136 Section 11: Calculating With Complex Numbers
2 ´ }
0.0000
2i. Display shows real part.
8 ” v
-8.0000
6 ´ V
-8.0000
−8 + 6i.
3 y
352.0000
(−8 + 6i)
3
.
*
-1.872.0000
2i (−8 + 6i)
3
.
4 v
4.0000
5 ¤
2.2361
2 ” *
-4.4721
−2
5.
´
V
4.0000
4
−
2
5i.
÷
-295.4551
2i
−8
+
6i
3
.
2 v 5 ¤
2.2361
4 ” *
-8.9443
´
V
2.0000
2 −
4
5i.
÷
9.3982
Real part of result.
´ %
-35.1344
Answer: 9.3982 − 35.1344i.
9.3982
2.
Write a program to evaluate the function ω =
5z +
3
values of z. (ω
represents a linear fractional transformation, a class
of conformal mappings.) Evaluate ω for z = 1 + 2i.
. One possible keystroke sequence is:
´
b
A v v 2 * 1 + ® 5 * 3 + ÷
¦ ´
} | n
.)
Try your hand at a complex polynomial and rework the example on
page 80. You can use the same program to evaluate P(z) = 5z
4
2z
3
, where z is some complex number.
Load the stack with z = 7 + 0i and see if you
as before.
(Answer: 12,691.0000 + 0.0000i.)
Now run the program for z = 1 + i.
(Answer −24.0000 + 4.0000i.)
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