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the absolute value of x + iy is equal to (x^2+y^2)^.5

and is the same for the conjugate, x-iy

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โˆ™ 2012-04-21 04:36:29
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Q: How do you determine the absolute value of a complex conjugate?
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Which operation involves complex numbers requires the use of a conjugate to be carried out?

One operation that is used a lot in quantum mechanics is taking the absolute value of the square of a complex number. This is equivalent to multiplying the complex number by its complex conjugate - and doing this is simpler in practice.


What is the absolute value of a complex number?

The absolute value of a complex number a+bi is the square root of (a2+b2). For example, the absolute value of 4+9i is the square root of (42 + 92) which is the square root of 97 which is about 9.8489 (The absolute value of a complex number is not complex.)


Which arithmetic operation requires the use of the complex conjugate?

It can be used as a convenient shortcut to calculate the absolute value of the square of a complex number. Just multiply the number by its complex conjugate.I believe it has other uses as well.


What is another name for absolute value of a complex number?

The absolute value of a complex number is the magnitude of the number, which is found from sqrt(a² + b²) for the complex number a + bi


What is the absolute value of -4.2?

The absolute value of a number is the distance from that number to 0. Therefore, the absolute value is ALWAYS positive. the absolute value of -4.2 is 4.2 To find the absolute value, just determine how far it is from 0.


Why is it useful for me to know the absolute value of a number?

The absolute value of a number is the distance to zero. When adding which ever number has the greater absolute value will determine the sign of the answer.


Can an absolute value be zero?

The absolute value of zero is zero. The absolute value of any other real number - or even of any other complex number - is different from zero.


A numbers distance from zero?

That is called the "absolute value". For example, the absolute value of 5 is 5; the absolute value of -5 is also 5. If you are familiar with complex numbers, the absolute value of 4 + 3i, for example, is also 5.


How do you determine the absolute value of a number?

To find the absolute value of a number count the amount of spaces it is away from Zero. If the number is 5 then the absolute value is 5. If the number is -5 then the absolute value is 5. And so on and so forth.


Why cant the adsolute value of a number be negtive?

That is because of the way the absolute value is defined. The absolute value of a positive number is positive, the absolute value of a negative number is also positive. The absolute value of zero is zero. Even in the complex numbers, the absolute value is defined in such a way that it is a real and positive number.


How do you rationalise the denominator?

It depends on what the denominator was to start with: a surd or irrational or a complex number. You need to find the conjugate and multiply the numerator by this conjugate as well as the denominator by the conjugate. Since multiplication is by [conjugate over conjugate], which equals 1, the value is not affected. If a and b are rational numbers, then conjugate of sqrt(b) = sqrt(b) conjugate of a + sqrt(b) = a - sqrt(b), and conjugate of a + ib = a - ib where i is the imaginary square root of -1.


What is triangular inequality of complex number?

The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.


Who invented absolute value?

Jean-Robert Argand came up with the idea of absolute value, although he specifically meant complex absolute value. On the other hand Karl Weierstrass came up with the notation | x |.


What is the absolute value of -2-5i?

You can get the absolute value of a complex number by using Pythagoras's Theorem, which in this case is: absolute value (i.e., distance from zero) = the square root of (real part squared + imaginary part squared).


What is the difference of absolute value and relative value?

Absolute value uses a companies cash flow to determine it's worth. Relative value compares a companies worth to other competitors.


What can you determine about the steepness of a line in terms of its slope?

Its steepness is the absolute value of its slope.


Is the set of all complex numbers x that have absolute value 1 closed under addition?

No.


What are 3 words that are in The Princess Diaries by Meg Cabot?

histocompatibility complex, absolute value, and etiquette.


What is aboslute value?

"Absolute value" means how far a number is from zero.* In the case of real numbers, just remove the minus sign if there is one. The absolute value of 5 is 5; the absolute value of -5 is also 5. * In the case of complex numbers, the Pythagorean theorem is used.


Is the set of all complex numbers x that have absolute value 1 closed under multiplication?

of course!


How do you determine the absolute value of an integer?

If the number is 0 or positive, then its absolute value is itself. If the integer is negative, then its absolute value will be its negative (which will be positive).To illustrate the second case, Abs(-3) = -(-3) = +3.


How do you determine the absolute value of a integer?

The absolute value of a number is expressed with the symbol |. To show you want to find the absolute value of an integer(using x as the integer) you would do this |x|. Examples- |2| = 2 |-9| = 9 |325| = 325 |-457245| = 457245


Distance a number is from zero?

That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.


What is the absolute value of money?

Absolute value, also known as an intrinsic value, refers to a business valuation method that uses discounted cash flow (DCF) analysis to determine a company's financial worth. The absolute value method differs from the relative value models that examine what a company is worth compared to its competitors.


What is the absolute value of x?

It is the distance of x from zero. Examples:The absolute value of 5 is 5. The absolute value of -10 is 10. (Complex numbers) The absolute value of 4 + 3i is 5.