24/09/07 Notes: Difference between revisions

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*Using the correct coordinate system will often simplify your work. Be it cartesian, cylindrical, spherical, etc. For dealing with the Fourier series, complex numbers (or their sin/cosine variants) will help ease our load.
*Using the correct coordinate system will often simplify your work. Be it cartesian, cylindrical, spherical, etc. For dealing with the Fourier series, complex numbers (or their sin/cosine variants) will help ease our load.
*When dealing with numerous vectors, instead of using letters to designate the axis, numbers are easier to expand to a larger set of vectors. Numerating axis with numbers also simplifies work when doing summations.
*Dot/Inner products with complex vectors
*Dot/Inner products with complex vectors
**Have to take the complex conjugate of the 2nd number
**Have to take the complex conjugate of the 2nd number

Latest revision as of 15:59, 24 September 2007

  • Using the correct coordinate system will often simplify your work. Be it cartesian, cylindrical, spherical, etc. For dealing with the Fourier series, complex numbers (or their sin/cosine variants) will help ease our load.
  • When dealing with numerous vectors, instead of using letters to designate the axis, numbers are easier to expand to a larger set of vectors. Numerating axis with numbers also simplifies work when doing summations.
  • Dot/Inner products with complex vectors
    • Have to take the complex conjugate of the 2nd number