Thus, for instance, if a piece of wood is burned to ashes, the total mass remains unchanged.

Thus, each Spruance-class destroyer originally carried a maximum total of 24 ASROC.

Thus while bumblebees have been found to be about ten times more efficient pollinators on cucurbits, the total efficiency of a colony of honey bees is much greater due to greater numbers.

Thus, the total force applied to a body or to a portion of the body can be expressed as:

Thus, the total applied torque about the origin is given by

Thus, complete meaning is always " differential " and postponed in language ; there is never a moment when meaning is complete and total.

Thus, if n < sub > r </ sub > is the average number of times a new civilization reappears on the same planet where a previous civilization once has appeared and ended, then the total number of civilizations on such a planet would be ( 1 + n < sub > r </ sub >), which is the actual reappearance factor added to the equation.

Thus, the total of entropy of the room plus the entropy of the environment increases, in agreement with the second law of thermodynamics.

Thus, if is the total number of trials and is the number of trials where the event occurred, the probability of the event occurring will be approximated by the relative frequency as follows:

Thus, total memory capacity available to the CDH subsystem was 176K of RAM: 144K allocated to the spun side and 32K to the despun side.

Thus the total revenue curve for a competitive company is a ray with a slope equal to the market price.

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 total population of the country in 2004 amounted to 3, 938, 679.

Thus midwives potentially could have had up to 5 years of total training.

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 the total light received from the second shell is the same as the total light received from the first shell.

Thus in determining whether to shut down a firm should compare total revenue to total variable costs ( VC ) rather than total costs ( FC + VC ).

Thus the total magnetization drops to zero when the applied field is removed.

Thus, Congo is one of the most urbanized countries in Africa, with 85 % of its total population living in a few urban areas, namely in Brazzaville, Pointe-Noire, or one of the small cities or villages lining the 332-mile railway which connects the two cities.

Thus the grand total of losses amounted to 8, 668, 400.

Thus, the urban development ( i. e., buildings ) is optimized to occupy less than 50 % of the total area, while the rest is reserved for open space, including the Vatican Gardens.

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