imaginary part of a complex number Synonyms
No Synonyms and anytonyms found
imaginary part of a complex number Meaning
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
- 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.
- In graphical representations of complex numbers on the complex plane, the imaginary part corresponds to the vertical axis.
- Calculating the imaginary part of a complex number involves isolating the coefficient of 'i' in its algebraic expression.
- The imaginary part of a complex number contributes to determining its magnitude and angle when represented in polar form.
- Complex conjugates have the same real part but opposite signs in their imaginary parts.
- The addition or subtraction of complex numbers involves separately handling their real and imaginary parts.
- 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.
