Thus the transformation of Adam Smith's ideal entrepreneur into a mythological detective coincides closely with the decline of the real entrepreneur in economic life.

Thus, many a creativity-oriented aspirant for a career in architecture, drama, or journalism, resigns himself to a real estate business ; ;

Thus, he believed real charity supplied the means for those who wish to help themselves, achieve their goals.

Thus, a single " rule ," like mapping every real number x to x < sup > 2 </ sup >, can lead to distinct functions and, depending on whether the images under that rule are understood to be reals or, more restrictively, non-negative reals.

Thus criminal law grew out what 21st-century lawyers would call torts ; and, in real terms, many acts and omissions classified as crimes actually overlap with civil-law concepts.

Thus if one chooses an infinite number of points in the closed unit interval, some of those points must get arbitrarily close to some real number in that space.

Thus, on a real computer display, each pixel is actually composed of separate red, green, and blue subpixels.

Thus, the only logical possibilities are to accept non-Euclidean geometry as physically real, or to reject the entire notion of physical tests of the axioms of geometry, which can then be imagined as a formal system without any intrinsic real-world meaning.

Thus, any real object cannot remain the same, also because of movement of its physical parts ( even much bigger than molecules ).

Thus, it has generally been used to describe something which, while unreal, is so in a very specific or unusual fashion, usually one emphasizing not just the " not real ," but some form of estrangement from our generally accepted sense of reality.

Thus, Sterne lost his chances for clerical advancement but discovered his real talents ; until the completion of this first work, " he hardly knew that he could write at all, much less with humour so as to make his reader laugh ".

Thus the difference between the two definitions of real numbers can be thought of as the difference in the interpretation of the statement " for all ... there exists ..."

Thus, the logarithm function is an isomorphism from the group of positive real numbers under multiplication to the group of real numbers under addition, represented as a function:

Thus, for real matrices

" Thus without holding a proposition up against the real world, we cannot tell whether the proposition is true or false.

Thus, the current year of the real world could be anywhere between approximately 2199 and 3399.

Thus rill, reel and real fall together in Cockney as ; while full and fool are and may rhyme with cruel.

Thus, a circuit with a low power factor will use higher currents to transfer a given quantity of real power than a circuit with a high power factor.

Thus a " Conversation for Action " can be readily tracked and facilitated by a device with little or no ability to model circumstances in the real world other than the ability to register claims by specific agents about a domain.

Thus, opportunity costs are not restricted to monetary or financial costs: the real cost of output forgone, lost time, pleasure or any other benefit that provides utility should also be considered opportunity costs.

Thus, some objects will end in a real reference, and some with the referenced object, and the machine must be able to tell by reading the final cell which one it is.

Thus the evolution of pathology is evidence of the real value of

Thus, the set of all real numbers,, cannot be its domain.

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.

Thus, if P is a program in L < sub > 2 </ sub > which is a minimal description of s, then InterpretLanguage ( P ) returns the string s. The length of this description of s is the sum of

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 this class of molecules belong to the D < sub > 2d </ sub > point group.

Thus, few drops of diamminesilver ( I ) hydroxide ( Ag ( NH < sub > 3 </ sub >)< sub > 2 </ sub > OH ) reacts with terminal alkynes signaled by formation of a white precipitate of the silver acetylide.

Thus, all the antiderivatives of x < sup > 2 </ sup > can be obtained by changing the value of C in F ( x ) = ( x < sup > 3 </ sup >/ 3 ) + C ; where C is an arbitrary constant known as the constant of integration.

Thus for an ion which traverses a 1 m flight path, across a time of 2000 ns, given an initial accelerating voltage of 5000 V and noting that one amu is 1 × 10 < sup >− 27 </ sup > kg, the mass-to-charge ratio ( more correctly the mass-to-ionisation value ratio ) becomes Z amu / charge.

Thus, oxygen is reduced to water and the original electron acceptors NAD < sup >+</ sup > and quinone are regenerated.

Thus, for example, the English form is is an apparent cognate of German ist, Latin est and Russian < nowiki > jest '</ nowiki >, even though the Germanic, Italic, and Slavic language groups split at least three thousand years ago.

Thus, the molecular formula of ethanol may be written in a paper in conformational, three-dimensional, full two-dimensional ( indicating every bond with no three-dimensional directions ), compressed two-dimensional ( CH < sub > 3 </ sub >– CH < sub > 2 </ sub >– OH ), separating the functional group from another part of the molecule ( C < sub > 2 </ sub > H < sub > 5 </ sub > OH ), or by its atomic constituents ( C < sub > 2 </ sub > H < sub > 6 </ sub > O ), according to what is discussed.

