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Thus and certain
Thus, although some things may be certain, they have little to do with Dasein's sense of care and existential anxiety, e. g., in the face of death.
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, while Nozick's side-constraints are absolute restrictions on behavior, Amartya Sen proposes a theory that recognizes the importance of certain rules, but these rules are not absolute.
Thus the concept ' computable ' is in a certain definite sense ' absolute ', while practically all other familiar metamathematical concepts ( e. g. provable, definable, etc.
Thus, the Group may be divided on certain issues.
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 for instance it is illegal to publicly call certain ethnic groups " maggots " or " freeloaders ".
Thus Kant defines idealism as " the assertion that we can never be certain whether all of our putative outer experience is not mere imagining ".
Thus, until the 15th century, only minor trade and cultural exchanges between Europe and Asia continued at certain terminals controlled by Muslim traders.
Thus, the events of previous stories are considered to have happened within a certain number of years prior to the publishing date of the current issue.
Thus, not only the existence of the crime depends on there being a previous legal provision declaring it to be a penal offense ( nullum crimen sine praevia lege ), but also, for a specific penalty to be imposed in a certain case, it is also necessary that the penal legislation in force at the time when the crime was committed ranked the penalty to be imposed as one of the possible sanctions to that crime ( nulla poena sine praevia lege ).
Thus, a certain number of stars will be in the shell 1, 000, 000, 000 to 1, 000, 000, 001 light years away, say.
Thus, certain color contrasts may look fuzzier than others, depending on the allocation of the primary colors ( green has twice as many elements as red or blue in the Bayer arrangement ).
Thus, the goal of a hard real-time system is to ensure that all deadlines are met, but for soft real-time systems the goal becomes meeting a certain subset of deadlines in order to optimize some application specific criteria.
Thus, 1NT is virtually certain to go down by at least three or four tricks.
Thus, it seems that we can know, in a relatively unproblematic way, that other people are in certain mental states.
Thus, at the beginning of the 17th century, the Rhine lands and those south to the Danube were largely Catholic, while Lutherans predominated in the north, and Calvinists dominated in certain other areas, such as west-central Germany, Switzerland and the Netherlands.
Thus such studies undermine the broad consensus required for good science by excluding certain people, and so proving themselves in the end to be unscientific.
Thus certain plants, including the traveler's tree ( so called because its trunk holds potable water ), are found both in Madagascar and on the South American continent, but not in Africa.
Thus from a certain point of view, regularity is not really the issue here, and we could impose a weaker condition instead to get the same result.
Thus, it is the only piece that may need to be flipped when forming certain shapes.
Thus, when modelling certain situations with high Péclet numbers, simpler computational models can be adopted.
Thus, some cultures prohibit certain types of substances, which they call " taboo ", while they make use of others in various types of ceremonies.
Thus, if a metal is subject to lending guidance, dominant position holders may be required to lend tom-next, that is sell a tom-position and buy a cash-position, should the backwardation for that period exceed a certain exchange-set percentage.
Thus, distinctive, observable morphological features, e. g., illuvial clay accumulation in B horizons, are produced by certain combinations of pedogenic processes operative over varying periods of time.

Thus and deep
Thus typical dimensions were about long by wide by deep.
Thus, the eastern side of the modern lake is much deeper than the western portion which averages only deep.
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 augmented, and swollen into a stream wide, the Elbe carves a path through the basaltic mass of the České Středohoří, churning its way through a deep, narrow rocky gorge.
Thus, trails and hiking areas near human settlements often have more mosquitoes than do deep forest habitats.
Thus, when at last he received from his sovereign a summons to join his court at Berlin, he obeyed indeed, but with deep and lasting regret.
Thus, subcapsular sinus is a sinus immediately deep to the capsule, and its endothelium is continuous with that of the afferent lymph vessel.
Thus, the leaders of the big railroads finally learned the source of William Nelson Page's deep pockets.
Thus a very high gas pressure of oxygen can be obtained, which can even account for the presence of gas in the swim bladders of deep sea fish like the eel, requiring a pressure of hundreds of bars.
Thus the Reconstruction of Warsaw Office ( BOS ) commissioned a number of engineers to prepare a project of a fast urban railway ( SKM ) crossing the city in a deep cutting.
Thus the Virgin River, a northern tributary of the Colorado River, has cut a vertical slit, 1000 ft. deep, hardly wider at the top than at the bottom, in the heavy Triassic sandstones of southern Utah.
Thus, it can display deep black levels and can be thinner and lighter than a liquid crystal display ( LCD ).
Thus, if McDonald ’ s were going to avoid the risk of injury by a deep thickness burn they would have had to have served tea and coffee at between 55 ° C and 60 ° C.
Service flags have a deep Blue Star for each living member in the service and a Gold Star for each member who has died .” Thus, the Gold Star and the term Gold Star Mother, as applied to mothers whose sons or daughters died in World War I, were accepted ; they have continued to be used in reference to all American military engagements since that time.
Thus, when grouped with the Chilean Flamingo, it will use a moderate and deep foraging depth strategy more than or the same as expected.
Thus in time, Shang Rong asked King Zhou of Shang to pay her a visit as a sign of deep respect.
Thus the deep ocean — devoid of wind — was assumed to be perfectly static by early oceanographers.
Thus, in the aftermath of the war, both nations, brokered by the " guarantors " of the Rio Protocol, entered into a long and difficult negotiation process that concluded with the signing of a Peace Treaty in 1998, and the closing of the hitherto un-demarcated stretch of common border, deep in the Amazonian rainforest.
Thus, during deep sleep, " brain areas do not talk to each other ".
Thus the youtiao is deep fried and eaten as if done to the traitorous couple.
Thus, no matter how " deep " the tree may be, there is always room for more nodes, and the geometry of a subtree is unrelated to its position in the whole tree.
Thus, the call for social engagement and active involvement in addressing socioeconomic and political ills is a call for participation that runs deep in the Catholic consciousness.
Thus, the entire force could move throughout the major rivers of the Delta, and launch troops, on boats, into assault operations deep into the narrowest rivulets and canals.
Thus, they favor the deep pools of cold lakes and large rivers, as well as high, cold mountain headwaters.

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