Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.

Thus Af if and only if Af.

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

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, if public pressure sets the effective limit to the price that the industry may charge, this pressure is itself a function of the wage rate.

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, if one accelerometer is properly aligned, the other is also.

Thus, if we are to observe American folklore in the twentieth century, we will do well to establish the relationships between folklore, nationalism and imperialism at the outset.

Thus, red wine must, if possible, never be disturbed or shaken ; ;

Thus, if what is at issue is whether `` All S is P '', it is indifferent whether `` Some S is not P '' or `` No S is P '', since in either case the judgment in question is false.

Thus most Affidavits now require to be Apostilled if used for cross border issues.

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 throwing a rock at someone for the purpose of hitting him is a battery if the rock in fact strikes the person and is an assault if the rock misses.

Thus, a court officer taking possession of goods under a court order may use force if reasonably necessary.

Thus, there is no assault if an ox gores a man.

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 every historian were to claim that there was a solar eclipse in the year 1600, then though we might at first naively regard that as in violation of natural laws, we'd come to accept it as a fact.

Thus aesthetic judgments might be seen to be based on the senses, emotions, intellectual opinions, will, desires, culture, preferences, values, subconscious behavior, conscious decision, training, instinct, sociological institutions, or some complex combination of these, depending on exactly which theory one employs.

Thus, the quality of evidence to support a clinical decision is a combination of the quality of research data and the clinical ' directness ' of the data.

Thus, a non-intuitive ( e. g., a higher-energy for at least one species ) distribution of electrons in the combination of iron and oxygen must exist, in order to explain the observed diamagnetism and no unpaired electrons.

Thus, the combination of poor harvests, the hardships of the peasants, high taxes, lack of representation of the people, and kingly ineptitude are among the causes of the French Revolution.

Thus the situation seemed plausible, and a combination of her financial woes and her good nature led her to go along with the plan.

Thus cell relay systems may potentially carry any combination of stream-based and packet-based data.

Thus, even if one were to prescribe a likely and reasonable meaning to the sentence, the grammaticality of the sentence is concrete despite being the first time a person had ever uttered the statement, or any part thereof in such a combination.

The French word was derived from the Spanish embarazar, whose first recorded usage was in 1460 in Cancionero de Stúñiga ( Songbook of Stúñiga ) by Álvaro de Luna .< sup > 7 </ sup > The Spanish word likely comes from the Portuguese embaraçar, which probably is a combination of the prefix em-( from Latin in-for " in -") with baraça " a noose ", or " rope ", which makes sense with the synonym encinta (" on noose, on rope " because of the old usage of women to wear a strap of cloth on their dresses when pregnant ).< sup > 8 </ sup > Baraça originated before the Romans began their conquest of the Iberian Peninsula in 218 BCE .< sup > 9 </ sup > Thus, baraça could be related to the Celtic word barr, " tuft ".

That word came from imbarrare, " to block " or " to bar ", which is a combination of in -, " in ", with barra, " bar " ( from the Vulgar Latin barra, which is of unknown origin ).< sup > 11 </ sup > The problem with this theory is that the first known usage of the word in Italian was by Bernardo Davanzati ( 1529 – 1606 ), long after the word had entered Spanish .< sup > 12 </ sup > Thus, modern scholars believe that the Italian word actually came from the Spanish one .< sup > 13 </ sup >

Thus Fourier analysis might be used to decompose a sound into a unique combination of pure tones of various pitches.

Thus for most poker variants involving a combination of faceup and facedown cards ( most variants of stud and community are dealt in this manner ), the standard method is to keep hole cards face-down on the table except when it is that player's turn to act.

Thus, a combination of factors might be important for the decrease in crime not just the CCTV cameras.

Thus, a combination of several factors appears to have led to changes of fashion and ritual.

Thus, “ firewalls ” sufficient to prevent a bank from assisting its affiliate would eliminate the purpose of the combination, but “ workable ” firewalls would be insufficient to prevent such assistance.

