Thus, as the level of debt in an economy grows, the economy becomes more sensitive to debt dynamics, and credit bubbles are of macroeconomic concern.

Thus, all three models for paramagnetic Hb-O < sub > 2 </ sub > may contribute to some small degree ( by resonance ) to the actual electronic configuration of Hb-O < sub > 2 </ sub >.

Thus, textbooks on aerodynamics use more complex models to provide a full description of lift.

Thus, accurately fitting and validating power-law models is an active area of research in statistics.

Thus the republicanism developed during the Renaissance is known as ' classical republicanism ' because it relied on classical models.

Thus, not all sound deductive systems are complete in this special sense of completeness, in which the class of models ( up to isomorphism ) is restricted to the intended one.

Thus, while there are short-term memory components to working memory models, the concept of short-term memory is distinct from these more hypothetical concepts.

Thus, when modelling certain situations with high Péclet numbers, simpler computational models can be adopted.

Thus, for example, lattice models, such as the Ising model, model ferromagnetic materials by means of nearest-neighbor interactions between spins.

Thus, ships carried a great deal of significance to the people of the ancient world, and this is expressed partly through the creation of boat and ship models.

Thus it was entirely possible that models introduced in the ' 50s could be fitted with four different wheel types during the span of their inclusion in the series — or even more, since there were further variations ( e. g. knobby or smooth ) besides the color or material.

Thus, although Matchbox Collectibles offered great quality models, there were also several dubious series.

Thus, modeling approaches can be classified as either mean-field models or large-eddy simulations according to the approximations.

Thus we can value caps and floors in those models ..

Thus, although these women did draw on models in heterosexual society, they transformed those models into an authentically lesbian interaction.

Thus the first-order theory of real numbers and sets of real numbers has many models, some of which are countable.

" Setia concludes: " Thus it seems that for al-Razi ( and for others before and after him ), astronomical models, whatever their utility or lack thereof for ordering the heavens, are not founded on sound rational proofs, and so no intellectual commitment can be made to them insofar as description and explanation of celestial realities are concerned.

Thus the Klein geometries are said to be the flat models for Cartan geometries.

Thus, the Robo Strux line had two differently colored releases of several models.

Thus, 1 parameter models are sample independent, a property that does not hold for two-parameter and three-parameter models.

Thus this method has much in common with the method of kriging in geostatistics and Gaussian process models.

Thus some researchers have used mutant mouse models with severe oxidative damage as a model of " accelerated aging " to investigate the possible role of phosphatidylcholine supplementation as a way of slowing down aging-related processes < ref > Mei-Chu Hung, Koji Shibasaki, Riki Yoshida, Masao Sato and Katsumi Imaizumi ( 2001 ).

Thus models that framed scientific development as continuous, such as that of Comte and Émile Meyerson, seemed simplistic and erroneous to Bachelard.

Thus, since January 2003, traditional auto rickshaws were banned from the capital ; only the new CNG-powered models were permitted to operate within the city limits.

Thus we are compelled to face the urbanization of the South -- an urbanization which, despite its dramatic and overwhelming effects upon the Southern culture, has been utterly ignored by the bulk of Southern writers.

Thus, paradoxically, the beat writers resort to `` religious '' metaphors: they are in search of mana, the spiritual, the numinous, but not anything connected with formal religion.

Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Thus there are polynomials Af such that Af.

Thus the Af are projections which correspond to some direct-sum decomposition of the space V.

Thus pencils of tangents to Q are transformed into pencils of tangents.

Thus it follows that the secants of **zg are all invariant.

Thus, although the agenda of external assistance in the economic sphere are cumulative, and many of the policies suggested for nations in the earlier stages remain relevant, the basic purpose of American economic policy during the later stages of development should be to assure that movement into a stage of self-sustaining growth is not prevented by lack of foreign exchange.

Thus the first lines of one of Charles Wesley's hymns are as follows.

Thus in his friends are stranger than his sisters' strong stresses are normal for his and sisters', but in his friends are stranger than his sisters strong stresses are normal for friends and sisters.

Thus his persistence values for some stem frequencies per meaning are: stem identical in 8 languages, 100% ; ;

Thus, the white middle and lower classes are arrayed against the Negro middle and lower classes.

Thus, during any given year ( A ) if the revenues from the residential service are $7,000,000, ( B ) if the operating expenses imputed to this class of service come to $5,000,000, and ( C ) if the net investment in ( or value of ) the plant and equipment deemed devoted to this service amounts to $30,000,000, the cost analyst will report that residential service, in the aggregate, has yielded a return of $2,000,000 or 6-2/3 per cent.

Thus, in the example cited above Fromm rests his whole case on the premise that the workers are being deprived unconsciously, unknowingly, of fulfillment, and then supports this with survey data reporting conscious, experienced frustrations.

Thus, the three main categories of antisubmarine warfare operations are defense of shipping, defense of naval forces, and area defense.

Thus, the most productive areas are not necessarily the most stressed.

Thus a number of operations of the order of Af are required.

Thus, if we are to observe American folklore in the twentieth century, we will do well to establish the relationships between folklore, nationalism and imperialism at the outset.

Thus, in `` The Story Of Ruth '' we have Ruth, Naomi, and Boaz and sets that are meticulously authentic.

" Thus Boolos and Jeffrey are saying that an algorithm implies instructions for a process that " creates " output integers from an arbitrary " input " integer or integers that, in theory, can be chosen from 0 to infinity.

Thus although most species in the order are herbaceous, some no more than 15 cm high, there are a number of climbers ( e. g. some species of Asparagus ), as well as several genera forming trees ( e. g. Agave, Cordyline, Yucca, Dracaena ), some of which can exceed 10 m in height.