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Page "Group (mathematics)" ¶ 7
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Thus and adding
Thus, adding 3760 before Rosh Hashanah or 3761 after to a Julian or Gregorian year number after 1 CE will yield the Hebrew year.
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 two
Thus the lack of effective recognition of the responsibilities involved in caring for two babies showed signs of becoming a disabling problem.
Thus it is reasonable to believe that there is a significant difference between the two groups in their performance on this task after a brief `` structuring '' experience.
Thus one line in five from The Iliad and The Odyssey is to be found somewhere else in the two poems.
Thus, the combined efficiency of the elements replaced by the two fiber plates ( with a combined efficiency of 0.25 ) is 0.043 or about six times less than that of the two fiber plates.
Thus, according to the character Pausanias in Plato's Symposium, Aphrodite is two goddesses, one older while the other younger.
Thus, from the human body, the usual form assigned to the Deity, forasmuch as it is written that God created man in his own image, issue the two supporters, Nous and Logos, symbols of the inner sense and the quickening understanding, as typified by the serpents, for the same reason that had induced the old Greeks to assign this reptile for an attribute to Pallas.
Thus for example two separate quotes by Athenaeus were united by Theodor Bergk to form fr. 362.
Thus in the classical tradition of later Western art and literature, the mythology of the two figures becomes virtually indistinguishable.
Thus two indices are used for a two dimensional array, three for a three dimensional array, and n for an n dimensional array.
Thus they add two equivalents of bromine whereas an alkene adds only one equivalent.
Thus, ocular albinism occurs more frequently in males as they have a single X and Y chromosome, unlike females, whose genetics are characterized by two X chromosomes.
Thus, the broadcast domain is the entire inter-connected layer two network, and the segments connected to each switch / bridge port are each a collision domain.
Thus, the energy required to break any single pair is related to the energy required to break all of the pairs ( or more than just two electrons ).
Thus there were two classes of baccalarii: the baccalarii cursores, theological candidates passed for admission to the divinity course ; and the baccalarii dispositi, who, having completed this course, were entitled to proceed to the higher degrees.
Thus, a Blackwood query by the player holding two quick losers in a side suit is a wild gamble, as it is still possible that the suit is not controlled by an Ace or a King.
Thus, Blackwood will not tell you what you want to know: Are we at risk of losing the first two tricks?
Thus, if two species use the same codon at the same place to specify an amino acid that can be represented by more than one codon, that is evidence for a recent common ancestor.
Thus an understanding of how these two levels relate to each other is needed.
Thus, two versions distributed by rival syndicates graced the comics pages for decades.
Thus, a week of Beetle Bailey would arrive at the Lansing State Journal in two sheets, printed much larger than the final version and ready to be cut apart and fitted into the local comics page.
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, if ( M, d ) and ( N, d ) are two metric spaces, and, then there is a constant k such that
Thus, covalent bonding does not necessarily require the two atoms be of the same elements, only that they be of comparable electronegativity.

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