Thus, we might provide limited assistance in such fields as education, essential transport, communications, and agricultural improvement despite the absence of acceptable country programs.

Thus, an enemy would probably use this weapon for attack on static population centers such as large cities.

Thus there are polynomials Af such that Af.

Thus such great American documentaries as The River and The Plow That Broke The Plains were composed as visual stories rather than as illustrated lectures.

Thus an algorithm can be an algebraic equation such as y

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 while among his own colleagues he seemed merely a hypocritical and arrogant priest, in his relations with his brother humanists, such as Cosimo de ' Medici, he appeared as the student of classical antiquities and especially of Greek theological authors ".

This latter construal is sometimes expressed by saying " there is no fact of the matter as to whether or not P ." Thus, we may speak of anti-realism with respect to other minds, the past, the future, universals, mathematical entities ( such as natural numbers ), moral categories, the material world, or even thought.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

Thus, many users of a given BBS usually lived in the same area, and activities such as BBS Meets or Get Togethers were common, where users of the board would gather at a local restaurant, the SysOp ’ s home or similar venue and meet face to face.

Thus, as with other proposed megafauna cryptids, climate and food supply issues would make such a creature's survival in reported habitats unlikely.

Thus, the Big Bang theory cannot and does not provide any explanation for such an initial condition ; rather, it describes and explains the general evolution of the universe going forward from that point on.

Thus permanent building societies quickly became mortgage banks and in such institutions there always existed a conflict of interest between borrowers and savers.

Thus, a number of Allied soldiers received the Bronze Star Medal in World War II, as well as U. N. soldiers in the Korean War, Vietnamese and allied forces in the Vietnam War, and coalition forces in recent military operations such as the Gulf War, Operation Enduring Freedom and the Iraq War.

Thus far, however, most such cases against file sharers have been settled out of court.

Thus linguists must resort to indirect methods to determine what those rules might be, if indeed rules as such exist.

Thus, in an agent-focused account, such as one that Peter Railton outlines, the actor might be concerned with the general welfare, but the actor is more concerned with the immediate welfare of herself and her friends and family.

Thus the castrati came to supplant both boys ( whose voices broke after only a few years ) and falsettists ( whose voices were weaker and less reliable ) from the top line in such choirs.

Thus the set of strings of length k in the domain is exactly the set of such strings already enumerated.

Thus, if ( M, d ) and ( N, d ) are two metric spaces, and, then there is a constant k such that

Thus, despite all of these desirable properties, such engines have not succeeded in production because of costs for the ceramic components and the limited advantages.

Thus, for instance, the Taking Children Seriously movement has criticised pedagogic coercion by adults, including parents, on children, holding that it is possible and desirable to act with a child in such a way that all activities are consensual.

Thus it is unperturbed by complications such as leap years.

Thus, courts will generally allow a class action in such a situation.

Thus, the Debian Project is an independent decentralized organization ; it is not backed by a company like Linux distributions such as Ubuntu, openSUSE, Fedora, and Mandriva.

Thus there were two classes of baccalarii: the baccalarii cursores, theological candidates passed for admission to the divinity course ; and the baccalarii dispositi, who, having completed this course, were entitled to proceed to the higher degrees.

Thus, many understood Eutyches to be advocating Docetism, a sort of reversal of Arianism — where Arius had denied the consubstantial divinity of Jesus, Eutyches seemed to be denying his human nature.

Thus the vegetable kingdom serves as food for the animal kingdom, in order that the lower manifestation of divinity, existing in the former, may be developed into a higher one.

Thus the Father is not the Son ( this distinction is crucial ), just like " Spirit " is not " Flesh ", but rather, the Father is in the Son in a unique sense, as the fullness of His divinity ( Colossians 2: 9 ).

Thus, Jagannath became known to Europeans as a pagan divinity of monstrous form.

Thus, Jesus Christ is said to be consubstantial with the Father in his divinity and consubstantial with " us " in his humanity.

Thus some scholars, such as Hoskyns, see the term as demonstrating that Mary has understood Jesus ' divinity.

Thus all differences were leveled, and all contrasts erased, in a realm of no distinction, and the harmonious balance of the Lo Shu square could effectively symbolize the world in balanced harmony around a powerful central axis.

Thus, the emperor could draw on sources not available to those with less puissant ancestors.

Thus he maintained that there must be blackness as well as whiteness in snow ; how otherwise could it be turned into dark water?

Thus, the above conditions could be re-written as follows:

Thus, services could be moved to a different machine and, so long as they kept the same service name, there was no need for users to do anything different to continue accessing the service.

Thus they could be used in place of the more expensive Athlon MP in dual socket A motherboards.

Thus, the new charter changed the manner in which the military could exercise its moderating power.

Thus, small minority parties cannot easily enter the Bundestag and prevent the formation of stable majority governments as they could under the Weimar constitution.

Thus, in the Hindu schools, if a claim was made that could not be substantiated by appeal to the textual canon, it would be considered as ridiculous as a claim that the sky was green and, conversely, a claim which could not be substantiated via conventional means might still be justified through textual reference, differentiating this from the epistemology of modern science.

Thus the view from Whitehall early in 1916: If defeat was not imminent, neither was victory ; and the outcome of the war of attrition on the Western Front could not be predicted.

Thus, only the immediate purchaser could recover for a product defect, and if a part was built up out of parts from parts manufacturers, the ultimate buyer could not recover for injury caused by a defect in the part.

Thus, Confucius could not achieve the idealistic reform that he wanted and restore the legitimate rule of the duke, returning to the period of the Duke of Zhou.

Thus, a catalyst that could change the equilibrium would be a perpetual motion machine, a contradiction to the laws of thermodynamics.

Thus a construction of the following type could conceivably arise: " It nearly knocked me off me plates — he was wearing a syrup!

Thus, in Wilson v. U. S. ( 1911 ), he asserted that corporate officers could not resist a subpoena for company records by invoking the Fifth Amendment's privilege against self-incrimination.

Thus, in the event of their death, their estate could pass to a competent heir.

Thus, doublespeak might have theories that have parallels with these theories and could possibly help us to understand the theories underlying doublespeak better.

Thus, an emissary to the Ottoman Empire could expect to be arrested and imprisoned upon the outbreak of hostilities between their State and the empire.

Thus, SETE could not claim copyright on photographs or panoramas of Paris incorporating the lit tower.

Thus, churches actually had money-changing tables at which each coin would be examined separately and a token of actual worth given to the layperson so that he or she could be seen by the other parishioners as putting money in the basket during that part of the service.

Thus, the Audion could not only detect and amplify radio signals, it could transmit them as well.

Thus, since the 19th century many historical Jesus scholars have argued that only one of the two traditions could be authentic.