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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

How much is 67 pounds in kilograms?

i weigh 67 kg and wont to know how much that is in pounds

How do you use a caculator?

Well first you type in the numbers you need then you type in the symbol you need.

What is X when raised to the 3-5i power and the answer is 23-14i?

X = 1.31356+0.612045*i

Steps to solve, take the natural log of both sides:

ln(X^(3-5i)) = ln(23-14i).

(3-5i)*ln(X) = ln(23-14i). Convert 23-14i to exponential form: A*e^(iΘ) {A = 26.926 and Θ = -0.54679 radians}

(3-5i)*ln(X) = ln(A*e^(iΘ))= ln(A) + iΘ = ln(26.926) - 0.54679i.

divide by (3-5i): ln(X) = (ln(A) + iΘ) / (3-5i) = (3.2931 - 0.54679i)/(3-5i)

So we have ln(X) = 0.370978 + 0.436033i, then:

e^(ln(X)) = e^(0.370978 + 0.436033i) --> X = 1.31356+0.612045*i

How iota square is equal to one?

iota square is normally NOT equal to one.

What is the advantage of product differentiation?

A company that excels at product differentiation can normally demand a higher price for a product because of its perceived higher quality.

What is the answer to a number set of 12 numbers maximum 8mode 6range 6 median 5?

Since the maximum is 8 and the range is 6, it means the minimum must be 2.

So let's write, 2 _ _ _ _ _ | _ _ _ _ _ 8

Since there are 12 data (even) and the median is 5, it means the possible data giving us the median are 4 and 6, or 5 and 5.

By knowing the mode is 6, you can fill out the places with numbers that can fit on. for example,

2 2 3 3 4 4 6 6 6 7 7 8, or 2 2 2 3 3 4 6 6 6 6 7 8, or 2 3 4 4 4 5 5 6 6 6 6 8, etc.

What do you call a set of numbers with an exact number of points?

This is called a discrete set (all points isolated) or a finite set.

Finite sets are always discrete.

How did complex number calculator influence modern computing?

Calculators, probably in the 1980's (I know for a fact the HP 48 calculator circa 1992 handled complex and imaginary numbers) helped people perform calculations with complex numbers, without having to figure conjugates, angles, etc. on paper.

Complex number computing was long before that.

I know that FORTRAN (developed by IBM and released in 1957) could handle complex number calculations. FORTRAN was designed specifically for scientific and engineering calculations. Check out the Wikipedia article.

What program to add two Complex numbers in java?

I found this class that defines complex numbers, and has the capacity of adding them, and much more:

http://www.math.ksu.edu/~bennett/jomacg/c.html

Basically, you define a class with two fields, one for the real part, and one for the imaginary part.

What is Michael musso real number?

it's 240-277-2082

but dont try to call b/c he like never uses his phone

just saying!

scroll down if you don't think this is his real number

HAHAHAHAHAHAHA NO IT ISN'T I HAVE NO IDEA WHAT HIS NUMBER IS!!

How do you see that 108200000?

It is: 108,200,000 and can be expressed as 1.082*108 in scientific notation

What are some imaginary sights?

Imaginary sights can include fantastical landscapes like floating islands adorned with vibrant, luminescent flora, or a bustling city in the clouds where buildings are made of glass and light. You might envision a serene forest where trees whisper secrets and streams shimmer with colors unseen in reality. Other examples could be a grand castle perched on the edge of a rainbow or mythical creatures like dragons soaring through a starry sky. These sights evoke wonder and creativity, allowing the mind to explore realms beyond our own.