# master-thesis

Input:
 - Vector of Expressions ```expressions::Vector{Expr}```
 - Matrix for the variables of the expression (x1..xn) ```variables::Matrix{Float64}```
 - Vector of Vectors for the parameters of the expression (p1..pn) ```parameters::Vector{Vector{Float64}}```

All expressions have to have the same number of variables. They do not need to appear in the same spot, they only need to be labled x1 through xn. However, they can have a different number of parameters. These can also appear at any given point and must be labled p1 through pn.

The Matrix has to be in a form, where each column corresponds to a variable. So the i-th column corresponds to the variable xi. Each row is another set of variables to use for an expression. For each expression, every row is used to calculate a result.

Every inner vector of the parameters corresponds to an expression. So the i-th inner vector stores the parameter values for the i-th expression. Parameter pi corresponds to the value stored at index i of the inner vector.

The figure below demonstrates how the input data is structured and how they work together. Note that all x1..xn and p1..pn are the markers for the variables and parameters used in the expressions and can have an arbitrary value. Not every p1 needs to have the same value and not every x1 needs to have the ame value.
![Explanation of the input data](images/input-explanation.png)