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, a large amount of aggression occurs 5 – 15 minutes after a reunion.

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

Thus in the absence of the minimum wage law unskilled workers would be paid approximately the same amount.

Thus the Mary Rose was subject to salvage from the sixteenth century and later, but a very large amount of material, buried in the sediments, remained to be found by maritime archaeologists of the twentieth century.

Thus each shell of a given thickness will produce the same net amount of light regardless of how far away it is.

Thus there are two unknowns ( albedo and size ), which can be determined by two independent measurements ( of the amount of reflected light and emitted infrared heat radiation ).

Thus the variance is a measure of the amount of variation of the values of that variable, taking account of all possible values and their probabilities or weightings ( not just the extremes which give the range ).

Thus, the vocoder dramatically reduces the amount of information needed to store speech, from a complete recording to a series of numbers.

Thus the velocity can be measured from the amount of redshift ( or blueshift ) of the star's spectrum.

Thus cutting a cake, where taking a larger piece reduces the amount of cake available for others, is a zero – sum game if all participants value each unit of cake equally ( see marginal utility ).

Its change is equal to the amount of reversible work done on, or obtainable from, a system at constant T. Thus its appellation " work content ", and the designation A from Arbeit, the German word for work.

Thus, it is the proportionality factor that relates the molar mass of an entity, i. e., the mass per amount of substance, to the mass of said entity.

Thus over months-to-years, the net ( integrated ) amount of force is substantial, and is thought to be sufficient to speed interplanetary probes to velocities that could traverse the Earth-Pluto distance in 1 / 2 to 1 / 4 the time of a chemically accelerated vessel.

There is no sustained, mature analysis of the notion ..." Thus, some critics object, it would be acceptable to torture one person if this would produce an amount of happiness in other people outweighing the unhappiness of the tortured individual.

Thus the amount of the test substance required to produce the same biological effect as a given quantity the unit of a standard preparation is compared and the potency of the unknown is expressed as a % of that of the standard by employing a simple formula.

Thus phytoplankton are responsible for much of the oxygen present in the Earth's atmosphere – half of the total amount produced by all plant life.

Thus, in the above example, after an increase and decrease of percent, the final amount, $ 198, was 10 % of 10 %, or 1 %, less than the initial amount of $ 200.

Thus, astronomers measure the amount of light produced by an object as a function of time ( the light curve ).

Thus, as with all heat pumps, the Coefficient of Performance ( amount of thermal energy moved per unit of input work required ) decreases with increasing temperature difference.

: Thus, in Bergsland & Vogt ( 1962 ), the authors make an impressive demonstration, on the basis of actual language data verifiable by extra-linguistic sources, that the " rate of change " for Icelandic constituted around 4 % per millennium, whereas for closely connected Riksmal ( Literary Norwegian ) it would amount to as much as 20 %.

Thus, if a company is sued for monopolizing a market and the jury concludes the conduct resulted in consumers ' being overcharged $ 200, 000, that amount will automatically be tripled, so the injured consumers will receive $ 600, 000.

Thus, the plate will contain enzyme in proportion to the amount of secondary antibody bound to the plate.

Thus, tuning was a relatively slow operation, and composers had to allow a reasonable amount of time for players to change notes if they were called to tune in the middle of a work.

Thus, unless the quantity of newsprint used each year worldwide declines to reflect the lost fiber, a certain amount of new ( virgin ) fiber is required each year globally, even if the individual newsprint mill may continue to use 100 % recycled fiber.