Thus the new family descended from the Minamoto ( Seiwa Genji ).

Thus the Emperor orders Genji pardoned, and he returns to Kyoto.

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

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

Thus, when specifically permitted, the operand of a given line on the Autocoder coding sheet may be continued in the operand of from one to four additional lines which immediately follow.

Thus, before the modern assembly line took shape, there were prototypical forms in various industries, as outlined below.

Thus, there was seen a need for a new law that would ensure the continuance of the succession following the death of the last legal heir under the Bill of Rights, being Princess Anne, guaranteeing the line of succession would continue in the Protestant line, and excluding any possible claims by the deposed James II or his son and daughter, James Francis Edward and Louisa Maria Teresa Stuart.

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, on this line of reasoning, the legal validity of a norm necessarily entails its moral justice.

Thus, in 1964, in A Hard Day's Night, John Lennon mischievously taunts the road manager with the line “ If you're gonna have a barney, can I hold your coat ?".

Thus, and in order to provide a clear line of succession and avoid dynastic uncertainty, he arranged for his nephew, King Louis I of Hungary, to be his successor in Poland.

Thus, a short path between the hot surface and the cold surface is necessary, typically by suspending a hot plate covered with a film of feed next to a cold plate with a line of sight in between.

Thus a line has a dimension of one because only one coordinate is needed to specify a point on it ( for example, the point at 5 on a number line ).

Thus the dactylic line most normally looks as follows:

Thus Ξ 200 would be shorthand for Iliad book 14, line 200, while ξ 200 would be Odyssey 14. 200.

Thus, Luxembourg returned to the heirs of the old Luxembourg dynasty – at least those of the line of Elisabeth.

Thus commercial lighting alone consumes about four to five million barrels per day ( equivalent ) of petroleum, in line with the alternate rationale above to estimate U. S. lighting energy consumption.

Thus, as from 1945, the R. L. A. F operated the Paris-Mauritius line.

Thus, when new and full moons occur, the Moon usually lies to the north or south of a direct line through the Earth and Sun.

Thus, " iambic pentameter " is a meter comprising five feet per line, in which the predominant kind of foot is the " iamb ".

Thus followed the line of Lomonosov and the contributions of the Russian school became more frequent through his disciples, and in the nineteenth century we have great geographers as Vasily Dokuchaev who performed works of great importance as a " principle of comprehensive analysis of the territory " and " Russian Chernozem " latter being the most important where introduces the geographical concept of soil, as distinct from a simple geological strata, and thus founding a new geographic area of study: the Pedology.

Thus the expression " point P is incident with line l " is used instead of either " P is on l " or " l passes through P ".

Thus in the present-day Temne we have a people who partly withstood the Mane onslaught: they kept their language, but became ruled by a line of Mane kings.

Thus the new spot splits the line into two shorter lines.

Thus, the gang system worked like an early version of the assembly line later to be found in factories.

Thus mail armour proved to be sufficient protection in most situations.

Thus, Heracles ' very existence proved at least one of Zeus ' many illicit affairs, and Hera often conspired against Zeus ' mortal offspring as revenge for her husband's infidelities.

Thus, farming of the area proved quite impossible until deficiencies of zinc, copper and molybdenum were identified in the 1940s.

Thus, if the number were large enough and proved prime using ECPP, it would be published.

Thus he argued that the soul was a material substance, and that this was proved ( a ) by the circumstance that not only bodily qualities, but also mental capacity, are transmitted by ordinary generation from parent to child ; and ( b ) by the sympathy of the soul with the body seen in the fact that, when the body is struck or cut, the soul is pained ; and when the soul is torn by anxiety or depressed by care, the body is correspondingly affected.

Thus far, biostratigraphy has usually proved considerably more exact.

Thus, the many-worlds quantum model is proved to be both real, and accessible, a fantastic achievement.

Thus, Spider-Man gained the advantage by realizing and attacking this weakness ( after Rhino proved immune to every other form of attack ) by leading O ' Hirn into a steam tunnel and opening up the pipes.

Thus the theory that the Ganges had its source in Mansarover was proved a fable.

Thus, he described the phenomenon of planetshine one hundred years before the German astronomer, Johannes Kepler, proved it.

Thus Paré had proved that the bezoar stone could not cure all poisons.

Thus began a connection which was to last over twenty years, and which proved most fruitful both for the reputation of the two authors and the prosperity of the minor Paris theatres.

Many of them spoke Indo-Aryan Prakrit vernacular languages, akin to Vedic Sanskrit, still some spoke Dravidian, Desi dialects. Thus the ancient of Konkani Prakrit was born as a confluence of the Indo-Aryan dialects while accepting many words from the Dravidian speech. Some linguists associate Shauraseni to be its progenitor whereas some call it Paisaci. The influence of Paisachi over Konkani can be proved from the findings of Dr. Taraporewala who, in his book Elements of Science of Languages, Calcutta University, he ascertains that Konkani shows many Dardic features which are found in present day Kashmiri language.

Thus thrust into the fray, Acuff decided to take his position seriously ; however, the entertainer versus the experienced former governor proved to be the mismatch that could have been anticipated, and Browning won in a landslide.

Thus Q defines an inner product on dom T. Let H < sub > 1 </ sub > be the completion of dom T with respect to Q. H < sub > 1 </ sub > is an abstractly defined space ; for instance its elements can be represented as equivalence classes of Cauchy sequences of elements of dom T. It is not obvious that all elements in H < sub > 1 </ sub > can identified with elements of H. However, the following can be proved:

Thus we have proved: if x is not even, then the square of x is not even.

Thus, the 1880 territory-wide election for a congressional delegate unexpectedly proved the closest that the Liberal Party got to sending a representative to Washington D. C.

Thus, the 1880 state-wide election for a congressional delegate unexpectedly proved the closest that the Liberal Party got to sending a representative to Washington D. C.

Thus, " Gidhāde " proved to be a turning point in Tendulkar's writings with regard to establishment of his own unique writing style.

Thus L ⊆ NL ⊆ P. The inclusion of L into P can also be proved more directly: a decider using O ( log n ) space cannot use more than 2 < sup > O ( log n )</ sup > = n < sup > O ( 1 )</ sup > time, because this is the total number of possible configurations.

Thus, he proved to be unconquerable on the 15th day of war.

Thus the natives of at least twelve Greek city-states worked in a collaboration that was not only rare but proved to be lasting.

Thus, while tactically successful, the battle of Duck Lake proved to be a strategic disappointment for Riel.

Thus, convergence is proved.