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Page 1: Harvard Mathematics Department : Home pagepeople.math.harvard.edu/~bullery/math101/Exam3solutions.pdfMath 101 / Final (December 4—5, 2017) page 3 2. [8 points] Consider X = R x [0,

Page 2: Harvard Mathematics Department : Home pagepeople.math.harvard.edu/~bullery/math101/Exam3solutions.pdfMath 101 / Final (December 4—5, 2017) page 3 2. [8 points] Consider X = R x [0,

Page 3: Harvard Mathematics Department : Home pagepeople.math.harvard.edu/~bullery/math101/Exam3solutions.pdfMath 101 / Final (December 4—5, 2017) page 3 2. [8 points] Consider X = R x [0,

Page 4: Harvard Mathematics Department : Home pagepeople.math.harvard.edu/~bullery/math101/Exam3solutions.pdfMath 101 / Final (December 4—5, 2017) page 3 2. [8 points] Consider X = R x [0,

Page 5: Harvard Mathematics Department : Home pagepeople.math.harvard.edu/~bullery/math101/Exam3solutions.pdfMath 101 / Final (December 4—5, 2017) page 3 2. [8 points] Consider X = R x [0,

arbitrary EX - people.math.harvard.edupeople.math.harvard.edu/~bullery/math137/Section 6_ Algebra detour.pdf · Check mm 1 Module and ring finiteness are both transitive integralityistrickier

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Northern Illinois Universitymath.niu.edu/courses/math101/exams/math101_final_exam_sp10.pdf · Created Date: 5/11/2011 4:21:53 PM

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Contentsmcs.une.edu.au/~math101/Lectures/Additional Notes... · Lecture 3.1 Simultaneous Equations 3 We are done, we read oﬀ the answer from the right-most column; x = 1,y = −1,z

Z A Little History 1/d Z Billiards and curves in modulipeople.math.harvard.edu/~ctm/home/text/class/math101/...Teichmüller curves SL 2(R) orbit of (X,ω) in ΩMg projects to a complex

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ApplicationsofITCSIt - Harvard Universitypeople.math.harvard.edu/~bullery/math131/Section 17... · 2018. 11. 28. · Pwof2of_BFPT Suppose f B BZ has no fixed point Then we can define

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