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Thus and covalent
Thus, covalent bonding involves sharing of electrons in which the positively charged nuclei of two or more atoms simultaneously attract the negatively charged electrons that are being shared between them.
Thus, an ionic bond is considered a bond where the ionic character is greater than the covalent character.
Thus, an ionic bond is considered a bond where the ionic character is greater than the covalent character.
Thus, metallic bonding is an extremely delocalized communal form of covalent bonding.
Thus, we should amend the expression given above into: Metallic bonding is an extremely delocalized communal form of electron deficient covalent bonding.
Thus the dopant atom can accept an electron from a neighboring atom's covalent bond to complete the fourth bond.

Thus and bonding
Thus, the transition from localized unpaired electrons to itinerant ones partaking in metallic bonding became more comprehensible.
Thus important information is obtained on the chemical bonding in the material.
Thus, these materials do not have free conduction electrons, and the bonding electrons reflect only a small fraction of the incident wave.
Thus, the number of lone electrons plus the number of bonding electrons equal the total number of valence electrons in a compound.
Thus, this bonding or coming together and consequent formation of the " Church of God By Faith, Inc ." was to serve as a basis whereby " believers " could be encouraged, educated in the word of God, strengthen, sustained, spiritually grow, and be unified in an environment where the Spirit of Christ is truly active. The name itself, ( Church of God ), gives glory to the Lord, which is due unto His name.
Thus, overall, bonding is far more delocalized in MO theory, than is implied in valence bond ( VB ) theory.

Thus and does
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, 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 and necessarily
Thus, the most productive areas are not necessarily the most stressed.
Thus, on this line of reasoning, the legal validity of a norm necessarily entails its moral justice.
Thus, the goal of a conditional proof is to demonstrate that if the CPA were true, then the desired conclusion necessarily follows.
Thus, when either field is changing in time, then a field of the other is necessarily induced.
Thus many admirers ( though not necessarily Brahms himself ) saw him as the champion of traditional forms and " pure music ", as opposed to the " New German " embrace of programme music.
Thus, the interpretation is necessarily dynamic and the meaning of sentences is viewed as context change potentials instead of propositions.
Thus practical reform to the government is necessarily slow.
Thus for example atomic processes that are observed as rates, will necessarily be adjusted in a way consistent with relativity, while those involving the measurement of energy and momentum, which themselves form a relativistic vector, will undergo parallel adjustment which preserves the relativistic covariance of the observed values.
Thus, it was not necessarily gun possession that caused an increased risk of assault ; rather, a pre-existing higher risk of assault increased the likelihood of victim gun possession.
Thus all knowledge, all science, necessarily involves the formation of general concepts and the invocation of their corresponding symbols in language ( cf.
Thus the principality ruled politically by a prince-bishop could wholly or largely overlap with his diocesan jurisdiction, but not necessarily ; several lost their actual see ( the city itself ), which could obtain the status of free imperial city.
Thus Koons concludes that the problem of theodicy ( explaining how God can be good despite the apparent contradiction presented in the problem of evil ) does not pose a challenge to all possible forms of theism ( i. e., that the problem of evil does not present a contradiction to someone who would believe that God exists but that he is not necessarily good ).
Thus, brisance is a measure of the overall shattering ability of an explosive and is not necessarily correlated with the explosive's total work capacity.
Thus, if given an eternity in which to do so, it will, necessarily, exercise that potential.
Thus, differing programming paradigms can be thought of as more like ' motivational memes ' of their advocates-rather than necessarily representing progress from one level to the next.
Thus a right-sided sixth nerve palsy does not necessarily imply a right-sided cause.
Thus, the following are " goals ", not necessarily existing features, of Matroska:
Thus, " dip pens " are not necessarily dipped.
Thus every cartographic projection necessarily distorts at least some distances.
Thus, it does not necessarily imply a similar group of characteristics.
Thus, in this type of case, the legal question is not whether neutrality negates hostility, but rather whether an individual who detains Americans and mistreats them becomes hostile at a level below the entire state in question, and whether this alone qualifies as captivity by hostile foreign armed forces if the parent government ( if one exists ) is not necessarily hostile.
Thus they are not necessarily connected with the henge's original function.
Thus such sets of points impose one fewer condition on cubics containing them than expected, and accordingly satisfy an additional constraint, namely the Cayley – Bacharach theorem that any cubic that contains eight of the points necessarily contains the ninth.

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