Thus, one nucleus offers a more tightly bound position to an electron than does another nucleus, with the result that one atom may transfer an electron to the other.

Thus, is the result of applying the rule to.

Thus the adverb-adjective " effective " is used in a sense of " 1a: producing a decided, decisive, or desired effect ", and " capable of producing a result ".

Thus query optimization typically tries to approximate the optimum by comparing several common-sense alternatives to provide in a reasonable time a " good enough " plan which typically does not deviate much from the best possible result.

Thus query optimization typically tries to approximate the optimum by comparing several common-sense alternatives to provide in a reasonable time a " good enough " plan which typically does not deviate much from the best possible result.

Thus, the conservation of electric charge, as expressed by the continuity equation, gives the result:

Thus, a Good attribute is considered to be Great if you were to roll two plus sides, one minus side, and one blank — the minus side cancels out one of the plus sides and the remaining plus side raises the result by one step.

Thus we have the important result that when a discrete data sequence, s, is proportional to samples of an underlying continuous function, s ( t ), one can deduce something about the continuous Fourier transform, S ( ƒ ).

Thus, the monetary model predicts that the velocity of money will increase as a result of an excessive increase in the money supply.

Thus as a result of the three Carnatic Wars, the British East India Company gained exclusive control over the entire Carnatic region of India.

Thus, a too high or too low temperature will result in stellar instability.

Thus the formation of the Monty Python troupe has been referred to as a result of Cleese's desire to work with Palin and the chance circumstances that brought the other four members into the fold.

Thus, mediation is more likely to produce a result that is mutually agreeable for the parties.

Thus if we wish to claim that no-cloning is a uniquely quantum result, some care is necessary in stating the theorem.

Thus, weaker cases result in more lenient plea bargains, and stronger ones in relative harshness, but both result in an agreement.

Thus, for example, MOVEI A, 3 ( C ) adds 3 to the 18 lower bits of register C and puts the result in register A, without touching memory.

The rule is that “ n actor ’ s liability is limited to those physical harms that result from the risks that made the actor ’ s conduct tortious .” Thus, the operative question is " what were the particular risks that made an actor's conduct negligent?

Thus the solution is 2, not ½ as would be the result of an incorrect analysis.

Thus, measuring a quantum state described by complex coefficients ( a, b ,..., h ) gives the classical probability distribution and we say that the quantum state " collapses " to a classical state as a result of making the measurement.

Thus DA means that a cocking action separate from the trigger pull is unnecessary ; and every trigger pull will result in a complete cycle.

Thus, it is not enough to demonstrate that you have suffered the wrong in order to win a tort case, you must also have legally recognized damages that were directly or indirectly caused by the tortfeasor as a result of the tort, and be able to prove the extent of those damages.

Thus, although Buddhas possess no limitation from their side on their ability to help others, sentient beings continue to experience suffering as a result of the limitations of their own former negative actions.

Thus the secular power of the Bishop of Rome, i. e., the Pope, was reduced to one square mile, the smallest sovereign nation on earth ( as a result of the 1929 Lateran Treaty which established a Concordat between Vatican City and the nation of Italy ).

Thus, a few volts ' difference at the grid would make a large change in the plate current and could lead to a much larger voltage change at the plate ; the result was voltage and power amplification.

Thus Jansky suspected that the hiss originated well beyond the Earth's atmosphere, and by comparing his observations with optical astronomical maps, Jansky concluded that the radiation was coming from the Milky Way Galaxy and was strongest in the direction of the center of the galaxy, in the constellation of Sagittarius.

Thus the Earth's " conservative potency " ( virtus conservativa ) provided the explanation for the fact that the Earth retains its atmosphere though travelling through space.

Thus phytoplankton are responsible for much of the oxygen present in the Earth's atmosphere – half of the total amount produced by all plant life.

Thus, when meteoroids meet the Earth's atmosphere head-on ( which would only occur if the meteors were in a retrograde orbit ), the combined speed may reach about 44 miles per second ( 71 kilometers per second ).

Thus, the Earth's continents marched steadily westward around the globe.

