Thus there is a clearer division of authority, administrative and legislative.

Thus the division form of Euclid's algorithm starts with a pair of positive integers and forms a new pair that consists of the smaller number and the remainder obtained by dividing the larger number by the smaller number.

Thus, he cautiously states: " But knowing the sure number declared by Scripture, that is six hundred sixty and six, let them await, in the first place, the division of the kingdom into ten ; then, in the next place, when these kings are reigning, and beginning to set their affairs in order, and advance their kingdom, them learn to acknowledge that he who shall come claiming the kingdom for himself, and shall terrify those men of whom we have been speaking, have a name containing the aforesaid number, is truly the abomination of desolation.

"< ref name = Stoner > < nowiki > < http :// www. allacademic. com / meta / p245585_index. html ></ nowiki >.</ ref > Thus, in some American colleges where there is no separate School or College of Arts and Sciences per se, political science may be a separate department housed as part of a division or school of Humanities or Liberal Arts.

Thus the division between " hardware " and " software " began with abstraction being used to deal with the complexity of computing.

Thus, the reading is given by the number of whole divisions that are visible on the scale of the frame, multiplied by 25 ( the number of thousandths of an inch that each division represents ), plus the number of that division on the thimble which coincides with the axial zero line on the frame.

Thus, the reading is given by the number of millimetre divisions visible on the scale of the sleeve plus the particular division on the thimble which coincides with the axial line on the sleeve.

Thus the ammunition columns of a division, forming part of the brigades of field artillery, carry reserve ammunition for the guns, the machine guns of the infantry and the rifles of all arms.

Thus the division set up by Diocletian between civil governors ( praesides etc.

Thus the division will be credited with the 17th and 18th Distinguished Service Cross awardings since 1975.

Thus knowledge can present a division in a relationship and may be destructive.

Thus, from the very beginning of the congress, it was clear that a division between the eastern and western powers was growing.

Thus, subsequent authors usually considered the supposed P. a. cottoni a semi-melanistic color morph, and recognized an allopatric division between the subspecies as listed above.

Thus, Descartes jumps quickly to proofs of the division between the body and mind and that material things exist:

Thus they reproached him because he wrote in Hebrew instead of in the customary Talmudic idiom, because he departed from the Talmudic order and introduced a division and arrangement of his own, and because he dared to sometimes decide according to the Tosefta and the Jerusalem Talmud as against the Babylonian Talmud.

Thus, Murdock's hypotheses regarding the relationships between the sexual division of labor and postmarital residence were basically correct, though, as has been shown by Korotayev, the actual relationships between those two groups of variables are more complicated than he expected ( see, e. g., Korotayev A.

A finite-dimensional simple algebra R is thus a central simple algebra over K. Thus the Artin – Wedderburn theorem reduces the problem of classifying finite-dimensional central simple algebras to the problem of classifying division rings with given center.

Thus, in 1920, the Georgian army and People ’ s Guard together comprised 16 infantry battalions ( 1 army division and a NG regiment ), 1 sapper battalion, 5 field artillery divisions, 2 cavalry legions, 2 motor squadrons with 2 armored car detachments, air detachment and 4 armored trains.

Thus a focus on branching rather than division.

Thus, similar to the pattern in many countries, Ireland's railways were rationalised and faced severe cutbacks while the road division was expanded.

Suppose that R is an algebra over the field C of complex numbers and M = N is a finite-dimensional simple module over R. Then Schur's lemma says that the endomorphism ring of the module M is a division ring ; this division ring contains C in its center, is finite-dimensional over C and is therefore equal to C. Thus the endomorphism ring of the module M is " as small as possible ".

Thus, every possible division of the goods between the two people can be represented as a point in the box.

Thus in March 1979 Colonel Muammar Gaddafi, who kept absolute power ( until his overthrow in 2011 referred to as " Guide of the Revolution "), after ten years as combined Head of State and Head of government of the Libyan Jamahiriya (" state of the masses "), styled Chairman of the Revolutionary Command Council, formally transferred both qualities to the General secretaries of the General People's Congress ( comparable to a Speaker ) respectively to a Prime Minister, in political reality both were his creatures.

Thus Sir Paul McCartney's ex-wife was formally styled Lady McCartney ( rather than Lady Paul McCartney or Lady Heather McCartney ).

Thus, the consular year dating was abandoned in practice, even though it formally remained until the end of the 9th century.

where D denotes the continuum derivative operator, mapping f to its derivative f. The expansion is valid when both sides act on analytic functions, for sufficiently small h. Thus, T < sub > h </ sub >= e < sup > D </ sup >, and formally inverting the exponential yields

Thus free from any allegiance to the King of France, de Montfort successfully petitioned for the English inheritance, which he received the next year, although he did not take full possession for several years, and was not formally recognised as earl until February 1239.

Thus, the club was formally born on April 14, 1912, hours before the Titanic sank into the Atlantic Ocean.

Thus they still formally acknowledged the sovereignty of the Seljuk Sultanate and its successor, the Sultanate of Rûm.

( Thus, V is formally a Hermitian operator.

Thus, the two states formally concluded an alliance on 31 March 1667.

Thus, if we use it in a formal sense, it must be formally described ( and in addition, in Latin, if it is to be used botanically ).

Thus Brigid is officially recognised by the Vatican as a first-millennium saint, recognised by popular acclaim, rather than ever being formally canonized.

Thus, despite being from London, Quainton Road formally became part of the London Underground network.

Thus out of respect for the elders, wedding banquets are usually done formally and traditionally.

Thus BOCES has developed from a special-purpose, interim agency into a formally recognized middle or intermediate unit in New York State's public education system.

Thus, a limited kind of compulsory education was formally introduced.

Thus Pope Pius IX issued the Bull Universalis Ecclesiae of 29 September 1850 by which thirteen new dioceses which did not formally claim any continuity with the pre-Elizabethan English dioceses were created.

Thus Pope Pius IX issued the Bull Universalis Ecclesiae of 29 September 1850 by which thirteen new dioceses which did not formally claim any continuity with the pre-Elizabethan English dioceses were created.

Thus the combination of " Roslin " and " dale " was submitted to the United States Postal Service and the name Roslindale was formally established.

Thus, the Uteck Bowl formally replaced the Atlantic Bowl.

Thus, it is likely that the division of military control in Britannia was formally established by Caracalla sometime between 211-20.

Thus far, he remains the only Ukrainian Prime Minister who formally resigned at his will.

Thus while formally at truce in 1341, the fighting never ceased.

The above is the definition for a map of unpointed spaces ; for a map of pointed spaces ( so ), one also identifies all of ; formally, Thus one end and the " seam " are all identified with

Thus out of respect for the elders, wedding banquets are usually done formally and traditionally, which the older generation is thought to be more comfortable with.