Thus the necessary and sufficient conditions for the truth of a proposition of law simply involved internal logic and consistency, and that the state's agents used state power with responsibility.

Thus, in order to show that any axiomatic system of mathematics is in fact consistent, one needs to first assume the consistency of a system of mathematics that is in a sense stronger than the system to be proven consistent.

Thus another distinguishing feature of honing theory is that the creative process reflects the natural tendency of a worldview to attempt to resolve dissonance and seek internal consistency amongst its components, whether they be ideas, attitudes, or bits of knowledge ; it mends itself as does a body when it has been injured.

Thus shot to shot consistency is maintained for longer than in an unregulated rifle, at the expense of efficiency, shots per fill and often at a lower velocity.

Thus the only thing we don't have is a formal proof of consistency of whatever version of set theory we may prefer, such as ZF.

Thus, the consistency of ZFC implies consistency of ZFC +" there are no strong inaccessibles ".

Thus the regency scheme, which Halifax had supported while Charles still reigned, was opposed by him with perfect consistency at the revolution.

Thus, eventual consistency means that for a given accepted update and a given replica, eventually, either the update reaches the replica, or the replica retires from service.

Thus it would be much better if the gearing were on the base so that the wheel could be pushed with the foot, but tradition ( consistency from board to board ) dictates maintaining a " backwards " convention.

" Thus, for consistency it makes sense that section 28 applies to section 25, since a sex equality interpretation explicitly applies to section 35.

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 such a gain medium must have a gain bandwidth sufficiently broad to amplify those frequencies.

Thus, the Eighth Amendment has been interpreted to mean that bail may be denied if the charges are sufficiently serious.

Thus the heater did not function as an electrode, but simply served to heat the cathode sufficiently for it to emit electrons by thermionic emission.

where D denotes the continuum derivative operator, mapping f to its derivative f. The expansion is valid when both sides act on analytic functions, for sufficiently small h. Thus, T < sub > h </ sub >= e < sup > D </ sup >, and formally inverting the exponential yields

Thus there is disagreement among botanists as to whether the genera Chionodoxa and Scilla are sufficiently different to be kept separate.

Thus, Euthyphro is brought to a realization by this dialectical method that his definition of piety is not sufficiently meaningful.

Thus the key technique here — which characterises a program as a chatbot rather than as a serious natural language processing system — is the production of responses that are sufficiently vague and non-specific that they can be understood as " intelligent " in a wide range of conversational contexts.

Thus, one must be sufficiently knowledgeable of the wants and needs of others to properly conduct business.

Thus, the court found that the statute is not sufficiently ambiguous to raise constitutional concerns.

Thus, for example, many library implementations of quicksort will switch to a simple loop-based insertion sort ( or similar ) algorithm once the number of items to be sorted is sufficiently small.

Thus, for example, in many states, the blood alcohol level for the commission of the offence of driving under the influence is set sufficiently low that people might exceed the limit without realising that they had consumed enough alcohol to do so.

Thus, fog and mist ( except when the terms are used to mean " drizzle ") are not precipitation but suspensions, because the water vapour does not condense sufficiently to precipitate.

Thus, even when the exact representation is known, an approximation may yield a sufficiently accurate solution while reducing the complexity of the problem significantly.

Thus it is possible to have shockless compression or expansion in a supersonic flow by having the production of Mach waves sufficiently spaced ( cf.

Thus, argued: "... in sufficiently broad contexts such analytic descriptions cease to be adequate ... ' the law of the whole ' will generally include the possibility of describing the ' loosening ' of aspects from each other, so that they will be relatively autonomous in limited contexts ... however, any form of relative autonomy ( and heteronomy ) is ultimately limited by holonomy, so that in a broad enough context such forms are seen to be merely aspects, relevated in the holomovement, rather than disjoint and separately existent things in interaction ".

Thus, when Congress passed the Judiciary Act of 1869, creating a new seat on the U. S. Supreme Court, he was sufficiently well known by associates of President Grant to be recommended as a Supreme Court nominee.

Thus any sufficiently good ( measurable ) subset of can be characterized by its hyperarea ( measure ) with respect to.

