Thus, in practice, ensuring that nobody is disadvantaged by a change aimed at achieving Pareto efficiency may require compensation of one or more parties.

Thus, if a legislature makes a law depriving a person of his property, there would be no obligation on the part of the State to pay anything as compensation.

Thus, information gathered regarding a disability may be used to deny someone compensation for an injury caused by their failure to see or do something, as opposed to being used to make that failure less likely by adapting the infrastructure or software to their use.

Thus, without being constitutionally obligated to pay compensation, the United States may change the course of a navigable stream, South Carolina v. Georgia, 93 U. S. 4 ( 1876 ), or otherwise impair or destroy a riparian owner's access to navigable waters, Gibson v. United States, 166 U. S. 269 ( 1897 ); Scranton v. Wheeler, 179 U. S. 141 ( 1900 ); United States v. Commodore Park, Inc., 324 U. S. 386 ( 1945 ), even though the market value of the riparian owner's land is substantially diminished.

Thus it is the minimum willingness to accept compensation for the risk.

Thus, all else being equal, it would be acceptable for a more senior colleague to receive higher compensation, since the value of his experience ( and input ) is higher.

Thus a teacher from Alberta may accept lower compensation than his colleague in Toronto if his cost of living is different, while a teacher in a remote African village may accept a totally different pay structure.

Thus, in a business setting, one might feel that his or her compensation is equitable to other employees ', but one might view the entire compensation system as unfair ( Carrell and Dittrich, 1978 ).

Thus, he was not elected Latin Emperor and was given, as compensation, the Kingdom of Thessalonica and Crete.

Thus, CFC represents a compensation for the loss of value of fixed assets to an enterprise.

Thus, during the 1960s and early 1970s, Portuguese development plans promoting strong economic growth and effective socioeconomic policies, like those applied by the Portuguese in the other two theaters of war ( Portuguese Angola and Portuguese Mozambique ), were not possible.

Thus, when a person plans what to do and what not to do, he will understand the range of likely outcomes from given behaviour on a sliding scale from " inevitable " to " probable " to " possible " to " improbable ".

Thus so competent were the builders of Belton that Winde may have done little more than provide the original plans and drawings, leaving the interpretation to the on-site craftsmen.

Thus, although his death damaged David's plans and made disorder after his death more likely, it was not a disaster.

Thus plans were made to build an expansion.

Thus the cooperation begun in late 1940 ultimately developed in 1941 into preparations for re-annexation of the territories lost after the Winter War, in case Nazi Germany would realize the rumoured plans for an assault on the Soviet Union.

Thus none of Stephen's own plans of English codification took effect.

Thus, the Prussian plans became mere reactions to Napoleon's movements.

Drexler supports a form of the Fermi paradox, arguing that as there is no evidence of alien civilizations, " Thus for now, and perhaps forever, we can make plans for our future without concern for limits imposed by other civilizations.

Thus the plans for the German ' Tiger ' tank originated from Reimspiess.

Thus Germany was left with no option but to preemptively invade Poland, thereby halting the alleged Polish plans to invade Germany.

Thus the entangling alliances of the Triple Alliance and the Triple Entente directed the intricate plans for mobilization.

Thus, Japan wished to defeat China and conclude the war as soon as possible, to avoid disrupting its plans against the Soviet Union.

Thus, it seems clear that Hitler's grandiose plans for the architectural embellishment of Berlin and Germany's regional capitals could have been achieved only by using the same methods as those employed by the Romans: forcible acquisition of funds and forced labour.

Thus, Jesse, Haida native Randolph Johnson ( August Schellenberg ) and Rae begin plans to release the orca.

Thus, during the 1960s and early 1970s, Portuguese development plans promoting strong economic growth and effective socioeconomic policies, like those applied by the Portuguese in the other two theaters of war ( Portuguese Angola and Portuguese Mozambique ), were not possible.

Thus, during the 1960s and early 1970s, Portuguese development plans promoting strong economic growth and effective socioeconomic policies, like those applied by the Portuguese in the other two theaters of war ( Portuguese Angola and Portuguese Mozambique ), were not possible.

Thus 529 plans can be used as an estate planning tool to move assets outside of one's estate while still retaining some measure of control if the money is needed in the future.

Thus plans are to deploy TPWS ( Train Protection and Warning System ) on this section to mitigate the risk of Signal Passing At Danger ( SPAD ) by train drivers leading to accidents.

