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Thus and if
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 and instrument
Thus, in the broadest sense, the first electrified musical instrument was the Denis d ' or, dating from 1753, followed shortly by the Clavecin électrique by the Frenchman Jean-Baptiste de Laborde in 1761.
Thus, on a compensating four-valved instrument, the lowest note possible is B0, sometimes called double pedal B, which is six ledger lines below the bass clef.
Thus, for a musician, playing an instrument may be at one time a profession, and at another a recreation there is a lot more to do.
Thus a D whistle is fairly apt for playing both G and A, and a C instrument can be used fairly easily for F and G.
Thus a 1000-watt instrument at 50 percent power will emit a higher percentage of orange light than a 500-watt instrument operating at full power.
Thus an object can be classified as " invisible to " a person, animal, instrument, etc.
Thus Strauss's own arguments contradict the thesis imputed to him posthumously by scholars such as S. Drury who profess that Strauss approached religion as an instrument devoid of inherent purpose or meaning.
Thus, the two instruments gradually shift out of unison, creating first a slight echo as one instrument plays a little behind the other, then a doubling with each note heard twice, then a complex ringing effect, and eventually coming back through doubling and echo into unison.
Thus Alba, by his unrelenting harshness, became the unwitting instrument of the future independence of the seven Dutch provinces.
Thus, Whig ideas of the commons growing in authority as against royal power are somewhat simplistic-the Crown used the Commons as and when it found it advantageous to do so, and the speakership was part of the process of making the Commons a more cohesive, defined and effective instrument of the king's government.
Thus, musicians can join in with an over-the phone instrument and follow our live beat or provide a responsive bed for our elements.
Thus, a bore with a wide " bell " at the bottom of the instrument ( as with Renaissance recorders ) responds best to holding the throat wide open, to direct the airflow in a wide current so as to resonate the entire length and width of the bore.
Thus came the VCS3, an entire new class of musical instrument.
Thus, pointing of a different instrument to the same cosmic object meant repointing the entire ISO satellite.
Thus a virtual instrument can either be run as a program, with the front panel serving as a user interface, or, when dropped as a node onto the block diagram, the front panel defines the inputs and outputs for the given node through the connector panel.
Thus, the mass of a grain of sand can be used as a unit of mass because it is possible to estimate the ratio of the mass of another object to the mass of a grain of sand, given an appropriate instrument.
Thus an orbiting instrument can in principle map the surface distribution of the elements for an entire planet.
Thus Davis was able to optimize the construction of the quadrant to have both a small and a large arc, allowing the effective accuracy of a single arc quadrant of large radius without making the entire instrument so large.
Thus, a writing containing such a disclaimer removes such a writing from the definition of negotiable instrument, instead simply memorializing a contract.
Thus, for a writing to be a negotiable instrument under Article 3, the following requirements must be met:
Thus, the purpose of the instrument is to regulate enforcement of intellectual property rights, not the rights themselves.
Thus, the Manifestations of God are special beings, having a unique relationship to God as they have been sent by God from the spiritual world as an instrument of divine revelation.
Thus, with knowledge of the current time and geographical position in the form of latitude and longitude, which are set on the instrument using dials, an astrocompass can be sighted on to any astronomical object with a known position to give an extremely accurate reading.

3.282 seconds.