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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.

500 Questions

How do you use a caculator?

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Asked by Wiki User

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?

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Asked by Netflyer

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?

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Asked by Wiki User

iota square is normally NOT equal to one.

What is the advantage of product differentiation?

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Asked by Wiki User

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?

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Asked by Wiki User

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?

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Asked by Wiki User

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

Finite sets are always discrete.

What is the complex equation for 6 less than the quotient of h divided by 2 is 10?

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Asked by Wiki User

Do you mean h/2 -6 = 10 if so then the value of h is 32

How do you get 8 only using four nines?

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Asked by Wiki User

9+9-9/.9=8 here u go

Which one is first 0.013 or 0.13?

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Asked by Wiki User

it is 0.013

How did complex number calculator influence modern computing?

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Asked by Wiki User

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?

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Asked by Wiki User

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 an example of a product that requires product differentiation?

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Asked by EncofBizandFinance

For example, product differentiation might be necessary when a new laundry detergent is advertised.

What is Michael musso real number?

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Asked by Wiki User

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?

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Asked by Wiki User

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