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 Steiner's view, we can overcome the subject-object divide through inner activity, even though all human experience begins by being conditioned by it.

Thus the view from Whitehall early in 1916: If defeat was not imminent, neither was victory ; and the outcome of the war of attrition on the Western Front could not be predicted.

Thus the " correct " way to view Figure 8 is to imagine the x-axis as pointing towards the observer and thus seeing a concave corner.

Thus the logical view refers to the way the user views the data, and the physical view refers to the way the data are physically stored and processed.

Thus, the law of " interpenetrating opposites " records the inextricable interdependence of components: the " transformation of quantity to quality " defends a systems-based view of change that translates incremental inputs into alterations of state ; and the " negation of negation " describes the direction given to history because complex systems cannot revert exactly to previous states.

Thus, the word " haibun ", though counted as two syllables in English, is counted as four on in Japanese ( ha-i-bu-n ); and the word " on " itself, which English-speakers would view as a single syllable, comprises two on: the short vowel o and the moraic nasal

Thus it is not out of view of the immune system One of these pieces, a protein called

Thus to kiss an icon of Christ, in the Eastern Orthodox view, is to show love towards Christ Jesus himself, not mere wood and paint making up the physical substance of the icon.

Thus, the ship Cirne of the captain Diogo Fernandes Pereira, came into view of Réunion island on 9 February 1507.

Thus, Nathanael ’ s question, “ Can anything good come out of Nazareth ?” is consistent with a negative view of Nazareth in the canonical gospels, and with the Johannine proclamation that even his brothers did not believe in him.

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

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.

Jeff Snyder is a spokesman for the view that gun possession is a civil right, and that therefore arguments about whether gun restrictions reduce or increase violent crime are beside the point: " I am not here engaged in ... recommending ... policy prescriptions on the basis of the promised or probable results crime ... Thus these essays are not fundamentally about guns at all.

Thus grammars that employ phrase structure rules are constituency grammars (= phrase structure grammars ), as opposed to dependency grammars, which view sentence structure as dependency-based.

Thus, some view Catiline as a reformer such as the Gracchi who met similar resistance from the government.

Thus the term " syāt " should be prefixed before each proposition giving it a conditional point of view and thus removing any dogmatism in the statement.

Thus from a certain point of view, regularity is not really the issue here, and we could impose a weaker condition instead to get the same result.

Thus, from a decision theory point of view, the distinction between " optimizing " and " satisficing " is essentially a stylistic issue ( that can nevertheless be very important in certain applications ) rather than a substantive issue.

Thus, a view could in effect be a new relational operator defined in terms of the existing operators.

Thus knowledge of Tages comes mainly from what is said about him by the classical authors, which is a legendary and quasi-mythical view ; Lydus suggests that Tages is only a parable.

Thus, Ọdịnala in this view is for every world but originated from Igboland.

Thus, by the absolutist view, only combatants can be attacked.

Thus, a neutral point of view requires testing measures consensual to anyone expected to believe the results.

Thus its view is called conditional predestination, since the predetermination of the destiny of individuals is based on God's foreknowledge of the way in which they will either freely reject Christ or freely accept him.