Thus, the monastery became the capital of a state comprising a compact and strategic region between the Lombard principality of Benevento and the Byzantine city-states of the coast ( Naples, Gaeta, and Amalfi ).

Thus the principality ruled politically by a prince-bishop could wholly or largely overlap with his diocesan jurisdiction, but not necessarily ; several lost their actual see ( the city itself ), which could obtain the status of free imperial city.

Thus, the MacCarthy territories were actually over a fourth again greater outside of Desmond proper, due to the independent and considerable principality of Carbery, directly to the south / southeast of Desmond.

Thus, to cite but one example, the Pax Britannica of the nineteenth century, whether with the British navy ruling the seas or with the City of London ruling world finance, was strictly national in motivation, however much other nations ( e.g., the United States ) may have incidentally benefited.

Thus, Margenau remarks: `` A large number of unrelated epicycles was needed to explain the observations, but otherwise the ( Ptolemaic ) system served well and with quantitative precision.

Thus, the Church was born and because of its intrinsic character was soon identified as a conservative institution, determined to resist the forces of change, to identify itself with the political rulers, and to maintain a kind of splendid isolation from the masses.

Thus, when the Russians sent up their first sputnik, American chagrin was human enough, and American determination to put American satellites into orbit was perfectly understandable.

Thus, a finding of conspiracy to restrain trade or attempt to monopolize was excluded from the Court's decision.

Thus, in the last few years, a number of programs which looked very promising at the time their development was commenced have since been completely eliminated.

Thus was invented the single thread sewing machine, which Mr. Gibbs in partnership with Mr. Willcox decided to bring to Brown & Sharpe with the proposal that the small company undertake its manufacture.

Thus it was that Barco, apprehended for mere larceny, now began to suspect that one or another of his murders had been uncovered.

Thus, the energy transferred from the arc to the anode was partly fed back into the arc.

Thus, the dotted line shown in figure 4 was taken as typical for the temperature distribution for all blowing rates.

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

Thus to has light stress both in that was the conclusion that I came to and in that was the conclusion I came to.

Thus the Congress marks a formal recognition of the political system that was central to world politics for a century.

Thus, in the immemorial way -- in the way of the right hand that knows and the left that does not -- was the stage set for tragedy at Bari.

Thus at the same time that William Henry Harrison was preparing to pacify the aborigines of Indiana Territory and winning fame at the battle of Tippecanoe, Anglo-Saxon settlement made a great leap into the center of the North American continent to the west of the American agricultural frontier.

Thus, when Dartmouth's Winter Carnival -- widely recognized as the greatest, wildest, roaringest college weekend anywhere, any time -- was broadcast over a national television hookup, Prexy John Sloan Dickey appeared on the screen in rugged winter garb, topped off by a tam-o'-shanter which he confessed had been acquired from a Smith girl.

Thus when Premier Khrushchev intimated even before inauguration that he hoped for an early meeting with the new President, Mr. Kennedy was confronted with a delicate problem.

Thus `` America '', the most widely sung of the patriotic songs, was written by a New England Baptist clergyman, Samuel Francis Smith ( 1808-1895 ), while a student in Andover Theological Seminary.

Thus, the Mahayana metaphysic of mystical union for salvation was distilled down to a bare self-seeking, and for this reason, the mystic in Asia did not long remain in isolated contemplation.

Thus there was really an excess of eighteenth-century charm as one of these light-weight pieces followed another on Saturday night.

Thus, the masculine animate infinitive dabhumaksanigalu'ahai, meaning to live, was, in the perfect tense, ksu'u'peli'afo, and, in the future, mai'teipa.

Thus, the planetary model of the atom was discarded in favor of one that described atomic orbital zones around the nucleus where a given electron is most likely to be observed.

Thus, colloquially, a person speaking Bengali may use " taka " to refer to money regardless of what currency it is denominated in.

Thus, the copying of any dataset might be called a ' brain dump ' if its contents could be colloquially referred to as a ' brain '.

Thus, while it remains possible that the Babylonians and/or the Pythagoreans may perhaps have had the magic square of three before the Chinese did, more definite evidence will have to turn up from the Middle East or the Classical World before China can lose her claim to the earliest known magic square by more than a thousand years.

Thus, all the antiderivatives of x < sup > 2 </ sup > can be obtained by changing the value of C in F ( x ) = ( x < sup > 3 </ sup >/ 3 ) + C ; where C is an arbitrary constant known as the constant of integration.

Thus, the time of the ion arrival can be used to infer the ion type itself, if the evaporation time is known.

Thus in the spring of 1912, consultations between the various Christian Balkan nations resulted in a network of military alliances which became known as the Balkan League.

Thus the Bauhaus style, also known as the International Style, was marked by the absence of ornamentation and by harmony between the function of an object or a building and its design.

Thus, it has been known for many years that, due to repulsive Coulombic interactions, electrically charged macromolecules in an aqueous environment can exhibit long-range crystal-like correlations with interparticle separation distances, often being considerably greater than the individual particle diameter.

Thus, what is known as the extreme value theorem in calculus generalizes to compact spaces.

Thus, very little of the nature of the pre-contact vegetation is known.

Thus, a Britannica article either has known authorship

Thus many known exoplanets are " hot Jupiters ": planets of Jovian mass or larger in very small orbits with periods of only a few days.

Thus Galen summarised and synthesised the work of his predecessors, and it is in Galen's words ( Galenism ) that Greek medicine was handed down to subsequent generations, such that Galenism became the means by which Greek medicine was known to the world.

Thus, on 10 February of that year, a Junker 52 of the Réseau des Liaisons Aériennes Francaises ( R. L. A. F ), later known as Air France, landed in Plaisance.

Thus, no Nostradamus quatrain is known to have been interpreted as predicting a specific event before it occurred, other than in vague, general terms that could equally apply to any number of other events.

Thus Osiris was identified explicitly with Apis, really an aspect of Ptah, who had already been identified as Osiris by this point, and a syncretism of the two was created, known as Serapis, and depicted as a standard Greek god.

Thus Kant effects his “ Copernican ” revolution of knowledge by changing our perspective on knowledge from a question of “ what can truly be known ” ( i. e. how can we actually come to know universals ), to a question of “ how does the knowing mind operate .”

Thus, sometimes the president and prime minister can be allies, sometimes rivals ; the latter situation is known in France as cohabitation.

Thus the Privy Council, as a whole, ceased to be a body of important confidential advisers to the Sovereign ; the role passed to a committee of the Privy Council, now known as the Cabinet.

Thus we have a model which is technically known as a " nondeterministic pushdown automaton " ( NDPDA or NPDA ).

Thus the republicanism developed during the Renaissance is known as ' classical republicanism ' because it relied on classical models.

Thus, sexual selection takes two major forms: intersexual selection ( also known as ' mate choice ' or ' female choice ') in which males compete with each other to be chosen by females ; and intrasexual selection ( also known as ' male – male competition ') in which members of the less limited sex ( typically males ) compete aggressively among themselves for access to the limiting sex.

Thus, these lines ( known as saps ) needed to be sharply jagged.

Thus, the lap steel guitar is sometimes known as the Hawaiian guitar, particularly in documents from the early 20th century, and today any steel guitar is frequently called a Hawaiian steel guitar.

Thus, although the current standard model of particle physics " in principle " predicts all known non-gravitational phenomena, in practice only a few quantitative results have been derived from the full theory ( e. g., the masses of some of the simplest hadrons ), and these results ( especially the particle masses which are most relevant for low-energy physics ) are less accurate than existing experimental measurements.