Your Guide to the Python print() Function – Real Python 
<https://realpython.com/python-print/>
Maybe this is of use for your printing issue
[email protected] schrieb am Montag, 30. Juni 2025 um 15:58:07 UTC+2:

> Where output goes when you run things within PyCharm depends on exactly 
> how you run it and what options you have set for the virtual environment 
> your code is running in. Your issue is likely to be difficult to diagnose 
> from afar. Again, I suggest you try Jupyter, where the code apparently 
> works. 
>
> Dr. Jonathan Gutow
> Halsey Science Room 412
> Chemistry Department
> UW Oshkosh
> web: https://cms.gutow.uwosh.edu/Gutow
> e-mail: [email protected]
> Ph: 920-424-1326 <(920)%20424-1326>
>
> On Jun 30, 2025, at 8:47 AM, Stephen Learmonth <[email protected]> 
> wrote:
>
> I'm not getting any output at all.
>
> It shouldn't matter if I use PyCharm or Jupyter Notebook. The only thing 
> that should matter is Python interpreter version, SymPy version, Numpy 
> version  and SciPy version. 
>
>
>
> On Monday, 30 June 2025 at 14:31:41 UTC+1 [email protected] wrote:
>
>> I use PyCharm for coding packages. I would not use it for this task. As 
>> has been suggested before, I encourage you to install Jupyter 
>> <https://jupyter.org/>, numpy, sympy and scipy. Then paste Peter’s code 
>> into a cell and run it. You will get cleaner output and it will be easier 
>> to keep track of what code has been run in a notebook. 
>>
>> Dr. Jonathan Gutow
>> Halsey Science Room 412
>> Chemistry Department
>> UW Oshkosh
>> web: https://cms.gutow.uwosh.edu/Gutow
>> e-mail: [email protected]
>> Ph: 920-424-1326 <(920)%20424-1326>
>>
>> On Jun 30, 2025, at 8:08 AM, Peter Stahlecker <[email protected]> 
>> wrote:
>>
>> I do not the the answer to your problem, I do not know what ``PyCharm 
>> Community Edition`` is. 
>> I get this output with your numbers:
>>
>> ```
>> time: 0.024225711822509766 message from root: The solution converged. error: 
>> [-4.44089210e-16 2.22044605e-16] w: 0.4474948009099584, b: 
>> -0.6156041430138662
>> ```
>>
>> [email protected] schrieb am Montag, 30. Juni 2025 um 13:39:01 
>> UTC+2:
>>
>>> I have tried executing your code in PyCharm Community Edition but i get 
>>> no output in the console. Nothing is printed to the console window. 
>>>
>>>
>>> On Sunday, 29 June 2025 at 15:28:42 UTC+1 [email protected] wrote:
>>>
>>>> m = 30       0..2 sec 
>>>> m = 40       1.0 sec
>>>> m = 50       1.2 sec
>>>> m = 60       1.6 sec
>>>> m = 70       2.0 sec
>>>>
>>>> This is on my PC, which is a good, average PC
>>>>
>>>>
>>>> [email protected] schrieb am Sonntag, 29. Juni 2025 um 16:08:15 
>>>> UTC+2:
>>>>
>>>> Thanks. 
>>>>
>>>> Can you give me a figure for execution time, when m = 30 say?
>>>>
>>>>
>>>>
>>>> Sent from my iPhone.
