Thus while bumblebees have been found to be about ten times more efficient pollinators on cucurbits, the total efficiency of a colony of honey bees is much greater due to greater numbers.

Thus, there are championships for many non-sporting competitions such as spelling bees or wargames.

" Thus force rose out of the very bees themselves, out of their intricate knowledge and their countless sublime patterns, as though they had somehow accidentally evolved it, or empowered it with consciousness through the means of their endless creativity, meticoulousness and endurance "

Thus, in Africa and parts of Southeast Asia, the colloquial name is used to refer to what are technically known as stingless bees, which are typically in the genus Trigona, even though this is a misnomer, and its relatives ( family Apidae ), and also have the habit of taking up salt from human perspiration.

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, paradoxically, the beat writers resort to `` religious '' metaphors: they are in search of mana, the spiritual, the numinous, but not anything connected with formal religion.

Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Thus there are polynomials Af such that Af.

Thus the Af are projections which correspond to some direct-sum decomposition of the space V.

Thus pencils of tangents to Q are transformed into pencils of tangents.

Thus it follows that the secants of **zg are all invariant.

Thus, although the agenda of external assistance in the economic sphere are cumulative, and many of the policies suggested for nations in the earlier stages remain relevant, the basic purpose of American economic policy during the later stages of development should be to assure that movement into a stage of self-sustaining growth is not prevented by lack of foreign exchange.

Thus the first lines of one of Charles Wesley's hymns are as follows.

Thus in his friends are stranger than his sisters' strong stresses are normal for his and sisters', but in his friends are stranger than his sisters strong stresses are normal for friends and sisters.

Thus his persistence values for some stem frequencies per meaning are: stem identical in 8 languages, 100% ; ;

Thus, the white middle and lower classes are arrayed against the Negro middle and lower classes.

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, 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, the three main categories of antisubmarine warfare operations are defense of shipping, defense of naval forces, and area defense.

Thus, the most productive areas are not necessarily the most stressed.

Thus a number of operations of the order of Af are required.

Thus, if we are to observe American folklore in the twentieth century, we will do well to establish the relationships between folklore, nationalism and imperialism at the outset.

Thus, in `` The Story Of Ruth '' we have Ruth, Naomi, and Boaz and sets that are meticulously authentic.

" Thus Boolos and Jeffrey are saying that an algorithm implies instructions for a process that " creates " output integers from an arbitrary " input " integer or integers that, in theory, can be chosen from 0 to infinity.

Thus although most species in the order are herbaceous, some no more than 15 cm high, there are a number of climbers ( e. g. some species of Asparagus ), as well as several genera forming trees ( e. g. Agave, Cordyline, Yucca, Dracaena ), some of which can exceed 10 m in height.

Thus, current expected inflation reflects a weighted average of all past inflation, where the weights get smaller and smaller as we move further in the past.

Thus dubnium is expected to form a stable + 5 state.

Thus, DbCl < sub > 5 </ sub > is expected to be a volatile solid.

Thus, if rainfall amounts and intensities increase in many parts of the world as expected, erosion will also increase, unless amelioration measures are taken.

Thus under optimum conditions, the preparation of only one atom of element 101 per experiment could be expected.

" Thus outing is " both permissible and an expected consequence of living morally.

Thus, the cat would be expected to have settled into a definite state long before the box is opened.

Thus seaborgium is expected to form a stable + 6 state.

Thus the net current integrated over a nanosecond will tend more to stay near its average value of 100 electrons rather than exhibiting the expected fluctuations ( 10 electrons rms ) we calculated.

Thus growth was expected to reach around 6. 5 % in 2005.

Thus there is not the same direct relation between magnetic optical activity and molecular stereochemistry which would be expected, because it is found in natural optical activity.

Thus, during the night, little isoprene is emitted from tree leaves, whereas daytime emissions are expected to be substantial during hot and sunny days, up to 25 μg /( g dry-leaf-weight )/ hour in many oak species

Thus, Jesus expected believers to repent from slavery to their flesh's desires: " Woe to you, Korazin!

Thus, the formal organization is expected to behave impersonally in regard to relationships with clients or with its members.

Thus the above equation states that the infinitesimal rate of return on the stock has an expected value of μ dt and a variance of.

Thus, a neutral point of view requires testing measures consensual to anyone expected to believe the results.

Thus, the formal organization is expected to behave impersonally in regard to relationships with clients or with its members.

Thus Shrove Tuesday gets its name from the shriving that English Christians were expected to do prior to receiving absolution immediately before Lent begins.

Thus, the `` square root " may be omitted from these equations with no expected difference in the results of optimization.

Thus at the opening of any duel Gawain would openly announce " I am Gawain ", as he expected never to be defeated and so it would not diminish his honour to reveal his name.

Thus AGN-like characteristics are expected whenever a supply of material for accretion comes within the sphere of influence of the central black hole.

Thus the phrase ’ expected number of offspring ’ means the average number, not the number produced by some one individual.

Thus Cradock would have taken the message as final confirmation that he was doing what was expected.

Thus, the breeder has to study different breeds and types of chickens and analyze what can be expected from a certain set of characteristics before he or she starts breeding them.