- #1

- 1

- 0

what is the defination of complex no?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter Ijjapwar
- Start date

- #1

- 1

- 0

what is the defination of complex no?

- #2

Science Advisor

Gold Member

- 1,914

- 216

The usual visualization is the complex plane: the first axis is a real number, the second axis is an imaginary number.

Then given two complex pairs (a,b) and (c,d) the multiplication rule is:

(a,b) x (c,d) = (a x c - b x d, a x d + b x c), which is what you would get if you were to write it out as

(a + bj) x (c + dj) and treat jxj=-1, and regroup the resulting set of terms as real and imaginary as a pair.

The resulting algebra is commutative and associative, but the complex numbers are not "ordered" ... you cannot say that (a,b) is greater or lesser than (c,d), though you can determine the magnitudes (distance from the origin of the plane) ... then all complex numbers lying on the same circle have the same magnitude. Two complex numbers are equal if corresponding elements of each pair are equal.

- #3

Mentor

- 29,305

- 4,038

Is that really so difficult to check wikipedia or google for the definition?

Share:

- Replies
- 7

- Views
- 973

- Replies
- 13

- Views
- 793

- Replies
- 2

- Views
- 458

- Replies
- 5

- Views
- 299

- Replies
- 38

- Views
- 2K

- Replies
- 0

- Views
- 445

- Replies
- 2

- Views
- 1K

- Replies
- 5

- Views
- 984

- Replies
- 8

- Views
- 869

- Replies
- 1

- Views
- 630