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, 1745 corresponded to the invention of the `` Leiden '' jar by Kleist, 1764 that of the electrophorus by Wilcke, 1782 produced the condenser of Volta, and 1801 the voltaic pile.

Thus it was the Aeginetans who, within 30 or 40 years of the invention of coinage in Asia Minor by the Ionian Greeks or the Lydians ( c. 630 BC ), introduced coinage to the Western world.

Thus, the culmination of the invention of the photograph was a break in art's history towards the challenge facing the artist-since the earliest known cave drawings-trying to replicate the scenes they viewed.

Thus Ungerboeck's invention played a key role in the Information Age.

Thus the Greek word Trismegistos " thrice grand " was first used as a Greek name for the Egyptian god of science and invention, Thot, and later as an epitheton for the Greek Hermes and, finally, the fully equated Roman Mercurius ( Mercury ; both were also messenger of the gods ).

Thus contact electrification leads to the invention of the diode or rectifier and triggers the revolution in Semiconductor electronics and physics.

Thus after graduation from Princeton University in 1927 Young searched for a suitable invention to develop.

Thus this form of printing would be three centuries before its " official " invention.

Thus, provided an inventor is diligent in actually reducing an application to practice, he or she will be the first inventor and the inventor entitled to a patent, even if another files a patent application, constructively reducing the invention to practice, before the inventor.

Thus, Tom constructively reduced his invention to practice on February 1, 2006.

Thus the baseball world came to know of Freddy Goldsmith and his invention -- " the curve ball.

Thus a need arose to view and map locations ( like a mountain top ) from a long distance, which led to the invention of limelight light source, and later the incandescent light.

Thus if one desires to wear the belted plaid at Highland Games, it would not be inappropriate ( much less incorrect ) to wear any tartan pattern of one's choosing or invention.

Thus, b1ff has mainly evolved into 1337, a more introverted language which, although it does include letter-number replacement, also includes letter mixing ( e. g. " pr0n "), similar-sound substitution ( e. g. " h4xx " for " hack "), ' building ' a letter from multiple characters ( e. g. x from ><), and the invention of new words as a substitute for common words.

Thus, there are circumstances where it is difficult to determine whether the exhaustion doctrine is triggered, in light of the restrictions that the patentee has placed on the sale or use of the patented invention.

Thus, in the example cited above Fromm rests his whole case on the premise that the workers are being deprived unconsciously, unknowingly, of fulfillment, and then supports this with survey data reporting conscious, experienced frustrations.

Thus the electrons stay paired together and resist all kicks, and the electron flow as a whole ( the current through the superconductor ) will not experience resistance.

Thus understood, Fascism is totalitarian, and the Fascist State — a synthesis and a unit inclusive of all values — interprets, develops, and potentiates the whole life of a people.

Thus, the whole war could be decided by a single field battle ; victory was enforced by ransoming the fallen back to the defeated, called the " Custom of the Greeks ".

Thus the Privy Council, as a whole, ceased to be a body of important confidential advisers to the Sovereign ; the role passed to a committee of the Privy Council, now known as the Cabinet.

Thus the Riemann zeta function is a meromorphic function on the whole complex s-plane, which is holomorphic everywhere except for a simple pole at s = 1 with residue 1.

Thus, flavor is maximized by storing a spice whole and grinding when needed.

Thus Tantra, especially in its nondual forms, rejected the renunciant values of Patañjalian yoga, offering instead a vision of the whole of reality as the self-expression of a single, free and blissful Divine Consciousness under whatever name, whether Śiva or Buddha-nature.

Thus the Bahá ' í view promotes the unity of humanity, and that people's vision should be world-embracing and that people should love the whole world rather than just their nation.

Thus the greater part of the valley of the Esk and the whole of Liddesdale can be considered to be northern English dialects rather than Scots ones.

Thus, a dichotomy between the whole language approach and phonics emerged in the United States causing intense debate.

Thus, the reading is given by the number of whole divisions that are visible on the scale of the frame, multiplied by 25 ( the number of thousandths of an inch that each division represents ), plus the number of that division on the thimble which coincides with the axial zero line on the frame.

Thus, the reading for metric micrometers of this type is the number of whole millimetres ( if any ) and the number of hundredths of a millimetre, as with an ordinary micrometer, and the number of thousandths of a millimetre given by the coinciding vernier line on the sleeve vernier scale.

Thus, Russia found herself in a war with the whole of Europe allied against her.

Thus, in 1948 Virginia Heyer wrote, " Cultural relativity, to phrase it in starkest abstraction, states the relativity of the part to the whole.

Thus, the whole of Greece moved against Troy in force.

Thus, the " Western Civilization ", comprising all the nations that have existed in Western Europe since the collapse of the Western Roman Empire, was treated as a whole, and distinguished from both the " Orthodox " civilization of Russia and the Balkans, and from the Greco-Roman civilization that preceded it.

" Thus the whole

Thus, as the Pharisees argued that all Israel should act as priests, the Rabbis argued that all Israel should act as rabbis: " The rabbis furthermore want to transform the entire Jewish community into an academy where the whole Torah is studied and kept .... redemption depends on the " rabbinization " of all Israel, that is, upon the attainment of all Jewry of a full and complete embodiment of revelation or Torah, thus achieving a perfect replica of heaven.

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, he claims " The Gulag Archipelago spoke for a whole nation and was the voice of all those who suffered ".

Thus, this function is not meromorphic in the whole complex plane.

Thus, even if both terms are allowed in Spanish, the usage of el español is recommended for the language as a whole.

Thus, what happens physically is that the energy level of the bottom of the conduction band of body " A " ( and, hence, the whole band structure of body " A ") moves up in energy, relative to the Fermi level of the Earth, as the temperature of body " A " increases.

Thus Sheri's Ranch and Chicken Ranch, both located in Pahrump, are on the whole more expensive than other brothels.