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

Thus differential geometry may study differentiable manifolds equipped with a connection, a metric ( which may be Riemannian, pseudo-Riemannian, or Finsler ), a special sort of distribution ( such as a CR structure ), and so on.

Thus, a non-intuitive ( e. g., a higher-energy for at least one species ) distribution of electrons in the combination of iron and oxygen must exist, in order to explain the observed diamagnetism and no unpaired electrons.

Thus, there is the idea that in the capitalist mode of production the behaviour of actors in the market economy ( means of production, distribution and exchange, the relations of production ) plays the major role in configuring society.

Thus, liquid crystal sheets are often used in industry to look for hot spots, map heat flow, measure stress distribution patterns, and so on.

Thus the MPPC lost the ability to control the American film industry through patent licensing, and had to rely instead on its subsidiary, the General Film Company, formed in 1910, which monopolized film distribution in America.

Thus, measuring a quantum state described by complex coefficients ( a, b ,..., h ) gives the classical probability distribution and we say that the quantum state " collapses " to a classical state as a result of making the measurement.

Expected to make use of devices with which listeners could press a button to indicate whether they liked or disliked a particular piece of music, Adorno bristled with distaste and astonishment: “ I reflected that culture was simply the condition that precluded a mentality that tried to measure it .” Thus Adorno suggested using individual interviews to determine listener reactions and, only three months after meeting Lasarzfeld, completed a 160-page memorandum on the Project ’ s topic, “ Music in Radio .” Adorno was primarily interested in how the musical material was affected by its distribution through the medium of radio and thought it imperative to understand how music was affected by its becoming part of daily life.

Thus, if each person votes to get as much cake as possible, choice 4 would be third from the top in everyone's list, and would in any direct choice lose 2 to 1 against an unequal distribution.

Thus, the system can be analyzed with Schrödinger's equation and the guiding equation, with an initial distribution for the particles in the system ( see the section on the conditional wave function of a subsystem for details ).

Thus, the conditional probability distribution is:

Thus compatibility with data in the old format may need to be kept when switching to a different format, even when decoding from ( as with many MPEG formats ), or distribution in ( as has at least been planned with H. 264 ) the old format requires paying royalties.

A loss which exceeds the VaR threshold is termed a “ VaR break .” Thus, VaR is a piece of jargon favored in the financial world for a percentile of the predictive probability distribution for the size of a future financial loss.

Thus were born dedicated hydrographic organizations for the collection, organization, publication and distribution of hydrography incorporated into charts and sailing directions.

Thus, it provides the basis of an alternative route to analytical results compared with working directly with probability density functions or cumulative distribution functions.

Thus, education is the method by which to reform society, and there are few limits to the drastic social improvements that could be brought about by the appropriate distribution of education.

Thus, CO enables the efficient distribution of all other mechanisms, and also the distribution of a mix of different ( any ) local mechanisms, for achieving distributed and global serializability.

Thus the warden's duty in this respect was similar to that of the sheriff who received the writs for distribution to the barons in the shires.

Thus distribution of questions, the variety of topics, or the answers, risks losing the opportunity to compare, with precision, the candidates one-to-another.

Thus when " well-to-wheels " is cited, one should keep in mind that the discussion is no longer about the vehicle, but rather about the entire energy supply infrastructure-in the case of fossil fuels this should also include energy spent on exploration, mining, refining, and distribution.

Thus mutual information can also be understood as the expectation of the Kullback-Leibler divergence of the univariate distribution p ( x ) of X from the conditional distribution p ( x | y ) of X given Y: the more different the distributions p ( x | y ) and p ( x ), the greater the information gain.

Thus the A < sub > n </ sub >( 0 )'s satisfy the axioms for a probability distribution.

Thus, on the highroad, a troop of soldiers `` marched in their own dust and sang '', while on the footpath one man walks alone.

Thus in both types attention is focused on the community itself, and its phenomenological life.

Thus, there is an added incentive to stay on the job.

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

Thus, the client receives enough ego support to engage in constructive efforts on his own behalf.

Thus it is reasonable to believe that there is a significant difference between the two groups in their performance on this task after a brief `` structuring '' experience.

Thus he may be referring to some concrete thing, or incident, in his immediate environment by some symbolic-sounding, hyperbolic reference to transcendental events on the global scene.

Thus in a context in which there has been discussion of snow but mention of local conditions is new, dominant stress will probably be on here in it rarely snows here, but in a context in which there has been discussion of local weather but no mention of snow, dominant stress will probably be on snows.

Thus in it's incredible what that boy can eat dominant stress is likely to be on incredible, and eat will have strong stress also.

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, 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, when specifically permitted, the operand of a given line on the Autocoder coding sheet may be continued in the operand of from one to four additional lines which immediately follow.

Thus, when Dartmouth's Winter Carnival -- widely recognized as the greatest, wildest, roaringest college weekend anywhere, any time -- was broadcast over a national television hookup, Prexy John Sloan Dickey appeared on the screen in rugged winter garb, topped off by a tam-o'-shanter which he confessed had been acquired from a Smith girl.

Thus, moral issues concerning the nature of the legal and political processes take on theological dimensions.

Thus Baptist churches on the frontier took cognizance of charges against their members of drunkenness, fighting, malicious gossip, lying, cheating, sexual irregularities, gambling, horse racing, and failure to pay just debts.

Thus, the emperor could draw on sources not available to those with less puissant ancestors.

Thus there was really an excess of eighteenth-century charm as one of these light-weight pieces followed another on Saturday night.

Thus, giving grades and promotions based only on an individual's performance relative to a small local group, as is common, may reduce cooperative behaviors in the group.

Thus military expeditions employ anthropologists to discern strategic cultural footholds ; marketing professionals employ anthropology to determine propitious placement of advertising ; and humanitarian agencies depend on anthropological insights as means to fight poverty.

Thus, a Rabbi, a Catholic priest, and an agnostic might agree that, in this particular case, the best approach is to withhold extraordinary medical care, while disagreeing on the reasons that support their individual positions.

Thus agrarianism is not industrial farming, with its specialization on products and industrial scale.