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Different ways of constructing homology could be shown to coincide: for example in the case of a simplicial complex the groups defined directly would be isomorphic to those of the singular theory.
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Different and ways
Different theories of the Circumpolar Current balance the momentum imparted by the winds in different ways.
Different cultures through history have depicted blindness in a variety of ways ; among the Greeks, for example, it was a punishment from the gods, for which the afflicted individual was often granted compensation in the form of artistic genius.
Different types of heaps implement the operations in different ways, but notably, insertion is often done by adding the new element at the end of the heap in the first available free space.
Different ways of contacting members of a sample once they have been selected is the subject of survey data collection.
Different degrees of emphasis on this method or theory lead to a range of rationalist standpoints, from the moderate position " that reason has precedence over other ways of acquiring knowledge " to the more extreme position that reason is " the unique path to knowledge ".
Different grading systems consider these factors in different ways, so no two grading systems have an exact one-to-one correspondence.
Different sources format the community's name in several different ways: besides the official De Graff, the name has been rendered De Graft, DeGraff, Degraff, and Degraft.
Different operating systems handle shared libraries in different ways, and some platforms do not use shared libraries at all.
Different sectors of infrastructure and society are affected in different ways and are vulnerable to a range of impacts or consequences.
Different and could
To be Katharine Ross, and work in a nicer shop somewhere, at a little more money so she could have prettier clothes, and learn ladies' manners and all like that, and get to know different people than up to now, not just the ones like her here, with foreign-sounding names, the ones went to the same church and -- Different place, different job, different people, she'd be all different too.
To his Harvard colleague, Josiah Royce, whose philosophic position differed radically from his own, James could write, `` Different as our minds are, yours has nourished mine, as no other social influence ever has, and in converse with you I have always felt that my life was being lived importantly ''.
Different magazines were published featuring programs for specific computers, though some BASIC programs were considered universal and could be used in machines running any variant of BASIC ( sometimes with minor adaptations ).
Different researchers have postulated that without the aid of modern computer graphics, early investigators were limited to what they could depict in manual drawings, so lacked the means to visualize the beauty and appreciate some of the implications of many of the patterns they had discovered ( the Julia set, for instance, could only be visualized through a few iterations as very simple drawings hardly resembling the image in Figure 3 ).
They advanced drastically in musical and lyrical sophistication: by the end they were quoting American writer William S. Burroughs (" A Different Kind of Tension "), declaiming their catechism in the anthem " I Believe ", and tuning in to a fantasy radio station on which their songs could be heard (" Radio Nine ").
Different Pawnee subtribes could make treaties with warring European powers without disrupting the underlying unity ; the Pawnee were masters at unity within diversity.
Different tones could be obtained from a single bowed string by pressing the fingernails of the player's left hand against various points along the string to fret the string.
Different branches, or stirpes of a gens were frequently distinguished by their cognomina, surnames following the nomen, which could be either personal or hereditary.
Different patriot guerrilla bands formed, but could not agree on a united leadership, much less a united strategy.
Different forensic scientists have presented different events that could have given Taylor his fatal wounds.
Different choirs or instrumental groupings occupied positions across the cathedral from each other: because of the sound delay from one side to the other in the large and acoustically " live " space, a perfect unison was difficult, and composers found that a fantastically effective music could be composed with the choirs singing across to each other, in stereo as it were ; all accompanied by organ or other groups of instruments placed in such a way that they could hear each group equally well.
Different denominations of stamps have been printed in different colors since the very beginning ; as with their successors, postal clerks could distinguish the Penny Black and Two pence blue more quickly by color than by reading the value, and the practice generally continues today.
Different variables that could be used to establish the efficiency frontier are: number of employees, service quality, environmental safety, and fuel consumption.
Different forms of action would result in different procedures, so that one's chance of success could depend critically on the form of action which was used.
Different seals could be used for different purposes: for example, Emperor Qianlong had a number of informal appreciation seals used on select paintings in his collection.
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