Thus ℵ < sub > 0 </ sub > is a regular cardinal.

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 in A v United Kingdom, the Court dismissed a claim that a derogation lodged by the British government in response to the September 11 attacks was invalid, but went on to find that measures taken by the United Kingdom under that derogation were disproportionate .< ref >

Thus the DTFT of the s sequence is also the Fourier transform of the modulated Dirac comb function .< ref group =" note "> We may also note that:

Thus,,, etc .</ ref > which are particular cases of Diophantine equations.

"< ref name = Stoner > < nowiki > < http :// www. allacademic. com / meta / p245585_index. html ></ nowiki >.</ ref > Thus, in some American colleges where there is no separate School or College of Arts and Sciences per se, political science may be a separate department housed as part of a division or school of Humanities or Liberal Arts.

if there exists an integer such that .< ref > Thus, divisors can be negative as well as positive, although sometimes the term is restricted to positive divisors.

" Conversion ", paragaph 78 .</ ref > Thus, Lutherans reject the " decision theology " which is common among modern evangelicals.

Thus an event will not constitute a natural disaster if it occurs in an area without vulnerability, e. g. an earthquake in an uninhabited area .< ref > Luis Flores Ballesteros.

Thus also Byron: English Bards and Scotch Reviewers ref., 1809 ).

Thus, the UK began to adopt the concept of free trade .< ref >" Corn Law.

Thus, the martyrdom may have occurred in the aftermath of Septimus Severus ’ s decrees of 202 that forbade conversion to Judaism and Christianity .< ref > Brent Shaw, “ The Passion of Perpetua ,” Past and Present 139, ( May 1993 ), JSTOR 30 < http :// www. jstor. org / stable / 651089 >, 10-11.

Servetus sent Calvin several more letters, to which Calvin took offense .< ref > Will Durant < cite > The Story of Civilization: The Reformation </ cite > Chapter XXI, page 481 </ ref > Thus, Calvin's antagonism against Servetus seems to have been based not simply on his views but also on Servetus's tone, which he considered inappropriate.

Thus let V be a vector space of dimension n over the field of scalars S, and let each of f = ( X < sub > 1 </ sub >,..., X < sub > n </ sub >) and f ' = ( Y < sub > 1 </ sub >,..., Y < sub > n </ sub >) be a basis of V .< ref group =" note "> A basis f may here profitably be viewed as a linear isomorphism from R < sup > n </ sup > to V. Regarding f as a row vector whose entries are the elements of the basis, the associated linear isomorphism is then Also, let the change of basis from f to f ′ be given by

Thus the radical is an ideal .</ ref > This is sometimes taken as a definition of radical.

13, 43-67 ( 1988 ), UDK 904. 930. 2 ( 497. 13 )>> 65 <<, pages 56, 57 </ ref > Thus the city was granted the title colonia Iulia Iader, after its founder, and in the next period some of the Roman colonists ( mostly legionary veterans ) settled there.

Thus, it will probably be eventually assigned to a new, yet-to-be-named subfamily .< ref > ( 2006 ): Using ancient and recent DNA to explore relationships of extinct and endangered Leiolopisma skinks ( Reptilia: Scincidae ) in the Mascarene islands.

Thus, Bartlett discovered that Xe undergoes chemical reactions, but the nature of his initial mustard yellow product is complex .< ref name =" grahm "> Further work indicates that Bartlett's product probably contained < sup >−</ sup >, < sup >−</ sup >, and.

Thus it was rated an F4 .< ref name =" doppler spectra ">

Thus some researchers have used mutant mouse models with severe oxidative damage as a model of " accelerated aging " to investigate the possible role of phosphatidylcholine supplementation as a way of slowing down aging-related processes < ref > Mei-Chu Hung, Koji Shibasaki, Riki Yoshida, Masao Sato and Katsumi Imaizumi ( 2001 ).

Thus, when pCr = 2, the chromium concentration is 10 < sup >- 2 </ sup > mol dm < sup >- 3 </ sup ></ ref > The chromate ion is the predominant species in alkaline solutions, but dichromate can become the predominant ion in acidic solutions.

Thus they considered the beginning of Season 9 as the pilot of a new show and replaced the Goa ' uld with the Ori as the main villains .< ref name = tvzones64_24 >

Copyright 2006 </ ref > Thus, P-sinistrocardiale may be a more appropriate term.