Thus we enter 1961 in a strong financial position.

Thus he will be in a position to disabuse the Soviet leader of any notions he may have about grave Allied disunity.

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 the farmers were placed in a disadvantageous economic position.

Thus, that year ( 501 BC ), Confucius came to be appointed to the minor position of governor of a town.

Thus, one nucleus offers a more tightly bound position to an electron than does another nucleus, with the result that one atom may transfer an electron to the other.

Thus he sought a position in astronomy, and in 1807 was appointed Professor of Astronomy and Director of the astronomical observatory in Göttingen, a post he held for the remainder of his life.

Thus, Cyril followed his uncle in a position that had become powerful and influential, rivalling that of the prefect in a time of turmoil and frequently violent conflict between the cosmopolitan city's Pagan, Jewish, and Christian inhabitants.

Thus a spacecraft can determine its relative position by tracking such asteroids across the star background, which appears fixed over such timescales.

Thus in Hippolytus, a love-sick queen rationalizes her position and arrives at this comment on intrinsic merit while reflecting on adultery:

Thus the cache that exists on the International Space Station, GC1BE91, uses the launch area Baikonur in Kazakhstan as its position.

Thus for map projections we must introduce the concept of point scale, which is a function of position, and strive to keep its variation within narrow bounds.

Thus the paradox of creating new information, information itself, or creating existence itself and an information system such as a cognitive system into existence from a position of infinitely knowing, becomes a self-refuting argument and defies the listed " omni " attributes.

Thus, Player 1 is motivated to play a balanced first four moves ; otherwise, Player 2 can easily win by selecting the side with the stronger position.

Thus Netanyahu, despite his theoretical position of power, needed the support of the religious parties to form a viable government.

Thus the terms tabloid and broadsheet are, in non-technical usage, today more descriptive of a newspaper's market position than its physical size.

Thus, the title of mep ' e might have been applied to Tamar to mark out her unique position among women.

Thus, the effect of the accidental has to be understood in relation to the " natural " meaning of the note's staff position.

Thus, from the starting position, it takes little skill and no imagination to avoid losing, and nothing in the rules prevents games from being interminable.

Thus Albert became king, a position he was reluctant to accept.

Thus, although many Determinists are Compatibilists, calling someone a ' Determinist ' is often done to denote the ' Hard Determinist ' position.

Thus disgraced, Brandt resigned from his position as the Chancellor on 6 May 1974.

Thus, he became the least senior Senator ever elected to this position, and one of the least senior party leaders in the history of the Senate.

Thus, if a metal is subject to lending guidance, dominant position holders may be required to lend tom-next, that is sell a tom-position and buy a cash-position, should the backwardation for that period exceed a certain exchange-set percentage.

Thus, although considered as the most powerful political position in Austria, he has a much weaker standing than the United States President or the Prime Minister of the United Kingdom.

Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.

Thus jazz is transmuted into something holy, the sacred road to integration of being.

Thus the fictional detective is much more than a simple businessman.

Thus the cocktail party would appear to be the ideal system, but there is one weakness.

Thus in both types attention is focused on the community itself, and its phenomenological life.

Thus, it is no mystical intuition, but an analyzable conception to say that man and his tradition can `` fall out of existence ''.

Thus human perception and human volition is the immanent cause of all social change and this most truly when the change reaches the civilizational level.

Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.

Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

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 copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.

Thus there is a clearer division of authority, administrative and legislative.

Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.

Thus, the need for the B-70 as a strategic weapon system is doubtful.

Thus technical efficiency is achieved at the expense of actual experience.

Thus, there is an added incentive to stay on the job.

Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.

Thus T is not diagonalizable.

Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

Thus in the three-dice example Af, Af, and the independence assumption imply that the probability that the three dice fall ace, not-ace, ace in that order is Af.

Thus we do not score the number of bull's-eyes, and the random variable is not the number of successes.

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 Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.