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136
Section 11: Calculating With Complex Numbers
Keystrokes
2 ´ }
8 " v
6 ´ V
3 Y
*
4 v
5 ¤
2 " *
´ V
÷
2 v 5 ¤
4 " *
´ V
÷
´ %
2. Write a program to evaluate the function
values of z. (
conformal mappings.) Evaluate
(Answer: 0.3902 + 0.0122i. One possible keystroke sequence is: ´
b A v v 2 * 1 + ® 5 * 3 + ÷
¦ ´ } | n
3. 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
where z is some complex number.
Load the stack with z = 7 + 0i and see if you get the same answer as
before. (Answer: 12,691.0000 + 0.0000i.)
Now run the program for z = 1 + i. (Answer -24.0000 + 4.0000i.)
Display
0.0000
-8.0000
-8.0000
352.0000
-1.872.0000
4.0000
2.2361
-4.4721
4.0000
-295.4551
2.2361
-8.9443
2.0000
9.3982
-35.1344
9.3982
ω
represents a linear fractional transformation, a class of
2i. Display shows real part.
-8 + 6i.
(-8 + 6i)
2 i (-8 + 6i)
.
2
5
4
2
i 5
2
i
(-8
4
2 -
2
4
i 5
Real part of result.
Answer: 9.3982 -35.1344i.
ω
ω
for z = l+2i.
.)
3
.
3
.
.
3 )
6
i
.
5
i
.
2
z
1
for different
5
z
3
4
3
+ 2z
,
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