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

Thus, it has been argued that a voucher system would lead students who do not belong to a preferred religious or ethnic group, or those with disabilities, to become concentrated within the public school system.

Thus the Federal Reserve has both private and public aspects.

Thus, most security researchers set maximum times ( such as 14 days or 30 days ) before fully revealing a vulnerability to the public, since otherwise many vendors would never fix even critical vulnerabilities in their products.

Thus, your watch is your own, but the watch factory belongs to the people. Land, machinery, and all other public utilities will be collective property, neither to be bought nor sold.

Thus, the jurisprudential rule of Miranda must yield in " a situation where concern for public safety must be paramount to adherence to the literal language of the prophylactic rules enunciated in Miranda ".

( Thus, a song that is in the public domain is free to play on the radio, regardless of who performs it or when it was performed.

Thus, the Comptroller General of the Republic has the responsibility to manage public funds.

Thus, personal involvement is linked with public opinion Proverbs that speak to the political disgruntlement include: “ When the Czar spits into the soup dish, it fairly bursts with pride ”; “ If the Czar be a rhymester, woe be to the poets ”; and “ The hen of the Czarina herself does not lay swan ’ s eggs .” While none of these proverbs state directly, “ I hate the Czar and detest my situation ” ( which would have been incredibly dangerous ), they do get their points across.

Thus, its functions largely overreached simple law enforcement activities and included public health concerns, urban planning ( which was important because of the miasma theory of disease ; thus, cemeteries were moved out of town, etc.

Thus, for a language to be used at all it must have some public criterion of identity.

Thus, Jevons anticipated a key feature of the RSA Algorithm for public key cryptography, although he certainly did not invent the concept of public key cryptography.

Thus, even in this age of nuclear reactors, naturally-occurring radon is responsible for the majority of the public exposure to ionizing radiation.

Thus modern political theorists typically legitimize the state with two major ideas: redistribution and the provision of public goods.

Thus, tax collectors often monitor newspaper articles for stories about wealthy people who have lent art to museums for public display, because the artworks have then become subject to personal property tax.

Thus, one parent wanted him to be a scholar, a sastrin, while the other wanted him to have a career dedicated to the laukik, which was secular public administration.

Thus, rather than the ends, public capital is the means.

Thus, by the time of the Roman Empire, a sophist was simply a teacher of rhetoric and a popular public speaker.

Thus public key systems require longer key lengths than symmetric systems for an equivalent level of security.

Thus, market capitalization is one measure of " float " i. e., share value times an equity aggregate, with free and public being others.

Thus in the UK there is cost shifting from the private sector to the public sector, which again is the opposite of the allegation of cost shifting in the U. S. from public providers such as Medicare and Medicaid to the private sector.

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.

Thus if the instrument depends on the pressure or suction effect alone, and this pressure or suction is measured against the air pressure in an ordinary room, in which the doors and windows are carefully closed and a newspaper is then burnt up the chimney, an effect may be produced equal to a wind of 10 mi / h ( 16 km / h ); and the opening of a window in rough weather, or the opening of a door, may entirely alter the registration.

Thus, the boiling point is dependent on the pressure.

Thus, for example, the CGS unit of pressure, barye, is related to the CGS base units of length, mass, and time in the same way as the SI unit of pressure, pascal, is related to the SI base units of length, mass, and time:

Thus encouraged, the encircling regiments remained in place, maintaining continual pressure, until weakened British dispositions enabled the host to make a final surge forward.

Thus, there is a direct mathematical relationship between the pressure and the speed, so if one knows the speed at all points within the airflow one can calculate the pressure, and vice versa.

Thus, the motif of " slavery in Egypt " reflects the historical situation of imperialist control of the Egyptian Empire over Canaan after the conquests of Ramesses II, which declined gradually during the 12th century under the pressure from the Sea Peoples and the general Bronze Age collapse.

Thus a vacuum of 26 inHg gauge is equivalent to an absolute pressure of 30 inHg ( typical atmospheric pressure ) − 26 inHg = 4 inHg.

Thus a vented gauge reference pressure sensor should always read zero pressure when the process pressure connection is held open to the air.

Thus, clockwise air circulation is characteristic of high pressure weather cells in the northern hemisphere.

Thus the total pressure above solution of A and B would be

Thus, in traditional use, the term “ free ” was attached to Gibbs free energy, i. e., for systems at constant pressure and temperature, or to Helmholtz free energy, i. e., for systems at constant volume and temperature, to mean ‘ available in the form of useful work .’ With reference to the Gibbs free energy, we add the qualification that it is the energy free for non-volume work.

) Thus instrumentation had to be developed to maintain such constant altitudes, such as pressure sensors controlling the release of ballast.

Thus, in the limit of ideal gas behavior ( which many gases approximate except at low temperatures and / or extremes of pressure ) this property reduces differences in gas volumetric heat capacity to simple differences in the heat capacities of individual molecules.

Thus, it states that the product of pressure and volume is a constant for a given mass of confined gas as long as the temperature is constant.

Thus Bloom attempts to work out the process by which the small minority of ' strong ' poets manage to create original work in spite of the pressure of influence.