Thus, Jane refuses to silence the ansible, Qing-Jao sends the message, and Starways Congress plans the systematic silencing of all ansibles to kill Jane.

Thus, through what was essentially a historical accident and a political compromise, a system of competition among health plans driven by consumer choices was created.

Thus far, Cartoon Network has not mentioned any plans to release the final episodes of the series in the United States, nor has it mentioned any further external support of it in forms such as DVD releases.

Thus far the Antarctic Kunlun Station is suitable as a summer station, but there are plans to develop it further and build an airfield nearby to ease servicing, as it is not reachable by helicopters.

Thus, the plans, which up to that point had only been kept as dreams, have now been put into action through the executive ability and capital of a corporation.

Thus the term asteroid has come increasingly to refer specifically to the small bodies of the inner Solar System out to the orbit of Jupiter, which are usually rocky or metallic.

Thus, many users of a given BBS usually lived in the same area, and activities such as BBS Meets or Get Togethers were common, where users of the board would gather at a local restaurant, the SysOp ’ s home or similar venue and meet face to face.

Thus any popular general-purpose data model usually well balances between being intuitive and relatively simple, and very complex with high expressive power.

Thus, speakers of two adjacent Inuit dialects would usually be able to understand one another, but speakers from dialects distant from each other on the dialect continuum would have difficulty understanding one another.

Thus, it is possible that I Corinthians was written during Paul's first ( brief ) stay in Ephesus, at the end of his Second Journey, usually dated to early 54 AD.

Thus, it has generally been used to describe something which, while unreal, is so in a very specific or unusual fashion, usually one emphasizing not just the " not real ," but some form of estrangement from our generally accepted sense of reality.

Thus, reflection in a resonant cavity is usually required for a laser, but is not absolutely necessary.

This identifies the tangent space T < sub > e </ sub > at the identity with the space of left invariant vector fields, and therefore makes the tangent space at the identity into a Lie algebra, called the Lie algebra of G, usually denoted by a Fraktur Thus the Lie bracket on is given explicitly by = < sub > e </ sub >.

Thus an 8-course Renaissance lute will usually have 15 strings, and a 13-course Baroque lute will have 24.

Thus, minimum wage laws have usually been judged against the criterion of reducing poverty.

Thus the size of the MDR is usually a multiple of 8.

Thus, a piano quintet is usually a string quartet plus a piano.

Thus, when new and full moons occur, the Moon usually lies to the north or south of a direct line through the Earth and Sun.

Thus, while most organic acids are deprotonated by the ionization of a polar hydrogen-to-oxygen bond, usually accompanied by some form of resonance stabilization ( resulting in a carboxylate ion ), uric acid is deprotonated at a nitrogen atom and uses a tautomeric keto / hydroxy group as an electron-withdrawing group to increase the pK < sub > 1 </ sub > value.

Thus, the more explicit notation is usually not deemed necessary and very rarely used.

Thus 18th century is usually broken down into sub periods such as ' WSS ' ( War of Spanish Succession ), ' WAS ' ( War of Austrian Succession ), ' SYW ' ( Seven Years War ) and ' AWI ' ( American War of Independence ).

Thus, 1933 is usually seen as the end of the Weimar Republic and the beginning of Hitler's Third Reich.

Thus all of the additional signal power is guided in the same fiber mode as the incoming signal. There is usually an isolator placed at the output to prevent reflections returning from the attached fiber.

Thus it is commonly used in image processing, where the SNR of an image is usually calculated as the ratio of the mean pixel value to the standard deviation of the pixel values over a given neighborhood.

Thus, civil broadcast standards for time and frequency usually follow TAI closely, but occasionally change discontinuously ( or " leap ") in order to prevent them from drifting too far from mean solar time.

Thus each timeslot sends and receives an 8-bit PCM sample, usually encoded according to A-law algorithm, 8000 times per second ( 8 x 8000 x 32 = 2, 048, 000 ).

Thus, a control-canard mostly operates only as a control surface and is usually at zero angle of attack.

Thus, indirect code is often more compact than direct-threaded code, but the indirection also typically makes it slower, though still usually faster than bytecode interpreters.

Thus, closet as an adjective means secret — usually with a connotation of vice or shame, as in " a closet alcoholic " or " a closet homosexual ," though sometimes used as a humorous exaggeration for any potential embarrassment, as in " a closet comic book fan.

Thus thought experiments belong to a theoretical discipline, usually to theoretical physics, but often to theoretical philosophy.