However, a terminological difference arises in the expression mean squared error (MSE). The mean squared error of a regression is a number computed from the sum of squares of the computed residuals, and not of the unobservable errors. If that sum of squares is divided by n, the number of observations, the result is the mean of the squared residuals.
Heisenberg Uncertainty Principle. Heisenberg, a German scientist stated the principle of uncertainty which is a consequence of dual nature of matter and waves. The Heisenberg uncertainty principle states that it is impossible to find the position and momentum (velocity) of an electron at the same moment. Mathematical representation of this is as follows: \( \triangle x Ã \triangle v_x \geq \frac{h}{4\pi m}\)
The Pauli exclusion principle can be stated as two electrons cannot occupy the same energy state, but this is really only a rough way of stating it. It's more precise to say that the wavefunction of a system is anti-symmetric with respect to exchange of two electrons.he Pauli exclusion principle states: $$\Psi(e_1, e_2) = -\Psi(e_2, e_1)$$. that is if you swap the two electrons $\Psi$ changes to $-\Psi$. But suppose the two electrons were exactly the same.