Thus the complexity of a digital filter and the computing time involved, grows inversely with, placing a higher cost on filter functions which better approximate the desired behavior.

Thus, the passive deaths following custody restraint presumed to be due to positional asphyxia after being secured by mechanical restraints may actually be examples of active restraint asphyxia occurring during the process of placing restraints.

Thus, Lester Grabbe points to a number of parallels between the Azazel narrative in 1 Enoch and the wording of Leviticus 16, including “ the similarity of the names Asael and Azazel ; the punishment in the desert ; the placing of sin on Asael / Azazel ; the resultant healing of the land .” Daniel Stökl also observes that “ the punishment of the demon resembles the treatment of the goat in aspects of geography, action, time and purpose .” Thus, the place of Asael ’ s punishment designated in 1 Enoch as Dudael is reminiscent of the rabbinic terminology used for the designation of the ravine of the scapegoat in later rabbinic interpretations of the Yom Kippur ritual.

Thus an image cannot be seen by placing a screen at the position of the virtual image.

Thus, each pattern may have a statement that is referenced to another pattern by placing that pattern's number in brackets, for example :( 12 ) means go to the Community of 7, 000 pattern.

Thus, when planting seeds, placing a reflective polyethylene mulch on planting beds will significantly reduce the rate of colonization.

Thus, the epoch of Saint Apollinaris may be estimated as possibly to the last decades of the 2nd century, placing his martyrdom possibly under Emperor Septimius Severus.

Thus, even if an attacking team is unable to score they can regain another set of chances to score by forcing the defending team to perform either of the above two moves ; accomplish by placing a kick into the in-goal area.

Thus, placing the two divinities of Venus and Rome back-to-back in a single temple created a further symmetry with the back-to-back symmetry of their names as well.

Thus, on the highroad, a troop of soldiers `` marched in their own dust and sang '', while on the footpath one man walks alone.

Thus in both types attention is focused on the community itself, and its phenomenological life.

Thus, there is an added incentive to stay on the job.

Thus, an enemy would probably use this weapon for attack on static population centers such as large cities.

Thus, the client receives enough ego support to engage in constructive efforts on his own behalf.

Thus it is reasonable to believe that there is a significant difference between the two groups in their performance on this task after a brief `` structuring '' experience.

Thus he may be referring to some concrete thing, or incident, in his immediate environment by some symbolic-sounding, hyperbolic reference to transcendental events on the global scene.

Thus in a context in which there has been discussion of snow but mention of local conditions is new, dominant stress will probably be on here in it rarely snows here, but in a context in which there has been discussion of local weather but no mention of snow, dominant stress will probably be on snows.

Thus in it's incredible what that boy can eat dominant stress is likely to be on incredible, and eat will have strong stress also.

Thus in Mary wrote an account of the trip first strong stress on Mary marks Mary as the first in a series of people who wrote accounts of the trip, strong stress on wrote marks the writing as the first of a series of actions of Mary's concerned with an account of her trip ( about which she may later have made speeches, for example ), and strong stress on trip makes the trip the first of a series of subjects about which Mary wrote accounts.

Thus, in the example cited above Fromm rests his whole case on the premise that the workers are being deprived unconsciously, unknowingly, of fulfillment, and then supports this with survey data reporting conscious, experienced frustrations.

Thus, when specifically permitted, the operand of a given line on the Autocoder coding sheet may be continued in the operand of from one to four additional lines which immediately follow.

Thus, when Dartmouth's Winter Carnival -- widely recognized as the greatest, wildest, roaringest college weekend anywhere, any time -- was broadcast over a national television hookup, Prexy John Sloan Dickey appeared on the screen in rugged winter garb, topped off by a tam-o'-shanter which he confessed had been acquired from a Smith girl.

Thus, moral issues concerning the nature of the legal and political processes take on theological dimensions.

Thus Baptist churches on the frontier took cognizance of charges against their members of drunkenness, fighting, malicious gossip, lying, cheating, sexual irregularities, gambling, horse racing, and failure to pay just debts.

Thus, the emperor could draw on sources not available to those with less puissant ancestors.

Thus there was really an excess of eighteenth-century charm as one of these light-weight pieces followed another on Saturday night.

Thus, giving grades and promotions based only on an individual's performance relative to a small local group, as is common, may reduce cooperative behaviors in the group.

Thus military expeditions employ anthropologists to discern strategic cultural footholds ; marketing professionals employ anthropology to determine propitious placement of advertising ; and humanitarian agencies depend on anthropological insights as means to fight poverty.

Thus, a Rabbi, a Catholic priest, and an agnostic might agree that, in this particular case, the best approach is to withhold extraordinary medical care, while disagreeing on the reasons that support their individual positions.

Thus agrarianism is not industrial farming, with its specialization on products and industrial scale.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

Thus, several civilizations may come and go during the lifespan of one and the same planet.

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, environmental sustainability demands that society designs activities to meet human needs while indefinitely preserving the life support systems of the planet.

Thus, the need to use stars close to the ecliptic (± 9º of latitude ) as a set of observational reference points to help positioning a planet within this ecliptic coordinate system.

Thus, it was explained by the early 1950s that Kryptonians were powerless on their own planet, and would gain super powers only within a lower gravity environment.

Thus, the failed search for a trans-Plutonian planet by T. C.

Thus, there must be some way to accelerate the spacecraft when it reaches that outer planet if it is to enter orbit about it.

Thus one side of the planet is always in light, and the other in darkness.

Thus, the writer arranged the planet so its northern hemisphere's midsummer occurs when it is nearest its sun.

Thus, the northern hemisphere would develop a large frozen methane cap during most of its year ; the southern hemisphere ( where most creatures live ) is protected from the sun's closest approach by the rest of the planet.

Thus, the 28th minor planet discovered in the second half of March 1950 would be.

Thus Vir did not have to kill Londo and the planet was spared.

Thus an orbiting instrument can in principle map the surface distribution of the elements for an entire planet.

Thus, the term could suggest that a dwarf planet is a type of planet, even though the IAU explicitly defines a dwarf planet as not so being.

Thus the mri were found by the regul, a race of traders from Nurag, a planet of the Mab system.

Thus, in the Kepler problem, the angular momentum of a planet about the sun is conserved and the areal velocity is a vector of constant magnitude perpendicular to the orbital plane.

Thus a small body can move back and forth between a leading and a trailing position, never approaching too close to the planet that dominates the region.

Thus, if a day is labelled by the planet which dominates its first hour, then Saturn's day is followed by the Sun's day, which is followed by the Moon's day, and so forth, as shown below.

Thus, so far it appears that an Earth-like planet could easily orbit the star without any complications caused by a gravitationally perturbing body.