Archive for the ‘Complex Number’ Category
Thursday, March 6th, 2008
Complex numbers, which are imaginary roots to equation, can be represented in a special graph called the Argand diagram.
An example of complex number 4 + i3 is illustrated graphically below in Diagram 1.
Diagram 1
This Argand Diagram represents both the Real number (horizontal axis) and Imaginary number (vertical axis) in a ...
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Wednesday, December 12th, 2007
Multiplication of complex number in rectangular (or Cartesian) form, can be simply performed using normal algebra multiplication method.
However, when the complex numbers are in Polar form, their product is found through a special formula. This polar formula enables multiplication to be simple, instead of transforming them to rectangular form before computation.
Polar Formula: ...
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Sunday, December 9th, 2007
This post covers simple terms in complex numbers that can be mentally converted from its Rectangular form to Polar form, and vice versa.
There are times where complex number terms are simple enough to warrant the use of detailed computational steps to perform cross-conversion, or the need of calculator to do ...
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Sunday, December 9th, 2007
Division in Polar form can be done through reverting back the polar term to its rectangular form. After converting, complex conjugate is then applied to solve the division. This is one method. There is however another method in Polar form.
Polar Division Formula: A ÐK0 / B ÐY0 = (A/B) ÐK- Y 0.
Example 1: 6 Ð400 / 2 ...
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Sunday, December 9th, 2007
In math, complex number can be expressed in 3 forms. One of them, the Polar form, can clearly demonstrate that the information provided is "amplitude" and "argument".
Polar form: A ÐK0
where
"A" represents the length and normally termed "Amplitude" or "Modulus", and
"K" representing the angle it makes with a horizontal axis and termed "Argument".
With ...
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Friday, December 7th, 2007
Complex numbers can be added (or subtract) as normal algebra math operation. However, in complex number, there are not as straight forward depending on which form is chosen for the addition. To view the types of form used to represent complex numbers, click this link.
When the complex numbers are added ...
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