couples went over, the couple who had the closest guess won.

If two couples answered correctly or incorrectly, this tie-breaker will be repeated with a new question.

If the legislature fails to act on the issue within the 90 days, licenses to same-sex couples will resume.

If the couples were tied going into this round, each couple had two pucks, and the challengers went first.

If passed, the amendment would have restricted future marriages to opposite-sex couples but would not have invalidated the approximately 8, 000 same-sex marriage licenses already issued.

If in the rare case that both the second and third place couples had tied on equal points ( prior to series 7 ), then both would be asked if they wanted to gamble.

If answered wrong, the amount on the first wheel was deducted from the score ; however, couples did not go below 0.

If passed, Proposition 8 would " change the California Constitution to eliminate the right of same-sex couples to marry in California.

If this leads you to think of all the successful couples in which the partners differ greatly in physical attractiveness, it is likely that the less attractive partner has compensating qualities to offer.

If the law is determined not to apply to same-sex couples, the suit challenges the prohibition on a constitutional basis.

If New Jersey were to give same-sex couples the right to marry, that is marriage itself and not civil unions, the State would likely experience a surge in spending on weddings by same-sex couples who currently live in New Jersey, as well as an increase in wedding and tourist spending by same-sex couples from other states.

If the neutrino is a Majorana particle, then we may assume that besides the left-handed neutrino, which couples to its family charged lepton in weak charged currents, there is also a right-handed sterile neutrino partner " NHL ", which is a weak isosinglet and does not couple to any fermions or bosons directly.

If non-married couples were excluded, there would be no obligation for enrollment based on a Dutch same-sex marriage .< ref name = CAO ></ br >

If a child watched its progress he whispered, `` Hay, hay, load of hay -- make a wish and turn away '', and then stared rigidly in the opposite direction until the sound of the horses' feet returned no more.

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 ''.

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, 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 there were no West Berlin problem, imperialist quarters would have invented an excuse for stepping up the armaments race to try to solve the internal and external problems besetting the United States and its NATO partners.

If you do use a cold frame be sure that its ventilation is adequate.

If the temperature is controlled properly, the avocado will delay its ripening until needed.

If the target can change its position significantly during the 30 minutes the missile is in the air on its way, the probability of the missile destroying the target is drastically reduced.

If you can't see your way clear to have summer cooling included when building, by all means make provision for its easy adding later.

If a nation wished to get a head start in physical fitness over all other nations, it would start its kindergarten students on a program of gymnastics the day they entered and thus eliminate a large number of the problems that plague American schools.

If you have a higher-quality product, how can you make it stand out -- justify its premium price -- without the spoken word??

If this seems arbitrary, its effect was to treat citizens of the District of Columbia equally with citizens of the states -- at the expense of expanding a troublesome jurisdiction.

If the transferor has substantial assets other than the claim, it seems reasonable to assume no corporation would be willing to acquire all of its properties in the dim hope of collecting a claim for refund of taxes.

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, however, the figure to be discerned were complicated, composed of several interlocking subfigures, and so on, even the tracing process failed him, and he could not focus even relatively simple shapes among its parts.

If it failed on occasion to elect its candidates for general state offices by majorities, the failure was due to a lingering remnant of the Know-Nothing party, which called itself the American Republican party.

If T is the total `` length '' of the process, its feed state may be denoted by a vector p(T) and the product state by p(Q).

If anti-Semitism was on trial in Jerusalem, why was it not identified, and with enough emphasis to capture the notice of the world press, in its connection with the activities of Eichmann's Department of Jewish Affairs, as exemplified by the betrayal and murder of Jews by non-police and non-party anti-Semites in Germany, as well as in Poland, Czechoslovakia, Hungary??

If, as a home movie maker, you shoot the inevitable footage of your child taking its first steps, you have merely recorded an historical event.

If death receives more than its share of attention from the theologian and if sin receives less than its share, the gift of the life eternal through Christ begins to look like the divinely appointed means of rescue from temporal, i.e., created, existence.

The next traditional step then was to accept it as the authoritative textbook of the Christian faith just as one would accept a treatise on any earthly `` science '', and I submitted to its conditions according to Christ's invitation and promise that, `` If any man will do his will, he shall know of the doctrine, whether it be of God, or whether I speak of myself '' ( John 7: 17 ).

If a man totally ignorant of America were to judge our land and its civilization based on Hollywood alone, what conclusions do you think he might come to??