Thus, to enter an orbit passing over the poles of the Sun, the spacecraft would have to eliminate the 30 km / s speed it inherited from the Earth's orbit around the Sun and gain the speed needed to orbit the Sun in the pole-to-pole plane — tasks that are impossible with current spacecraft propulsion systems alone, making gravity assist maneuvers essential.

Thus, siderophile elements are bound through metallic bonds with iron in the dense layer of the Earth's core where pressures may be high enough to keep the iron solid.

Thus while Tycho acknowledged that the daily rising and setting of the sun and stars could be explained by the Earth's rotation, as Copernicus had said, still such a fast motion could not belong to the earth, a body very heavy and dense and opaque, but rather belongs to the sky itself whose form and subtle and constant matter are better suited to a perpetual motion, however fast.

Thus, the Earth's gravitational field ( near ground level ) can be quoted as 9. 8 metres per second squared, or the equivalent 9. 8 N / kg.

Earth's rotation period relative to the fixed stars, called its stellar day by the International Earth Rotation and Reference Systems Service ( IERS ), is seconds of mean solar time ( UT1 ) Earth's rotation period relative to the precessing or moving mean vernal equinox, misnamed its sidereal day, is seconds of mean solar time ( UT1 ) Thus the sidereal day is shorter than the stellar day by about 8. 4 ms.

Thus it plays a major role in the Earth's carbon cycle.

Thus for example the delta-v for a Hohmann transfer from Earth's orbital radius to Mars ' orbital radius ( to overcome the Sun's gravity ) is many kilometres per second, but the incremental burn from LEO over and above the burn to overcome the Earth's gravity is far less if the burn is done close to the Earth than if the burn to reach a Mars transfer orbit is performed at Earth's orbit, but far away from Earth.

Thus in order for blueschist facies assemblages to be seen at the Earth's surface, the rock must be exhumed swiftly enough to prevent total thermal equilibration of the rocks which are under blueschist facies conditions with the typical geothermal gradient.

Thus, according to present understanding, familiar events such as landslides and earthquakes release energy which has been stored as potential energy in the Earth's gravitational field, or elastic strain ( mechanical potential energy ) in rocks.

Thus, it is assumed the helium content and ratios of Earth's atmosphere have remained essentially stable.

Thus Mars's solar day is only about 2. 7 % longer than Earth's.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

Thus, at a given angular rate of rotation, a concave surface represents the stable situation, and the more rapid the rotation, the more concave this surface.

Thus the aim developed, to provide a new time scale for astronomical and scientific purposes, to avoid the unpredictable irregularities of the mean solar time scale, and to replace for these purposes Universal Time ( UT ) and any other time scale based on the rotation of the Earth around its axis, such as sidereal time.

Thus there is a three-parameter family of rotations which transform the sphere onto itself, this is the rotation group SO ( 3 ).

Thus, all parts share the same rate of rotation, or the same number of rotations or revolutions per unit of time.

Thus the spinor rotation γ ( ψ ) = γψ ( ordinary quaternionic multiplication ) will rotate the spinor ψ through an angle one-half the measure of the angle of the corresponding vector rotation.

Thus rotation allows increased yields from nutrient availability but also alleviation of allelopathy and competitive weed environments.

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

Thus every rotation can be represented uniquely by an orthogonal matrix with unit determinant.

Thus the amplitude of the galaxy rotation curve is related to the galaxy's visible mass.

Thus quaternions are a preferred method for representing spatial rotations – see quaternions and spatial rotation.

Thus no rotation occurs in this system as well.

Thus, if a ray of light is passed through a material and reflected back through it, the rotation doubles.

Thus the rotation of the solution will increase from + 18. 7 to an equilibrium value of + 52. 5 as some of the β form is converted to the α form.

Thus, tire rotation needs to occur more frequently for front-wheel drive vehicles.

Thus image schemata are rich images, in a sense of the term similar to how the rotation of Shepard and Metzler-like mental images preserves the visual contours of the 2D picture of the 3D object ; in other words image schemata are not strictly 2D pictures, but a rich image-like whole that contain procedural as well as perceptual information about the object as a whole.

Thus we can extract from any 3 × 3 rotation matrix a rotation axis and an angle, and these completely determine the rotation.