Thus a circular geosynchronous orbit has a radius of 42164 km ; 42164 / 6378. 1

( Thus Aristotle first suggested a reciprocal or circular causality-as a relation of mutual dependence, action, or influence of cause and effect.

Thus, it results in a circular chain.

Thus to move from one circular orbit to another, at least two brief applications of thrust are needed.

Thus, the circular keyspace is split into contiguous segments whose endpoints are the node identifiers.

Thus if a cone emitted with an initially circular ( or spherical ) cross-section becomes distorted into an ellipse ( ellipsoid ), it is possible for the volume distortion to vanish if the distortions along the principal axes counteract one another.

Thus, Uechi Ryū is also heavily influenced by the circular motions which belong to the kung fu from Fujian province.

Thus, a particle injected into a dipole magnet will travel on a circular or helical trajectory.

Thus the 3-sphere is realized as a disjoint union of these circular fibers.

Thus the total surface area of a right circular cone is:

Thus if cubic units is the volume of the right circular cylinder, by Riemann sums,

Thus both arms have a field argent, both use a chief, which is filled with three circular or near circular devices-bezants and escallops.

Thus, whereas KSHV genome is circular in the nucleus of latently infected cells, it is packaged into infectious viruses as a linear molecule.

Thus, the cross-section of a metal pipe is usually circular.

Thus Einstein was led to consider the collective motion of Brownian particles.

Thus, a catalyst that could change the equilibrium would be a perpetual motion machine, a contradiction to the laws of thermodynamics.

Thus the analysis using Newton's laws of motion can proceed as if the reference frame was inertial, provided the fictitious force terms are included in the sum of external forces.

Thus, interlaced video captures samples the scene motion twice as often as progressive video does, for the same number of frames per second.

Thus, measurement of the tension in the string identifies the inertial frame: it is the one where the tension in the string provides exactly the centripetal force demanded by the motion as it is observed in that frame, and not a different value.

Thus the Commons can remove such an officer through a motion of no confidence without a long, drawn-out impeachment.

Thus the Motorola brand was meant to indicate " sound in motion.

Thus, simple harmonic motion is a type of periodic motion.

Thus a more detailed analysis of the bubble's motion is needed beyond Rayleigh-Plesset to explore the additional energy focusing that an internally formed shock wave might produce.

Thus " Mars " involves motion and " Neptune " is static ; " Venus " is sublime while " Uranus " is vulgar, and " Mercury " is light and scherzando while " Saturn " is heavy and plodding.

Thus the rotation of a rigid body over a fixed axis is referred to as rotational motion.

Thus the motion is transmitted as if by the links of a chain, the " dog-teeth " mutually engaging with each other, so that by due revolution everything comes back to its original starting point ( ti hsiang kou so, chhuan ya hsiang chih, chou erh fu shih ).

Thus the speed of the diurnal motion of a celestial object is this cosine times 15 °/ hr

This happens because a magnetic field is produced by an electric current, J, which reverses sign under T. Thus, the motion of classical charged particles in electromagnetic fields is also time reversal invariant.

Thus there is a reciprocal link between the god of beginnings and unending motion, who bestows life to the beings of this world ( Cerus Manus ) as well as presiding over its end, and the goddess of the hearth of man, which symbolises through fire the presence of life.

Thus, in cases of very viscous flows ( e. g. Couette Flow ), the vorticity will be diffused throughout the flow field and it is probably simpler to look at the velocity field ( i. e. vectors of fluid motion ) rather than look at the vorticity field ( i. e. vectors of curl of fluid motion ) which is less intuitive.

Thus, in the Aristotelian view, a projectile moving through the air would owe its continuing motion to eddies or vibrations in the surrounding medium, a phenomenon known as antiperistasis.

Thus if one applies light from two opposite directions, the atoms will always scatter more photons from the laser beam pointing opposite to their direction of motion.

Thus the coordinate systems most used in astronomy need their own date-reference because the coordinate systems of that type are themselves in motion, e. g. by the precession of the equinoxes, nowadays often resolved into precessional components, separate precessions of the equator and of the ecliptic.

Thus the motion of no confidence is required to be at the same time as a motion of confidence for a new candidate ( this variation is called a constructive vote of no confidence ).

Thus knowing when to use a motion of no confidence is a matter of political judgement ; using a motion of no confidence on a relatively trivial matter may prove counterproductive to its proposer if a more important issue suddenly arises which warrants a motion of no confidence, because a motion cannot be proposed if one had been voted on recently and cannot be proposed again for a number of months.

Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.

Thus jazz is transmuted into something holy, the sacred road to integration of being.

Thus the fictional detective is much more than a simple businessman.

Thus the cocktail party would appear to be the ideal system, but there is one weakness.

Thus in both types attention is focused on the community itself, and its phenomenological life.

Thus, it is no mystical intuition, but an analyzable conception to say that man and his tradition can `` fall out of existence ''.

Thus human perception and human volition is the immanent cause of all social change and this most truly when the change reaches the civilizational level.

Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.

Thus the copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.

Thus there is a clearer division of authority, administrative and legislative.

Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.

Thus, the need for the B-70 as a strategic weapon system is doubtful.

Thus technical efficiency is achieved at the expense of actual experience.

Thus, there is an added incentive to stay on the job.

Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.

Thus T is not diagonalizable.

Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

Thus in the three-dice example Af, Af, and the independence assumption imply that the probability that the three dice fall ace, not-ace, ace in that order is Af.

Thus we do not score the number of bull's-eyes, and the random variable is not the number of successes.

Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

Thus Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.