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Page "Inertial frame of reference" ¶ 39
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For and any
For the answer cannot be derived from any socially cohesive element in the disrupting community.
For the truth formerly experienced by the community no longer has existential status in the community, nor does any answer elaborated by philosophers or theoriticians.
William Wimsatt and Cleanth Brooks, it seems to me, have a penetrating insight into the way in which this control is effected: `` For if we say poetry is to talk of beauty and love ( and yet not aim at exciting erotic emotion or even an emotion of Platonic esteem ) and if it is to talk of anger and murder ( and yet not aim at arousing anger and indignation ) -- then it may be that the poetic way of dealing with these emotions will not be any kind of intensification, compounding, or magnification, or any direct assault upon the affections at all.
For if Serenissimus made the sign of the Cross with his right hand, and meant it, with his left he beckoned lewdly to any lady who happened to catch his eye.
For them only a little more needed to be learned, and then all physical knowledge could be neatly sorted, packaged and put in the inventory to be drawn on for the solution of any human problem.
For one thing, there wasn't going to be any ceremony at all this year.
For that reason any democratic reform and effort to bring genuine representative government to the Dominican Republic will need the greatest sympathy and help.
For those communities which have financial difficulties in effecting adjustments, there are a number of alternatives any one of which alone, or in combination with others, would minimize if not even eliminate the problem.
For United States expenditures under subsections ( A ), ( B ), ( D ), ( E ), ( F ), ( H ) through ( R ) of Section 104 of the Act or under any of such subsections, the rupee equivalent of $200 million.
For the making of selections on the basis of excellence requires that any foundation making the selections shall have available the judgments of a corps of advisors whose judgments are known to be good: such judgments can be known to be good only by the records of those selected, by records made subsequent to their selection over considerable periods of time.
For the near term, however, it must be realized that the industrial and commercial market is somewhat more sensitive to general business conditions than is the military market, and for this reason I would expect that any gain in 1961 may be somewhat smaller than those of recent years ; ;
For any house.
For proper accreditation of schools, teachers in any course must have a degree at least one level above that for which the student is a candidate.
For any such square the middle corner of these will be called the vertex of the square and the corner not on the curve will be called the diagonal point of the square.
For the lines of any plane, **yp, meeting Q in a conic C, are transformed into the congruence of secants of the curve C' into which C is transformed in the point involution on Q.
For any pencil in a plane containing a Af-fold secant of **zg has an image regulus which meets the plane of the pencil in Af lines, namely the images of the lines of the pencil which pass through the intersection of **zg and the multiple secant, plus an additional component to account for the intersections of the images of the general lines of the pencil.
For any choice of admissible policy Af in the first stage, the state of the stream leaving this stage is given by Af.
For in the modern world neither `` spirit '' nor `` matter '' refer to any generally agreed-upon elements of experience.
For in Christ Jesus neither circumcision nor uncircumcision but a new creation is of any account.
For example for any ( even infinite ) collection of pairs of shoes, one can pick out the left shoe from each pair to obtain an appropriate selection, but for an infinite collection of pairs of socks ( assumed to have no distinguishing features ), such a selection can be obtained only by invoking the axiom of choice.
: For any set X of nonempty sets, there exists a choice function f defined on X.
: For any set A, the power set of A ( with the empty set removed ) has a choice function.
: For any set A there is a function f such that for any non-empty subset B of A, f ( B ) lies in B.

For and inertial
For purely inertial navigators, two techniques are available to accomplish the platform heading: Use of external or surveying equipment to establish proper heading ; ;
For the case of a purely inertial autonavigator consisting of three restrained gyros, a coordinate system is used where the sensitive axis of the X accelerometer is parallel to the east-west direction at the base point, and the Y accelerometer sensitive axis is parallel to the north-south direction at the base point.
For the following formalism, the rotating frame of reference is regarded as a special case of a non-inertial reference frame that is rotating relative to an inertial reference frame denoted the stationary frame.
For example, consider a stationary object in an inertial frame.
For example, an observer confined in a free-falling lift will assert that he himself is a valid inertial frame, even if he is accelerating under gravity, so long as he has no knowledge about anything outside the lift.
For a relationist there can be no real difference between inertial motion, in which the object travels with constant velocity, and non-inertial motion, in which the velocity changes with time, since all spatial measurements are relative to other objects and their motions.
( For a modern attempt, see the Polywell inertial electrostatic confinement design by Robert Bussard.
For ground operations the inertial platform was aligned and gyro correction rates updated.
For example, an object with negative inertial mass and positive electric charge would accelerate away from objects with negative charge, and towards objects with positive charge, the opposite of the normal rule that like charges repel and opposite charges attract.
For example, in the framework of special relativity the Maxwell equations have the same form in all inertial frames of reference.
For its intended role as an updating system for SLBM launch, TRANSIT sufficed, since submarines took periodic fixes to re-set their inertial guidance system, but TRANSIT lacked the ability to provide high-speed, real-time position measurements.
For moving massive particles in a system, examining the rest masses of the various particles also amounts to introducing many different inertial observation frames ( which is prohibited if total system energy and momentum are to be conserved ), and also when in the rest frame of one particle, this procedure ignores the momenta of other particles, which affect the system mass if the other particles are in motion in this frame.
For the special type of mass called invariant mass, changing the inertial frame of observation for a whole closed system has no effect on the measure of invariant mass of the system, which remains both conserved and invariant even for different observers who view the entire system.
For example, the special theory of relativity assumes an inertial frame of reference.
For example funding for research into inertial confinement fusion technology increased during 1970s.
For an object where both the inertial and gravitational masses were negative and equal, we could cancel out and from the equation, and conclude that its acceleration a in the gravitational field from a body with positive active gravitational mass ( say, the planet Earth ) would be no different from the acceleration of an object with positive passive gravitational and inertial mass ( so a small negative mass object would fall towards the Earth at the same rate as any other object ).
For example, an accelerometer on a rocket far from any gravitational influences ( assume gravitation is zero ) that is accelerating through space due to the force from its engine, will measure the rate of change of the velocity of the rocket relative to any inertial frame of reference, because such changes require application of a ( rocket ) force that can be felt ( as weight ), for any mass.
For the practical purpose of finding the acceleration of objects with respect to the Earth, such as for use in an inertial navigation system, a knowledge of local gravity is required.
For example, The Pride of Chanur begins with the dock grapples at the prow ; then follows the habitat with the carousel which rotates during inertial flight to provide gravity.
For a number of reasons it was decided to use the simulated output of the inertial reference system, not the system itself or its detailed simulation.
For very high velocities in porous media, inertial effects can also become significant.
For a point particle not subject to external forces ( i. e., one undergoing inertial motion ), the relativistic action is

0.223 seconds.