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manual:chapter3:complex [2017/06/17 14:39] smartin [Commands for complex numbers] |
manual:chapter3:complex [2017/06/17 15:13] smartin [Commands for complex numbers] |
==== Entering complex numbers ==== | ==== Entering complex numbers ==== |
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A complex number can be represented mathematically in rectangular form as $z = x + iy$ or in polar form as $z = re^{i\theta}$. A complex number is entered as a pair of numbers comma or space separated and enclosed in parenthesis. For example, the complex number $5+3i$ would be entered (in rectangular form) as ''(5, 3)'' or ''(5 3)'' or in polar form ($r,\theta$) as ''(5.83, ∡30.96)''((The keyboard shortcut for the angle symbol (∡) is **AL-RS-6**.)). Alternatively, a complex number can be created from two numbers using the command ''R→C'': | A complex number can be represented mathematically in rectangular form as $z = x + iy$ or in polar form as $z = re^{i\theta}$. A complex number is entered as a pair of numbers comma or space separated and enclosed in parenthesis. For example, the complex number $5+3i$ would be entered (in rectangular form) as ''(5, 3)'' or ''(5 3)'' or in polar form ($r,\theta$) as ''(5.83, ∡30.96)''((The keyboard shortcut for the angle symbol (∡) is **AL-RS-6**. In this case the calculator is set to ''DEG'' mode, angles can be expressed in radians by setting ''RAD''.)). Alternatively, a complex number can be created from two numbers using the command ''R→C'': |
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''5 3 R→C'' | ''5 3 R→C'' |
The following table summarizes commands applicable to complex numbers, $z=x+iy=re^{i\theta}$. | The following table summarizes commands applicable to complex numbers, $z=x+iy=re^{i\theta}$. |
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| Command | Purpose | Example | | | Command | Purpose | Example ($\theta$ in degrees) | |
| ''C→R'' | Break down complex number to two reals | ''(5,3) C→R'' yields ''(5,3)'' ''5'' ''3''| | | ''C→R'' | Break down complex number to two reals | ''(5,3) C→R'' yields ''(5,3)'' ''5'' ''3''| |
| ''R→C'' | Combine two numbers to a complex | ''5 3 R→C'' yields ''(5,3)''| | | ''R→C'' | Combine two numbers to a complex | ''5 3 R→C'' yields ''(5,3)''| |