Starting from a one-dimension wave pulse we present an auxiliary integral which relate to the proving of uncertainty principle for a pair of conjugate measurable variables, and finally we generalize it to an auxiliary integral which relates to the strict proving of uncertainty principle for two arbitrary mechanical variables.

In this paper, we establish the factor analysis model for 19 observation variables which reflect the tertiary level , construct 4 representative common factors according to the principle that use the least factors to depict the expected quantities of information and take the variance contribution as the scale, give a reasonable name interpretation by use of the rotation of load factor matrix.

When there exist multiple correlations among the factors in the model and variables which must be explained but cannot measured directly,and when the satisfaction degree of observation variables appears the shape of skewness or two or three peaks,the partial least squares(PLS) model c.