HP (Hewlett-Packard) 50g ユーザーズマニュアル
Page 4-4
On the other hand, if the coordinate system is set to cylindrical coordinates (use
CYLIN), entering a complex number (x,y), where x and y are real numbers, will
produce a polar representation. For example, in cylindrical coordinates, enter
the number (3.,2.). The figure below shows the RPN stack, before and after
entering this number:
CYLIN), entering a complex number (x,y), where x and y are real numbers, will
produce a polar representation. For example, in cylindrical coordinates, enter
the number (3.,2.). The figure below shows the RPN stack, before and after
entering this number:
Simple operations with complex numbers
Complex numbers can be combined using the four fundamental operations
(+-*/). The results follow the rules of algebra with the caveat that
i
(+-*/). The results follow the rules of algebra with the caveat that
i
2
= -1. Operations with complex numbers are similar to those with real
numbers. For example, with the calculator in ALG mode and the CAS set to
Complex, we’ll attempt the following sum: (3+5i) + (6-3i):
Complex, we’ll attempt the following sum: (3+5i) + (6-3i):
Notice that the real parts (3+6) and imaginary parts (5-3) are combined
together and the result given as an ordered pair with real part 9 and imaginary
part 2. Try the following operations on your own:
together and the result given as an ordered pair with real part 9 and imaginary
part 2. Try the following operations on your own:
(5-2i) - (3+4i) = (2,-6)
(3-i)·(2-4i) = (2,-14)
(5-2i)/(3+4i) = (0.28,-1.04)
1/(3+4i) = (0.12, -0.16)
Notes:
The product of two numbers is represented by: (x
The product of two numbers is represented by: (x
1
+iy
1
)(x
2
+iy
2
) = (x
1
x
2
- y
1
y
2
)
+ i (x
1
y
2
+ x
2
y
1
).
The division of two complex numbers is accomplished by multiplying both
numerator and denominator by the complex conjugate of the denominator,
i.e.,
numerator and denominator by the complex conjugate of the denominator,
i.e.,