Thus, for many years, Vega was used as a baseline for the calibration of absolute photometric brightness scales.

Thus it was suggested that Vega showed occasional low-amplitude pulsations associated with a Delta Scuti variable.

Thus, in terms of abundances, only about 0. 54 % of Vega consists of elements heavier than helium.

Thus the dust is more likely created by a debris disk around Vega, rather than from a protoplanetary disk as was earlier thought.

Thus, it was kept as an exclusive live song, and was never released on any album until the band's live album Live at Vega in 2006.

Thus we are compelled to face the urbanization of the South -- an urbanization which, despite its dramatic and overwhelming effects upon the Southern culture, has been utterly ignored by the bulk of Southern writers.

Thus Faulkner reminds us, and wisely, that the `` new '' South has gradually evolved out of the Old South, and consequently its agrarian roots persist.

Thus the image of man has suffered complete fragmentation in personal and spiritual qualities, and complete objectification in sub-human and quasi-mechanistic powers.

Thus earth has fallen to the center of the universe.

Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.

Thus the government simultaneously undertook the vast burden of social security which had traditionally been privately discharged, and created a national scarcity which has engendered calamitous problems of social security.

Thus, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.

Thus F satisfies Af if and only if F has the form Af.

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 to has light stress both in that was the conclusion that I came to and in that was the conclusion I came to.

Thus, the public-limit price is raised further by a given wage increase the longer it has been since the previous price increase.

Thus, during any given year ( A ) if the revenues from the residential service are $7,000,000, ( B ) if the operating expenses imputed to this class of service come to $5,000,000, and ( C ) if the net investment in ( or value of ) the plant and equipment deemed devoted to this service amounts to $30,000,000, the cost analyst will report that residential service, in the aggregate, has yielded a return of $2,000,000 or 6-2/3 per cent.

Thus, a well-planned adobe wall of the appropriate thickness is very effective at controlling inside temperature through the wide daily fluctuations typical of desert climates, a factor which has contributed to its longevity as a building material.

Thus the term asteroid has come increasingly to refer specifically to the small bodies of the inner Solar System out to the orbit of Jupiter, which are usually rocky or metallic.

Thus the negation of the axiom of choice states that there exists a set of nonempty sets which has no choice function.

For every group G there is a natural group homomorphism G → Aut ( G ) whose image is the group Inn ( G ) of inner automorphisms and whose kernel is the center of G. Thus, if G has trivial center it can be embedded into its own automorphism group.

Thus, at pH between 2. 2 and 9. 4, the predominant form adopted by α-amino acids contains a negative carboxylate and a positive α-ammonium group, as shown in structure ( 2 ) on the right, so has net zero charge.

Thus, if a two-dimensional array has rows and columns indexed from 1 to 10 and 1 to 20, respectively, then replacing B by B + c < sub > 1 </ sub >-− 3 c < sub > 1 </ sub > will cause them to be renumbered from 0 through 9 and 4 through 23, respectively.

In mathematics, an associative algebra A is an associative ring that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.

Thus, study of this Barnum / Forer effect has been mostly focused on the level of acceptance of fake horoscopes and fake astrological personality profiles.

Thus, it has a year 0, the years before that are designated with negative numbers and the years after that are designated with positive numbers.

Thus the " Aegean Area " has now come to mean the Archipelago with Crete and Cyprus, the Hellenic peninsula with the Ionian islands, and Western Anatolia.

Thus, most recipes that use bay leaves will recommend their removal after the cooking process has finished.

Thus he has him murdered.

Thus, for a period, economics worked in favour of cable cars even in relatively flat cities.

Thus any popular general-purpose data model usually well balances between being intuitive and relatively simple, and very complex with high expressive power.

Thus, until relatively recently, the vast majority of people were educated by family members ( especially during early childhood ).

Hence, those with less pigmented skin survived and had children at higher rates because their skin allowed more UV light for the production of vitamin D. Thus, the skin of those in the group that left the African continent and went far north gradually developed adaptations for relatively greater translucence compared to equatorial hues.

Thus, North India is kept warm or only mildly cooled during winter ; in summer, the same phenomenon makes India relatively hot.

Thus the initial assumption that p and q − 1 are relatively prime is untenable.

Thus, the word ' left ' in American political parlance may refer to ' liberalism ' and be identified with the Democratic Party, whereas in a country such as France these positions would be regarded as relatively more right-wing, and ' left ' is more likely to refer to ' socialist ' positions rather than ' liberal ' ones.

Thus, the two powers were relatively unable to fight decisive battles.

Thus, excitement in games or war appears to block both dimensions of pain, while suggestion and placebos may modulate the affective-motivational dimension and leave the sensory-discriminative dimension relatively undisturbed.

Thus, rearrangements on a local scale ( kinks ) are relatively rapid, while on a long-range scale ( convolutions ) very slow.

Thus, ' old fashioned ' walls-that is high and, relatively, thin-were excellent targets and, over time, easily demolished.

Thus, it seems that we can know, in a relatively unproblematic way, that other people are in certain mental states.

Thus the end of the Viking Age for the Scandinavians also marks the start of their relatively brief Middle Ages.

Thus, some have argued, as time passes, these deep storage areas have the potential to become " plutonium mines ", from which material for nuclear weapons can be acquired with relatively little difficulty.

Thus, even though her father was a duke, Catherine was of relatively low birth.

Thus, Bastia is logically organized on a relatively narrow North-South axis which can make access to the city center difficult under particular circumstances.

Thus I can be occupied for several years without writing a single note of the work, after which composition goes relatively quickly.

Thus, even large voltages can yield relatively small currents.

Thus the resulting nuclei become heavier and closer to the sought-after island of stability, a concept wherein some super-heavy atoms can be relatively stable.

Thus, Internet access across the European Union is relatively open because of the laws forbidding discrimination based on nationality, but the fact of publication in, say, France, limits the target market to those who read French.

Thus, it was Heartbreak Hotel that turned Harrison from a relatively well-mannered schoolboy into a guitar-crazed truant who would audition for John Lennon's Quarrymen the following year.

Thus, tuning was a relatively slow operation, and composers had to allow a reasonable amount of time for players to change notes if they were called to tune in the middle of a work.

Thus, for a single given gas ( where molecular weight does not change ) and over a small temperature range ( where heat capacity is relatively constant ), the speed of sound becomes dependent on only the temperature of the gas.

Thus the relatively small amount of network color programming, combined with the high cost of color television sets, meant that as late as 1964 only 3. 1 percent of television households in the U. S. had a color set.