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, 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, entropy is also a measure of the tendency of a process, such as a chemical reaction, to be entropically favored, or to proceed in a particular direction.

Thus, this angular arrangement sees a decrease in the net positional entropy of the approaching cylinder ( there are fewer states available to it ).

Thus, we can interpret Boltzmann's constant as being simply the expression ( in terms of more standard physical units ) of the abstract logarithmic unit that is needed to convert the dimensionless pure-number quantity ln W ( which uses an arbitrary choice of base, namely e ) to the more fundamental pure logarithmic quantity Log ( W ), which implies no particular choice of base, and thus no particular choice of physical unit for measuring entropy.

Thus, the maximum entropy principle is not just an alternative to the methods of inference of classical statistics, but it is an important conceptual generalization of those methods.

Thus the entropy released or absorbed by the system is actually the entropy that the environment must absorb or release respectively.

Thus the reaction will only be allowed if the total entropy change of the universe is equal to zero ( a Thermal equilibrium state ) or positive.

Thus, as the number of energy states increases, the energy of the system will be spread among more and more states, thereby increasing the entropy of the system.

Thus, negentropy has units when defined based on specific entropy per unit mass, and when defined based on specific entropy per unit energy.

Onsager ( 1931, I ) wrote: " Thus the vector field J of the heat flow is described by the condition that the rate of increase of entropy, less the dissipation function, be a maximum.

Thus, by maximizing the entropy over a suitable set of probability distributions on X, one finds the distribution that is least informative in the sense that it contains the least amount of information consistent with the constraints that define the set.

Thus, in going from the unbound to the bound state, the first oxygen must overcome a larger entropy change than the last oxygen.

Thus, address space randomization is more effective when more entropy is present in the random offsets.

Thus the joint entropy of the combined system is less than that of subsystems.

Thus, the agglomeration of two m-ary variables and having individual entropies and yields a single-ary variable with entropy.

Thus, the entropy of this example is low.

Thus, we ( and physical observers generally ) always accumulate some uncertainty about the state of physical systems, even if the system's true underlying dynamics is a perfectly reversible one that is subject to no entropy increase if viewed from a hypothetical omniscient perspective in which the dynamical laws are precisely known.

There are several " pools " of entropy ; each entropy source distributes its alleged entropy evenly over the pools ; and ( here is the key idea ) on the nth reseeding of the generator, pool k is used only if 2 < sup > k </ sup > divides n. Thus, the kth pool is used only 1 / 2 < sup > k </ sup > of the time.

Thus systems that can take multiple configurations at or near absolute zero are said to have residual entropy.

Thus, the principle of detailed balance is a sufficient but not necessary condition for the entropy growth in the Boltzmann kinetics.

Thus if the instrument depends on the pressure or suction effect alone, and this pressure or suction is measured against the air pressure in an ordinary room, in which the doors and windows are carefully closed and a newspaper is then burnt up the chimney, an effect may be produced equal to a wind of 10 mi / h ( 16 km / h ); and the opening of a window in rough weather, or the opening of a door, may entirely alter the registration.

Thus, while in an ordinary ( finite ) hotel with more than one room, the number of odd-numbered rooms is obviously smaller than the total number of rooms.

Thus the B Series, introduced for 1971, offered both car-like comfort in its Sportsman passenger line or expansive room for gear and materials in its Tradesman cargo line.

Thus, Creo Ignem spells create fire ( or light, or warmth ); a Perdo Ignem spell may quench a fire, create darkness, or drop the temperature in a room.

Thus, the bow room corresponds exactly to the saloon in terms of its importance to the two smaller suites.

Thus, when the antibody is added, there is no room on the membrane for it to attach other than on the binding sites of the specific target protein.

Thus, the skeptic will, for example, believe the proposition that " Dion is in the room " if sense-data and ordinary reasoning led to the emergence of such a belief.

Thus, the Pyrrhonian does not assent to the proposition " Dion is in the room " in a dogmatic way as that would purport to describe a non-evident reality which lies beyond the " appearance " phainomenon of Dion being in the room.

Thus, in the early 1920s the growing University had to look for a more spacious campus as its original site at George Street, Brisbane has limited room for expansion.

Thus, since the velocity of sound is approximately 343 m / s at a normal room temperature of about 25 ° C, the reflecting object must be more than 11. 3 m from the sound source at this temperature for an echo to be heard by a person at the source.

Thus, the correct room acoustics and arrangement of the equipment inside a mastering studio is an important factor since the mastering engineer ( ME ) needs to hear each mix in detail.

Thus, originalists often conceal their choice between levels of generality or possible alternative meanings as required by the original meaning when there is considerable room for disagreement.

Thus there is always room for new input into the system, which gives scope for free will.

Thus we may debate how well a particular government fits the concept of democracy, but there is no room for debate over whether a given sequence of moves is or is not a valid game of chess.

Thus, there is little room for error.

Thus, while normal graphite is reduced to a powder by a mixture of concentrated sulfuric and nitric acids at room temperature, glassy carbon is unaffected by such treatment, even after several months.

Thus little effort was invested in equipping the V-1710 with a reasonable supercharger, and when placed in aircraft designs like the P-39 or P-40 which lacked the room for a turbo the engine suffered tremendously at higher altitudes.

Thus, no matter how " deep " the tree may be, there is always room for more nodes, and the geometry of a subtree is unrelated to its position in the whole tree.

Thus, the object must be left 20 minutes to reach room temperature.

Thus, Elan tries to kill Han by using the last of her bo ' tous spores on him, acknowledging her mission to kill as many Jedi as possible a failure, but Elan is denied even that victory when both she and Han stumble into a sealed room and Han pulls on a breathing mask that protects him against the spores.

Thus she tried to avoid going out as much as possible, usually confining herself to her room.

And in 1934, Ernst Krebs wrote :“ Thus now still stands Saint George ’ s sanctuary so lonely and forlorn there below as it did hundreds of years ago, and if one enters the church ’ s humble interior, one feels in this room as if sent back to a vanished time and only a train abruptly roaring by destroys the illusion and recalls the gap that divides the beginnings of the old place of worship from the present.

Thus the green room may refer to the green plants in this stage preparation area.