imaginary part of a complex number Synonyms

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imaginary part of a complex number Meaning

Wordnet

imaginary part of a complex number (n)

the part of a complex number that has the square root of -1 as a factor

imaginary part of a complex number Sentence Examples

  1. In the realm of complex numbers, the imaginary part of a complex number is represented by the coefficient of the imaginary unit, denoted by 'i'.
  2. When expressing a complex number in the form a + bi, 'bi' represents the imaginary part, where 'b' is the coefficient.
  3. The imaginary part of a complex number often deals with the portion of the number that involves the square root of -1, facilitating the representation of quantities beyond the real number line.
  4. Understanding the imaginary part of a complex number is crucial in various fields such as electrical engineering, quantum mechanics, and signal processing.
  5. In graphical representations of complex numbers on the complex plane, the imaginary part corresponds to the vertical axis.
  6. Calculating the imaginary part of a complex number involves isolating the coefficient of 'i' in its algebraic expression.
  7. The imaginary part of a complex number contributes to determining its magnitude and angle when represented in polar form.
  8. Complex conjugates have the same real part but opposite signs in their imaginary parts.
  9. The addition or subtraction of complex numbers involves separately handling their real and imaginary parts.
  10. The imaginary part of a complex number plays a crucial role in solving differential equations involving complex functions.

FAQs About the word imaginary part of a complex number

the part of a complex number that has the square root of -1 as a factor

No synonyms found.

No antonyms found.

In the realm of complex numbers, the imaginary part of a complex number is represented by the coefficient of the imaginary unit, denoted by 'i'.

When expressing a complex number in the form a + bi, 'bi' represents the imaginary part, where 'b' is the coefficient.

The imaginary part of a complex number often deals with the portion of the number that involves the square root of -1, facilitating the representation of quantities beyond the real number line.

Understanding the imaginary part of a complex number is crucial in various fields such as electrical engineering, quantum mechanics, and signal processing.