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 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 it is not one of his best books, it can only be considered unsatisfactory when compared with his own Garibaldi.

If you look at a reading meant for someone else, you will probably see that many of the items could be considered as applicable to you, even when you were not in the picture at all!!

If the Onemen Bay is considered part of the river, it also receives the Velikaya River ( Chukotka ) from the south and the Kanchalan River from the north.

The photographer considered the impromptu self-introduction a prank and angrily answered his caller with the riposte, " If you're Charlie Chaplin, I'm Franklin Roosevelt!

If their existence past the K – T boundary can be confirmed, these hadrosaurids would be considered a Dead Clade Walking.

“ If you slaughter sheep, you will be considered guilty of a crime .” He issued a regulation to that effect ... 1279 / 1280 under Qubilai all the Muslims say: “ if someone else slaughters animal we do not eat ”.

If the ball hits the upright above the cross-bar before going through, it is not considered a dead ball, and the points are scored.

If the acquittal is thrown out, the new trial is not considered to be double jeopardy because the first trial and its judgment would have been annulled.

If a guest was considered a ' coward ' for dropping out of the game, he could be branded as a ' deserter ' and not invited back to further drinking bouts.

If the azeotrope is not considered sufficiently pure for use, there exist some techniques to break the azeotrope to give a pure distillate.

If the partition is removed, some molecules of A move towards the region occupied by B, their number depends on the number of molecules at the point considered.

To avoid debates about the possibility of in-vitro fertilization, artificial insemination, or cloning, the original Darwin Awards book applied the following " deserted island " test to potential winners: If the person were unable to reproduce when stranded on a deserted island with a fertile member of the opposite sex, he or she would be considered sterile.

If the ether is part of a more complex molecule, it is described as an alkoxy substituent, so-OCH < sub > 3 </ sub > would be considered a " methoxy -" group.

If the letter is not considered to be an authentic part of the Pauline corpus it might be dated during the late 1st century, possibly as late as 80 AD.

If the ball is carried by a player, it is considered a score when any part of the ball is directly above or beyond any part of the goal line between the pylons.

If the patient does not respond sufficiently to medical treatment, epilepsy surgery may be considered.

If any part of the ball reaches any part of the imaginary vertical plane transected by this line while in-bounds and in possession of a player whose team is striving toward that end of the field, this is considered a touchdown and scores six points for the team whose player has advanced the ball to, or recovered the ball in, this position.

If people are also free to move between the countries, in addition to FTA, it would also be considered an open border.

Likewise, a functor from G to the category of vector spaces, Vect < sub > K </ sub >, is a linear representation of G. In general, a functor G → C can be considered as an " action " of G on an object in the category C. If C is a group, then this action is a group homomorphism.

If fermentation is allowed to run to completion, the resulting wine will ( in most cases ) be low in sugar and will be considered a dry wine.

If the judiciary decides in favor of the government because the country is secular, they would be considered to be Muslim individuals acting under compelling circumstances.

# If not, the obverse and reverse will present two variants of the same design, one with the hoist on the left ( usually considered the obverse side, see flag illustrations ), the other with the hoist on the right ( usually considered the reverse side of the flag ).

If the executor is merely following a solution ( e. g. sketch, script or instructions ) provided by another designer ( such as an art director ), then the executor is not usually considered the designer.

If we are considering multiple operations on a set, then all operations must be preserved for a function to be considered as a homomorphism.