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Thus and adding
Thus, adding two integers never yields some other type of number, such as a fraction.
A person ’ s satisfaction is not part of any greater satisfaction .’ Thus the aggregation of utility becomes futile as both pain and happiness are intrinsic to and inseparable from the consciousness in which they are felt, rendering impossible the task of adding up the various pleasures of multiple individuals.
Thus, an object starting from rest will attain a velocity of 9. 81 m / s ( 32. 2 ft / s ) after one second, 19. 62 m / s ( 64. 4 ft / s ) after two seconds, and so on, adding 9. 81 m / s ( 32. 2 ft / s ) to each resulting velocity.
In the early Church the baptized were kissed by the celebrant after the ceremony, and its use was even extended as a salute to saints and religious heroes, with Crawley adding, " Thus Joseph kissed Jacob, and his disciples kissed Paul.
Thus chunks with odd lengths will be " padded " to an even byte boundary by adding a so-called " pad byte " after their regular end.
Thus the word originally, formed by adding the suffix-ly to original, does not turn the suffix-al into an infix.
In one direction, the Hamiltonian path problem for graph G is equivalent to the Hamiltonian cycle problem in a graph H obtained from G by adding a new vertex and connecting it to all vertices of G. Thus, finding a Hamiltonian path cannot be significantly slower ( in the worst case, as a function of the number of vertices ) than finding a Hamiltonian cycle.
Thus, Elgin became the beneficiary of two major rail lines with eight passenger trains daily, adding to Elgin's business as a shipping point for cotton, wool, and livestock.
Thus, a snorkel increases the person's dead space by adding even more " airway " that doesn't participate in gas exchange.
Thus, news anchors and reporters cannot host these shows, nor can hosts of these shows appear in newscasts as reporters ; for instance, in the case of the aforementioned AM Buffalo, host Linda Pellegrino was forced to resign her post as a weather anchor on WKBW when AM Buffalo began adding sponsored segments.
Thus, we have a 4-to-16 decoder produced by adding a 4th input shared among both decoders, producing 16 outputs.
Thus can be reconstructed an ' improved ' " edited " text, i. e., by distinguishing or removing Ibn Hisham's additions, and by adding from al-Tabari passages attributed to Ibn Ishaq.
Thus N = 2 implies doubling the exam length by adding items with the same properties as those in the current exam.
Thus a defensive building might be designed and built with battlements, or a manor house might be fortified by adding battlements, where no parapet previously existed, or cutting crenellations into its existing parapet wall.
Thus, the design made provisions for future expansion that would have allowed the seating capacity to grow to nearly 40, 000 by adding an upper deck above the existing mezzanine should a major-league team decide to relocate to Buffalo.
Thus he contends that not even God can change the Ten Commandments ( adding that God can change what individuals deserve in particular cases, in what might look like special dispensations to murder or steal ).
Thus, to understand addition, is simply to have been inculcated into a practice of adding.
Thus, when adding raked trees to a raked frame ( which sports a longer trail ), the trail is shortened to a more manageable level.
Thus, access via Cascade Pass has become extensively more difficult, adding as much as to the already strenuous trek.
Thus spelling mistakes could be corrected by adding or removing individual letters.
Thus, adding a bit plane gives a better approximation.
Thus we can transform any minor into any other minor by adding rows and columns, switching them, and multiplying a row or a column by − 1.
Thus, in contrast to contemporary Attic vase painting, the red colour was not achieved by leaving areas unpainted but by adding paint to the black prime layer.
Thus adding an internal standard such as ferrocene at some point during the experiment is always necessary.

Thus and before
Thus far, the cases which have come before the courts have involved only the issue of referral where the job is vacant due to a strike -- condition ( 1 ) in the Regulation of the Secretary.
Thus when Premier Khrushchev intimated even before inauguration that he hoped for an early meeting with the new President, Mr. Kennedy was confronted with a delicate problem.
Thus, while it remains possible that the Babylonians and/or the Pythagoreans may perhaps have had the magic square of three before the Chinese did, more definite evidence will have to turn up from the Middle East or the Classical World before China can lose her claim to the earliest known magic square by more than a thousand years.
Thus, before the modern assembly line took shape, there were prototypical forms in various industries, as outlined below.
Thus the possibility of re-incorporating Portugal ( up to then Southern Galicia ) into a Kingdom of Portugal and Galicia as before was eliminated and Afonso became sole ruler ( Duke of Portugal ) after demands for independence from the county's church and nobles.
According to the Christian doctrine of Universal Reconciliation, the Greek New Testament scriptures use the word " eon " to mean a long period ( perhaps 1000 years ) and the word " eonian " to mean " during a long period "; Thus there was a time before the eons, and the eonian period is finite.
Thus Jerome's Chronicon lists 36 kings of the Assyrians, beginning with Ninus, son of Belus, down to Sardanapalus, the last king of the Assyrians before the empire fell to Arbaces the Median.
Thus, it has a year 0, the years before that are designated with negative numbers and the years after that are designated with positive numbers.
Thus, the universe would have been even more special before the thermalization than after .” The problem of specific or “ fine-tuned ” initial conditions would not have been solved ; it would have gotten worse.
Thus perceptions must already come parcelled into distinct " bundles " before they can be associated according to the relations of similarity and causality: in other words, the mind must already possess a unity that cannot be generated, or constituted, by these relations alone.
Thus Bolesław the Brave might have received Kraków as his part of his father's legacy before the Dagome iudex had been written.
Thus, before the Aswan High Dam was completed in 1971, the White Nile watered the Egyptian stretch of the river throughout the year, whereas the Blue Nile, carrying seasonal rain from Ethiopia, caused the Nile to overflow its banks and deposit a layer of fertile mud over adjacent fields.
Thus Fermi saw the theory published in Italian and in German before it was published in English.
Thus, the eight items of the path are not to be understood as stages, in which each stage is completed before moving on to the next.
Thus, most security researchers set maximum times ( such as 14 days or 30 days ) before fully revealing a vulnerability to the public, since otherwise many vendors would never fix even critical vulnerabilities in their products.
Thus, on 2 December 1851, shortly before the end of his single three-year term in office was to expire, Louis Bonaparte staged a coup against the Second Republic in France, disbanded the elected Constituent Assembly, arrested some of the Republican leaders and declared himself Emperor Napoleon III of France.
Thus, ISDN can be seen from this perspective as obsolete before it fairly started, having been overtaken in most places by the disruptive technology of ADSL.
Thus we have in the first five centuries such epithets applied to her as " in every respect holy ", " in all things unstained ", " super-innocent " and " singularly holy "; she is compared to Eve before the fall, as ancestress of a redeemed people ; she is " the earth before it was accursed.
Thus modernism, which had been a minority taste before the war, came to define the 1920s.
Thus, no Nostradamus quatrain is known to have been interpreted as predicting a specific event before it occurred, other than in vague, general terms that could equally apply to any number of other events.
Thus less energy is needed in the smaller nuclei and the difference to the state before is set free.
Thus, a warning, issued in 1564, summoning Jeanne d ' Albret, the Queen of Navarre, before the Inquisition on a charge of Calvinism, was withdrawn by him in deference to the indignant protest of Charles IX of France.

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