Definition:Complex Number/Wholly Imaginary
< Definition:Complex Number(Redirected from Definition:Purely Imaginary)
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Definition
A complex number $z = a + i b$ is wholly imaginary if and only if $a = 0$.
Also known as
Variants on wholly imaginary are:
and so on.
Also see
- Results about wholly imaginary can be found here.
Sources
- 1960: Walter Ledermann: Complex Numbers ... (previous) ... (next): $\S 1.2$. The Algebraic Theory
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: The Complex Number System
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): complex number
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): complex number
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): imaginary number