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, if a publicly traded company specialises in the acquisition of privately held companies, from a per-share perspective there is a gain with every acquisition that falls within these guidelines.

Thus, from an evolutionary perspective men may have had more to gain from a large increase in resources than women have had, which may be one explanation for why men, and especially poor men, tend to gamble more than women.

Thus, despite the diminished stature of Henry the Lion, Frederick did not gain his allegiances.

Thus the figure of merit of a communications system is not the noise level at the speaker of a radio, for instance, since that depends on the setting of the receiver's gain.

Thus, the term gain on its own is ambiguous.

Thus, stag profit is the financial gain accumulated by the party or individual resulting from the value of the shares rising.

Thus, the Kaldor test supposes that losers could prevent the arrangement and asks whether gainers value their gain so much they would and could pay losers to accept the arrangement, whereas the Hicks test supposes that gainers are able to proceed with the change and asks whether losers consider their loss to be worth less than what it would cost them to pay gainers to agree not to proceed with the change.

Thus, it was explained by the early 1950s that Kryptonians were powerless on their own planet, and would gain super powers only within a lower gravity environment.

Thus, to enter an orbit passing over the poles of the Sun, the spacecraft would have to eliminate the 30 km / s speed it inherited from the Earth's orbit around the Sun and gain the speed needed to orbit the Sun in the pole-to-pole plane — tasks that are impossible with current spacecraft propulsion systems alone, making gravity assist maneuvers essential.

Thus, in theory, a person might gain the ability to control their fetish and reasonably process their own thoughts without being distracted by sexual arousal.

Thus, it is possible to feel ashamed of thought or behavior that no one knows about and to feel guilty about actions that gain the approval of others.

Thus, pulse-based systems — where each transmitted pulse occupies the UWB bandwidth ( or an aggregate of at least 500 MHz of narrow-band carrier ; for example, orthogonal frequency-division multiplexing ( OFDM )— can gain access to the UWB spectrum under the rules.

Thus, the range of water content within which these clays can be worked is very narrow and the loss or gain of water during storage and throwing or forming must be carefully controlled to keep the clay from becoming too wet or too dry to manipulate.

Thus, any single-stage photomultiplier is limited in gain.

Thus, each of the species competes with the others to gain access to the resources.

Thus user today who wants to top up or change engine oil needs to pay close attention to the list of certificates on the oil label ( on the back side ), and gain understanding of the specific manufacturer designation meaning, which number signifies petrol engine, which diesel engine.

Thus on the delivery date, the amount exchanged is not the specified price on the contract but the spot value ( since any gain or loss has already been previously settled by marking to market ).

Thus, an important decision in the game is whether to buy a variety of railroads in order to gain access to all areas of the map for oneself, or to buy railroads in a given area in order to monopolize it and collect the valuable use fees from opponents.

Thus the differential collector current signal is converted to a single ended voltage signal without the intrinsic 50 % losses and the gain is extremely increased.

Thus, the winner of a match can receive four or five points, whereas a loser can receive up to two points for a loss depending on whether they gain any bonus points.

Thus, there was no overall gain from this method during ascent.

Thus it is extremely important to teach them the basic skills to gain their independence.

Thus, adult males gain dominance by age and experience.