Thus Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.

Thus, in the immemorial way -- in the way of the right hand that knows and the left that does not -- was the stage set for tragedy at Bari.

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, 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, the Big Bang theory cannot and does not provide any explanation for such an initial condition ; rather, it describes and explains the general evolution of the universe going forward from that point on.

Thus, while the book exhibits considerable unity and probably reflects much of the historic Ezekiel, it is the product of a long and complex history and does not necessarily preserve the very words of the prophet.

Thus, the Buddha's silence does not indicate misology or disdain for philosophy.

Thus, one nucleus offers a more tightly bound position to an electron than does another nucleus, with the result that one atom may transfer an electron to the other.

Thus, covalent bonding does not necessarily require the two atoms be of the same elements, only that they be of comparable electronegativity.

Thus, though often de facto the case, Conservative Judaism's halakhic system does not inherently see Orthodox halakhic practice as acceptable and legitimate halakhic practice for a Conservative Jew.

Thus query optimization typically tries to approximate the optimum by comparing several common-sense alternatives to provide in a reasonable time a " good enough " plan which typically does not deviate much from the best possible result.

Thus, according to Lutz, doublespeak is a form of language that defeats the purpose of inventing language because doublespeak does not communicate the truth but seeks to do the opposite and the doublespeak committee is tasked with correcting this problem that doublespeak has created in the world of language.

Thus query optimization typically tries to approximate the optimum by comparing several common-sense alternatives to provide in a reasonable time a " good enough " plan which typically does not deviate much from the best possible result.

Thus, interlaced video captures samples the scene motion twice as often as progressive video does, for the same number of frames per second.

Thus, at UV frequencies and higher ( and probably somewhat also in the visible range ), electromagnetic radiation does far more damage to biological systems than simple heating predicts.

Thus, according to Hegel, a great man does not create historical reality himself but only uncovers the inevitable future.

Thus, Annie's strong drive to take revenge on women scholars in general and on Miss de Vine in particular is perfectly comprehensible, and in fact does not in itself prove her to be mentally deranged.

Thus the group of left and right handed 4x4 quaternion matrcies is Sp ( 8 ) xSU ( 2 ) which does include the standard model bosons:

Thus, " DD " does not stand for anything more than " Destroyer ".

Thus it does not stick to the neck and scalp when wet.

Thus he does not scruple to declare that Socrates and Heraclitus were Christians ( Apol., i. 46, ii.

Thus, union density provides a rough picture of union membership only ; it does not account for the circumstance that in some countries, also many persons under education, many unemployed persons, many retired persons and / or many persons who had to leave work due to occupational injuries may also be union members.

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, Merleau-Ponty does not postulate that " all consciousness is consciousness of something ", which supposes at the outset a noetic-noematic ground.

Thus, in Wilson v. U. S. ( 1911 ), he asserted that corporate officers could not resist a subpoena for company records by invoking the Fifth Amendment's privilege against self-incrimination.

Thus, sharia has no native tradition of corporate law.

Thus, the party's platforms and rhetoric critique any corporate influence and control over government, media, and American society at large.

Thus a retail chain, for instance, may use Frame Relay for connecting rural stores into their corporate WAN.

Thus the two justices would have adjudicated the case and upheld the lower court opinion striking down the ban on corporate and union spending.

He claimed that on top of individual exploitation, the capitalist also unjustly appropriates the additional value ( termed “ collective force ”) produced by co-operative activity as a “ force of one thousand men working twenty days has been paid the same wages that one would be paid for working fifty-five years ; but this force of one thousand has done in twenty days what a single man could not have accomplished, though he had laboured for a million centuries .” Thus the capitalist may have “ paid all the individual forces ” but “ the collective force still remains to be paid ” and which the capitalists “ enjoy unjustly .” Other notable anti-capitalist thinkers claim that the elite maintain wage slavery and a divided working class through their influence over the media and entertainment industry, educational institutions, unjust laws, nationalist and corporate propaganda, pressures and incentives to internalize values serviceable to the power structure, state violence, fear of unemployment and a historical legacy of exploitation and profit accumulation / transfer under prior systems, which shaped the development of economic theory:

Thus, the definition of IBM's " corporate mission " in the 1940s might well have been: " We are in the business of handling accounting information need for the larger US organizations group by means of punched cards.

Thus, discrimination lawsuits can invite negative stakeholder reaction, damage the company's reputation, and threaten corporate survival.

Thus far, such as litigation or proposed accounting reforms such as full cost accounting have not gained much traction for the product stewardship concept in the United States beyond the realm of academe and corporate public relations ( derisively referred to as greenwashing ).

Thus, the media become reluctant to run articles that will harm corporate interests that provide them with the resources that the media depend upon.

Thus shareholders may not be able to hide behind the corporate veil to escape their obligations for the health and safety of the workforce.

Thus, participation in corporate worship, especially the Eucharist, is an essential part of Christian mysticism.

Thus, the Government contends that the tax " is levied on income derived from corporate earnings ," when in truth the stockholder has " derived " nothing except paper certificates which, so far as they have any effect, deny him " her " — in this case, Mrs. Macomber present participation in such earnings.

Thus, globally a third food regime is becoming more apparent which allows a rise of ‘ Alternative Food Networks ’ which gives a new dimension to consumers demand and corporate competition.

Thus, a real tension is exposed between the paradigm of criminal culpability based on individual responsibility and the increasing recognition of the potential for harm inherent in large scale corporate activity.

* " Thus, a group's solidarity is a function of two independent factors: first, the extensiveness of its corporate obligations, and, second, the degree to which individual members actually comply with these obligations.

Thus, ultimately, philosophically, culturally and legally under Japanese corporate law, the companies agreed to merge on an equal basis.

Thus, income is taxed at the shareholder level and not at the corporate level.

Thus the railroad's name was changed from the Pawnee Railroad to the Chicago and Illinois Midland Railway Company, drawing its name not from its terminal points ( the C & IM never went to Chicago ), but from its corporate parents: Chicago Edison and Illinois Midland Coal Company.

Thus what were once espoused by the great philosophers of the likes of Swami Vivekananda are once again being exhorted by the modern day corporate world.

Thus, Maldives Airports Company Ltd. ( MACL ) was formed on 1 January 1994 and is the financially and administratively independent corporate entity that manages the airport.