imaginary part in a sentence

Examples

1. Let ? be a complex number with strictly positive imaginary part.
2. Capacitive admittances have positive imaginary parts and inductive admittances have negative imaginary parts.
3. By taking linear combinations, the real and imaginary parts of are each solutions.
4. In fact if the imaginary part of is positive, then is invertible since
5. which has a pole in z = 0.5 ( zero imaginary part ).
6. The imaginary part is a sine wave with perpendicular polarisation to the cosine wave.
7. which I can't separate into the real and imaginary part.
8. are called the imaginary parts of the complex amplitude represented by \ widehat a.
9. In complex analysis, the hyperbolic functions arise as the imaginary parts of sine and cosine.
10. A complex number is called arithmetical if its real and imaginary parts are both arithmetical.