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2 results

  • 7 - Numbers

  • from Unit II - Parts of speech
  • Yongping Zhu, University of Notre Dame, Indiana, Chu-Ren Huang, Hong Kong Polytechnic University
  • Book:
    A Student Grammar of Chinese
    Published online:
    27 April 2023
    Print publication:
    11 May 2023, pp 65-79

  • Summary

    This chapter focuses on how numbers are represented according to the grammar of Chinese. The rules governing the usage of basic, ordinal, and multiple numbers are introduced as well as their application in decimals, fractions, and approximations. Several special usages involving different forms of the same numeral are explained.

  • 1 - Harmonic Oscillator

  • Joel Franklin, Reed College, Oregon
  • Book:
    Mathematical Methods for Oscillations and Waves
    Published online:
    02 April 2020
    Print publication:
    05 March 2020, pp 1-30

  • Summary

    A review of the problem of motion for masses attached to springs.That's the physics of the chapter, a familiar problem from high school and introductory college classes, meant to orient and refresh the reader.The mathematical lesson is about series solutions (the method of Frobenius) for ordinary differential equations (ODEs), and the definition of trigonometric special functions in terms of the ODEs that they solve.This is the chapter that reviews complex numbers and the basic properties of ODEs and their solutions (superposition, continuity, separation of variables).