The quotient (or ratio) of and may be defined as such a number (or element of the field) that . Thus,
which is the “fundamental property of quotient”.
The quotient of the numbers and () is a uniquely determined number, since if one had
then we could write
from which the supposition would imply , i.e. .
The explicit general expression for is
For positive numbers the quotient may be obtained by performing the division algorithm with and . If , then indicates how many times fits in .
So we have the method for getting the quotient of complex numbers,
|Date of creation||2014-08-08 17:51:29|
|Last modified on||2014-08-08 17:51:29|
|Last modified by||pahio (2872)|
|Defines||fundamental property of quotient|