>>>>
>>>> On 29 Jun 2025, at 13:59, Peter Stahlecker <[email protected]> 
>>>> wrote:
>>>>
>>>> ```
>>>>
>>>> # %%
>>>> import numpy as np
>>>> import sympy as sm
>>>> from scipy.optimize import root
>>>>
>>>> m = 3
>>>>
>>>> w, b = sm.symbols('w, b')
>>>> x = [sm.symbols(f'x_{i}') for i in range(m)]
>>>> y = [sm.symbols(f'y_{i}') for i in range(m)]
>>>>
>>>>
>>>> def f(w, b, x, y):
>>>>     """Stephen's function"""
>>>>     m = len(x)
>>>>     if m != len(y):
>>>>         raise ValueError("x and y must have the same length")
>>>>
>>>>     summe = sum([sm.sqrt((w**2 * x[i] - w * (y[i] - b))**2) /
>>>>                     sm.cos(sm.atan((2 * w**2 * b - w * x[i] + y[i] + 
>>>> b) /
>>>>                                     (w**2 * x[i] - w * (y[i] - b))))
>>>>                     for i in range(m)])
>>>>     return summe / m
>>>>
>>>> dfdw = f(w, b, x, y).diff(w)
>>>> dfdb = f(w, b, x, y).diff(b)
>>>>
>>>> gleichung = sm.Matrix([[dfdw, dfdb]])
>>>> gleichung_lam = sm.lambdify((w, b, *x, *y), gleichung, cse=True)
>>>>
>>>> # %%
>>>> # Set values
>>>> x = [1.25, 2.0, 2.4]
>>>> y = [1.75, 1.65, 2.85]
>>>> if len(x) != m or len(y) != m:
>>>>     raise ValueError(f"x and y must have length {m}")
>>>>
>>>>
>>>> def func(xx, args):
>>>>     w, b = xx[0], xx[1]
>>>>     return gleichung_lam(w, b, *args).squeeze()
>>>>
>>>> # Initial guess
>>>> x0 = [1.043, -0.29]
>>>> args = [*x, *y]
>>>> # Iterate. This sometimes improves the result
>>>> for _ in range(3):
>>>>     loesung = root(func, x0, args=args)
>>>>     x0 = loesung.x
>>>> print("message from root:", loesung.message)
>>>> print('error:', loesung.fun )
>>>> print(f"w: {loesung.x[0]}, b: {loesung.x[1]}")
>>>> ````
>>>>
>>>> This seems to work.
>>>> I tried it for up to m = 75
>>>> NOTE: I replaced abs(a) with sqrt(a**2) as this 'behaves' better 
>>>> numerically.
>>>>
>>>> [email protected] schrieb am Sonntag, 29. Juni 2025 um 14:21:11 
>>>> UTC+2:
>>>>
>>>> Let me post a reviewed version of the equations to solve:
>>>>
>>>> [image: Screenshot 2025-06-29 at 13.19.38.png]
>>>>
>>>> On Sunday, 29 June 2025 at 12:25:54 UTC+1 [email protected] wrote:
>>>>
>>>> Clear.
>>>>
>>>> But you only give *one* equation: df(w,b; x, y) /dwdb = 0
>>>>
>>>> *Two* equations are needed to try and solve for w, b.
>>>>
>>>>  
>>>>
>>>> *From:* [email protected] <[email protected]> *On Behalf Of 
>>>> *Stephen 
>>>> Learmonth
>>>> *Sent:* Sunday, June 29, 2025 1:20 PM
>>>> *To:* sympy <[email protected]>
>>>> *Subject:* Re: [sympy] How can I solve this complex math equation 
>>>> using SymPy?
>>>>
>>>>  
>>>>
>>>> x(i) can be 1.25, 2.0, 2.4 and y(i) can be 1.75, 1.65, 2.85 for i = 1 
>>>> to 3.
>>>>
>>>> initial guess for w is +1.043 and b = -0.29.
>>>>
>>>>  
>>>>
>>>> On Sunday, 29 June 2025 at 11:33:14 UTC+1 [email protected] wrote:
>>>>
>>>>  
>>>>
>>>> What woud be the range of x(i), y(i)?
>>>>
>>>> What could be good initial guesses for w, b?
>>>>
>>>> (Needed to solve numerically.)
>>>>
>>>>  
>>>>
>>>>  
>>>>
>>>> On Sun 29. Jun 2025 at 12:11, <[email protected]> wrote:
>>>>
>>>> If you can solve for $m = 3$ to start with that would be great.
>>>>
>>>>  
>>>>
>>>>  
>>>>
>>>> Sent from my iPhone.
>>>>
>>>>
>>>>
>>>> On 29 Jun 2025, at 11:02, [email protected] wrote:
>>>>
>>>> Yes, it is non-linear
>>>>
>>>>  
>>>>
>>>> Closed-form or numerical.
>>>>
>>>>  
>>>>
>>>> Thanks.
>>>>
>>>>  
>>>>
>>>> Sent from my iPhone.
>>>>
>>>>
>>>>
>>>> On 29 Jun 2025, at 10:47, Peter Stahlecker <[email protected]> 
>>>> wrote:
>>>>
>>>> 
>>>>
>>>> At first glance this looks nonlinear in w and in b.
>>>>
>>>> Do you think there exists a closed form solution, or are you looking 
>>>> for a numerical solution given the x(i), y(i)?
>>>>
>>>>  
>>>>
>>>>  
>>>>
>>>> On Sun 29. Jun 2025 at 11:33, Stephen Learmonth <[email protected]> 
>>>> wrote:
>>>>
>>>>  
>>>>
>>>> <Screenshot 2025-06-29 at 10.31.04.png>
>>>>
>>>>  
>>>>
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