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 combined efficiency of the elements replaced by the two fiber plates ( with a combined efficiency of 0.25 ) is 0.043 or about six times less than that of the two fiber plates.

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

Thus, while altruistic persons may under some circumstances be outcompeted by less altruistic persons at the individual level, according to group selection theory the opposite may occur at the group level where groups consisting of the more altruistic persons may outcompete groups consisting of the less altruistic persons.

Thus, the Kolmogorov complexity of the raw file encoding this bitmap is much less than 1. 62 million.

Thus with the expansion of the universe, radiation becomes less dominant than matter.

Thus the castrati came to supplant both boys ( whose voices broke after only a few years ) and falsettists ( whose voices were weaker and less reliable ) from the top line in such choirs.

Thus the Rump never had more than two hundred members ( less than half the number of the Commons in the original Long Parliament ).

Thus, much of the spirits used in making a Canadian whisky, prior to aging, may have less grain-derived flavour than typical single malts or U. S. " straight " whiskeys.

Thus normalization is less utilized in practice than the ERM method.

Thus cannot be too little, less than some constant.

Thus Engset's equation should be used when the source population is small ( say less than 200 users, extensions or customers ).

Thus, according to Étienne Boileau's Book of Handicrafts, by the mid-13th century there were no less than 100 guilds in Paris, a figure which by the 14th century had risen to 350.

Hence, those with less pigmented skin survived and had children at higher rates because their skin allowed more UV light for the production of vitamin D. Thus, the skin of those in the group that left the African continent and went far north gradually developed adaptations for relatively greater translucence compared to equatorial hues.

Thus, Sterne lost his chances for clerical advancement but discovered his real talents ; until the completion of this first work, " he hardly knew that he could write at all, much less with humour so as to make his reader laugh ".

Thus the fractal dimension of the universe would need to be less than 2 for this explanation to work.

Thus, Biblical poetry relies much less on metrical feet to create rhythm, but instead creates rhythm based on much larger sound units of lines, phrases and sentences.

Thus a is considered to be a parameter: it is less variable than the variable x or y, but it is not an explicit constant like the exponent 2.

Thus, as an event marker of 1950s water in soil and ground water, < sup > 36 </ sup > Cl is also useful for dating waters less than 50 years before the present.

Thus, sexual selection takes two major forms: intersexual selection ( also known as ' mate choice ' or ' female choice ') in which males compete with each other to be chosen by females ; and intrasexual selection ( also known as ' male – male competition ') in which members of the less limited sex ( typically males ) compete aggressively among themselves for access to the limiting sex.

Thus, the so-called blub paradox ( after a hypothetical programming language of average complexity called ' Blub ') says that anyone preferentially using some particular programming language will ' know ' that it is more powerful than some, but not that it is less powerful than others.

Thus, when these stars expand and cool, they do not brighten as much as lower mass stars ; however, they were much brighter than lower mass stars to begin with, and are thus still brighter than the red giants formed from less massive stars.

Thus, the energy transferred from the arc to the anode was partly fed back into the arc.

Thus, the binding energy to contain or trap a particle in a smaller region of space, increases without bound, as the region of space grows smaller.

Thus, the energy required to break any single pair is related to the energy required to break all of the pairs ( or more than just two electrons ).

Thus it can be interpreted without any reference to the zero-point energy ( vacuum energy ) or virtual particles of quantum fields.

Thus, any electromagnetic radiation can " heat " ( in the sense of increase the thermal energy termperature of ) a material, when it is absorbed.

In the field of high-energy particle physics, the fundamental velocity unit is the speed of light c. Thus, dividing energy in eV by the speed of light in vacuum, one can describe the momentum of an electron in units of eV / c.

Thus, it is this semi-empirical formula for bond energy that underlies Pauling electronegativity concept.

Thus, explosives are substances that contain a large amount of energy stored in chemical bonds.

Thus, a piece of iron in its lowest energy state (" unmagnetized ") generally has little or no net magnetic field.

Thus a vast and elaborate house may serve as a sign of conspicuous wealth, whereas a low-profile house built of recycled materials may indicate support of energy conservation.

Thus, if an optical brightener or color enhancer absorbs light energy and emits it through or with the dye, the appearance changes, as the spectrum of light re-emitted to the observer changes.

Thus the engine expended much of its energy in repeatedly heating the cylinder rather than in delivering mechanical force.

Thus, although the joule has the same dimensions as the newton-metre ( 1 J = 1 N · m = 1 kg · m < sup > 2 </ sup >· s < sup >− 2 </ sup >), these units are not interchangeable as the newton-metre ( N · m ) is the unit of torque and joule the unit of energy.

Thus, electrons are found in specific energy levels of an atom, two of which are shown below:

) Thus lighting energy accounts for about four or five million barrels of oil ( equivalent ) per day.

Thus commercial lighting alone consumes about four to five million barrels per day ( equivalent ) of petroleum, in line with the alternate rationale above to estimate U. S. lighting energy consumption.

Thus the psychopathologized individual for Freud was an immature individual, and the goal of psychoanalysis was to bring these fixations to conscious awareness so that the libido energy would be freed up and available for conscious use in some sort of constructive sublimation.

Thus, conservation of four-momentum is Lorentz-invariant and implies conservation of both mass and energy.

Thus, energy is no longer released when such nuclei are made by fusion ; instead, energy is absorbed in such processes.

Thus, an additional 6 % of the total energy of fission is also released eventually as non-prompt ionizing radiation, and this is about evenly divided between gamma and beta ray energy.