Thus, it is no mystical intuition, but an analyzable conception to say that man and his tradition can `` fall out of existence ''.

Thus, when you have prepared your foundation and laid the floor, these can be trucked to the site and erected with a small crew of friends in a weekend.

Thus the film can be applied to back-lighted translucent plastics faces ; ;

Thus, direct comparisons can be drawn with free burning arcs which have been studied in detail during the past years and decades by numerous investigators ( Ref. 3 ).

Thus, for aqueous media, we can think of the idealized organic active as an oleophilic or hydrophobic surface-active agent, and of an idealized builder as a oleophobic or hydrophilic surface-active agent.

Thus, the larvae of the intruder can develop at the expense of the rightful inhabitants and the store of beebread.

Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

Thus, one can think of a dictionary entry as a word rather than a form.

Thus the unstressed it of it rarely snows here gets its significance from its use with snows: nothing can snow snow but `` it ''.

Thus in it's incredible what that boy can eat dominant stress is likely to be on incredible, and eat will have strong stress also.

Thus, besides the training provided to youth in school, the existence of the school program can have supplementary benefits to industry which make it an asset to industrial development efforts.

Thus, for non-negative changes in the basic wage rate, the industry becomes the active wage-setter, since any increase in the basic wage rate can occur only by reason of industry acquiescence.

Thus if the gyro and platform-controller combination maintains the platform with zero angular deviation about the **yf axis, the system can be rotated with an angular velocity Af if a torque is supplied to the gyro output axis Aj.

Thus a man who is butting a stone wall at the office may become unusually aggressive in bed -- the one place he can still be champion.

Thus, man can readily deduce that the primary objective end of the conjugal act is procreation, the propagation of the race.

Thus, while it remains possible that the Babylonians and/or the Pythagoreans may perhaps have had the magic square of three before the Chinese did, more definite evidence will have to turn up from the Middle East or the Classical World before China can lose her claim to the earliest known magic square by more than a thousand years.

" 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 an algorithm can be an algebraic equation such as y

Thus, an algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete system.

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.

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 areas can be measured in square metres ( m < sup > 2 </ sup >), square centimetres ( cm < sup > 2 </ sup >), square millimetres ( mm < sup > 2 </ sup >), square kilometres ( km < sup > 2 </ sup >), square feet ( ft < sup > 2 </ sup >), square yards ( yd < sup > 2 </ sup >), square miles ( mi < sup > 2 </ sup >), and so forth.

The evaluation order does not affect the value of such expressions, and it can be shown that the same holds for expressions containing any number of operations .< ref > Thus, when is associative, the evaluation order can be left unspecified without causing ambiguity, by omitting the parentheses and writing simply:

Thus, we might provide limited assistance in such fields as education, essential transport, communications, and agricultural improvement despite the absence of acceptable country programs.

Thus, the Big Bang theory cannot and does not provide any explanation for such an initial condition ; rather, it describes and explains the general evolution of the universe going forward from that point on.

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

Thus, and in order to provide a clear line of succession and avoid dynastic uncertainty, he arranged for his nephew, King Louis I of Hungary, to be his successor in Poland.

Thus query optimization typically tries to approximate the optimum by comparing several common-sense alternatives to provide in a reasonable time a " good enough " plan which typically does not deviate much from the best possible result.

Thus query optimization typically tries to approximate the optimum by comparing several common-sense alternatives to provide in a reasonable time a " good enough " plan which typically does not deviate much from the best possible result.

Thus the aim developed, to provide a new time scale for astronomical and scientific purposes, to avoid the unpredictable irregularities of the mean solar time scale, and to replace for these purposes Universal Time ( UT ) and any other time scale based on the rotation of the Earth around its axis, such as sidereal time.

Thus, God caused a plant to grow where Jonah was lying to provide shade and comfort for him.

Thus, textbooks on aerodynamics use more complex models to provide a full description of lift.

Thus, Rajaratnam believed that maintaining a balance of power, rather than becoming a de-facto vassal of some larger power, would provide Singapore with freedom to pursue an independent foreign policy.

Thus, Lezek took him to a local hiring fair, hoping that Mort would land an apprenticeship with some tradesman ; not only would this provide a job for his son, but it would also make his son's propensity towards thinking someone else's problem.

Thus, the moral value of one-celled organisms, as well as some multi-cellular organisms, and natural entities like a river, is only in the benefit they provide to sentient beings.

Thus, the ensuing revival of Augustinian theology, stating that man cannot be saved by his own efforts but only by the grace of God would erode the legitimacy of the rigid institutions of the church meant to provide a channel for man to do good works and get into heaven.

Thus, empirical observations of the frequency of spoiled elections do not provide a good measure of how prone to spoiling the voting method is, since the observations omit the relevant information about potential candidates ( e. g., Hillary Clinton ) who did not run because they did not want to spoil the election.

Thus, many believed that tribes organize links between families ( including clans and lineages ), and provide them with a social and ideological basis for solidarity that is in some way more limited than that of an " ethnic group " or of a " nation ".

Thus, ATMs often provide one of the best possible official exchange rates for foreign travellers, and are also widely used for this purpose.

" Thus, a small company in a single building can have an " intranet ," but to have a VPN, they would need to provide tunneled access to that network for geographically distributed employees.

Thus so competent were the builders of Belton that Winde may have done little more than provide the original plans and drawings, leaving the interpretation to the on-site craftsmen.

Thus, he is said to have " failed to provide an adequate methodology for the history of religions and to establish this discipline as an empirical science ", though the same critics admit that " the history of religions should not aim at being an empirical science anyway ".

Thus, the suppliers will provide incentives for the consumers to differentiate themselves according to preference.

Thus, the time travel mechanism would also have to provide instantaneous teleportation, with infinitely accurate and simultaneous adjustment of final 3D location, linear momentum, and angular momentum.

Thus it is difficult to ensure the government has an incentive to provide the optimum amount even if it were possible for the government to determine precisely what amount would be optimum.

Thus, they were unable to provide a communication of the benefits of a consumer product, closely representing the tested concept, to a high degree of accuracy.

Thus, emancipative values provide social capital that activates societies, makes publics more self-expressive, and vitalizes civil society.