Thus, John asked Mary to wash him obeys Condition B: John is the antecedent of him, and him is sufficiently far away ; on the other hand, * John washed him, where John is intended to be the antecedent of him, is unacceptable.

Thus, analysis of the 993-locus dataset corroborates our earlier results: if enough markers are used with a sufficiently large worldwide sample, individuals can be partitioned into genetic clusters that match major geographic subdivisions of the globe, with some individuals from intermediate geographic locations having mixed membership in the clusters that correspond to neighboring regions.

344c: (" Thus, Socrates, injustice on a sufficiently large scale is a stronger, freer, and a more masterful thing than justice, and, as I said in the beginning, it is the advantage of the stronger that is the just, while the unjust is what profits man's self and is for his advantage.

Thus, under the Univis test, the Intel products sufficiently embodied the method patents, making the exhaustion doctrine applicable.

Thus we enter 1961 in a strong financial position.

Thus in it's incredible what that boy can eat dominant stress is likely to be on incredible, and eat will have strong stress also.

Thus in his friends are stranger than his sisters' strong stresses are normal for his and sisters', but in his friends are stranger than his sisters strong stresses are normal for friends and sisters.

Thus in Mary wrote an account of the trip first strong stress on Mary marks Mary as the first in a series of people who wrote accounts of the trip, strong stress on wrote marks the writing as the first of a series of actions of Mary's concerned with an account of her trip ( about which she may later have made speeches, for example ), and strong stress on trip makes the trip the first of a series of subjects about which Mary wrote accounts.

Thus he divides perceptions between strong and lively " impressions " or direct sensations and fainter " ideas ", which are copied from impressions.

Thus, a central conclusion of Keynesian economics is that, in some situations, no strong automatic mechanism moves output and employment towards full employment levels.

Thus, during the 1960s and early 1970s, Portuguese development plans promoting strong economic growth and effective socioeconomic policies, like those applied by the Portuguese in the other two theaters of war ( Portuguese Angola and Portuguese Mozambique ), were not possible.

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, his historian style has been imitated all through the ages, and had a strong impact in Edward Gibbon and Montesquieu.

Thus their definition of " liberal " includes the RAND Corporation, a nonprofit research organization with strong ties to the Defense Department.

This wilful destruction of values and the overcoming of the condition of nihilism by the constructing of new meaning, this active nihilism, could be related to what Nietzsche elsewhere calls a ' free spirit ' or the Übermensch from Thus Spoke Zarathustra and the Antichrist, the model of the strong individual who posits his own values and lives his life as if it were his own work of art.

Thus, in theory, weaker students are given work within their grasp and exceptionally strong students are extended.

Thus, if it seemed likely that a strong, poor man were guilty of robbing a rich, weak man, the strong poor man could argue, on the contrary, that this very likelihood ( that he would be a suspect ) makes it unlikely that he committed the crime, since he would most likely be apprehended for the crime.

Thus the people of the Scandinavian Peninsula had a strong influence in international affairs during the 20th century.

Thus in strong alkali at high pH, it forms the dually charged full urate ion, but at biological pH or in the presence of carbonic acid or carbonate ions, it forms the singly charged hydrogen or acid urate ion as its pKa < sub > 1 </ sub > is lower than the pKa < sub > 1 </ sub > of carbonic acid.

Thus during his lifetime, Shoghi Effendi prepared for the election of the Universal House of Justice, by establishing a strong administrative structure at the local and national levels.

Thus, on the death of Geoffrey the Handsome ( 7 September 1151 ), his son Henry found himself heir to a great empire, strong and consolidated, to which his marriage with Eleanor of Aquitaine ( May 1152 ) further added Aquitaine.

Thus, most fortified wines are regarded as distinct from dessert wines, but some of the less strong fortified white wines, such as Pedro Ximénez sherry and Muscat de Beaumes-de-Venise, are regarded as honorary dessert wines.

Thus, the basis of morality is strong moral character, which requires self-reliance and self-discipline.

Thus, treatment of concentrated solutions of ammonium salts with strong base gives ammonia.

Thus, Brutus and Cassius could seize a strong defensive position holding the high ground along both sides of the via Egnatia, about 3. 5 km west of the city of Philippi.