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, computing includes designing and building hardware and software systems for a wide range of purposes ; processing, structuring, and managing various kinds of information ; doing scientific studies using computers ; making computer systems behave intelligently ; creating and using communications and entertainment media ; finding and gathering information relevant to any particular purpose, and so on.

Thus, many typical household applications already in existence like word processing and email were designed specifically to avoid using floating point operations.

Thus, thought is considered as the result of mechanisms that are responsible for the representation and processing of information.

Thus it is commonly used in image processing, where the SNR of an image is usually calculated as the ratio of the mean pixel value to the standard deviation of the pixel values over a given neighborhood.

Thus, before any part of the plant may safely be eaten the toxins must be removed through extended processing.

Thus, the minimum memory required for a SAX parser is proportional to the maximum depth of the XML file ( i. e., of the XML tree ) and the maximum data involved in a single XML event ( such as the name and attributes of a single start-tag, or the content of a processing instruction, etc.

( c ) Thus the best fit chirp for image processing is often a projective chirp.

Thus an illusion of understanding is generated, even though the processing involved has been merely superficial.

Thus the key technique here — which characterises a program as a chatbot rather than as a serious natural language processing system — is the production of responses that are sufficiently vague and non-specific that they can be understood as " intelligent " in a wide range of conversational contexts.

Thus, positive moods are predicted to lead to decreased processing only when thinking about the message is mood threatening.

Thus modems supporting those standards were becoming steadily more complex and expensive themselves, not to mention the fact that several conflicting standards in the early days of the various 33. 6K ( v34 ) and 56K protocols led to incompatibilities and the construction of modems with upgradeable firmware, which did all of the processing via a programmable DSP.

Thus, layer IV receives all incoming sensory information and distributes it to the other layers for further processing.

Thus, the unavoidable deterioration of the eyes with age can be compensated by boosting the speed and quality of image processing in the visual cortex of the brain.

Thus in an image processing context the original image ƒ can be recovered from the ' sinogram ' data Rƒ by applying a ramp filter ( in the variable ) and then back-projecting.

Thus, Core Image performance depends on the GLSL capabilities of the GPU or the processing power of the CPU.

Thus, the conditions of Type 2 diabetes — high glucose concentrations and increased secretory demand for insulin and IAPP — could lead to the impaired N-terminal processing of proIAPP.

Thus, while the settlement may have been an economic and ideological center where copper processing occurred, it seems unlikely that it would have been the center of a chiefdom.

Thus a medium-size distillery processing 1 million tonnes of sugarcane per year could sell about 5 MW of surplus electricity.

Thus, the extent to which language processing occurs within an anatomical module is considered to be minimal.

Thus, functional module status cannot be granted to language processing based on this evidence.

Thus re-exportation involves export without further processing or transformation of a good that has been imported.

Thus Narrative Inquiry focuses on the organization of human knowledge more than merely the collection and processing of data.

Thus the processor is capable of processing up to 32 threads concurrently.

Thus sour crude is usually processed into heavy crude oil such as diesel and fuel oil rather than gasoline to reduce processing cost.