Thus, two senses of Fraternity: " one, that followed liberty and equality, was the object of a free pact ; the other preceded liberty and equality as the mark on its work of the divine craftsman.

Thus we find Marx writing to Sorge in October 1877, following the fusion of the German Social Democrats with the Lassalleans, complaining about the reintroduction of utopian socialism into the movement (" which for tens of years we have been clearing out of the German workers ’ heads with so much toil and labour ") by " a whole gang of half-mature students and super-wise doctors who want to give socialism a “ higher ideal ” orientation, that is to say, to replace its materialistic basis ( which demands serious objective study from anyone who tries to use it ) by modern mythology with its goddesses of Justice, Freedom, Equality and Fraternity.

If a description of s, d ( s ), is of minimal length ( i. e. it uses the fewest number of characters ), it is called a minimal description of s. Thus, the length of d ( s ) ( i. e. the number of characters in the description ) is the Kolmogorov complexity of s, written K ( s ).

Thus, the license depends on how a particular application that uses Berkeley DB is distributed to the public.

Thus a statement of the form is said to be true, under a particular interpretation, if there is some object in the domain of discourse of that interpretation that satisfies the predicate that the interpretation uses to assign meaning to the symbol Phil.

Thus the cache that exists on the International Space Station, GC1BE91, uses the launch area Baikonur in Kazakhstan as its position.

Thus, LED technology may be a good replacement in uses such as supermarket freezer lighting and will last longer than other technologies.

Thus, while most organic acids are deprotonated by the ionization of a polar hydrogen-to-oxygen bond, usually accompanied by some form of resonance stabilization ( resulting in a carboxylate ion ), uric acid is deprotonated at a nitrogen atom and uses a tautomeric keto / hydroxy group as an electron-withdrawing group to increase the pK < sub > 1 </ sub > value.

Thus it uses a much more complex ruleset for coding than its predecessor ; for example, it tests for approximately 100 different contexts of the use of the letter C alone.

Thus, for example, the Great Seal of the United States, among other uses, appears on the reverse of the one-dollar bill ; and several of the seals of the U. S. states appear on their respective state flags.

Thus, no matter what type of indexing method any implementation of the element uses, it will have the appropriate Iterator.

Thus, a hexagonal structure uses the least material to create a lattice of cells within a given volume.

Thus, a program will achieve greater performance if it uses memory while it is cached in the upper levels of the memory hierarchy and avoids bringing other data into the upper levels of the hierarchy that will displace data that will be used shortly in the future.

Thus, if a censor uses this method to intercept messages, he or she may then let the letter be sent to the intended recipient who will be unaware that the secret message has already been intercepted by a third party.

Thus, Hemingway uses the archaic " thou " ( particularly in its oblique and possessive form ) to parallel the Spanish pronominal " tú " ( familiar ) and " Usted " ( formal ) forms.

Thus, the Council annexed several thousand acres, which now host commercial, residential and agricultural uses.

Thus it has been more recently proposed that, for example, the pipe organ ( even if it uses electric key action to control solenoid valves ) remain in the aerophones category, and that the electric guitar remain in the chordophones category, etc ..

Thus it has been more recently proposed that, for example, the pipe organ ( even if it uses electric key action to control solenoid valves ) remain in the aerophones category, and that the electric guitar remain in the chordophones category, and so on.

Thus it can be seen that, according to Taimni's interpretation of the Yoga Sutras, samadhi is the main tool the yogin uses to achieve the end goal of yoga, the joining of the individual self with the Universal Absolute.

Thus, we can interpret Boltzmann's constant as being simply the expression ( in terms of more standard physical units ) of the abstract logarithmic unit that is needed to convert the dimensionless pure-number quantity ln W ( which uses an arbitrary choice of base, namely e ) to the more fundamental pure logarithmic quantity Log ( W ), which implies no particular choice of base, and thus no particular choice of physical unit for measuring entropy.

Thus, if the perpetrator uses the prybar to pry open the window and then used his hands to lift the partially opened window, an " entry " would have taken place when he grasped the bottom of the window with his hands.

Thus a unitary structure can be seen as an orthogonal structure, a complex structure, and a symplectic structure, which are required to be compatible ( meaning that one uses the same J in the complex structure and the symplectic form, and that this J is orthogonal ; writing all the groups as matrix groups fixes a J ( which is orthogonal ) and ensures compatibility ).

The Chinese words already introduced by his predecessors he did not alter, and in introducing new terms required in the translation of the Mahayana literature, the 大乘 Tasheng or greater development, he uses SH for SH and usually B for V. Thus the city Shravasti was in Pali Savatthi and in Chinese Sha-ba-ti.

