Thus, a low intensity of hypothalamic-cortical discharges prevails in sleep and a high one during wakefulness, resulting in synchronous EEG potentials in the former and asynchrony in the latter condition.

Thus, two drawbacks to elution mode chromatography, especially at the preparative scale, are operational complexity, due to gradient solvent pumping, and low throughput, due to low column loadings.

Thus, a too high or too low temperature will result in stellar instability.

Thus, a particular transistor may be described as silicon, surface mount, BJT, NPN, low power, high frequency switch.

Thus the Schrödinger equation may be seen as the far non-relativistic approximation of the Dirac equation when one may neglect spin and work only at low energies and velocities.

Thus, if the sun is low in the sky, reflected light is mostly s-polarized.

Thus, a circuit with a low power factor will use higher currents to transfer a given quantity of real power than a circuit with a high power factor.

Thus, even though her father was a duke, Catherine was of relatively low birth.

The absolute number of cancer cases attributed to exposure to gasoline, however, is low, estimated a few cases per year in the U. S. Thus, the decision to require fewer aromatics has been criticized on the grounds of opportunity cost: the hundreds of millions of dollars spent on process redesign could have been spent on other, more fruitful ways of reducing deaths caused by cancer or automobiles.

Thus, in the limit of ideal gas behavior ( which many gases approximate except at low temperatures and / or extremes of pressure ) this property reduces differences in gas volumetric heat capacity to simple differences in the heat capacities of individual molecules.

However, the structural changes associated with the later stages of industrial capitalism, including " increased centralization of production ... declining wages ... expanding ... labor pool ... intensifying competition, and ... he loss of competence and independence experienced by skilled labor " meant that " a critique that referred to all work as slavery and avoided demands for wage concessions in favor of supporting the creation of the producerist republic ( by diverting strike funds towards funding ... co-operatives, for example ) was far less compelling than one that identified the specific conditions of slavery as low wages ..." Thus, " wage slavery " was gradually replaced by the more pragmatic term " wage work " towards the end of the 19th century.

Thus the thermal conductivity of nonmetals is approximately constant at not too low temperatures.

Thus the lack of single-gene control ( or simple inheritance ) results in low trait heritability ( Zumelzú et al.

Thus, when a differential amplifier is used to extract this difference, its output constitutes the low pass filter section.

Thus, the most valuable information is gathered by running the engine at high speed and full load, immediately cutting the ignition off and stopping without idling or low speed operation and removing the plugs for reading.

Thus nearly half the city's area is agricultural, resulting in a low population density of approximately 900 inhabitants per km².

Thus low amounts of Mg lead to a decrease in photosynthetic and enzymatic activity within the plants.

Thus, two drawbacks to elution mode chromatography, especially at the preparative scale, are operational complexity, due to gradient solvent pumping, and low throughput, due to low column loadings.

Thus it became rarer and rarer to see any low numbers.

Thus they are routinely seen in low cost applications such as factory car speakers, shelf stereo systems, and boom boxes.

Thus, it is typically seen only in small organisms, such as bacteria and yeast, that can survive on this low energy yield.

Thus, the distant and cold Titan, Triton, and Pluto are able to retain their atmospheres despite relatively low gravities.

Thus, those with low levels may need only short leg braces, whereas those with higher levels do best with a wheelchair, and some may be able to walk unaided.

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.

The evaluation order does not affect the value of such expressions, and it can be shown that the same holds for expressions containing any number of operations .< ref > Thus, when is associative, the evaluation order can be left unspecified without causing ambiguity, by omitting the parentheses and writing simply:

Thus, judgments of aesthetic value can become linked to judgments of economic, political, or moral value.

Thus, all the antiderivatives of x < sup > 2 </ sup > can be obtained by changing the value of C in F ( x ) = ( x < sup > 3 </ sup >/ 3 ) + C ; where C is an arbitrary constant known as the constant of integration.

Thus for an ion which traverses a 1 m flight path, across a time of 2000 ns, given an initial accelerating voltage of 5000 V and noting that one amu is 1 × 10 < sup >− 27 </ sup > kg, the mass-to-charge ratio ( more correctly the mass-to-ionisation value ratio ) becomes Z amu / charge.

Thus, what is known as the extreme value theorem in calculus generalizes to compact spaces.

Thus the discounted present value ( for one cash flow in one future period ) is expressed as:

Thus, some individuals and institutions will enter into a derivative contract to speculate on the value of the underlying asset, betting that the party seeking insurance will be wrong about the future value of the underlying asset.

Thus, change in enthalpy, ΔH, is a more useful quantity than its absolute value.

Thus when fiat money is printed, government obligations that are not denominated in money increase in cost by more than the value of the money created.

Thus the 32-bit integer and 32-bit floating-point objects can simply use the value directly ; whereas the 64-bit integer and 64-bit floating-point cannot use this method.

Thus, measurement of the tension in the string identifies the inertial frame: it is the one where the tension in the string provides exactly the centripetal force demanded by the motion as it is observed in that frame, and not a different value.

Thus, there may sometimes be confusion about the blade lengths, depending on which shaku value is being assumed when converting to metric or US measurements.

Thus, many organizations are rediscovering the value of both their legacy systems themselves and those systems ' philosophical underpinnings.

Thus, on April 28, 2006, after the unofficial repeal of the French First Employment Contract ( CPE ), the Longjumeau ( Essonne ) conseil des prud ' hommes ( labour law court ) judged the New Employment Contract ( CNE ) contrary to international law, and therefore " illegitimate " and " without any juridical value ".

Thus the total revenue curve for a monopoly is a parabola that begins at the origin and reaches a maximum value then continuously decreases until total revenue is again zero.

Thus, the variable named ' Car ' can have subscripts " Door ", " Steering Wheel " and " Engine ", each of which can contain a value and have subscripts of their own.

Thus, the effect of using this procedure is to make activity equal to the numerical value of concentration.

Thus, in giving a speech in defense of a poet whose Roman citizenship had been questioned, the orator should examine not only the specifics of that poet's civic status, he should also examine the role and value of poetry and of literature more generally in Roman culture and political life.

Thus an RGB value does not define the same color across devices without some kind of color management.

Thus creating value for the firm, as Debt is thought to be a cheaper source of finance.

Thus, while most organic acids are deprotonated by the ionization of a polar hydrogen-to-oxygen bond, usually accompanied by some form of resonance stabilization ( resulting in a carboxylate ion ), uric acid is deprotonated at a nitrogen atom and uses a tautomeric keto / hydroxy group as an electron-withdrawing group to increase the pK < sub > 1 </ sub > value.

Thus, the moral value of one-celled organisms, as well as some multi-cellular organisms, and natural entities like a river, is only in the benefit they provide to sentient beings.