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Thus and necessary
Thus, a court officer taking possession of goods under a court order may use force if reasonably necessary.
Thus, the collective behavior of the condensate is a crucial ingredient necessary for superconductivity.
" Thus declaring that the burnt offering of both animals and humans ( which may have been practiced in Judah under Kings Ahaz and Manasseh ) is not necessary for God.
Thus, a stationary frame can be identified, and it is not necessary to ask " Stationary with respect to what?
Thus it is necessary to introduce the rule that the Z-isomer has higher priority than the E-isomer.
Thus, a short path between the hot surface and the cold surface is necessary, typically by suspending a hot plate covered with a film of feed next to a cold plate with a line of sight in between.
Thus, a nearly complete separation of zirconium and hafnium is necessary for their use in nuclear power.
Thus, he said, it was necessary to find " a third way ".
Thus, " discrimination " against ( i. e., negative differential treatment of ) potential insureds in the risk evaluation and premium-setting process is a necessary by-product of the fundamentals of insurance underwriting.
Thus, reflection in a resonant cavity is usually required for a laser, but is not absolutely necessary.
Professional dance teachers in the US saw this approach to dancing as " extreme ", " undisciplined ", and thus, deemed it necessary to standardize the dance to present it as a sell-able commodity for the social or ballroom market Thus, compared to the mambo in Cuba, mambo had a different movement sequence in the United States and elsewhere, as it was popularized internationally.
Thus, not only the existence of the crime depends on there being a previous legal provision declaring it to be a penal offense ( nullum crimen sine praevia lege ), but also, for a specific penalty to be imposed in a certain case, it is also necessary that the penal legislation in force at the time when the crime was committed ranked the penalty to be imposed as one of the possible sanctions to that crime ( nulla poena sine praevia lege ).
Thus if we wish to claim that no-cloning is a uniquely quantum result, some care is necessary in stating the theorem.
" Thus, consideration of others ' interests has long been a necessary part of the human experience.
Thus, the neurochemical alterations which induce psychosis in otherwise healthy people are indicative that the root of the symptoms altered thalamocortical and hippocamalcortical transmission, and corresponding layer 5 / thalamus axis function, altering the crucial ordered cortiocortical layer 3 / 1 and 2 / 3 transmission necessary for rational language self-expression.
Thus, while dialectical methods are necessary to find truth in theoretical matters, rhetorical methods are required in practical matters such as adjudicating somebody's guilt or innocence when charged in a court of law, or adjudicating a prudent course of action to be taken in a deliberative assembly.
Thus, for a single transcription factor to initiate transcription, all of these other proteins must also be present, and the transcription factor must be in a state where it can bind to them if necessary.
Thus, the more explicit notation is usually not deemed necessary and very rarely used.
Thus, even with the multiple experiments dedicated to providing indirect evidence for the existence of cold dark matter, direct detection measurements are also necessary to solidify the theory of WIMPs.
Thus liver function tests to monitor liver enzymes are necessary when taking therapeutic doses of niacin, including alkaline phosphatase ( ALP ), aspartate transaminase ( AST ), and alanine transaminase ( ALT ).
Thus, she concluded, phonics instruction is a necessary component of reading instruction, but not sufficient by itself to teach children to read.
Thus, a non-mutant MECP2 gene is necessary for a Rett's-affected embryo to survive in most cases, and the embryo, male or female, must have another X chromosome.
Thus, to abduce from involves determining that is sufficient ( or nearly sufficient ), but not necessary, for.
Thus, 60 votes for cloture would be necessary regardless of whether every Senator voted.

Thus and sufficient
Thus, by the end of 1992, Azerbaijan received arms and military hardware sufficient for approximately four motor rifle divisions with prescribed army units.
Thus, after a bid of 3, bids of 2 or 3 are not sufficient, but 3 or 4 are.
Thus mail armour proved to be sufficient protection in most situations.
Thus, the attack on the Soviet Union ( which together with Germany had partitioned central Europe in 1939 – 1940 ) was not pressed with sufficient strength.
Thus, a unique trajectory in the thunderstorm is sufficient to explain the layer-like structure of the hailstone.
Thus, these cells cannot survive for long ' as they cannot exchange sufficient material to maintain active metabolism.
Thus it requires sufficient duration of transmission time for calls to connect or link with another station that is unsynchronised with its calling signal.
Thus shot noise is more frequently observed with small currents or light intensities following sufficient amplification.
Thus over months-to-years, the net ( integrated ) amount of force is substantial, and is thought to be sufficient to speed interplanetary probes to velocities that could traverse the Earth-Pluto distance in 1 / 2 to 1 / 4 the time of a chemically accelerated vessel.
Thus the full dictionary does not need be sent with the encoded data ; just the initial dictionary containing the single-character strings is sufficient ( and is typically defined beforehand within the encoder and decoder rather than being explicitly sent with the encoded data.
Thus, for the human wave attack to succeed on the modern battlefield, it is imperative for the attackers to charge into the enemy line in the shortest time and in the greatest numbers possible, so that a sufficient mass can be preserved when the attackers reach melee range.
Thus, “ firewalls ” sufficient to prevent a bank from assisting its affiliate would eliminate the purpose of the combination, but “ workable ” firewalls would be insufficient to prevent such assistance.
Thus the Riksdag held the purse ; and this seemed a sufficient guarantee both of its independence and its frequent convention.
Thus in classical analysis, which uses classical logic, in order to prove the full IVT, it is sufficient to prove the constructive version.
Thus, although the typical set is loosely defined, practical notions arise concerning sufficient typicality.
Thus a screening exam is not intended to be definitive: It is intended to have sufficient sensitivity to detect a useful proportion of cancers.
Thus formalistic logic would tend to work well with the Aristotelian logic of definition by closed sets of necessary and sufficient conditions, yet is deficient when applied to areas where definition by " family resemblance " ( Wittgenstein ) is more suitable.
Thus, the commander is a double-edged sword, being able to build units and structures quickly, but at rates that quickly become unsustainable in the early game without sufficient reserves.
Thus, for exponential families, there exists a sufficient statistic whose dimension equals the number of parameters to be estimated.
Thus, whereas people may have sufficient funds to participate in some markets, their funds are inadequate to participate in other markets.
Thus, an explosive booster is used to deliver sufficient shockwave to the main charge.

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