As noted above, the  \(\kappa_{5,3}\) value is not significantly different from zero and is therefore replaced by zero in all calculations of \(c_5\)

Calculation of T from R, B

We now have what we need to calculate temperature from measurements of resistance in a magnetic field but we need to put the calibration coefficients into a more useful form that won't require us to first rerun the calibration each time we want to calculate the temperature.

mathematical representation

For this purpose, it is convenient to store the calibration coefficients \(\kappa_{i,p}\) and \(\gamma_{i,q}\) in the form of 2D matrices \(\boldsymbol\kappa\) and \(\boldsymbol\gamma\) and \(c_i\left(0\right)\) as the 1D matrix (array) \(\mathbf{c}_0\)
That is, for \(i=0,\ 1,\ ...N\) ,  \(p\ =\ 0,\ 1,\ ...P\) , and \(q\ =\ 0,\ 1,\ ...Q\),  define the following matrices: