Metric <-> Imperial <-> Metric
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| Internet Glossary |
This JavaScript program (by Stephen R. Schmitt) performs the following complex arithmetic operations:
| z = x + y | add y to x |
| z = x - y | subtract y from x |
| z = x * y | multiply x by y |
| z = x / y | divide x by y |
| z = 1 / x | inverse of x |
| z = x^2 | x squared |
| z = sqrt x | square root of x |
| z = | x | | absolute value of x |
| z = arg x | argument of x in radians |
| z = exp x | base e raised to power x |
| z = ln x | natural logarithm of x |
| z -> x | copy z to x |
| z -> y | copy z to y |
| x <=> y | swap x and y |
To
operate the calculator, enter the values of complex numbers into
x and y and then press the button corresponding to the desired
operation.
To reset the input windows, press the 'Clear' button
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Notes A complex number is represented as: z = a + jb where j2 = -1. Letting, x = a + jb
y = c + jd
r = sqrt (a2 + b2)
t = arctan( b/a )
the operations of the calculator are performed as follows: x + y = (a + c) + j(b + d)
x - y = (a - c) + j(b - d)
x * y = (ac - bd) + j(ad + bc)
x / y = [(ac + bd) + j(bc - ad)] / (c2 + d2)
1 / x = (a - bj) / (a2 + b2)
x2 = (a2 - b2) + 2abj
sqrt x = (sqrt r)(sin t/2 + j cos t/2)
| x | = sqrt (a2 + b2)
arg x = arctan( b/a )
exp x = ea(cos b + j sin b)
ln x = ln r + j t
The calculator computes only the principle value for multivalued
functions. |