# astGl - Uebung 4

## Aufgabe 1


```python
%matplotlib notebook
from sympy import *
import matplotlib.pyplot as plt
from IPython.display import display, Math, Latex
def disp(str):
    display(Latex(str))
```


```python
G1,G2,G = symbols('G1,G2,G')
eqg = [
    (G1, G),
    (G2, G)
]
eqg
```




    [(G1, G), (G2, G)]




```python
wu,wp2,s,A = symbols('wu,wp2,s,A')
eqop = [
    (wp2, wu/4),
    (A, wu/s*wp2/(s+wp2))
]
eqop
```




    [(wp2, wu/4), (A, wp2*wu/(s*(s + wp2)))]




```python
eqT = -G1*A*(G1+G2)/(1+G2*A*(G1+G2))
eqT
```




$\displaystyle - \frac{A G_{1} \left(G_{1} + G_{2}\right)}{A G_{2} \left(G_{1} + G_{2}\right) + 1}$




```python
eqT.subs(eqg)
```




$\displaystyle - \frac{2 A G^{2}}{2 A G^{2} + 1}$




```python
eqT.subs(eqop).simplify()
```




$\displaystyle - \frac{G_{1} \wp_{2} wu \left(G_{1} + G_{2}\right)}{G_{2} \wp_{2} wu \left(G_{1} + G_{2}\right) + s \left(s + \wp_{2}\right)}$




```python

```

1169d571cc14161bb6416badf02915ef171e096f
ipynb
Jupyter Notebook
astGl/astGl_Uebung4_.ipynb
mnemocron/FHNW
e43c298cb9c8f617fa19b77dd6630a342c78bda7
Unlicense
2020-10-07T07:28:33.000Z
2020-10-07T07:28:33.000Z
astGl/astGl_Uebung4_.ipynb
mnemocron/FHNW
e43c298cb9c8f617fa19b77dd6630a342c78bda7
Unlicense
astGl/astGl_Uebung4_.ipynb
mnemocron/FHNW
e43c298cb9c8f617fa19b77dd6630a342c78bda7
Unlicense
2021-01-17T16:38:58.000Z
2021-01-17T16:38:58.000Z
Qwen/Qwen-72B
1. YES
2. YES