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Thus a ruler that is one meter long in one frame of reference will not be one meter long in a reference frame that is travelling at a velocity relative to the first frame.
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Thus and ruler
Thus the possibility of re-incorporating Portugal ( up to then Southern Galicia ) into a Kingdom of Portugal and Galicia as before was eliminated and Afonso became sole ruler ( Duke of Portugal ) after demands for independence from the county's church and nobles.
Thus the ruler of North Central Afghanistan decided to shift the capital of the city of Mazar-e-Sharif.
Thus, if the Polish ruler accepted the baptism through Prague's mediation, it had to be sanctioned in Regensburg.
Thus Oda Nobutomo, as the brother to the deceased Nobuhide and deputy to the shugo, used the powerless Yoshimune as his puppet and challenged Nobunaga's place as Owari's new ruler.
Thus the possibility of incorporating Portugal into the Kingdom of Galicia was eliminated and Afonso become sole ruler ( Duke of Portugal ) after demands for independence from the county's people, church and nobles.
Thus, the above construction does not contradict the nontrisectibility of angles with ruler and compass alone.
Thus, for example, he confirmed the rights of the nobles and the city of Cologne, who had turned against their ruler, and even extended these rights.
Thus during the French Revolution Louis XVI had to change his title to indicate he was the monarch of the people rather than sovereign ruler of the land.
Thus a hel-number of five indicates the ruler was fifth in the line of dynastic succession.
Thus Leto's Golden Path gave humanity both immunity to domination by prescient rulers via Siona's genetic trait, and immunity to domination by any single ruler or disaster by spreading them far and wide into unknown reaches of the universe.
Thus, in Legalist theory, ministers and other officials were prevented from performing some other official's duties and were punished if they attempted to blind the ruler with words or failed to warn the ruler of danger.
Thus, the personal union which had existed for over a century between Britain and Hanover came to an end along with the arrangement of Hanover's ruler living in England as the British and Colonies monarch and using a viceroy to represent them in the German territory.
Thus, death ’ s claim to rule even Arcadia is challenged by art ( symbolized by the beautifully dressed maiden ), who must insist that she was discovered in Arcadia too, and that she is the legitimate ruler everywhere, whilst death only usurps its power.
Thus, he headed back to report this to his ruler Lord Chanthakinnaree.
Thus Badr al-Jamali became the most powerful person and de facto ruler of Egypt where as the Caliph himself remained merely a figurehead.
Thus, any sovereign ruler is higher than any formerly sovereign, i. e. mediatized, family of any rank ( thus, the Fürst of Waldeck, sovereign until 1918, was higher than the Duke of Arenberg, mediatized ).
Thus Ingjald made himself the sole ruler of the domains of the murdered kings.
Thus, though he lost the posts of Grand Vizier, governor of Malwa and Gujrat, he became an independent ruler of the newly created state of Hyderabad in 1725.
Thus he became the de facto ruler of his domain and he made alliances independently of the king.
Thus, as principalities and kingdoms grew through conquest and marriage, a ruler could wind up with peoples of many different ethnicities under his dominion.
Thus, Di Xin, also known as Zhou, has served as a ( negative ) exemplar of Confucian principles ( presented as the bad ruler who justifies regime change according to the Mandate of Heaven ), as well as becoming an icon of popular culture.
Thus, for the first time in Islamic history, no ruler claimed spiritual leadership of Islam.
Thus, only Ulugh Beg, who was an excellent mathematician but an incapable ruler, was left to succeed his father.
Thus and is
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.
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