Thus, his estimate lies between Oliver's suggestion of at least 37 feet and the 50-foot `` monstrous freaks '' intimated by Heuvelmans.

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 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, if we are to observe American folklore in the twentieth century, we will do well to establish the relationships between folklore, nationalism and imperialism at the outset.

Thus it blurred the distinctions between a reliability trial, a general event and a race.

Thus, at pH between 2. 2 and 9. 4, the predominant form adopted by α-amino acids contains a negative carboxylate and a positive α-ammonium group, as shown in structure ( 2 ) on the right, so has net zero charge.

Thus, boundaries between CAM and mainstream medicine, as well as among different CAM systems, are often blurred and are constantly changing.

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 permanent building societies quickly became mortgage banks and in such institutions there always existed a conflict of interest between borrowers and savers.

Thus, according to the Bank of England's Boxall and Gallagher ( 1997 ), "... there was virtually no difference between banks and building society ' listed ' interest rates for home finance mortgage lending between 1984 and 1997.

Thus, what started as an effort to translate between languages evolved into an entire discipline devoted to understanding how to represent and process natural languages using computers.

Thus, the most stable configuration of nuclei and electrons is one in which the electrons spend more time between nuclei, than anywhere else in space.

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, no two nuclear powers have yet fought a conventional war directly, with the exception of brief skirmishes between for example, China and Russia in the 1969 Sino-Soviet conflict and between India and Pakistan in the 1999 Kargil War.

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, the struggle between the sees of Alexandria and Antioch now included Constantinople.

Thus, it might be used to challenge the sharp distinction made in U. S. v. E. C. Knight ( 1895 ) between commerce, which was subject to federal regulation, and manufacturing, which was not.

Thus he divides perceptions between strong and lively " impressions " or direct sensations and fainter " ideas ", which are copied from impressions.

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 any popular general-purpose data model usually well balances between being intuitive and relatively simple, and very complex with high expressive power.

Thus it works as a separation sign and not as an indication for an alternative version of the i. Diacritics can be used for emphasis ( érg koud for very cold ) or for disambiguation between a number of words that are spelled the same when context doesn't indicate the correct meaning ( één appel

Thus, the treaty made an important impact on International Law including effects on the 1878 Congress of Berlin.

Thus, trichromatic theory can not explain all afterimage phenomena, indicating the need for an opponent-process theory such as that articulated by Ewald Hering ( 1878 ) and further developed by Hurvich and Jameson ( 1957 ).

Thus in 1878 they founded the Majlis Muid al-Islam, the immediate aim of which was to raise money to help the Ottoman Empire in its war with Russia.

Thus in four close U. S. elections ( 1824, 1876, 1888, and 2000 ), the candidate with the most popular votes still lost the election.

Thus founding the city of Kirkland in 1888, officially one of the earliest on the Eastside at the time, Kirk ’ s vision of a " Pittsburgh of the West " was beginning to take form.

The list includes Macbeth ( 1886 — 7 ), Don Juan ( 1888 — 9 ), Tod und Verklärung ( Death and Transfiguration, 1888 – 9 ), Till Eulenspiegels lustige Streiche ( Till Eulenspiegel's Merry Pranks, 1894 – 95 ), Also sprach Zarathustra ( Thus Spoke Zoroaster, 1896 ), Don Quixote ( 1897 ), Ein Heldenleben ( A Hero's Life, 1897 – 98 ), Symphonia Domestica ( Domestic Symphony, 1902 – 03 ) and Eine Alpensinfonie ( An Alpine Symphony, 1911 – 1915 ).

In Ecce Homo ( 1888 ), he wrote that he thought of the eternal return as the " fundamental conception " of Thus Spoke Zarathustra.

Rhodes concluded a treaty with Lobengula, promising 100 rifles in return for concessions encompassing most of Matebeleland. Thus, through deception, Beit founded the British South Africa Company in 1888.

