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25558 results in The Mathematical Gazette

Page 8 of 1278

  • 107.36 Similarities and circle-preserving bijections of the plane

  • A. F. Beardon
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. 508-511
    Print publication:
    November 2023
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  • Sums of roots

  • Peter Braza
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. 399-404
    Print publication:
    November 2023
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  • We are all familiar with the formulae for finding the sums of the powers of the first n natural numbers. For example,

  • 107.30 Remark on Cauchy–Schwarz inequality

  • Reza Farhadian
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. 493-495
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    November 2023
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  • 107.37 PWW: trisecting a line across an angle does not trisect the angle

  • Jessica E. Banks
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, p. 512
    Print publication:
    November 2023
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  • What’s the use? by Ian Stewart , pp 336, £20 (hard), ISBN 978-1-54169-949-6, Basic Books (2021)

  • John Baylis
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. 571-573
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    November 2023
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  • 107.41 Langley’s Problem: 100 years on

  • Reinfried Bardelang, Bernard Murphy
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. 523-526
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    November 2023
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  • Problem Corner

  • N.J. L
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. 550-555
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    November 2023
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  • 107.45 A surprising property of a tennis-like game

  • Leonard M. Wapner
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. 533-537
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    November 2023
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  • Less is More: Improving by Removing: (The 2023 Presidential Address)

  • Colin Foster
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. 385-398
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    November 2023
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  • The pressures currently on teachers of mathematics at every level seem greater than ever, whether that is university mathematics lecturers, school teachers or those who work with very young learners. So, I began my Presidential Address with the hope that no one would leave the Joint Conference of Mathematics Subject Associations 2023 feeling as though they were not good enough and must do more. I did not want anyone to go home with a lengthy to-do guilt list of additional things they must try to incorporate into their practice. Instead, I advocated giving attention to the ancient proverb “less is more”, versions of which are found within many cultures; e.g., “brevity is the soul of wit” (Hamlet), “Sometimes diminishing a thing adds to it; Sometimes adding to a thing diminishes it” (Tao Te Ching). I offered five aspects of mathematics teaching and learning that might benefit from ‘less of’ something, in each case trying to see how this might create space for more of something else. In this article, I present these five suggestions for improving by removing.

  • Acknowledgements

  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, p. 575
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    November 2023
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  • 107.35 Two definite integrals that are (not surprisingly) equal

  • Ulrich Abel
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. 503-508
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    November 2023
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  • 107.44 On converses of circle theorems

  • John R. Silvester
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. 530-532
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    November 2023
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  • 107.32 A new inductive proof of the AM - GM inequality

  • Romeo Meštrović
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. 497-499
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    November 2023
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  • MAG volume 107 issue 570 Cover and Back matter

  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 570 / November 2023
    Published online by Cambridge University Press:
    11 October 2023, pp. b1-b3
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    November 2023
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  • Groups, conics and recurrence relations

  • A. F. Beardon
  • Journal:
    The Mathematical Gazette / Volume 107 / Issue 569 / July 2023
    Published online by Cambridge University Press:
    03 July 2023, pp. 193-203
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    July 2023
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  • In this paper we explore some of the geometry that lies behind the real linear, second order, constant coefficient, recurrence relation(1)where a and b are real numbers. Readers will be familiar with the standard method of solving this relation, and, to avoid trivial cases, we shall assume that ab ≠ 0. The auxiliary equation of t2 = at + b of (1) has two (possibly complex) solutionsand the most general solution of (1) is given by

    1. (i) when are real and distinct;

    2. (ii) when

    3. (iii)

    .

Page 8 of 1278