Thus with regard to the loss of tradition, in the change from order to disorder the metaphysics of change works itself out as a disruption of the individual soul, a change in which man continues as an objective ontological existent, but no longer as a man.

Thus, the Church was born and because of its intrinsic character was soon identified as a conservative institution, determined to resist the forces of change, to identify itself with the political rulers, and to maintain a kind of splendid isolation from the masses.

Thus, a finding of conspiracy to restrain trade or attempt to monopolize was excluded from the Court's decision.

Thus, the energy transferred from the arc to the anode was partly fed back into the arc.

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

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 one line in five from The Iliad and The Odyssey is to be found somewhere else in the two poems.

Thus, when specifically permitted, the operand of a given line on the Autocoder coding sheet may be continued in the operand of from one to four additional lines which immediately follow.

Thus Af denotes the state of the feed to the R-stage process, and Af the state of the product from the last stage.

Thus creativity may run all the way from making a cake, building a chicken coop, or producing a book, to founding a business, creating a League of Nations or, developing a mature character.

Thus, when Dartmouth's Winter Carnival -- widely recognized as the greatest, wildest, roaringest college weekend anywhere, any time -- was broadcast over a national television hookup, Prexy John Sloan Dickey appeared on the screen in rugged winter garb, topped off by a tam-o'-shanter which he confessed had been acquired from a Smith girl.

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, moral decision must be entirely deduced backward from the likely eventuality ; ;

" 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 the only member churches of the present Anglican Communion existing by the mid-18th century were the Church of England, its closely linked sister church, the Church of Ireland ( which also separated from Roman Catholicism under Henry VIII ) and the Scottish Episcopal Church which for parts of the 17th and 18th centuries was partially underground ( it was suspected of Jacobite sympathies ).

Thus a colonial bishop and colonial diocese was by nature quite a different thing from their counterparts back home.

Thus situated, the mountains make travel from north to south difficult.

Thus, from the human body, the usual form assigned to the Deity, forasmuch as it is written that God created man in his own image, issue the two supporters, Nous and Logos, symbols of the inner sense and the quickening understanding, as typified by the serpents, for the same reason that had induced the old Greeks to assign this reptile for an attribute to Pallas.

Thus we have the story of his riding across a stick ( horse made of stick ) with his children and upon being discovered by a friend desiring that he not mention till he himself were the father of children ; and because of the affection of his son Archidamus ' for Cleonymus, he saved Sphodrias, Cleonymus ' father, from execution for his incursion into the Piraeus, and dishonorable retreat, in 378 BC.

Thus the possibility of re-incorporating Portugal ( up to then Southern Galicia ) into a Kingdom of Portugal and Galicia as before was eliminated and Afonso became sole ruler ( Duke of Portugal ) after demands for independence from the county's church and nobles.

Thus, Afonso continued to distinguish himself by his exploits against the Moors, from whom he wrested Santarém ( see Conquest of Santarém ) and Lisbon in 1147 ( see Siege of Lisbon ).

Thus while Persian-speakers were concentrated on the lower rungs of the work force, managers tended to be brought in from some distance.

Thus, if a two-dimensional array has rows and columns indexed from 1 to 10 and 1 to 20, respectively, then replacing B by B + c < sub > 1 </ sub >-− 3 c < sub > 1 </ sub > will cause them to be renumbered from 0 through 9 and 4 through 23, respectively.

Thus, covalent bonding involves sharing of electrons in which the positively charged nuclei of two or more atoms simultaneously attract the negatively charged electrons that are being shared between them.

Thus, although there is an esoteric tradition in Judaism ( Kabbalah ), Rabbinic scholar Max Kadushin has characterized normative Judaism as " normal mysticism ", because it involves everyday personal experiences of God through ways or modes that are common to all Jews.

Thus, while the outcome of any particular hand significantly involves chance, the long-run expectations of the players are determined by their actions chosen on the basis of probability, psychology and game theory.

Thus bidding involves anticipating the points that will be accumulated from melds and from the points accumulated from winning tricks.

Thus, ' truth ' involves both the quality of " faithfulness, fidelity, loyalty, sincerity, veracity ", and that of " agreement with fact or reality ", in Anglo-Saxon expressed by sōþ ( Modern English sooth ).

Thus all knowledge, all science, necessarily involves the formation of general concepts and the invocation of their corresponding symbols in language ( cf.

Thus " Mars " involves motion and " Neptune " is static ; " Venus " is sublime while " Uranus " is vulgar, and " Mercury " is light and scherzando while " Saturn " is heavy and plodding.

Thus, intuitively we could interpret the fraction of as representing the ratio of the labor one has to perform when going from a randomly chosen configuration to another randomly chosen configuration, relative to the difficulty of having to cross the " most difficult " path of length which involves moving all the disks from one peg to another.

Thus it usually involves an extensive outreach effort to include marginalized, isolated, ignored groups in decisions, and to extensively document dissent, grounds for dissent, and future predictions of consequences of actions.

Thus, what is " friendly " or what is " nasty ", depends on point of view, or how people are interacting, and it involves interpretation.

Thus the above formula for the roots involves only real terms if and only if the three roots are real.

Thus, projection involves imagining or projecting the belief that others originate those feelings.

Thus most traffic enters and leaves the village on the eastern ( Hope-Hathersage-Sheffield ) road ; for traffic going west this involves a long diversion via the villages of Bradwell and Peak Forest.

Thus, an aggregate demand failure involves a vicious circle: if one supplies more of his labor-time ( in order to buy more goods ), he may be frustrated because no-one is hiring – because there is no increase in the demand for their products until after he gets a job and earns an income.

Thus the method for leaving samsara involves a deep-rooted change in world view.

Thus, a substantial part of the work in setting up these groups involves the general theory of chain and cochain complexes, which is known as homological algebra.

Thus, it involves a much more complex system of inequality.

Thus the process involves only one ascent, thereby mitigating the time-consuming and comparatively risky process of in-water, staged decompression normally associated with non-saturation (" mixed gas diving or sur-D O2 ") operations.

Thus if God commanded us " to gratuitously inflict pain on each other " or to engage in " cruelty for its own sake " or to hold an " annual sacrifice of randomly selected ten-year-olds in a particularly gruesome ritual that involves excruciating and prolonged suffering for its victims ", then we would be morally obligated to do so.

Thus instead of saying " a point lies on a line " one should say " a point is incident with a line " since dualizing the latter only involves interchanging point and line (" a line is incident with a point ").

Thus, a glomerulus representing a specific OR develops slowly and involves considerable axonal reorganization in order to achieve the highly topographical projection observed in adult mice.

Thus, the very origin of the conception of reality shows that this conception essentially involves the notion of a COMMUNITY, without definite limits, and capable of an indefinite increase of knowledge.

Thus multisensory worship involves a great deal of experimentation and variety in crafting a more holistic worship experience.

Thus, the commodification of a good or service often involves a considerable practical accomplishment in trade.