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Description:
From $n$ non-linear equations with $x_{1},..., x_n$ unknown variables a multivariate system of nonlinear equations with
dimensional compatibility can be expressed:
LaTeX parsed (Mobile):
The solution is found when the difference is 0 (10 iterations approx.)
if $N = N-1$ the equation can be rewritten from the solution of the integral as:
$$F = \frac{b-a}{N-1} \sum_{i=0}^N f\left(x_i\right)$$
But Montecarlo estimations for $N$ random variables $X \sim U(a,b)$ must include the error $\xi$. $\therefore$, the estimator can be expressed with the solution of the integral for all possible errors $\xi \in$$(0,1]$$\rightarrow$$a = b$ :