Thus we are compelled to face the urbanization of the South -- an urbanization which, despite its dramatic and overwhelming effects upon the Southern culture, has been utterly ignored by the bulk of Southern writers.

Thus Faulkner reminds us, and wisely, that the `` new '' South has gradually evolved out of the Old South, and consequently its agrarian roots persist.

Thus the image of man has suffered complete fragmentation in personal and spiritual qualities, and complete objectification in sub-human and quasi-mechanistic powers.

Thus earth has fallen to the center of the universe.

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 government simultaneously undertook the vast burden of social security which had traditionally been privately discharged, and created a national scarcity which has engendered calamitous problems of social security.

Thus, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.

Thus F satisfies Af if and only if F has the form Af.

Thus in a context in which there has been discussion of snow but mention of local conditions is new, dominant stress will probably be on here in it rarely snows here, but in a context in which there has been discussion of local weather but no mention of snow, dominant stress will probably be on snows.

Thus to has light stress both in that was the conclusion that I came to and in that was the conclusion I came to.

Thus, the public-limit price is raised further by a given wage increase the longer it has been since the previous price increase.

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, a well-planned adobe wall of the appropriate thickness is very effective at controlling inside temperature through the wide daily fluctuations typical of desert climates, a factor which has contributed to its longevity as a building material.

Thus the term asteroid has come increasingly to refer specifically to the small bodies of the inner Solar System out to the orbit of Jupiter, which are usually rocky or metallic.

Thus the negation of the axiom of choice states that there exists a set of nonempty sets which has no choice function.

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, 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.

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.

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, study of this Barnum / Forer effect has been mostly focused on the level of acceptance of fake horoscopes and fake astrological personality profiles.

Thus, it has a year 0, the years before that are designated with negative numbers and the years after that are designated with positive numbers.

Thus the " Aegean Area " has now come to mean the Archipelago with Crete and Cyprus, the Hellenic peninsula with the Ionian islands, and Western Anatolia.

Thus, most recipes that use bay leaves will recommend their removal after the cooking process has finished.

Thus he has him murdered.

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, multiplying by 2 is calculated in base-2 by an arithmetic shift.

Thus the consistency of a sufficiently strong, effective, consistent theory of arithmetic can never be proven in that system itself.

Thus, in a formal theory such as Peano arithmetic in which one can make statements about numbers and their arithmetical relationships to each other, one can use a Gödel numbering to indirectly make statements about the theory itself.

Thus, all indices and exponents are taken modulo N as required by the group arithmetic.

Thus the arithmetic genus of X is the dimension of.

Let L be the language of first-order arithmetic, and let N be the standard structure for L. Thus ( L, N ) is the " interpreted first-order language of arithmetic.

Thus, it is true in all nonstandard models of arithmetic but false in the standard model.

Thus the relation of logical equivalence partitions all primary arithmetic expressions into two equivalence classes: those that simplify to the Cross, and those that simplify to the void.

Thus, for example, there are non-standard models of Peano arithmetic, which contain other objects than just the numbers 0, 1, 2, etc., and yet are elementarily equivalent to the standard model.

Thus logical values can be stored in integer variables, and used anywhere integers would be valid, including in indexing, arithmetic, parsing, and formatting.

Thus arithmetic and mathematics in general is not analytic but synthetic.

Thus arithmetic operations occupied one syllable, addressing operations ( NAMC and VALC ) occupied two, branches three, and long literals ( LT48 ) five.

Thus one could say that AA is a " zonotope arithmetic ".

Thus, the Kolmogorov complexity of the raw file encoding this bitmap is much less than 1. 62 million.

If a description of s, d ( s ), is of minimal length ( i. e. it uses the fewest number of characters ), it is called a minimal description of s. Thus, the length of d ( s ) ( i. e. the number of characters in the description ) is the Kolmogorov complexity of s, written K ( s ).

Thus, two drawbacks to elution mode chromatography, especially at the preparative scale, are operational complexity, due to gradient solvent pumping, and low throughput, due to low column loadings.

Thus the complexity of a digital filter and the computing time involved, grows inversely with, placing a higher cost on filter functions which better approximate the desired behavior.

Thus, the eventually attainable perfection and complexity of manufactured products, while they can be calculated in theory, cannot be predicted with confidence.

Thus, the eventually attainable perfection and complexity of

Thus the challenge of making sense of all this complexity is formidable.

Thus, the so-called blub paradox ( after a hypothetical programming language of average complexity called ' Blub ') says that anyone preferentially using some particular programming language will ' know ' that it is more powerful than some, but not that it is less powerful than others.

Thus the division between " hardware " and " software " began with abstraction being used to deal with the complexity of computing.

Thus, complexity is not a special quality of systems, like for instance the concept of " heat ", but simply a label for all systems whose computations are sophisticated.

Thus, two drawbacks to elution mode chromatography, especially at the preparative scale, are operational complexity, due to gradient solvent pumping, and low throughput, due to low column loadings.

Thus Teilhard postulates the Omega Point as this supreme point of complexity and consciousness, which in his view is the actual cause for the universe to grow in complexity and consciousness.

Thus, as God creates, the universe evolves towards higher forms of complexity, consciousness, and finally with humans, personality, because God, who is drawing the universe towards Him, is a person.

Thus, the eventually attainable perfection and complexity of manufactured products, while they can be calculated in theory, cannot be predicted with confidence.

Thus, even when the exact representation is known, an approximation may yield a sufficiently accurate solution while reducing the complexity of the problem significantly.

To understand the full sweep and complexity of cultures across all of human history, anthropology draws and builds upon knowledge from the social and biological sciences as well as the humanities and physical sciences .” Thus, the field is divided into four subareas: Sociocultural Anthropology, Biological ( or Physical ) Anthropology, Archaeology, and Linguistic Anthropology.

Thus the need for services as much larger units of functionality than traditional functions or classes, lest the sheer complexity of thousands of such granular objects overwhelm the application designer.

Thus, the key result of BTW's paper was its discovery of a mechanism by which the emergence of complexity from simple local interactions could be spontaneous — and therefore plausible as a source of natural complexity — rather than something that was only possible in the lab ( or lab computer ) where it was possible to tune control parameters to precise values.

Thus the number of quantifier alternations required to define a set gives a measure of the complexity of the set.

Thus, Dumont ’ s pleasure in the expansion of power, Roux ’ s internal struggle, Nägeli ’ s drive towards complexity, and Rolph ’ s principle of insatiability and assimilation are fused together into the biological side of Nietzsche ’ s theory of will to power, which is developed in a number of places in his published writings.

Thus, this maintenance is desired to be performed infrequently, even when such increased intervals cause increased complexity and cost to the overhaul.

Thus, barring continual conquest of your neighbors ( which is always subject to diminishing returns ), innovation that increases productivity is – in the long run – the only way out of the dismal science dilemma of declining marginal returns on added investments in complexity.