Thus, novelist Zdenka Becker emigrated from Slovakia, Dimitré Dinev from Bulgaria, and Vladimir Vertlib was born in Ukraine.

Thus, the most of these emigrated to Cuba and Puerto Rico, where they were exploited at work and were paid very little.

Thus, direct comparisons can be drawn with free burning arcs which have been studied in detail during the past years and decades by numerous investigators ( Ref. 3 ).

Thus #, $ and % were placed to correspond to 3, 4, and 5 in the adjacent column.

Thus numbers like 2 and 120 ( 2 × 60 ), 3 and 180 ( 3 × 60 ), 4 and 240 ( 4 × 60 ), looked the same because the larger numbers lacked a final sexagesimal placeholder.

Thus, if a two-dimensional array has rows and columns indexed from 1 to 10 and 1 to 20, respectively, then replacing B by B + c < sub > 1 </ sub >-− 3 c < sub > 1 </ sub > will cause them to be renumbered from 0 through 9 and 4 through 23, respectively.

“ Acts, then is a continuation of the Lucan Gospel, not in the sense that it relates what Jesus continued to do, but how his followers carried out his commission under the guidance of his Spirit .” Thus, part of the answer to the purpose of Acts is that Luke is writing to Theophilus, who is also mentioned in Luke 1: 3, in order to explain to him the occurrences that take place in the church that fulfill Jesus ’ promise to his disciples that “ you will be baptized with, the Holy Spirit not many days from now ” ( Acts 1: 5 ).

Thus, a heretic bearing the name of Sason (= Joy ) once remarked to him, " In the next world your people will have to draw water for me ; for thus it is written in the Bible ( Isaiah 12: 3 ), ' With joy shall ye draw water.

Thus, few drops of diamminesilver ( I ) hydroxide ( Ag ( NH < sub > 3 </ sub >)< sub > 2 </ sub > OH ) reacts with terminal alkynes signaled by formation of a white precipitate of the silver acetylide.

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, after a bid of 3, bids of 2 or 3 are not sufficient, but 3 or 4 are.

Thus, if the score was 3 – 2 with the bases loaded in the bottom of the ninth, and the batter smacked an " over the fence home run ", the game would end at 4 – 3, with the batter only allowed a double, and the runners officially stopped on 2nd and 3rd ( since they were not needed to win the game ).

Thus, the molecular formula of ethanol may be written in a paper in conformational, three-dimensional, full two-dimensional ( indicating every bond with no three-dimensional directions ), compressed two-dimensional ( CH < sub > 3 </ sub >– CH < sub > 2 </ sub >– OH ), separating the functional group from another part of the molecule ( C < sub > 2 </ sub > H < sub > 5 </ sub > OH ), or by its atomic constituents ( C < sub > 2 </ sub > H < sub > 6 </ sub > O ), according to what is discussed.

Thus, middle C would be heard as the note B < sub > 3 </ sub > just below it, and so on.

Thus the CSF turns over about 3. 7 times a day.

Thus the halides DbX < sub > 5 </ sub > should react with water to form DbOX < sub > 3 </ sub >.

Thus, would contain 3 moieties ( 2 Na < sup >+</ sup > and one SO < sub > 4 </ sub >< sup > 2 -</ sup >).

Thus 2. 5 cm < sup > 3 </ sup > contain about a googol Planck spaces.

Thus in the upper block there are 2 < sup > n </ sup > − 3 codes available to the decoder that won't trigger an increase in code width.

Thus it has arithmetic complexity of O ( n < sup > 3 </ sup >).

Thus, the nearest formal oxidation state of iron in Hb-O < sub > 2 </ sub > is the + 3 state, with oxygen in the-1 state ( as superoxide. O < sub > 2 </ sub >< sup >-</ sup >).

Thus for example Theocritus presents catalogues of heroines in two of his bucolic poems ( 3. 40 – 51 and 20. 34 – 41 ), where both passages are recited in character by lovelorn rustics.