Thus the member of an industrial union comes to regard his officers as business agents who may proceed without interference or recall ; ;

Thus, the binding energy to contain or trap a particle in a smaller region of space, increases without bound, as the region of space grows smaller.

The evaluation order does not affect the value of such expressions, and it can be shown that the same holds for expressions containing any number of operations .< ref > Thus, when is associative, the evaluation order can be left unspecified without causing ambiguity, by omitting the parentheses and writing simply:

Thus while Athens was increasing her navy with the funds they contributed, a revolt always found itself without enough resources or experienced leaders for war.

Thus the week cycle is by itself not a full calendar system ; neither is a system to name the days within a year without a system for identifying the years.

Thus field protection may be the primary mechanism that saved the population, but it is likely that field protection would not have been increased without CITES protection.

) Thus, when Odo returned, he was able to launch a near complete surprise attack on the besieging force, scattering it at the first attack, and slaughtering units caught resting or that fled without weapons or armour.

Thus, only the Logos incarnate suffered and died on the Cross and therefore the Son was able to suffer without suffering.

Thus it can be interpreted without any reference to the zero-point energy ( vacuum energy ) or virtual particles of quantum fields.

Thus, though the former understanding certainly enjoys the greatest popularity, the identification of Plotinus ’ opponents as Gnostic is not without some contention.

Thus, while D-Cinema is a defined standard, though one that is still partly being framed by SMPTE as of 2007, E-Cinema may be anything, ranging from a DVD player connected to a consumer projector to something that approaches the quality of D-Cinema without conforming to some of the standards.

Thus, the only logical possibilities are to accept non-Euclidean geometry as physically real, or to reject the entire notion of physical tests of the axioms of geometry, which can then be imagined as a formal system without any intrinsic real-world meaning.

Thus they do not resolve the ambiguities that E-Prime seeks to alleviate without an additional rule, such as that all sentences must contain a verb.

Thus users can recognize the abnormality of a weather situation without having to define specific space-and time-dependent thresholds.

Thus, in contrast to the sharia, fiqh is not regarded as sacred and the schools of thought have differing views on its details, without viewing other conclusions as sacrilegious.

Thus Finland had to face its big neighbour on its own, without any greater power's protection.

Now, all that lasts is the decaying shell of a once thriving dwelling .” Thus, without the decrepit backdrop to initiate the events, the Gothic Novel would not exist.

Thus the encoder can generate 2 < sup > n </ sup > − 2 codes without triggering an increase in code width.

Thus, for example, two objects may be group isomorphic without being ring isomorphic, since the latter isomorphism selects the additional structure of the multiplicative operator.

Thus the Commons can remove such an officer through a motion of no confidence without a long, drawn-out impeachment.

Thus in 1992, the Catechism of the Catholic Church, while affirming that " the Church does not know of any means other than Baptism that assures entry into eternal beatitude ", but also stating that " God has bound salvation to the sacrament of Baptism, but he himself is not bound by his sacraments ", stated: " As regards children who have died without Baptism, the Church can only entrust them to the mercy of God, as she does in her funeral rites for them.

Thus, on April 28, 2006, after the unofficial repeal of the French First Employment Contract ( CPE ), the Longjumeau ( Essonne ) conseil des prud ' hommes ( labour law court ) judged the New Employment Contract ( CNE ) contrary to international law, and therefore " illegitimate " and " without any juridical value ".

Thus the past, present, future, and anything in and of, would simply exists without possible creation of, or deviation from.

Thus making a conscious entity impossible to exist without cause, and a conscious entity impossible to represent first cause, or solve infinite regress.

Thus, " All-In-God " ( see pantheism ) as stated in one of the Sayings of Gospel of Thomas: " Lift Up A Stone And You Will Find Me There ..." This seemingly contradictory interpretation of Gnosticism's theology is not without controversy.

Thus there were two classes of baccalarii: the baccalarii cursores, theological candidates passed for admission to the divinity course ; and the baccalarii dispositi, who, having completed this course, were entitled to proceed to the higher degrees.

Thus a description of the cat during the course of the experiment — having been entangled with the state of a subatomic particle — becomes a " blur " of " living and dead cat.

