The "Integral mathematics model of the track pattern" allows a computer to make a global overview of the whole hit array like a human does it before a reconstruction of the trajectories. It gives the position of the primary intensive vertex, that allows to separate also the hits of multi vertices events (i.e. each vertex gets own set of hits). The whole hit array can be subdivided on the "regions of interest" (in some limits of transversal momentum, for instance) and the reconstruction of trajectories in each region can be done at the more reliable conditions of smaller multiplicity in respect to the total multiplicity. The recognition and analysis of the jets is also possible before the tracking. The ideas have been successfully tested by the D0 Monte-Carlo hits data. All these possibilities simplify the following tracking and could be a base for the future developing of the high-level triggers.