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

Thus, all the antiderivatives of x < sup > 2 </ sup > can be obtained by changing the value of C in F ( x ) = ( x < sup > 3 </ sup >/ 3 ) + C ; where C is an arbitrary constant known as the constant of integration.

Thus, the economic and social well being of these areas and their integration into the fabric of the nation are critically dependent on the availability of air transport.

Thus, European integration is one of the main priorities of the SPD.

Thus, the Samis saw no change or a transformation of their name, for example: some Sire became Siri, Hætta Jáhkoš Ásslat became Aslak Jacobsen Hætta — as it was the norm until recently, when integration into the EU and accelerated international exchanges pushed many people to reverse the order of their full name to given name-surname, so that they are not called Ms. Rauha ( a first name ), just like Japanese, some Koreans, Chinese or some Vietnamese do, for the same reason.

Thus integration by parts may be thought of as deriving the area of the blue region from the total area and that of the red region.

Thus the result might be seen to be " to acquire integration or wholeness, or truth " ( samāpatti ).

Thus, staining the flies for LacZ expression or activity and cloning the sequence surrounding the integration site can identify the enhancer sequence.

Thus, it supports the integration of immigrants by which the immigrants are assigned to immigration procedures immediately after entering the country.

Thus, high order Gauss integration quadratures are employed, since they achieve the highest accuracy with the smallest number of computations to be carried out.

Thus, as boundaries fade in importance due to transnational motion, the integration of global and local forces defined by glocalization make transnational social spaces, in which those people and processes that have crossed borders interact, a reality ; ultimately, this process of glocalization may provide societal encouragement for the more culturally open mindset of cosmopolitanism.

Thus, performing the above integration, we see that,

Thus, in contrast to traditional realpolitik scholars, Friedberg believes that conflict is not inevitable in East Asia as China continues to develop as long as multilateral institutions and economic integration are used as tools to manage security dilemmas.

Thus, a crude way of calculating the value of with Monte Carlo integration is to pick N random numbers on and compute

Thus in a 40 year period, the Yorkshire TA infantry have moved from integration with regular units, to a separate entity ( The Yorkshire Volunteers ), back to integration and affiliation with the regular army units, once again amalgamation into non affiliation with the regulars ( Tyne-Tees and East and West Riding Regiments ) and finally, re-integration with the regular army.

Thus, analogous to the broader nativist / empiricist argument, it is apparent that rather than a dichotomy, there exists a continuum, such that the integration and differentiation hypotheses are extremes at either end.

Third, a successful peer-production enterprise must have low-cost integration — the mechanism by which the modules are integrated into a whole end product. Thus, integration must include both quality controls over the modules and a mechanism for integrating the contributions into the finished product at relatively low cost.

Thus, despite the Supreme Court's decision in Brown v. Board of Education, the MIA was initially willing to accept a compromise that was consistent with separate but equal rather than complete integration.

Thus, without holding any land directly under the Holy Roman Emperors, the Liechtenstein dynasty was unable to meet the primary requirement to qualify for a seat in the Imperial diet, the Reichstag, although its head was elevated to princely rank in the late 17th century.

Thus the local princely residence was abandoned after 1500.

Thus, during World War I, both Charles Edward, Duke of Saxe-Coburg and Gotha and Ernest Augustus, Crown Prince of Hanover were British princes and dukes, even while they were also officers in the German Army ( as was the latter's son, Ernest Augustus, Duke of Brunswick, who also held British princely rank ).

Thus, numerous princely families of Russia issue from this prince.

Thus, theory and doctrine applicable among the great nations and the smaller European states did not really comfortably fit less developed and less powerful societies elsewhere.

Thus the negation of the axiom of choice states that there exists a set of nonempty sets which has no choice function.

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, the law of " interpenetrating opposites " records the inextricable interdependence of components: the " transformation of quantity to quality " defends a systems-based view of change that translates incremental inputs into alterations of state ; and the " negation of negation " describes the direction given to history because complex systems cannot revert exactly to previous states.

Thus the nomads who conquered states in the Middle East were soon forced to adapt to the local societies.

Thus, he cautiously states: " But knowing the sure number declared by Scripture, that is six hundred sixty and six, let them await, in the first place, the division of the kingdom into ten ; then, in the next place, when these kings are reigning, and beginning to set their affairs in order, and advance their kingdom, them learn to acknowledge that he who shall come claiming the kingdom for himself, and shall terrify those men of whom we have been speaking, have a name containing the aforesaid number, is truly the abomination of desolation.

Thus, the rate of transitions between two stationary states is enhanced beyond that due to spontaneous emission.

Thus, this angular arrangement sees a decrease in the net positional entropy of the approaching cylinder ( there are fewer states available to it ).

Thus if Portugal specialized in wine and England in cloth, both states would end up better off if they traded.

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

Thus, according to Wittgenstein, mental states are intimately connected to a subject's environment, especially their linguistic environment, and conceivability or imaginability arguments that claim otherwise are misguided.

Thus, the rate of transitions between two stationary states is enhanced beyond that due to spontaneous emission.

Thus, it seems that we can know, in a relatively unproblematic way, that other people are in certain mental states.

" Thus, no individual state may have its representation in the Senate adjusted without its consent unless all other states have an identical change.

" Thus, state laws purporting to nullify federal statutes or to exempt states and their citizens from federal statutes have only symbolic impact.

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, the uncertainty principle actually states a fundamental property of quantum systems, and is not a statement about the observational success of current technology.

Thus, Zurich became the fifth member of the Confederacy, which was at that time a loose confederation of de facto independent states.

Thus Lucretius states that once the vessel ( the body ) shatters ( dies ) its contents ( mind and spirit ) can no longer exist.

Thus, for example, the Great Seal of the United States, among other uses, appears on the reverse of the one-dollar bill ; and several of the seals of the U. S. states appear on their respective state flags.

Thus it concerns the interaction between the electromagnetic ( optical ) and the electrical ( electronic ) states of materials.

Thus, the current state of the law is that, while the federal government may not restrict use of peyote in ceremony, individual states do have a right to restrict its use.

Thus, despite the population of France being greater than the population of all of the German states that participated in the war, the Germans mobilized more soldiers for battle.