Thus, by 1939, both Church ( 1934 ) and Turing ( 1939 ), neither having knowledge of the other's efforts, had individually proposed that their " formal systems " should be definitions of " effective calculability "; neither framed their statements as theses.

Thus, even systems which didn't use the EISA bus gained the advantage of having the ISA standardized, which contributed to its longevity.

Thus, it was not until two centuries had passed that in 1872 Karl Weierstrass presented the first definition of a function with a graph that would today be considered fractal, having the non-intuitive property of being everywhere continuous but nowhere differentiable.

Thus, ISDN can be seen from this perspective as obsolete before it fairly started, having been overtaken in most places by the disruptive technology of ADSL.

Thus having been " Mirandized " a suspect may avow explicitly the invocation of these rights, or, alternatively, simply remain silent.

Thus, the term is more one of common application to macroscopic fungal fruiting bodies than one having precise taxonomic meaning.

Thus the Masurian population in 1890, 143, 397 were reported by German officials as having German as their language ( either primary or secondary ), 152, 186 Polish, and 94, 961 Masurian.

Thus, for example, if a pope's reign commenced on 1 August and he died on 2 August, this would count as having reigned for two calendar days.

Thus, on July 28, Seward was able to certify unconditionally that the amendment was part of the Constitution without having to endorse the Congress's assertion that the withdrawals were ineffective.

Thus one could have a test of without having a test of its contrapositive.

Thus, a speech sound having an adductory gesture may be referred to as a " glottal stop " even if the vocal fold vibrations do not entirely stop.

Thus for n cascaded sections all having matching impedances facing each other, the overall propagation constant is given by,

Thus, Henri Rochefort wrote a piece in " L ' Intransigeant ", claiming Zola had committed suicide, having discovered Dreyfus to be in fact guilty.

Thus, Cortland County was created from the southern half of Onondaga County as part of the Boston Ten Towns on April 8, 1808, and was named in honor of the Pierre Van Cortlandt family-Pierre, Sr. having been the first lieutenant governor of the state.

Thus, intuitively we could interpret the fraction of as representing the ratio of the labor one has to perform when going from a randomly chosen configuration to another randomly chosen configuration, relative to the difficulty of having to cross the " most difficult " path of length which involves moving all the disks from one peg to another.

Thus the history of English military law up to 1879 may be divided into three periods, each having a distinct constitutional aspect: ( I ) prior to 1689, the army, being regarded as so many personal retainers of the sovereign rather than servants of the state, was mainly governed by the will of the sovereign ; ( 2 ) between 1689 and 1803, the army, being recognized as a permanent force, was governed within the realm by statute and without it by the prerogative of the crown and ( 3 ) from 1803 to 1879, it was governed either directly by statute or by the sovereign under an authority derived from and defined and limited by statute.

Thus the issuer of the currency keeps the whole seigniorage profit, by not having to buy worn out issued currency back at face value.

Thus juvenile blood ( which looks like wet extracts appearing on the skin ) is being transformed into richer blood, having the color of mature wine.

Thus in the Gigantomachy, the Moirai and Heracles, having joined the Olympians, defeated the Giants and quelled the rebellion, confirming their reign over the earth, sea, and heaven, and confining the Giants into Tartarus.

Thus an eye care professional, having determined that a myopic ( nearsighted ) person requires a basic correction of, say, − 2 dioptres to restore normal distance vision, might then make a further prescription of ' add 1 ' for reading, to make up for lack of accommodation ( ability to alter focus ).

Thus, Bṛhaspati is referred to as possessing a powerful bow with " Ṛta as its string " and as one prepared to " mount the chariot of Ṛta "; Agni is described as one who is " desirous of Ṛta ", one who is " Ṛta-minded " and as he who " spread Heaven and Earth by Ṛta "; the Maruts are referred to as " rejoicing in the house of Ṛta " and as " knowers of Ṛta "; Ushas is described as having been " placed at the root of Ṛta "; Varuna is praised as " having the form of Ṛta " and, along with Mitra as Mitra-Varuna, as " destroying the foes by Ṛta " and as " professing Ṛta by Ṛta ".