Center of mass rigid body, the gravity forces will not cause the body to rotate, which means the weight of the body can be considered to be concentrated at the center of mass. The linear and angular momentum of a collection of particles can be simplified by measuring the position and velocity of the particles relative to the center of mass. Let the system of particles "P", "i"=1...,"n" of masses "m" be located at the coordinates r with velocities v. Select a reference point R and compute the relative position and velocity vectors, The total linear and angular momentum vectors relative to the
Linear regression linear relationship between the dependent variable and regressors. Thus the model takes the form where denotes the transpose, so that xβ is the inner product between vectors x and β. Often these "n" equations are stacked together and written in matrix notation as where Some remarks on notation and terminology: Example. Consider a situation where a small ball is being tossed up in the air and then we measure its heights of ascent "h" at various moments in time "t". Physics tells us that, ignoring the drag, the relationship can be modeled as where "β" determines the initial velocity of