pure imaginary number

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Definitions from WordNet

Noun pure imaginary number has 1 sense

pure imaginary number - an imaginary number of the form a+bi where a is 0
--₁ is a kind of complex number, complex quantity, imaginary number
--₁ has particulars: imaginary part, imaginary part of a complex number

Definitions from the Web

Pure Imaginary Number

Definition:

A pure imaginary number is a complex number that can be expressed as the product of a real number and the imaginary unit, i.

Usage:

Mathematics: In mathematics, pure imaginary numbers are of the form bi, where b is a real number and i is the imaginary unit (√-1).
Physics: Pure imaginary numbers often find applications in physics, specifically in electrical engineering and quantum mechanics.

Examples:

Mathematics:

The number 3i is a pure imaginary number.
When solving a quadratic equation, if the discriminant is negative, the solutions will involve pure imaginary numbers.
The graph of a pure imaginary number on the complex plane lies on the imaginary axis.

Physics:

In AC circuit analysis, impedance sometimes requires the use of pure imaginary numbers.
In quantum mechanics, wave functions can be expressed using pure imaginary numbers.

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