You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
59 lines
951 B
59 lines
951 B
<<<<<<< HEAD
|
|
# mmathlib
|
|
|
|
**Compile and run**
|
|
```bash
|
|
git clone https://code.smolnet.org/micke/mmathlib.git
|
|
cd mmathlib
|
|
g++ -o fractions fractions.cpp
|
|
./fractions
|
|
g++ -o cnumber cnumber.cpp
|
|
./cnumber
|
|
g++ -o matrix matrix.cpp
|
|
./matrix
|
|
```
|
|
|
|
**Output**
|
|
|
|
```
|
|
7/3=(7/3)
|
|
7/3=2.333333333
|
|
1/11=(1/11)
|
|
1/11=0.09090909091
|
|
(7/3)+(1/11)=(80/33)
|
|
(7/3)+(1/11)=2.424242424
|
|
(7/3)-(1/11)=(74/33)
|
|
(7/3)-(1/11)=2.242424242
|
|
(7/3)*(1/11)=(7/33)
|
|
(7/3)*(1/11)=0.2121212121
|
|
(7/3)/(1/11)=(77/3)
|
|
(7/3)/(1/11)=25.66666667
|
|
0.75=(3/4)
|
|
a = 3+2i
|
|
a* = 3-2i
|
|
a*a* = 13
|
|
b = 4-3i
|
|
b* = 4+3i
|
|
b*b* = 25
|
|
a + b = 7-i
|
|
(a + b)* = 7+i
|
|
a - b = -1+5i
|
|
(a - b)* = -1-5i
|
|
a * b = 18-i
|
|
(a * b)* = 18+i
|
|
a / b = (6/25)+(17/25)i
|
|
(a / b)* = (6/25)-(17/25)i
|
|
The matrix m:
|
|
| 7 | 5 | i |
|
|
| 0 | 2 | 0 |
|
|
| -i | 0 | 4 |
|
|
The matrix m's transpose:
|
|
| 7 | 0 | -i |
|
|
| 5 | 2 | 0 |
|
|
| i | 0 | 4 |
|
|
The matrix m is not hermitian, here is the hermitian conjugate:
|
|
| 7 | 0 | i |
|
|
| 5 | 2 | 0 |
|
|
| -i | 0 | 4 |
|
|
```
|