Complex Numbers

Caspar Wessel, a Norwegian and Danish mathematician was the first to porpose representing complex numbers in a two dimensional plane using real and imaginary axes. The idea was developed by Jean-Robert Argand, a Frenchman.

A real number is not a question nor an equation or inequality that can be solved. There may be questions associated with real numbers that may be solved but that is not the same as solving the real number. The question is like asking how someone can solve you!

A number that is "real". In other words, it actually exists. As apposed to "imaginary" numbers. Which really is only one. The square root of a negative one.

x = √(2-x)

x2 = 2-x

x2 + x = 2

x2 + x - 2 = 0

(x+2)(x-1) = 0

x = 1 or -2

it's Barclays (apparently) trying to sell Personal Accident Cover insurance.

Yes.

Yes

9 decades since 10 years is one decade

There may not be any relationship between number of sets and number of elements. You can have just one set or thousands of sets. Similarly, you can also have just one element (rare) or thousands of elements.

Gauss(I think)

Probably because if you consider real numbers, you are not interested in complex numbers.Any complex number other than zero - and that includes real numbers - has three cubic roots, which have an angle of 120 degrees between one another. For example, the cubic roots of 1 are 1, 1 at an angle of 120°, and 1 at an angle of 240°. Similarly, the cubic roots of -1 are 1 at an angle of 180° (equal to -1), 1 at an angle of 60°, and 1 at an angle of 300°.

Rafael Bombelli is usually credited with discovering imaginary numbers in 1572.

There were hints of the theory going back much further, perhaps beginning with Hero of Alexandria in the first century.

It is 323-319-6060

Real number set, imaginary number set, and their subsets.

The complex combination of pure topologies is called a Hybrid. Examples of hybrid are star ring network and star bus network.

It is the arithmetic average or mean.

Any pair of complex conjugates do that.

No, both positive and negative numbers are part of the so-called "real" numbers. The so-called "imaginary" numbers are outside the number line.

Imagine the real numbers as a line from left to right, and the imaginary numbers a a separate line, from top to bottom. The place where they meet is zero. Positive is to the right of zero, negative to the left, imaginary numbers like +i or +3i to the top of zero, and negative imaginary numbes like -5i to the bottom of zero.

Yes, if you have an equation az^2 + bz + c = 0 where a, b, and c are complex numbers, you can use the quadratic formula to find the (usually two) possible complex values for z. However, they will usually not be conjugates of each other.

Some context would be helpful in answering this question, but the most usual meaning would be, a predetermined number, for example, there is a set number of people who can play a game of football.

two numbers, one for real part, one for imaginary part, then you have to redefine +,*,/ and so on

I thought it was real... square of -x is the same as the square of +x

Although the magnitude of 12 times a complex number will be greater than 5 times the same complex number, complex numbers are not ordered in the same way that ordinary numbers are. So you cannot compare 12*(x+iy) and 5*(x+iy).

Try reading a tape measure without them