Thus, in the last few years, a number of programs which looked very promising at the time their development was commenced have since been completely eliminated.

Thus, the public-limit price is raised further by a given wage increase the longer it has been since the previous price increase.

Thus, for non-negative changes in the basic wage rate, the industry becomes the active wage-setter, since any increase in the basic wage rate can occur only by reason of industry acquiescence.

Thus, if what is at issue is whether `` All S is P '', it is indifferent whether `` Some S is not P '' or `` No S is P '', since in either case the judgment in question is false.

Thus, if the score was 3 – 2 with the bases loaded in the bottom of the ninth, and the batter smacked an " over the fence home run ", the game would end at 4 – 3, with the batter only allowed a double, and the runners officially stopped on 2nd and 3rd ( since they were not needed to win the game ).

Thus since a database can be normally changed only by transactions, all the database's states are consistent.

Thus since a database can be normally changed only by transactions, all the database's states are consistent.

Thus, most security researchers set maximum times ( such as 14 days or 30 days ) before fully revealing a vulnerability to the public, since otherwise many vendors would never fix even critical vulnerabilities in their products.

Thus, since the 19th century many historical Jesus scholars have argued that only one of the two traditions could be authentic.

Thus, even when the Electors of Saxony were Catholics during the eighteenth century, they continued to preside over the corpus evangelicorum, since the state of Saxony was officially Protestant.

Thus, the initial stage of Ebola is not very contagious since its victims experience only internal hemorrhaging.

Thus, for example, two objects may be group isomorphic without being ring isomorphic, since the latter isomorphism selects the additional structure of the multiplicative operator.

Thus, the purl wales in ribbing tend to be invisible, since the neighboring knit wales come forward.

Thus, for example, around 60 manuscripts are extant containing Welsh-language versions of the Historia, the earliest of which were created in the 13th century ; the old notion that some of these Welsh versions actually underlie Geoffrey's Historia, advanced by antiquarians such as the 18th-century Lewis Morris, has long since been discounted in academic circles.

Thus, " the onus of being the last ' People of the Book ' engendered an ethos of " early on and the establishment of important book repositories throughout the Muslim world has occurred ever since.

Thus, a federal district court that falls within the geographic boundaries of the Third Circuit Court of Appeals is bound by rulings of the Third Circuit Court, but not by rulings in the Ninth Circuit, since the Circuit Courts of Appeals have jurisdiction defined by geography.

Thus, the camera angle remains objective, since it is an unseen observer not involved in the action.

Thus, it follows that all power laws with a particular scaling exponent are equivalent up to constant factors, since each is simply a scaled version of the others.

Thus, if it seemed likely that a strong, poor man were guilty of robbing a rich, weak man, the strong poor man could argue, on the contrary, that this very likelihood ( that he would be a suspect ) makes it unlikely that he committed the crime, since he would most likely be apprehended for the crime.

Thus any state which adopts the Berne Convention is penalised if it then decides to renounce it and use the UCC protections instead, since its copyrights might no longer exist in Berne Convention states.

Thus, individuals with 5-ARD are not able to carry a pregnancy, and, since they have testes and not ovaries, they are unable to create ova, which precludes such infertility treatments as surrogate motherhood.

Thus, this color name has been in use since 1912.

Thus, empirical observations of the frequency of spoiled elections do not provide a good measure of how prone to spoiling the voting method is, since the observations omit the relevant information about potential candidates ( e. g., Hillary Clinton ) who did not run because they did not want to spoil the election.

Thus, since the hero Trophonius ( from Lebadea in Boeotia ) is called Zeus Trophonius, this can be represented in English ( as it would be in Latin ) as Jupiter Trophonius.

Thus, with the support of convention chairman Elihu Root, Taft's supporters outvoted Roosevelt's men, and the convention renominated incumbents William Howard Taft and James S. Sherman, making Sherman the first sitting vice-president to be nominated for re-election since John C. Calhoun in 1828.

Thus if the gyro and platform-controller combination maintains the platform with zero angular deviation about the **yf axis, the system can be rotated with an angular velocity Af if a torque is supplied to the gyro output axis Aj.

Thus, any transverse velocity of the emitting source plays no part in aberration.

In the field of high-energy particle physics, the fundamental velocity unit is the speed of light c. Thus, dividing energy in eV by the speed of light in vacuum, one can describe the momentum of an electron in units of eV / c.

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

Thus a ruler that is one meter long in one frame of reference will not be one meter long in a reference frame that is travelling at a velocity relative to the first frame.

Thus the velocity can be measured from the amount of redshift ( or blueshift ) of the star's spectrum.

Thus, an object starting from rest will attain a velocity of 9. 81 m / s ( 32. 2 ft / s ) after one second, 19. 62 m / s ( 64. 4 ft / s ) after two seconds, and so on, adding 9. 81 m / s ( 32. 2 ft / s ) to each resulting velocity.

This question has two fundamental physical units: time t and length, and three dimensional variables: distance D, time taken T, and velocity V. Thus there is 3 − 2 = 1 dimensionless quantity.

Thus, if V < sub > g </ sup > is the group velocity of a phonon wave packet, then the relaxation length is defined as:

Thus, velocity is the time rate of change of position, and the dot denotes the derivative with respect to time.

Thus, for bodies in pure translation the velocity and acceleration of every point P in the body are given by

Thus, the magnitude of the angular velocity vector at a given time t is consistent with the two dimensions case.

Thus, the relative difference in velocity between a source and an observer is what gives rise to the doppler effect.

Thus shot to shot consistency is maintained for longer than in an unregulated rifle, at the expense of efficiency, shots per fill and often at a lower velocity.

Thus, the perturbation introduced to the system is described by a velocity field of infinitesimally small amplitude,.

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 if a rocket burst is in the direction of the velocity, in the reversed case it is opposite to the velocity.

Thus, for a subsonic flow to be accelerated to supersonic velocities, the nozzle needs to have a converging section in which the flow is subsonic, a throat, at which the flow velocity is the local speed of sound, and a diverging section with supersonic flow.

Thus the time-of-flight is used to measure velocity, from which the mass-to-charge ratio can be determined.

Thus specific impulse is a velocity, as opposed to the common usage of the word as the ratio of momentum and weight ( weight would not make much sense in this context ).

Thus, it is the velocity of a reference point fixed to the body.

Thus, in animals with early signs of diabetes-induced neuropathy, C peptide treatment in replacement dosage results in improved peripheral nerve function, as evidenced by increased nerve conduction velocity, increased nerve Na +, K + ATPase activity, and significant amelioration of nerve structural changes.