The evaluation order does not affect the value of such expressions, and it can be shown that the same holds for expressions containing any number of operations .< ref > Thus, when is associative, the evaluation order can be left unspecified without causing ambiguity, by omitting the parentheses and writing simply:

Thus, a player should use Blackwood only when he can ascertain that the partnership holds at least second-round controls in all suits ( kings or, if a suit fit is found, singletons ).

Thus, as an ethnic religion, Judaism holds that others may have their own, different, paths to God ( or holiness, or " salvation "), as long as they are consistent with the Seven Laws of Noah.

" Thus, any activity of production ( which distributism holds to be the most important part of any economy ) ought to be performed by the smallest possible unit.

Thus the no-cloning theorem holds in full generality.

" Thus, Objectivism holds that the mind does not create reality, but rather, it is a means of discovering reality.

Thus token identity holds between colours and physical / brain states at best.

Thus, a notrump opener who holds at least four cards in each major suit should " correct " by bidding the other major suit at the lowest level.

Thus the definition of Christian propitiation asserted by Calvin, Packer and Murray holds that within God there is a dichotomy of love and anger, but through propitiation love trumps anger, abolishing it.

Thus certain plants, including the traveler's tree ( so called because its trunk holds potable water ), are found both in Madagascar and on the South American continent, but not in Africa.

Thus it is the structure of the organization rather than the employees, alone, which holds the key to improving the quality of output.

Thus, it holds the distinction of being the only city in Kentucky to have served as the county seat of three separate counties.

Thus, Modern Orthodoxy holds that Jewish law is normative and binding, while simultaneously attaching a positive value to interaction with the modern world.

Thus a cask standing on end represents the mountain on which Christ is tempted by the Devil ; thunder is imitated by the report of a gun ; in order to signify that the Devil had entered into him, Judas holds a bird of black plumage before his mouth and makes it flutter.

Thus the intuitive reading of a Hoare triple is: Whenever P holds of the state before the execution of C, then Q will hold afterwards, or C does not terminate.

Thus given no arbitrage opportunities, the above relationship ( put-call parity ) holds, and for any three prices of the call, put, bond and stock one can compute the implied price of the fourth.

Thus, although elected by the Supreme Council, the president is essentially hereditary-the emir of Abu Dhabi holds the position.

Thus all geodesics leaving a point will eventually reconverge after a finite time, provided the appropriate energy condition holds, a result also known as the focusing theorem.

Thus, the holder is one of the only five people in the UK to hold two or more different dukedoms, the others being the Duke of Cornwall and Rothesay, the Duke of Hamilton and Brandon, the Duke of Argyll ( who holds two dukedoms named Argyll ), and the Duke of Richmond, Lennox and Gordon.

where is the point biserial correlation of item i. Thus, if the assumption holds, where there is a higher discrimination there will generally be a higher point-biserial correlation.

Thus, the Duke holds three ( four, if the French Aubigny claim is accepted ) dukedoms, more than any other person in the realm.

Thus, the Duke holds four dukedoms ( including Aubigny-sur-Nère ), more than any other person in the realm.

Thus, the Duke holds four dukedoms ( including the titular Aubigny-sur-Nère ; see Duke of Aubigny ), more than any other person in the realm.

Thus the school's leader ( who holds the dual titles of chancellor and dean ) must obtain funds directly from the California State Legislature, unlike other UC institutions, which receive money from the Regents.

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

Thus, the challenge is to create agile or discovery-driven implementations of the EVM principle, and not simply to reject the notion of measuring technical performance objectively.

" Thus irreal works such as Italo Calvino's Cosmicomics and Jorge Luis Borges ' Ficciones can be seen as an attempt to find a new allegorical language to explain our changed perceptions of the world that have been brought about by our scientific and technical culture, especially concepts such as quantum physics or the theory of relativity.

Thus far, no system design has been shown to meet this requirement fully on a technical basis alone.

Thus, his response to Mark Twain's A Connecticut Yankee in King Arthur's Court was to write a similar time travel novel ( Lest Darkness Fall ) in which the method of time travel was rationalized and the hero's technical expertise both set at a believable level and constrained by the technological limitations of the age.

Thus, in jurisdictions with due process, there must be an actus reus accompanied by some level of mens rea to constitute the crime with which the defendant is charged ( see the technical requirement of concurrence ).

Thus, there was no incentive for further technical refinement, and technical progress stagnated.

Thus over time the army became a place to learn the technical skills of engineering and surveying.

Thus the development of synthetic rubber allowed for the Allied war machine to continue growing, giving the US a significant technical edge as World War II continued.

Thus, some of the common crank characteristics ( see above )— such as the lack of technical ability, ignorance of scientific terminology, and claims that alternative ideas are being suppressed by the mainstream — may be operating on and manifested in multiple orthogonal assertions.

Thus it is often used untranslated as a technical term in Islamic literature.

Thus slowdowns, speed ups, improvements in the education of the labor force and all sorts of things will appear as ’ technical change ’ ”.

Thus slowdowns, speed ups, improvements in the education of the labor force and all sorts of things will appear as ’ technical change ’ ” Since then more specific descriptions of productivity sources have emerged referring to investment, innovations, skills, enterprise and competition ( ONS 3, 20 ).

Thus smaller, technical universities, such as Eindhoven ( Netherlands ) and Technical University Munich ( Germany ) are ranked third and forth, behind Cambridge, and followed by University of Edinburgh.

Thus, because Jensen did not publish his own " Ultrasaurus " find until 1985, Kim's use retained its official priority of name, and Jensen was forced to choose a new name ( in technical terms, his original choice was " preoccupied " by Kim's sauropod ).

Thus for Aristotle episteme concerns practical wisdom, and those possessing practical wisdom ( phronimos ) have a knowledge about how to achieve the highest aims, in ways that cannot be reduced to scientific knowledge of general truths, nor to technical know-how about how to get morally neutral things done.

Thus, the objective characteristics of use-values are very important for understanding ( 1 ) the development and expansion of market trade, and ( 2 ) necessary technical relationships between different economic activities ( e. g. supply chains ).

Thus ( with heavy foreign investment and technical assistance ), Russia managed to achieve at least a veneer of industrialization by 1914.

Thus the Latin of a theologian like St Thomas Aquinas or of an erudite clerical historian such as William of Tyre tends to avoid most of the characteristics described above, showing its period in vocabulary and spelling alone ; the features listed are much more prominent in the language of lawyers ( e. g. the 11th century English Domesday Book ), physicians, technical writers and secular chroniclers.

Thus a ' stage technician ' is a worker who provides technical support for putting on a play, while a ' medical technician ' is an employee who provides technical support in the medical industry or to the medical profession.

Thus began a highly productive period: he went on to write or edit over a hundred technical books in such fields as radio ; television ; aviation and automotive engineering.

Thus, according to this viewpoint, the phenomenal dualistic world is ultimately an illusion ( maya to use the technical Indian term ), irrespective of the apparent reality it possesses at the mundane or empirical level.