Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.

Thus Af if and only if Af.

Thus F satisfies Af if and only if F has the form Af.

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, if public pressure sets the effective limit to the price that the industry may charge, this pressure is itself a function of the wage rate.

Thus, during any given year ( A ) if the revenues from the residential service are $7,000,000, ( B ) if the operating expenses imputed to this class of service come to $5,000,000, and ( C ) if the net investment in ( or value of ) the plant and equipment deemed devoted to this service amounts to $30,000,000, the cost analyst will report that residential service, in the aggregate, has yielded a return of $2,000,000 or 6-2/3 per cent.

Thus if the gyro and platform-controller combination maintains the platform with zero angular deviation about the **yf axis, the system can be rotated with an angular velocity Af if a torque is supplied to the gyro output axis Aj.

Thus, if one accelerometer is properly aligned, the other is also.

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, red wine must, if possible, never be disturbed or shaken ; ;

Thus, if what is at issue is whether `` All S is P '', it is indifferent whether `` Some S is not P '' or `` No S is P '', since in either case the judgment in question is false.

Thus most Affidavits now require to be Apostilled if used for cross border issues.

For every group G there is a natural group homomorphism G → Aut ( G ) whose image is the group Inn ( G ) of inner automorphisms and whose kernel is the center of G. Thus, if G has trivial center it can be embedded into its own automorphism group.

Thus throwing a rock at someone for the purpose of hitting him is a battery if the rock in fact strikes the person and is an assault if the rock misses.

Thus, a court officer taking possession of goods under a court order may use force if reasonably necessary.

Thus, there is no assault if an ox gores a man.

Thus, if P is a program in L < sub > 2 </ sub > which is a minimal description of s, then InterpretLanguage ( P ) returns the string s. The length of this description of s is the sum of

Thus, if every historian were to claim that there was a solar eclipse in the year 1600, then though we might at first naively regard that as in violation of natural laws, we'd come to accept it as a fact.

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

Thus, in the event of their death, their estate could pass to a competent heir.

) Thus, we have the appearance of a seemingly causeless selection event in a highly orderly and predictable formulation of the interference pattern.

Thus, if is the total number of trials and is the number of trials where the event occurred, the probability of the event occurring will be approximated by the relative frequency as follows:

Thus the ceremony held at the site of the demolished Bastille, organized by the foremost artistic director of the Revolution, Jacques-Louis David, in August 1793 to mark the inauguration of the new republican constitution, an event coming shortly after the final abolition of all forms of feudal privilege, featured a cantata based on Rousseau's democratic pantheistic deism as expounded in the celebrated " Profession de foi d ' un vicaire savoyard " in Book Four of Émile.

Thus, no Nostradamus quatrain is known to have been interpreted as predicting a specific event before it occurred, other than in vague, general terms that could equally apply to any number of other events.

Thus two people can view the same event and come away with entirely different perceptions of it, even disagreeing about simple facts.

Thus, as an event marker of 1950s water in soil and ground water, < sup > 36 </ sup > Cl is also useful for dating waters less than 50 years before the present.

Thus, in the scaleogram of a continuous wavelet transform of this signal, such an event marks an entire region in the time-scale plane, instead of just one point.

Thus an event will not constitute a natural disaster if it occurs in an area without vulnerability, e. g. an earthquake in an uninhabited area .< ref > Luis Flores Ballesteros.

Thus, the minimum memory required for a SAX parser is proportional to the maximum depth of the XML file ( i. e., of the XML tree ) and the maximum data involved in a single XML event ( such as the name and attributes of a single start-tag, or the content of a processing instruction, etc.

Thus, all measured nakhlites give essentially identical CRE ages of approximately 11 Ma, which when combined with their possible identical formation ages indicates ejection of nakhlites into space from a single location on Mars by a single impact event.

Thus, if creative performance at work is an affective event for the individual doing the creative work, such an effect would likely be evident only in same-day data.

Thus, what man saw as evil, such as wars, epidemia and natural disasters, was in fact only an effect of his perception ; if one adopted God's view, this evil event in fact only took place in the larger divine plan.

Thus, the 5 schilling coins went from an aluminium composition to a silver one, a highly unusual event made possible by the substantial improvement of the Austrian economy in the 1950s.

Thus the final agreement between the two countries stipulated that, in the event of a victorious war against the Ottomans, Bulgaria would receive all of Macedonia south of the Kriva Palanka-Ohrid line.

Thus, a higher interest rate reflects the additional risk that in the event of insolvency, the debt may be uncollectible.

Thus in historical analysis with an argument from silence, the absence of a reference to an event or a document is used to cast doubt on the event not mentioned.

Thus, aside from the annual event in Cape Verde ( which boasts an impressive track record in recent years ), true world-class wave sailing can only really be seen in non-competitive freeriding sessions around the world.

Thus, helots were massacred in 425 BC in a carefully staged event:

Thus I < sub >(| X | ≥ a )</ sub > = 1 if the event | X | ≥ a occurs, and I < sub >(| X | ≥ a )</ sub > = 0 if | X | < a.

Thus, unlike black holes, white holes cannot be continuously observed rather their effect can only be detected around the event itself.

Thus we are compelled to face the urbanization of the South -- an urbanization which, despite its dramatic and overwhelming effects upon the Southern culture, has been utterly ignored by the bulk of Southern writers.

Thus Faulkner reminds us, and wisely, that the `` new '' South has gradually evolved out of the Old South, and consequently its agrarian roots persist.

Thus in both types attention is focused on the community itself, and its phenomenological life.

Thus the student of literature may sometimes find it helpful to classify a poem or an essay as being in idea or in ideal content or subject matter typical or atypical of its period.

Thus, the Church was born and because of its intrinsic character was soon identified as a conservative institution, determined to resist the forces of change, to identify itself with the political rulers, and to maintain a kind of splendid isolation from the masses.

Before them stalked the beadle, proclaiming as he went, `` Thus the Council deals with those who break its laws -- adulterers, thieves, murderers, and lewd persons.

Thus, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.

Thus was invented the single thread sewing machine, which Mr. Gibbs in partnership with Mr. Willcox decided to bring to Brown & Sharpe with the proposal that the small company undertake its manufacture.

Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.

Thus the unstressed it of it rarely snows here gets its significance from its use with snows: nothing can snow snow but `` it ''.

Thus, the Commission acted with a sense of social responsibility within the area of its own convictions about the problem of government support to private education.

Thus, a well-planned adobe wall of the appropriate thickness is very effective at controlling inside temperature through the wide daily fluctuations typical of desert climates, a factor which has contributed to its longevity as a building material.

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 agrarianism is not industrial farming, with its specialization on products and industrial scale.

Thus far the only people who have been attested with a high level of genetic, historical, linguistic and cultural research to be the descendants of the ancient Mesopotamians are the Assyrian Christians of Iraq and its surrounding areas in north west Iran, north east Syria and south eastern Turkey.

Thus, when the fluid finally does strike the object, it is forced to change its properties -- temperature, density, pressure, and Mach number -- in an extremely violent and irreversible fashion called a shock wave.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

Thus, " Armageddon " would mean " Mountain of Assembly ," which Jordan says is " a reference to the assembly at Mount Sinai, and to its replacement, Mount Zion.

Thus, the new charter changed the manner in which the military could exercise its moderating power.

Thus the discovery report by the Berkeley group reads: " It is suggested that element 97 be given the name berkelium ( symbol Bk ) after the city of Berkeley in a manner similar to that used in naming its chemical homologue terbium ( atomic number 65 ) whose name was derived from the town of Ytterby, Sweden, where the rare earth minerals were first found.