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 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.

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 the lack of effective recognition of the responsibilities involved in caring for two babies showed signs of becoming a disabling problem.

Thus it is reasonable to believe that there is a significant difference between the two groups in their performance on this task after a brief `` structuring '' experience.

Thus one line in five from The Iliad and The Odyssey is to be found somewhere else in the two poems.

Thus, the combined efficiency of the elements replaced by the two fiber plates ( with a combined efficiency of 0.25 ) is 0.043 or about six times less than that of the two fiber plates.

Thus, according to the character Pausanias in Plato's Symposium, Aphrodite is two goddesses, one older while the other younger.

Thus, from the human body, the usual form assigned to the Deity, forasmuch as it is written that God created man in his own image, issue the two supporters, Nous and Logos, symbols of the inner sense and the quickening understanding, as typified by the serpents, for the same reason that had induced the old Greeks to assign this reptile for an attribute to Pallas.

Thus for example two separate quotes by Athenaeus were united by Theodor Bergk to form fr. 362.

Thus in the classical tradition of later Western art and literature, the mythology of the two figures becomes virtually indistinguishable.

Thus two indices are used for a two dimensional array, three for a three dimensional array, and n for an n dimensional array.

Thus they add two equivalents of bromine whereas an alkene adds only one equivalent.

Thus, ocular albinism occurs more frequently in males as they have a single X and Y chromosome, unlike females, whose genetics are characterized by two X chromosomes.

Thus, the broadcast domain is the entire inter-connected layer two network, and the segments connected to each switch / bridge port are each a collision domain.

Thus, the energy required to break any single pair is related to the energy required to break all of the pairs ( or more than just two electrons ).

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, a Blackwood query by the player holding two quick losers in a side suit is a wild gamble, as it is still possible that the suit is not controlled by an Ace or a King.

Thus, Blackwood will not tell you what you want to know: Are we at risk of losing the first two tricks?

Thus, if two species use the same codon at the same place to specify an amino acid that can be represented by more than one codon, that is evidence for a recent common ancestor.

Thus an understanding of how these two levels relate to each other is needed.

Thus, two versions distributed by rival syndicates graced the comics pages for decades.

Thus, a week of Beetle Bailey would arrive at the Lansing State Journal in two sheets, printed much larger than the final version and ready to be cut apart and fitted into the local comics page.

Thus, covalent bonding involves sharing of electrons in which the positively charged nuclei of two or more atoms simultaneously attract the negatively charged electrons that are being shared between them.

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

Thus, covalent bonding does not necessarily require the two atoms be of the same elements, only that they be of comparable electronegativity.