Complex Numbers
| Example | Meaning and verbal equivalent | Remarks |
|---|---|---|
| i j | imaginary unit; i² = −1 | In electrotechnology, j is generally used. |
| Re z | real part of z | z = x + iy, where x = Re z and y = Im z |
| Im z | imaginary part of z | |
| ∣z∣ | absolute value of z; modulus of z | mod z is also used |
| arg z | argument of z; phase of z | z = reiφ, where r = ∣z∣ and φ = arg z, i.e. Re z = r cos φ and Im z = r sin φ |
| z* | (complex) conjugate of z | sometimes a bar above z is used instead of z* |
| sgn z | signum z | sgn z = z / ∣z∣ = exp(i arg z) for z ≠ 0, sgn 0 = 0 |
Read more about this topic: ISO 31-11
Famous quotes containing the words complex and/or numbers:
“It would be naive to think that peace and justice can be achieved easily. No set of rules or study of history will automatically resolve the problems.... However, with faith and perseverance,... complex problems in the past have been resolved in our search for justice and peace. They can be resolved in the future, provided, of course, that we can think of five new ways to measure the height of a tall building by using a barometer.”
—Jimmy Carter (James Earl Carter, Jr.)
“Publishers are notoriously slothful about numbers, unless they’re attached to dollar signs—unlike journalists, quarterbacks, and felony criminal defendents who tend to be keenly aware of numbers at all times.”
—Hunter S. Thompson (b. 1939)