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Complex Numbers

The square root of negative one, which we now call the imaginary unit, was once thought to be an absurd notion. However, through the diligent studies of open-minded mathematicians, it was shown that the real numbers were actually just one part of a larger set of numbers known as the complex numbers, the other part being the imaginary numbers. Please direct all questions about these surprisingly useful and applicable numbers into this category.

887 Questions

What can you formulate from the real numbers?

This question is kind of vague.

Many of your everyday situations use the rational numbers (fractions and integers), which are a subset of real numbers.

If you do anything with angles (like surveying, or navigation) then irrational (which are still real) come into play.

There are situations when it's necessary to consider complex (a combination of real and imaginary) numbers. When dealing with waves or periodic motion, imaginary numbers become an important thing to consider.

How do use a calculator to estimate roots of numbers?

The calculator already gives you a square root (or other root) with 8 or 10 significant digits, and does so quickly; there is no need to "estimate". However, you can round the result if you like.


What is the function of large set of numbers?

There is no single function. In fact there are infinitely many possible functions.

What is the Golgi Complex number?

I don't think there is such a thing. There is a "Golgi complex", also known as the "Golgi apparatus", but it is not related to numbers.

What is the properties of complex numbers when you are considering it in case of group?

The properties of an array or group or complex numbers form a system of real

and imanginary numbers that are at a 90 degree angle to each other. Refer to

the Related Link and notice that in both panes, the lines are at 90 degrees.

What is this from least to greatest 0.490.8212?

Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question. Please edit your question to include words for symbols and resubmit.
The numbers are not separately identified in the question.

Argand graphs imaginary numbers?

An Argand Diagram is a graphical representation of a complex number. The real part is the horizontal coordinate, and the imaginary part is the vertical coordinate.

See Related Link at Wolfram MathWorld.

Write a program in C to find the complex number of a given number?

There is no such thing; you seem to have misunderstood something.

Any real number can be regarded as a complex number with zero imaginary part, eg.: 5 = 5+0i

Can you figure out two complex numbers that when mulitplied together become a real number?

3 and 5 are both complex numbers, and if you multiply them together, you get 15, which is a real number.

If you were looking for two non-real complex numbers, then any pair of complex conjugates will work. For example, 5+2i times 5-2i is 29.

What three words equal 25 if a equals 1 b equals 2 c equals 3 and so on?

A big cab. That one works, with numbers 1, 2, 9, 7, 3, 1, 2.

There are likely quite a few more, that's just one I found.

Who introduce complex numbers?

It's hard to say. The concept is very old. I would start with the related link article on Wikipedia.

How many careers use imaginary numbers?

There are many but some are electrical, civil and even weather. Complex formulas

can help map pictures of weather turbulance. Refer to the Related Link for an image.

What are complex or imaginary numbers?

An imaginary number is a number, which when squared, gives a negative real number. Any positive or negative real number, when squared, will give a positive real number. Imaginary numbers were originally conceived (around the 1500's) to provide solutions to equations which required there be a solution to the square root of a negative real number. Originally, that was the only purpose that they served, so they were given the term imaginary. The imaginary numbers were shown to be graphically at a 90° angle to real numbers. Complex numbers are the combination of real and imaginary numbers, and can be plotted graphically on a complex plane, just like you would plot x and y coordinates on a regular 2-dimensional plane.

Through the work of Euler in the 1700's and others, a relationship between imaginary numbers and the behavior of waves and oscillating motion was worked out. See related link for some interesting information about imaginary and complex numbers.