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complex number
This term is a technical mathematical designation used primarily in algebra, physics, and engineering. It describes a value that extends the one-dimensional real number line into a two-dimensional complex plane, allowing for the solution of equations that have no real roots, such as those involving the square root of a negative number.
In professional and academic discourse, the term is used with high precision. It is distinct from the word "complex" used as an adjective to mean "complicated"; here, "complex" refers specifically to the composition of real and imaginary components.
Meanings
Examples
We are learning how to add a complex number to another one in class today.
The result of this calculation is a complex number.
I cannot believe I have to use a complex number to solve this problem.
Every real number is technically a complex number with an imaginary part of zero.
The engineer used a complex number to represent the phase of the electrical signal.
Is this value a real number or a complex number?
The formula requires the input to be a complex number.
He wondered if the solution would be a simple integer or a complex number.