Thus a more detailed analysis of the bubble's motion is needed beyond Rayleigh-Plesset to explore the additional energy focusing that an internally formed shock wave might produce.

Thus, before 10 years ago when more detailed studies started, it was considered that there could be anywhere from 2-4 genera within the Actinidiaceae.

Thus it provides an intense, detailed exploration of its subject, providing to some degree both the concentrated focus of the short story and the broad scope of the novel.

Thus, the folklorist Anatole Le Braz gives a detailed account of one ballad singer, Yann Ar Minouz, who wrote and performed songs traveling through Brittany in the late nineteenth century and selling printed versions.

Thus, although Gelukpa scholars give detailed intepretations of the systems of breath meditation set forth in Vasubandu's and Asaṅga's texts, they may not fully account for the higher stages of breath meditation set forth in those texts.

Thus the detailed balance equations are satisfied, implying the chain is reversible and it has invariant distribution.

Thus for a more detailed view, the crater must be viewed from orbit.

Thus, from the view-point of the meaning too, this word can be a suitable title for this Surah, for in it the detailed story of the Prophet Moses has been related.

Thus the safety factor dramatically impacts company fortunes and is often worth the additional engineering expense required for detailed analysis and implementation.

Thus, in order to reduce the time required for analysis, less detailed systems ( like MTM-B and MaxiMOST ) are usually used when possible.

( See the most detailed explanation and exposition of this term in Epshtein's articles " Theses on Metarealism and Conceptualism ", " A Catalogue of the New Poetries " ( Russian version ) and in its English version Thus, " meta " means both " through " and " beyond " the reality that we all can see ; hence, " metarealism " is the realism of the hyperphysical nature of things.

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

Thus, a more detailed study would examine changes to the whole of the marginal distribution.

Thus, it is not your own train moving, but the neighboring train.

Thus, the eight items of the path are not to be understood as stages, in which each stage is completed before moving on to the next.

Thus, the third phase of the war ( roughly August 1920 – July 1921 ) involved the IRA taking on a greatly expanded British force, moving away from attacking well defended barracks and instead using ambush tactics.

Thus accounts such as that of the miraculous " Image Not Made by Hands ", and the weeping and moving " Mother of God of the Sign " of Novgorod are accepted as fact: " Church Tradition tells us, for example, of the existence of an Icon of the Savior during His lifetime ( the " Icon-Made-Without-Hands ") and of Icons of the Most-Holy Theotokos immediately after Him.

Thus when there are many molecules in the gas, there will be an equal number moving in one direction as any other hence demonstrating isotropy.

Thus, everything in the universe can be considered to be moving.

Thus the solar system is moving.

Thus the molecules and atoms which make up the human body are vibrating, colliding, and moving.

Thus there will be a way in which the electron travels to C, emits a photon there and then absorbs it again at D before moving on to B.

Thus, moving from A to D enables you to make one person better off without making anyone else worse off ( Pareto improvement ).

Thus, intuitively we could interpret the fraction of as representing the ratio of the labor one has to perform when going from a randomly chosen configuration to another randomly chosen configuration, relative to the difficulty of having to cross the " most difficult " path of length which involves moving all the disks from one peg to another.

Thus, they are usually dealing with populations living in specific locales for generations without moving, but also with immigrant groups bringing their languages to new settlements.

Thus a transition between positions can never result in a better evaluation for the moving player and a perfect move in a position would be a transition between positions that are equally evaluated.

Thus, the emf has the same value but opposite sign as the integral of the electric field aligned with an internal path between two terminals A and B of a source of emf in open-circuit condition ( the path is taken from the negative terminal to the positive terminal to yield a positive emf, indicating work done on the electrons moving in the circuit ).

Thus it can be seen that e-learning is moving rapidly from the margins to being a predominant form of post-secondary education, at least in the USA.

However, according to the NAIRU, exploiting this short-run tradeoff will raise inflation expectations, shifting the short-run curve rightward to the " New Short-Run Phillips Curve " and moving the point of equilibrium from B to C. Thus the reduction in unemployment below the " Natural Rate " will be temporary, and lead only to higher inflation in the long run.

Thus, the mass of a system of several photons moving in different directions is positive, which means that an invariant mass exists for this system even though it does not exist for each photon.

Thus, in the Aristotelian view, a projectile moving through the air would owe its continuing motion to eddies or vibrations in the surrounding medium, a phenomenon known as antiperistasis.

Thus, it is not a standard which deals with the actual encoding of moving pictures and audio, like MPEG-1, MPEG-2 and MPEG-4.

Thus all rest-massive objects can be thought of as moving through spacetime at the speed of light.

Thus, the faster the gas particles are moving, the more likely they are to pass through the effusion orifice.

Thus, when Otis Elevator Company advertised that it offered " the latest in elevator and escalator design ," it was using the well-known generic term elevator and Otis's trademark " Escalator " for moving staircases in the same way.

Thus the connection ∇ defines a way of moving elements of the fibers along a curve, and this provides linear isomorphisms between the fibers at points along the curve:

Thus the duration of the clock cycle of a moving clock is found to be increased: it is measured to be " running slow ".

Thus there is no transverse Doppler shift, and the lower frequency of the moving source can be attributed to the time dilation effect alone.

Thus for a short time, hardware producers created proprietary implementations of local busses on their motherboards to give graphics cards direct access to the processor and system memory-and avoid the limitations of the ISA bus.

Thus most game designs through the 1980s were designed through a hard-coded ruleset with a small amount of level and graphics data.

Thus unlike every other version of the game, Duke Nukem cannot turn ; he can only move forwards, backwards, and strafe left or right whilst scaling the graphics larger and smaller.

Thus 17 ( 14 + 3 additional color interpretations for mode F ) recognizably different graphics modes are available.

Thus, an impression of 3-dimensional graphics is achieved.

Thus, real-time graphics is oriented toward providing as much performance as possible for the lowest quality possible for a given class of hardware.

Thus, the performance measured is that of the CPU, RAM, and compiler, and does not test I / O, networking, or graphics.

Thus increasing fps makes graphics smooth.