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If and rotation
If the platform is not properly headed, the X-gyro input axis will see a component of the earth's rotation.
If the fletching is not arranged to induce rotation, it will still improve accuracy by causing a restoring drag any time the arrow tilts away from its intended direction of travel.
* If the balance factor of R is-1, a single left rotation ( with P as the root ) is needed ( Right-Right case ).
* If the balance factor of L is + 1, a single right rotation ( with P as the root ) is needed ( Left-Left case ).
If the rotation leaves the subtree's balance factor at 0 then the retracing towards the root must continue since the height of this subtree has decreased by one.
If the auction is passed out, i. e. no bids are made and only four passes are called, the hands are abandoned and the turn to deal passes in rotation.
If rotation is arrested, the energy stored in fashioning the concave surface must be dissipated, for example through friction, before an equilibrium flat surface is restored.
If the patient's eyes move in a direction opposite to the direction of the rotation of the head, then the patient is said to have an intact brainstem.
If the substituents are numbered from 1 ( highest priority ) to 4 ( lowest priority ), then the sense of rotation of a curve passing through 1, 2 and 3 distinguishes the stereoisomers.
If light pressure were the cause of the rotation, then the better the vacuum in the bulb, the less air resistance to movement, and the faster the vanes should spin.
If objects are seen as moving within a rotating frame, this movement results in another fictitious force, the Coriolis force ; and if the rate of rotation of the frame is changing, a third fictitious force, the Euler force is experienced.
The evidence was compiled by W de Sitter ( 1927 ) who wrote " If we accept this hypothesis, then the ' astronomical time ', given by the earth's rotation, and used in all practical astronomical computations, differs from the ' uniform ' or ' Newtonian ' time, which is defined as the independent variable of the equations of celestial mechanics ".
If we attribute its apparent rate of rotation entirely to rotation in an inertial frame, a different " flatness " is predicted than if we suppose part of this rotation actually is due to rotation of the Universe and should not be included in the rotation of the galaxy itself.
If the laws of physics agree more accurately with observations in a model with rotation than without it, we are inclined to select the best-fit value for rotation, subject to all other pertinent experimental observations.
If no value of the rotation parameter is successful and theory is not within observational error, a modification of physical law is considered.
If the position angle of the body's Prime Meridian increases with time, the body has a direct ( or prograde ) rotation ; otherwise the rotation is said to be retrograde.
If a child's top is tilted and spun rapidly, its rotation axis starts precessing rapidly about the vertical axis, so a point on the rotation axis appears to be executing a circular motion about the vertical axis.
If the speed of the rotation and the magnitude of the torque are constant, the axis will describe a cone, its movement at any instant being at right angles to the direction of the torque.

If and parameter
If X is Cauchy distributed with median μ and scale parameter γ, then the complex variable
If is a wrapped Cauchy distribution with the parameter representing the parameters of the corresponding " unwrapped " Cauchy distribution in the variable y where, then
If the parameter is denoted θ then the estimator is typically written by adding a " hat " over the symbol:.
If the parameter is the bull's-eye of a target, and the arrows are estimates, then a relatively high variance means the arrows are dispersed, and a relatively low variance means the arrows are clustered.
If the parameter is the bull's-eye of a target, and the arrows are estimates, then a relatively high absolute value for the bias means the average position of the arrows is off-target, and a relatively low absolute bias means the average position of the arrows is on target.
* If a pure function is called with parameters that cause no side-effects, the result is constant with respect to that parameter list ( sometimes called referential transparency ), i. e. if the pure function is again called with the same parameters, the same result will be returned ( this can enable caching optimizations such as memoization ).
If parameter e is smaller than one, e is the eccentricity and a the semi-major axis of an ellipse.
If we do not alter the system, then the parameter λ is unchanged from measurement to measurement ; if, on the other hand, we modulate the system by replacing the sample with a more radioactive one, then the parameter λ would increase.
If the parameter " dopefish " is added to the executable, a sample of burping is heard and Scott's Mystical Head is seen spinning in circles on the screen.
If the transmission line is uniform along its length, then its behaviour is largely described by a single parameter called the characteristic impedance, symbol Z < sub > 0 </ sub >.
( If the object represents a static field then the parameter is ignored and may be.
( If the object represents a static method then the first parameter is ignored and may be.
Based on Ginzburg – Landau theory, the free energy of a ferroelectric material, in the absence of an electric field and applied stress may be written as a Taylor expansion in terms of the order parameter, P. If a sixth order expansion is used ( i. e. 8th order and higher terms truncated ), the free energy is given by:
If a probability distribution depends on a parameter, one may on the one hand consider — for a given value of the parameterthe probability ( density ) of the different outcomes, and on the other hand consider — for a given outcome — the probability ( density ) this outcome has occurred for different values of the parameter.
If the output is considered as undefined if a parameter is undefined then < tt > pow ( 1, qNaN )</ tt > should produce a qNaN.
If a Gaussian proposal density is used the variance parameter has to be tuned during the burn-in period.
If we use primes for derivatives with respect to parameter t, then
If the true value of the cosmological curvature parameter is larger than 10 < sup >− 3 </ sup > we will be able to distinguish between these three models even now.
If X is a zeta-distributed random variable with parameter s, then the probability that X takes the integer value k is given by the probability mass function
* If then has a Bernoulli distribution with parameter.

If and were
If you were a man '' --
If she, Pamela, were being held responsible for his crimes, then hers must be the final act of expiation.
If someone were to drop a match in here, this place would go up like a haystack ''.
If the other pilots were worried, they did not show it.
If it were the enemy, tactically his position was correct.
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 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 there were only darkness, all would be clear.
If there were only the mess, all would be clear ; ;
If these people were denied a voice ( do they have a moral right to a voice??
If we were creating a wholly new society, we could insist that our social, political, economic and philosophic institutions foster rather than hamper man ; ;
If living Jews were unavailable for study, the Bible was at hand.
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 the Stearns were not there, grace would be omitted.
If anything, the conservative Democrats were more opposed to Hearst than the Republicans.
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.
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 the new Soviet series has followed the general pattern of previous Russian tests, the shots were roughly half fission and half fusion, meaning a fission yield of 30 to 40 megatons thus far.
If the Hessian troops sent here willy-nilly by the Hessian Government to fight for England in the 1770's were mercenaries, what shall we call the UN troops sent to the Congo willy-nilly by their governments to fight for the United Nations??
If the UN troops are not mercenaries then the Hessians were not mercenaries either.
If he were to go with White, he would be out there two days, not just listening in the dark at some point between here and Papa-san, but moving ever deeper into enemy land -- behind Papa-san -- itself.

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