Thus while Persian-speakers were concentrated on the lower rungs of the work force, managers tended to be brought in from some distance.

Thus, it has been argued that a voucher system would lead students who do not belong to a preferred religious or ethnic group, or those with disabilities, to become concentrated within the public school system.

Thus, while he recognised the benefits of citrus fruit ( although he weakened the effect by switching to a boiled concentrated or " rob ", the production of which unfortunately destroyed the vitamin C ), he never advocated citrus juice as a single solution.

Thus firms in more concentrated industries will earn higher profits than firms operating in less concentrated industries, irrespective of their efficiency.

Thus, treatment of concentrated solutions of ammonium salts with strong base gives ammonia.

Thus it provides an intense, detailed exploration of its subject, providing to some degree both the concentrated focus of the short story and the broad scope of the novel.

Thus the defensive line could be relatively thin because the bulk of the fighting power of the defenders was not concentrated in the line itself but rather in the mobile reserves.

Thus the levels of ADH determine whether urine will be concentrated or diluted.

Thus, they concentrated on P300 released during a working memory test in DMS patients.

Thus, the Constitution concentrated on the operation of the government system as a whole.

Thus by 14 May, when the allied fleet was fully assembled, the French strategic aim of acting with a concentrated force while the allies were scattered was already lost.

Thus, while normal graphite is reduced to a powder by a mixture of concentrated sulfuric and nitric acids at room temperature, glassy carbon is unaffected by such treatment, even after several months.

Thus, where Jewish wealth existed, it was almost invariably concentrated in the form of money, with extremely limited avenues through which it could legally be spent.

Thus, early Neolithic graves tend to show equal distribution of goods, suggesting a more or less classless society, while in Chalcolithic and Bronze Age burials, rich grave goods are concentrated in " chieftain " graves ( barrows ), indicating social stratification.

Thus, as early as the second half of the 15th century, further development in siege technology concentrated on the Hauptbüchse, and bombards largely disappeared from the leading artillery arsenal of the dukes of Burgundy.

Thus, a way within Buddhism developed which concentrated on direct experience rather than on rational creeds or revealed scriptures.

Thus Class 24 withdrawals only started in earnest with completion of the Glasgow electrification in 1974, and re-allocation of Class 26 and Class 27 locos saw the Class 24s concentrated around various Lancashire depots and at Carlisle.

Thus, King Philip II concentrated his efforts there.

Thus the executive powers, divided among the commissioners in a commission form, are instead concentrated in the manager, who then delegates responsibility to department heads and other staff members.

Thus, in his later years, he concentrated on historical research, mostly of the Middle Ages but also of the 18th and 19th centuries.

Thus water vapour above the clouds, besides being less concentrated, is also less absorptive than water vapour at lower altitudes.

Thus, on February 20, 2008, The Detroit Project officially changed its name to The Detroit Partnership to better reflect the organization's movement from an organization concentrated on one-sided service events ( such as DP Day, where volunteers went en-mass to work on projects to which they have never returned ) to the development of programs and service learning through more intimate, and longer-lasting community partnerships ( i. e. weekly programs ).

Thus Scipio was facing two concentrated enemy forces, one of which would no doubt fall upon his rear if he tried to attack the other.

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

Thus three major themes in 19th century mathematics were combined by Lie in creating his new theory: the idea of symmetry, as exemplified by Galois through the algebraic notion of a group ; geometric theory and the explicit solutions of differential equations of mechanics, worked out by Poisson and Jacobi ; and the new understanding of geometry that emerged in the works of Plücker, Möbius, Grassmann and others, and culminated in Riemann's revolutionary vision of the subject.

Thus, id's decision to protect Quake IIIs code inadvertently caused machinima creators to use more general solutions and thus widen their audience.

Thus, nowadays, we speak of Diophantine equations when we speak of polynomial equations to which rational or integer solutions must be found.

Thus a developer gravitates toward solutions that reside at the intersection of the capabilities of UML and the implementation language.

Thus, the differential equation solutions can be classified into homotopy classes.

Thus, the difference of any two solutions to the equation Ax = b lies in the null space of A.

Thus in most " natural " settings, if a complex number provides a solution to a problem, so does its conjugate, such as is the case for complex solutions of the quadratic formula with real coefficients.

Thus, world conscience is a concept that overlaps with the Gaia hypothesis in advocating a balance of moral, legal, scientific and economic solutions to modern transnational problems such as global poverty and climate change, through strategies such as environmental ethics, climate ethics, natural conservation, ecology, cosmopolitanism, sustainability and sustainable development, biosequestration and legal protection of the biosphere and biodiversity.

Thus, many pyrophoric solids are sold as solutions, or dispersions in mineral oil or lighter hydrocarbon solvents.

Thus, the salt bridge or porous membrane serves both to keep the solutions apart and to allow the flow of anions in the direction opposite to the flow of electrons in the wire connecting the electrodes.

Thus the closed-loop poles ( roots of the characteristic equation ) of the transfer function are the solutions to the equation 1 + KC ( s ) P ( s )

Thus the classical solutions to G Chern – Simons theory are the flat connections of principal G-bundles on M. Flat connections are determined entirely by holonomies around noncontractible cycles on the base M. More precisely, they are in one to one correspondence with equivalence classes of homomorphisms from the fundamental group of M to the gauge group G up to conjugation.

Thus, general solutions can be specified by convolving the ( periodic ) boundary condition at t

Thus though Dirichlet flows ( potential solutions ) and other steady flows are mathematically possible, there is no reason to suppose that any steady flow is stable.

Thus, iodine tincture solutions are characterized by the presence of alcohol, and about the same amount ( weight % content ) of elemental iodine as iodide.

) Thus, the solutions above are all singular solutions, in the sense that solution fails to be unique in a neighbourhood of one or more points.

Thus, a program that is able to reduce this number of candidate solutions through the process of hypothesis formation is essential.

Thus, when pCr = 2, the chromium concentration is 10 < sup >- 2 </ sup > mol dm < sup >- 3 </ sup ></ ref > The chromate ion is the predominant species in alkaline solutions, but dichromate can become the predominant ion in acidic solutions.

Thus, in the example of the Travelling salesman problem, it is not necessary that an ant actually travels the shortest route: the shortest route can be built from the strongest segments of the best solutions.