Thus, Margenau remarks: `` A large number of unrelated epicycles was needed to explain the observations, but otherwise the ( Ptolemaic ) system served well and with quantitative precision.

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

Thus in the presence of large quantum computers an n-bit key can provide at least n / 2 bits of security.

Thus, a poison that covers surface randomly will tend to reduce the number of uncontaminated large planes but leave proportionally more smaller sites free, thus changing the hydrogenation vs. hydrogenolysis selectivity.

Thus the interior of a metal is filled up with a large number of unattached electrons that travel aimlessly around like a crowd of displaced persons.

In particular, one should think of the condition number as being ( very roughly ) the rate at which the solution, x, will change with respect to a change in b. Thus, if the condition number is large, even a small error in b may cause a large error in x.

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, from an evolutionary perspective men may have had more to gain from a large increase in resources than women have had, which may be one explanation for why men, and especially poor men, tend to gamble more than women.

Thus, a high GWP correlates with a large infrared absorption and a long atmospheric lifetime.

Thus, actual address space utilization rates will be small in IPv6, but network management and routing efficiency is improved by the large subnet space and hierarchical route aggregation.

Thus, although the composition of the group is slightly different in each instance, the large majority of men present are always close neighbors.

Thus, according to Keynesian theory, some individually-rational microeconomic-level actions such as not investing savings in the goods and services produced by the economy, if taken collectively by a large proportion of individuals and firms, can lead to outcomes, wherein the economy operates below its potential output and growth rate.

Thus, Islamic architecture started witnessing the introduction of such structures as domes and large, arched entrances, referred to as iwans.

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, the mergers were not done to see large efficiency gains, they were in fact done because that was the trend at the time.

Thus, Nauru was left to handle the immense and expensive task of restoring large chunks of land which were destroyed by the mining.

Thus, at a general level, there is a large degree of uniformity amongst all Orthodox Jews.

Thus, there is a correlation between the results of measurements performed on entangled pairs, and this correlation is observed even though the entangled pair may have been separated by arbitrarily large distances.

Thus for a large or very distributed company that requires multiple PBXs, users can receive the same services across the network and be unaware of the switch that their telephone is connected to.

Thus, first slavery and then serfdom gradually decreased in Europe as the population grew, but were reintroduced in the Americas and in Russia as large areas of new land with few people became available.

Thus, in the very large cases, the HTSC cost can not be offset by simply reducing the coil size at a higher magnetic field.

Thus, the party's platforms and rhetoric critique any corporate influence and control over government, media, and American society at large.

Thus, a few volts ' difference at the grid would make a large change in the plate current and could lead to a much larger voltage change at the plate ; the result was voltage and power amplification.

Thus, we have no part, and want none, in current discussions of the relative importance of science, the social studies, the humanities, the creative arts.

Thus every part and plane of the picture keeps changing place in relative depth with every other part and plane ; ;

Thus for example Heraclitus ' The Allegorist ' quoted fr. 326 and part of fr. 6, about ships in a storm, in his study on Homer's use of allegory.

“ Acts, then is a continuation of the Lucan Gospel, not in the sense that it relates what Jesus continued to do, but how his followers carried out his commission under the guidance of his Spirit .” Thus, part of the answer to the purpose of Acts is that Luke is writing to Theophilus, who is also mentioned in Luke 1: 3, in order to explain to him the occurrences that take place in the church that fulfill Jesus ’ promise to his disciples that “ you will be baptized with, the Holy Spirit not many days from now ” ( Acts 1: 5 ).

Thus, any transverse velocity of the emitting source plays no part in aberration.

Thus, only the immediate purchaser could recover for a product defect, and if a part was built up out of parts from parts manufacturers, the ultimate buyer could not recover for injury caused by a defect in the part.

Thus, the molecular formula of ethanol may be written in a paper in conformational, three-dimensional, full two-dimensional ( indicating every bond with no three-dimensional directions ), compressed two-dimensional ( CH < sub > 3 </ sub >– CH < sub > 2 </ sub >– OH ), separating the functional group from another part of the molecule ( C < sub > 2 </ sub > H < sub > 5 </ sub > OH ), or by its atomic constituents ( C < sub > 2 </ sub > H < sub > 6 </ sub > O ), according to what is discussed.

Thus, southern Germany once more became part of the Frankish kingdom, as had northern Germany during the first years of the reign.

" Thus, any activity of production ( which distributism holds to be the most important part of any economy ) ought to be performed by the smallest possible unit.

Thus Bolesław the Brave might have received Kraków as his part of his father's legacy before the Dagome iudex had been written.

Thus, Egypt was by Ottoman law de jure a province of that empire, but de facto was part of the British Empire.

Thus, it is on the one side, the study of wealth and on the other and more important side, a part of the study of man.

Thus, in the sentence " There exists a man ", the term " man " is asserted to be part of existence.

Thus, churches actually had money-changing tables at which each coin would be examined separately and a token of actual worth given to the layperson so that he or she could be seen by the other parishioners as putting money in the basket during that part of the service.

Thus, in women with Type III FGM who have developed vesicovaginal or rectovaginal fistulae — holes that allows urine and feces to seep into the vagina — it is difficult to obtain clear urine samples as part of prenatal care making the diagnosis of certain conditions harder, such as preeclampsia.

Thus they were not gravitationally bound to the Milky Way, and were unlikely to be a part of the galaxy.

However, a second definition and usage has historically been in practice in many fields of computer science and information technology, which defines the prefix kilo when used with byte or bit units of data as 1024 ( 2 < sup > 10 </ sup >); this is due to the mathematical coincidence that Thus, in these fields 1 kilobyte is equal to 1 kibibyte, a new unit standardized as part of the binary prefixes to resolve the ambiguity.

Thus, the Beqaa Valley is part of the Great Rift system, which stretches from southern Turkey to Mozambique in Africa.

Thus this theory can be sometimes viewed as part of the social evolutionism theory.

Thus ingot casting, foundry techniques, blast furnace extraction, and electrolytic extraction are all part of the required knowledge of a metallurgist / engineer.

Thus C1 restores its charge and prepares for the next State 1 when it will act again as a time-setting capacitor ... and so on ... ( the next explanations are a mirror copy of the second part of Step 1 ).

Another renowned part of the coronation was the lighting of a bundle of flax at the top of a gilded pole, which would flare brightly for a moment and then promptly extinguish, with the admonition Sic transit gloria mundi (" Thus passes worldly glory ").

Thus, lack of complete information on the part of survey participants may have skewed the results.