Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.

Thus jazz is transmuted into something holy, the sacred road to integration of being.

Thus the fictional detective is much more than a simple businessman.

Thus the cocktail party would appear to be the ideal system, but there is one weakness.

Thus in both types attention is focused on the community itself, and its phenomenological life.

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

Thus human perception and human volition is the immanent cause of all social change and this most truly when the change reaches the civilizational level.

Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.

Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

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 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 copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.

Thus there is a clearer division of authority, administrative and legislative.

Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.

Thus, the need for the B-70 as a strategic weapon system is doubtful.

Thus technical efficiency is achieved at the expense of actual experience.

Thus, there is an added incentive to stay on the job.

Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.

Thus T is not diagonalizable.

Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

Thus in the three-dice example Af, Af, and the independence assumption imply that the probability that the three dice fall ace, not-ace, ace in that order is Af.

Thus we do not score the number of bull's-eyes, and the random variable is not the number of successes.

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 Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.

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.

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 the record and array data structures are based on computing the addresses of data items with arithmetic operations ; while the linked data structures are based on storing addresses of data items within the structure itself.

Thus differential geometry may study differentiable manifolds equipped with a connection, a metric ( which may be Riemannian, pseudo-Riemannian, or Finsler ), a special sort of distribution ( such as a CR structure ), and so on.

Thus Esperanto achieved a stability of structure and grammar similar to that which natural languages enjoy by virtue of their native speakers and established bodies of literature.

Thus in the system of units in which the fine structure constant is fixed, the observational claim is that the speed of light is time-dependent.

Thus, a unique trajectory in the thunderstorm is sufficient to explain the layer-like structure of the hailstone.

Thus, for example, two objects may be group isomorphic without being ring isomorphic, since the latter isomorphism selects the additional structure of the multiplicative operator.

Thus the standard disciplinary structure of philosophy was established as

" Thus these two distinctions can be applied not only to class structure within society but denomination and racial segregation within religion.

Thus rocky coastlines, especially in shallow water, are typically inimical to the survival of artifacts, which can be dispersed, smashed or ground by the effect of currents and surf, possibly ( but not always ) leaving an artifact pattern but little if any wreck structure.

Thus the welfare analysis of oligopolies is sensitive to the parameter values used to define the market's structure.

Thus, their energy levels stack up, creating band structure out of each atomic energy level.

Thus during his lifetime, Shoghi Effendi prepared for the election of the Universal House of Justice, by establishing a strong administrative structure at the local and national levels.

Thus, one may perform algebraic operations, because of the group structure, and one may talk about continuous functions, because of the topology.

Thus it is seen that a polyp is an animal of very simple structure, a living fossil that has not changed significantly for about half a billion years ( per generally accepted dating of Cambrian sedimentary rock ).

Thus Offa's Dyke is a combined structure and Car Dyke is a trench though it once had raised banks as well.

Thus two Elders and two Eldresses formed the Ministry at the top of the administrative structure.

Thus grammars that employ phrase structure rules are constituency grammars (= phrase structure grammars ), as opposed to dependency grammars, which view sentence structure as dependency-based.

Thus the spelling of a word is dependent principally upon its structure, its relationship to other words, and its language or origin.

He claimed that on top of individual exploitation, the capitalist also unjustly appropriates the additional value ( termed “ collective force ”) produced by co-operative activity as a “ force of one thousand men working twenty days has been paid the same wages that one would be paid for working fifty-five years ; but this force of one thousand has done in twenty days what a single man could not have accomplished, though he had laboured for a million centuries .” Thus the capitalist may have “ paid all the individual forces ” but “ the collective force still remains to be paid ” and which the capitalists “ enjoy unjustly .” Other notable anti-capitalist thinkers claim that the elite maintain wage slavery and a divided working class through their influence over the media and entertainment industry, educational institutions, unjust laws, nationalist and corporate propaganda, pressures and incentives to internalize values serviceable to the power structure, state violence, fear of unemployment and a historical legacy of exploitation and profit accumulation / transfer under prior systems, which shaped the development of economic theory:

Thus, in a sense, the notion of a Noetherian ring unifies the ideal structure of various " natural rings ".

Thus, a hexagonal structure uses the least material to create a lattice of cells within a given volume.