Thus far the advances made have been almost entirely along functional lines.

Thus, almost all positive integers are composite ( not prime ), however there are still an infinite number of primes.

Thus, OR1 and OR2 are almost always simultaneously occupied by cI.

Thus, while there was a good measure of debate in the Early Church over the New Testament canon, the major writings are claimed to have been accepted by almost all Christians by the middle of the 3rd century.

Thus, null sets may be interpreted as negligible sets, defining a notion of almost everywhere.

Thus, reasoned Oort, a comet could not have formed while in its current orbit, and must have been held in an outer reservoir for almost all of its existence.

Thus if an event or its complement almost surely occurs, it is independent of itself.

Thus, while it is hypothesized to exist and comprise the vast majority of matter in the universe, almost all of its properties are unknown and a matter of speculation, because it has only been observed through its gravitational effects.

Thus, an order for opium tincture containing directions in teaspoons is almost certainly in error.

Thus, when hyperthyroidism is confirmed, or when blood results are inconclusive, thyroid antibodies should be measured ( almost all patients with Graves ' hyperthyroidism have detectable TSHR-Ab levels ).

Thus, the new definition of trademark in India broadly encompasses almost all the elements of trade dress under the US law.

Thus, almost no Soviet employees or managers had firsthand experience with decision-making in the conditions of a market economy.

Thus, appointing Murphy would almost certainly cost the ALP a Senate seat at the next half-Senate election.

Thus they can be placed behind enemy lines, and have the capability to deploy almost anywhere with little warning.

Thus, English names for creatures not native to Great Britain are almost always loanwords.

Thus a thin 2-dioptre lens placed close to a thin 0. 5-dioptre lens yields almost the same focal length as a 2. 5-dioptre lens would have.

Thus, if leadership amounts to getting the greatest number of followers, then among the bonobos, a female almost always exerts the strongest and most effective leadership.

Within the class P, however, polynomial-time reductions are inappropriate, because any problem in P can be polynomial-time reduced ( both many-one and Turing ) to almost any other problem in P. Thus, for classes within P such as L, NL, NC, and P itself, log-space reductions are used instead.

Thus, almost any telephone on a military base could be direct-dialed via AUTOVON.

Thus, although the Fynbos comprises only 6 % of the area of southern Africa, it has half the species on the subcontinent – and in fact has almost 1 in 5 of all plant species in Africa.

Thus, in Antioquia, the natives disappeared almost completely.

The overman ( Übermensch ), a self-mastered individual who has achieved his full power, is an almost omnipresent idea in Thus Spoke Zarathustra.

Thus, Scofield's premilliennialism seemed almost prophetic.

Thus almost uniquely in Europe, many of the UK's canals remain as they have been since the 18th and 19th century: mostly operated with narrowboats less than 7 feet ( 2. 3 m ) wide and 70 feet ( 23 m ) long ( although in parts of the country slightly larger canals were constructed, called ' broad ' or ' wide ' canals, which could take boats that were wide and long ).

Thus, Walsh modified the vertical passing scheme he had learned during his time with the Raiders, designing a horizontal passing system that relied on quick, short throws-often spreading the ball across the entire width of the field.

Thus, the broadcast domain is the entire inter-connected layer two network, and the segments connected to each switch / bridge port are each a collision domain.

Thus, what started as an effort to translate between languages evolved into an entire discipline devoted to understanding how to represent and process natural languages using computers.

Thus, body forces are specified by vector fields which are assumed to be continuous over the entire volume of the body, i. e. acting on every point in it.

Thus, the only logical possibilities are to accept non-Euclidean geometry as physically real, or to reject the entire notion of physical tests of the axioms of geometry, which can then be imagined as a formal system without any intrinsic real-world meaning.

Thus any non-constant entire function must have a singularity at the complex point at infinity, either a pole for a polynomial or an essential singularity for a transcendental entire function.

Thus, the Sheikh of al-Azhar in Cairo, Muhammad Sayid Tantawy, who is the leading religious authority in the Sunni Muslim establishment in Egypt, alongside the Grand Mufti of Egypt, said the following about fatwās issued by himself or the entire Dar al-Ifta:

Thus the entire society from top to bottom is bound by feudalism.

Thus, variable only depends directly on variable, rather than depending on the entire set of variables.

Thus the tonewheel assembly generates 91 frequencies, which are all that are required for the entire organ.

Thus as a result of the three Carnatic Wars, the British East India Company gained exclusive control over the entire Carnatic region of India.

Thus, the cost is minimized over a sample of the data rather than the entire data set.

implies that the entire NC hierarchy " collapses " down to some level i. Thus, there are 2 possibilities:

Thus the entire field of quantum physics emerged, leading to its wider acceptance at the Fifth Solvay Conference in 1927.

Thus, amber mutants are an entire class of virus mutants that can grow in bacteria that contain amber suppressor mutations.

Thus single decade scales C and D range from 1 to 10 across the entire width of the slide rule while double decade scales A and B range from 1 to 100 over the width of the slide rule.

Thus a single-stage rocket is at a disadvantage because it must carry its entire vehicle mass to orbit, which in turn reduces payload capacity.

Thus, it was possible that an east-west line extending east from Lake Michigan's southern tip may have intersected Lake Erie somewhere east of Maumee Bay, or worse, may not have intersected the lake at all ; the farther south that Lake Michigan actually extended, the more land Ohio would lose, perhaps even the entire Lake Erie shoreline west of Pennsylvania.

Thus, by changing the value of one of these parameters at one location in the Metafont file, one can produce a consistent change throughout the entire font.

Thus, in the scaleogram of a continuous wavelet transform of this signal, such an event marks an entire region in the time-scale plane, instead of just one point.

Thus the set of functions, where g is any one-argument function, represents the entire set of functions in variables x, y that could have produced the x-partial derivative 2x + y.

Thus in a fraction of the nuclear events ( the recoil-free fraction, given by the Lamb – Mössbauer factor ), the entire crystal acts as the recoiling body, and these events are essentially recoil-free.

Thus the magnitude of the shift is related not to the Compton wavelength of the electron, but to the Compton wavelength of the entire atom, which can be upwards of 10 000 times smaller.

Thus, in Keith Petersen ’ s words, “ teachers assumed responsibility for shaping a district's entire educational policy .”