Thus, when viewed as an epistemic community, the overall enterprise of the expert members emerges as the product of a combination of shared beliefs and more subtle conformity pressures, rather than a direct drive for concurrence ( Michael J. Mazarr ).

Thus the unification of the four provinces in the Union of South Africa, the idea of the British Commonwealth of Nations, and, finally, the great whole resulting from the combination of the peoples of the earth in a great league of nations were but a logical progression consistent with his philosophical tenets.

Thus, Deleuze attempts to argue that Masochism and Sadism arise from such different impulses that the combination of the two terms is meaningless and misleading.

Thus, early knowledge of lenses and the availability of lenses for spectacles from the 13th century onwards through the 16th century means that it was possible for many individuals to discover the principles of a telescope using a combination of concave or concave and convex lenses ; in the 13th century, Robert Grosseteste wrote several scientific treatises between 1230 and 1235, including De Iride ( Concerning the Rainbow ), in which he said:

Thus, the particular combination of transcription factors and other DNA-binding proteins in a developing tissue controls which genes will be expressed in that tissue.

Since any vector v is a linear combination ∑ v < sup > j </ sup > e < sub > j </ sub > of its components, df is uniquely determined by df < sub > p </ sub >( e < sub > j </ sub >) for each j and each p ∈ U, which are just the partial derivatives of f on U. Thus df provides a way of encoding the partial derivatives of f. It can be decoded by noticing that the coordinates x < sup > 1 </ sup >, x < sup > 2 </ sup >,... x < sup > n </ sup > are themselves functions on U, and so define differential 1-forms dx < sup > 1 </ sup >, dx < sup > 2 </ sup >, ..., dx < sup > n </ sup >.

The French word was derived from the Spanish embarazar, whose first recorded usage was in 1460 in Cancionero de Stúñiga ( Songbook of Stúñiga ) by Álvaro de Luna .< sup > 2 </ sup > The Spanish word comes from the Portuguese embaraçar, which is a combination of the prefix em-( from Latin im-for " in -") with baraço or baraça, " a noose ", or " rope ".< sup > 3 </ sup > Baraça originated before the Romans began their conquest of the Iberian Peninsula in 218 BC .< sup > 4 </ sup > Thus, baraça could be related to the Celtic word barr, " tuft.

Thus, the Black Mass found in The Satanic Rituals is a combination of English, French, and Latin.

Thus a combination must be at least three moves long, but the longer it takes to recoup the initial sacrifice, the more impressive the combination.

Thus, changes in the average coolant temperature, notably from the steam demand of engine throttles, naturally maintains reactor power without intervention from a reactor operator.

Thus it accepts that there is suffering in the world, but maintains that there is no undeserved suffering, and in that sense, no evil.

Thus the waterfall model maintains that one should move to a phase only when its preceding phase is completed and perfected.

Thus a political regime maintains power because people accept and obey its dictates, laws and policies.

Thus, the trust center maintains both the network key and provides point-to-point security.

Thus mud opposite shale sections maintains its voltage difference with the surrounding rock.

Thus the species composition maintains equilibrium.

Thus prepared, the brioche remains light, keeps well, maintains the flavour of butter, without the stench of the starter.

Thus his failure to investigate maintains plausible deniability.

Thus by cross licensing, each party maintains their freedom to bring the commercial product to market.

Thus the method raises and maintains an art studio space above the level of a mere production facility or workshop.

Thus, any view which maintains that something other than knowledge attributions are context-sensitive is not, strictly speaking, a form of Contextualism.

" Thus, the meaning also maintains the literal meaning which is that of a sacred higher being or the pagan genius.

The floor of this crater is kept in permanent shadow from the Sun, and thus maintains a temperature below 100 K. Thus the floor forms a cold trap, and any molecules of water that wander into the crater from cometary impacts can deposit on the floor and remain here almost permanently.

Thus, every local church maintains an individual set of rules, adhering to its own Ordnung, which may vary from district to district as each community administers its own guidelines.

Thus the opera maintains a connection to the marine history of its location.