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.

Thus less energy is needed in the smaller nuclei and the difference to the state before is set free.

Thus, when the fluid finally does strike the object, it is forced to change its properties -- temperature, density, pressure, and Mach number -- in an extremely violent and irreversible fashion called a shock wave.

Thus, union density provides a rough picture of union membership only ; it does not account for the circumstance that in some countries, also many persons under education, many unemployed persons, many retired persons and / or many persons who had to leave work due to occupational injuries may also be union members.

Thus the observed radiation density ( the sky brightness of extragalactic background light ) can be independent of finiteness of the Universe.

Thus the constant has dimension density < sup >− 1 </ sup > time < sup >− 2 </ sup >.

Thus the density of atoms is on the order of a single hydrogen atom for every four cubic meters of volume.

Thus the noise temperature is proportional to the power spectral density of the noise,.

Thus the curl is the circulation density.

Thus the combined size of all the instructions needed to perform a particular task, the code density, was an important characteristic of any instruction set.

Thus at 100 K the energy flux density is 5. 67 W / m < sup > 2 </ sup >, at 1000 K 56, 700 W / m < sup > 2 </ sup >, etc.

) Thus there is a unitary freedom in the ket mixture or ensemble that gives the same density operator.

Thus the act of measurement induces a fundamental irreversible change on the density matrix ; this is analogous to the " collapse " of the state vector, or wavefunction collapse.

Thus polypeptides after treatment become rod-like structures possessing a uniform charge density, that is same net negative charge per unit length.

Thus, for example, an electric field of one statvolt / cm has the same energy density as a magnetic field of one gauss.

Thus the speed of sound increases with the stiffness ( the resistance of an elastic body to deformation by an applied force ) of the material, and decreases with the density.

Thus, its population density is 657 inhabitants per km².

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

Thus, the lower the density of the substance, the farther the hydrometer will sink.

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, plasmons are collective oscillations of the free electron gas density, for example, at optical frequencies.

In simple terms, the principle states that the buoyancy force on an object is going to be equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. Thus, among completely submerged objects with equal masses, objects with greater volume have greater buoyancy.

Thus the current view of the nuclear atom-a structure with a positively charged center ( nucleus ) of high density and negatively charged electron particles moving around the nucleus at relatively large distances compared to the nuclear radius-was created.

In simple terms, the principle states that the buoyant force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational constant, g. Thus, among completely submerged objects with equal masses, objects with greater volume have greater buoyancy.

Thus, if we have a further equation that dictates how the pressure and density vary with respect to one another, we can reach a solution.

Thus, beyond this point, either the host structure must expand to accommodate the interstitials ( which compromises the overall density ), or rearrange into a more complex crystalline compound structure.