I have these 6 variables, from there all the others are calculated, except Z
A, B, X, H, I, Y
Y doesn't matter much because I always want it to be 100
I would like to have a formula to calculate Z automatically

https://preview.redd.it/jhomifg9tqoc1.png?width=696&format=png&auto=webp&s=4de1f26c46d3bd63846f7eeea34c71cdf6ab09f1

F = M = Y,
F = D*G,
M = K*N,
G = E-A,
E = X*(1+Z/100),
L = X*(1-Z/100),
N = H-L,
D = C/B,
K = J/I,
C = (Y*N*B)/(N*B+I*G),
J = Y-C,
Y = 100,
Solve Z

Wolfram|Alph is not able to solve Z
Wolfram|Alpha does not understand your query
ChatGPT neither
I have put everything together to use only the 6 variables and Z

https://preview.redd.it/2rwxmvjatqoc1.png?width=1698&format=png&auto=webp&s=737e84632580ba976d81d448af5613c272f872f3

(((Y*(H-(X*(1-Z/100)))*B)/((H-(X*(1-Z/100)))*B+I*((X*(1+Z/100))-A)))/B)*((X*(1+Z/100))-A) =
((Y-((Y*(H-(X*(1-Z/100)))*B)/((H-(X*(1-Z/100)))*B+I*((X*(1+Z/100))-A))))/I)*(H-(X*(1-Z/100))) =
Y
, Solve Z

But there is no way

We are passionate pure logic research team in Tokyo - working on ZFC/NF

I'm currently delving into curve fitting in Python and have come across three different methods: 'lm', 'trf', and 'dogbox'. Each of these methods seems to have its unique characteristics and applications, but I'm finding it challenging to grasp the practical differences between them.

Could someone provide a clear explanation of how 'lm' (Levenberg-Marquardt), 'trf' (Trust Region Reflective), and 'dogbox' differ from each other? Specifically, I'm interested in understanding the scenarios or types of problems where one might be preferred over the others. An example to illustrate the key distinctions and practical applications of each method would be incredibly helpful.

I'm looking for insights that can help me decide which method to use in different curve fitting scenarios. My goal is to achieve the best fit for my data with an understanding of the advantages and limitations of each method.

Thank you in advance for your time and assistance!

((A+(100/(X/B)))/Z-1)*100 = -(((C-(100/(Y/D)))/Z-1)*100)

X+Y=100

X>0

Y>0

Clear X

This is an example

A = 27

B = 1.50

X = 48

Z = 27.50

C = 28

D = 1.625

Y = 52

((A+(100/(X/B)))/Z-1)*100 = 9.545454545

-(((C-(100/(Y/D)))/Z-1)*100) = 9.545454545

What I really want is to get X and Y from the other values

So I want to clear X, but Y must not be in the solution either, so then do Y = 100 - X

I have tried a thousand things and with the help of ChatGPT but I can't get anything

Thanks!

​

https://preview.redd.it/40jq1vxs9onc1.png?width=692&format=png&auto=webp&s=a3248fe2c8e9248fab17a3d0815881529eb111d9

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