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Additional Data Types and Plot Types

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Conversion to polar coordinates: (z: magnitude, ?: angle) Venkata Gopal Edupuganti CS 101 003 ... with a' units along the real axis and b' units along the ... – PowerPoint PPT presentation

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Title: Additional Data Types and Plot Types


1
Additional Data Types and Plot Types
2
Complex data
  • Numbers with both a real and an imaginary
    component.
  • General form c a bi
  • c is a complex number a and b are
    real numbers i is
  • a is called the real part and b is
    called the imaginary part of the complex number
    c.
  • Conversion to polar coordinates (z magnitude,
    ? angle)

3
Plotting complex number
  • A complex number can be plotted as a point on the
    plane with the horizontal axis as the real axis
    and vertical axis as the imaginary axis.
    (rectangular coordinates)
  • abi can be represented as a single point with
    a units along the real axis and b units along
    the imaginary axis.

4
Complex variables, associated functions
  • gtgtc1 43i
  • c14.00003.0000i
  • Imaginary part can be specified by simply
    appending an i or j to the end of a number.

5
Plotting complex data
  • Plots t vs real part of y(t)

6
  • Plots t vs real part of y(t), t vs imaginary part
    of y(t)

7
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8
  • Plots real part of y(t) vs Imaginary part of y(t)

9
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10
Polar plot magnitude vs angle
11
Exercise
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