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, the avant-garde choreographers have extended the scope of materials available for dance composition.

Thus, many a creativity-oriented aspirant for a career in architecture, drama, or journalism, resigns himself to a real estate business ; ;

Thus a new pattern of days began to develop, for Granny Albright did not die.

Thus, the need for the B-70 as a strategic weapon system is doubtful.

Thus, you avoid headaches when an employee wants off for his fourth cousin's funeral.

Thus it was that Barco, apprehended for mere larceny, now began to suspect that one or another of his murders had been uncovered.

Thus, the dotted line shown in figure 4 was taken as typical for the temperature distribution for all blowing rates.

Thus, for aqueous media, we can think of the idealized organic active as an oleophilic or hydrophobic surface-active agent, and of an idealized builder as a oleophobic or hydrophilic surface-active agent.

Thus, an enemy would probably use this weapon for attack on static population centers such as large cities.

Thus, the alignment of the `` dots '' and `` tips '', respectively, indicate individual variability of the 21 growth centers of each child with respect to the mean values for these boys and girls.

Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

Thus the multiplicity of Af for a given T must be an even number.

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 lack of effective recognition of the responsibilities involved in caring for two babies showed signs of becoming a disabling problem.

Thus, the writer decided to hold one experimental section of the functional preparation for marriage course in the spring semester of 1960 exclusively for persons already married -- that is, prerequisite: `` marriage ''.

Thus the films seen as they came in ( coordinated for the regular sections ), were often out of context.

Thus, when more than one distinct form leads to a particular cell in the X-region, a chain of information cells must be created to accommodate the forms, one cell in the chain for each form.

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 in Mary wrote an account of the trip first strong stress on Mary marks Mary as the first in a series of people who wrote accounts of the trip, strong stress on wrote marks the writing as the first of a series of actions of Mary's concerned with an account of her trip ( about which she may later have made speeches, for example ), and strong stress on trip makes the trip the first of a series of subjects about which Mary wrote accounts.

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

Thus while his theory or technique may not be oversubscribed, it is commonplace for bullish and bearish positions to become temporarily over-subscribed.