Thus there is no way of discerning which, if any, ethical properties exist ; by Occam's Razor, the simplest assumption is that none do.

Thus, although the current standard model of particle physics " in principle " predicts all known non-gravitational phenomena, in practice only a few quantitative results have been derived from the full theory ( e. g., the masses of some of the simplest hadrons ), and these results ( especially the particle masses which are most relevant for low-energy physics ) are less accurate than existing experimental measurements.

Thus your prudent opponent can make you a sure loser unless you set your prices in a way that parallels the simplest conventional characterization of conditional probability.

Thus, if one is going to make that assumption, then one would want to use the simplest definition.

Thus, they used the simplest definitions for the T < sub > i </ sub >.

Thus, the simplest incidence geometry that can exist would look something like this:

Thus in the physical world it is difficult to give examples of numbers that compare to the vastly greater googolplex.

Thus the base-words in these examples are fákr and marr “ steed ”, the determinants báru “ wave ’ s ” and gjálfr “ sea ”.

Thus, though the College lays claim to few examples of neo-classical design, the College Library stands as one of the earliest examples of English neo-Gothic architecture.

Thus George, tree, tall and blue are examples of well formed constant symbols.

Thus, future weak learners focus more on the examples that previous weak learners misclassified.

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 while a single example of Black Country dialect is hard to give, as different areas of the Black Country differ with colloquialisms, examples include " babby " for baby, " alf baerked " for stupid, " argy-bargy " for fight, and " bostin " to mean " very good ".

Thus the erection of one of the finest examples of Romanesque architecture which followed was made possible by pilgrims to the declared relics and these tactile examples demonstrating the efficacy of prayers.

Thus many examples are found in explanations and dictionaries which do not strictly fit the psychoanalytic definition.

Thus, the character can be viewed as an early example of the " Man with No Name " ( other examples of which appear in a number of earlier novels, including Dashiell Hammett's Red Harvest ).

Thus, burrows, trackways, trails and borings are all examples of biogenic structures, but not casts or molds of dead shells or other bodily remains.

Thus began the connection between these two soldiers which has furnished military history with one of the best examples of the harmonious co-operation between a commander and his chief-of-staff.

Thus, the examples above may as well be taken as a multisequence file if taken together.

Thus an older boat should not be outclassed just because of her age, and there have been two examples ( in 1959 and 1970 ) of seriously old boats winning the National Championships.

Thus among examples of the Sublime may be rated ( not in any order ) Homer, the tragedians, Sappho, Plato, even the Bible, and a playwright like Aristophanes ( since the author maintained that laughter is a jocose pathos — and therefore, " sublime ", being " an emotion of pleasure ").

Thus, members of a non-institutional church would not authorize giving church funds to a missionary society or undertake a " sponsoring church " arrangement, a non-institutional church may send money to an individual preacher, as there are New Testament examples of this (; ; ).

Thus, Earth observation or weather satellite collection platforms, ocean and atmospheric observing weather buoy platforms, monitoring of a pregnancy via ultrasound, Magnetic Resonance Imaging ( MRI ), Positron Emission Tomography ( PET ), and space probes are all examples of remote sensing.

Thus by the 9th century, the term was being used by Persians themselves as an ethnic term, and examples can be given by Asadi Tusi in his poem comparing the superiority of Persians and Arabs.

Thus, shows like The Dukes of Hazzard or The Beverly Hillbillies can be seen as examples of that culture.

Thus, documentation writers can be sure to select a domain name without creating naming conflicts if end-users try to use the sample configurations or examples verbatim.

Thus the following list does not give a complete picture: it is a list of examples picked from different periods.

Thus the treaty can be viewed as a compromised between the different groups within the Bolshevik camp, to on on hand satisfy the aspirations of large minorities ( the named examples of Georgia and Ukraine ), to allow for potential expansion, Bylorussia was the smallest republic, yet its official languages included in addition to Russian and Belarusian, Polish and Yiddish, to undermine the authority of the neighbouring Second Polish Republic and to use its sizeable Jewish minority, as well as the Belarusians and Ukrainians in Poland as a future fifth column.

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.