Complex Quantity (Noun)
Meaning
(mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1.
Classification
Nouns denoting quantities and units of measure.
Examples
- The complex_quantity 3 + 4i has a magnitude of 5 and an argument of approximately 53 degrees.
- To multiply two complex_quantities, the real and imaginary parts must be multiplied separately and then combined.
- When a complex_quantity is raised to a power, the result can be found using De Moivre's theorem.
- The absolute value of a complex_quantity is defined as the distance from the origin to the point in the complex plane that represents the number.
- In electrical engineering, complex_quantities are used to represent the impedance of circuits that contain resistors and capacitors.