Thus, the 3 / 8 rule is about twice as accurate as the standard method, but it uses one more function value.

Thus in classical analysis, which uses classical logic, in order to prove the full IVT, it is sufficient to prove the constructive version.

Thus Johnston uses, " potentially hundreds of pitches per octave ," in way that is, " radical without being avant-garde ," and not for the creation of, " as-yet-unheard dissonances ," but in order to, " return ... to a kind of musical beauty ," he perceives as diminished in Western music since the adoption of equal-temperament ( Gann 1995, 1 ).

Thus the three-phase system transmits 73 % more power but uses only 50 % more wire.

Thus the only member churches of the present Anglican Communion existing by the mid-18th century were the Church of England, its closely linked sister church, the Church of Ireland ( which also separated from Roman Catholicism under Henry VIII ) and the Scottish Episcopal Church which for parts of the 17th and 18th centuries was partially underground ( it was suspected of Jacobite sympathies ).

Thus 6th century Gallo-Romans of Gregory's class, surrounded by the ruins of Roman temples and public buildings, attributed the destruction they saw to the plundering raids of the Alemanni.

Thus, in 250-1, the Bastarnae were probably involved in the Gothic and Sarmatian invasions which culminated in the Roman defeat at the Battle of Abrittus and the slaying of the emperor Decius ( 251 ).

Thus, Octavian's victory at the Battle of Actium gave him sole and uncontested control of " Mare Nostrum " ( Our Sea i. e. the Roman Mediterannean ) and he became " Augustus Caesar " and the " first citizen " of Rome.

Thus, the Roman Empire had several mystery religions which emphasized initiation.

Thus, despite widely held popular belief outside the Orthodox cultures, there is not one bishop at the head of the Orthodox Church ; references to the Patriarch of Constantinople as a leader equivalent or comparable to a pope in the Roman Catholic Church are mistaken.

Thus, Roman religion is called " myth " by today's dominant religions.

Thus, only those who could afford such weaponry fought as hoplites ; as with the Roman Republican army it was the middle classes who formed the bulk of the infantry.

Thus, most knowledge of Roman Britain has derived from archaeological investigations, and the epigraphic evidence lauding the Britannic achievements of an Emperor of Rome, such as Hadrian ( r. 117 – 38 ) and Antoninus Pius ( r. 138 – 61 ), whose walls demarcated the northern borders of Roman Britain.

Thus they were involved in the struggle for power within France as princes but they also had a religious authority over Roman Catholicism in France as King.

Thus, Christianity acquired an identity distinct from Rabbinic Judaism, but this distinction was not recognised all at once by the Roman Empire, see Split of early Christianity and Judaism for details.

Thus Antony, as Caesar's key adherent and one of the two men around whom power coalesced following his assassination, was one of the three men chiefly responsible for the fall of the Roman Republic.

Thus, Hellenic, Roman, Kemetic, Celtic, Germanic, Baltic and Slavic Reconstructionists aim for the preservation and revival of historical practices and beliefs of Ancient Greece, Ancient Rome, Ancient Egypt, the Celts, the Germanic peoples, the Balts and the Slavs, respectively.

Thus, through the mediation of Holy Roman Emperor Charles IV, he lifted his ban against Visconti, obtaining Bologna only after he signed a hasty peace with Visconti that was highly favorable to him.

Thus, in giving a speech in defense of a poet whose Roman citizenship had been questioned, the orator should examine not only the specifics of that poet's civic status, he should also examine the role and value of poetry and of literature more generally in Roman culture and political life.

Thus, although Enlightenment philosophers saw the Roman Republic as an ideal system, it included no systematic separation of powers, and depended on slave labor.

Thus, Rome had developed a very sophisticated legal system and a refined legal culture when the Roman republic was replaced by the monarchical system of the principate in 27 BC.

Thus, Roman law is often still a mandatory subject for law students in civil law jurisdictions.

Thus the Investiture Contest strengthened local power in the Holy Roman Empire-in contrast to the trend in France and England, where centralized royal power grew.

Thus there is no simple way to find an equivalent in the proleptic Julian calendar of a date quoted using the Roman pre-Julian calendar ( AUC or by reference to consuls ).

Thus, without holding any land directly under the Holy Roman Emperors, the Liechtenstein dynasty was unable to meet the primary requirement to qualify for a seat in the Imperial diet, the Reichstag, although its head was elevated to princely rank in the late 17th century.

Thus the Council Fathers meant to say that the being of the Church as such is a broader entity than the Roman Catholic Church, but within the latter it acquires, in an incomparable way, the character of a true and proper subject.

Thus he presented himself as the fountainhead of the Empire and Roman life and religion.