Since all reference to imaginary numbers has been eliminated from this equation, it can be applied to fields that are complex values.
42.
After dealing with the multiplication of real and imaginary numbers, Bombelli goes on to talk about the rules of addition and subtraction.
43.
One way to clarify the situation would be to add an imaginary number describing the height of an imaginary vertical reciprocating rod:
44.
So it is difficult to see how any extension of these ideas could give a meaning to an imaginary number of dimensions.
45.
Right away, he makes it clear that the rules of arithmetic for imaginary numbers are not the same as for real numbers.
46.
Geometrically, imaginary numbers are found on the vertical axis of the complex number plane, allowing them to be presented perpendicular to the real axis.
47.
There is not one single case in all of math and physics where an imaginary number popped out into the " real " world.
48.
Someone else could probably do this more elegantly with vectors and imaginary numbers, but my maths is not up to tackling it than way!
49.
These are conceptually useful yet imaginary numbers because they have as a component the square root of minus one, a thing that does not exist.
50.
In the past decade of the bubble era, we see a new group of business people who made their fortunes from toying with imaginary numbers.
