Федеральное агентство по образованию
Омский государственный университет им. <...> Он состоит
из 6 текстов (ко второй и третьей теме даны дополнительные тексты), являющихся примерными разговорными темами, включенными в экзамен. <...> Практикум предназначен для более эффективной подготовки студентов к экзамену по английскому языку.
3
PART I
Text 1
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About a Line and a Triangle
Given ∆ ABC, extend the side AB beyond the vertices. <...> Now, rotate the line AB around the vertex A until it falls on the side AC. <...> Next
rotate it (from its new position) around C until it falls on the side BC. <...> It is virtually obvious that although the line now occupies exactly the same position as before, something has changed. <...> After three
rotations, the line turned around 180°. <...> It appears that the line occupies the same position but not quite:
points on the line did not preserve their locations. <...> However, since there
are just two possible orientations of the line, we come up with an interesting question: what happens to the line after it turns around the triangle twice? <...> After the first rotation the line occupies the same position but with a
different orientation. <...> If, after the rotation, the point originally at the
distance x from O will be now located at the position b-x. <...> The rotation of the line around the triangle
is simply equivalent to the rotation of the line around that point through
180°.
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Text 2
Text 3
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Computer Algebra
Computer Software in Science and Mathematics
Symbols as well as numbers can be manipulated by a computer. <...> New, general-purpose algorithms can undertake a wide variety of routine
mathematical work and solve intractable problems by Richard Pavelle,
Michael Rothstein and John Fitch
Computation offers a new means of describing and investigating scientific
and mathematical systems. <...> Simulation by computer may be the only way
to predict how certain complicated systems evolve <...>