Sentence examples for generalized position from inspiring English sources

The general Hamiltonian is a function with respect to n generalized position coordinates and n generalized momentum coordinates, and the motion characteristics of a dynamic system without dissipation can be described by a set of Hamilton's equations, frac{{{text{d}}q_{i} }}{{{text{d}}t}} = frac{partial T}{{partial p_{i} }}(q_{1},q_{ 2} ldots,q_{n},p_{1},p_{ 2}.

Americans would be well served to take Michael Ignatieff's lead (The Way We Live Now, March 14) and spend more time understanding specific issues and forming individual opinions and less time defending the generalized position of their favorite team (i.e., Republicans or Democrats).

The Lagrangian formulation is an explicit function of the coordinates (mathbf{{q}}_{i}) and (dot{mathbf{{q}}}_{i}), however, the Hamilton formulation is an explicit function of the coordinates (mathbf {{q}}_{i}) and (mathbf{{p}}_{i}) are the generalized position and generalized momentum, respectively.

First, the phase space is described in terms of generalized position coordinates qj together with their conjugate momenta pj.

The degrees of freedom xn are coordinates on the phase space of the system and are therefore commonly subdivided into generalized position coordinates qk and generalized momentum coordinates pk, where pk is the conjugate momentum to qk.

However, as periodic seeds maintain full sensitivity when generalized, these empty positions are not required.

This approach can be generalized and extended to position genes or chromosomal domains within other nuclear compartments thereby greatly facilitating the analysis of nuclear structure and its impact on genome activity.

Also, the present results cannot be generalized to other shoulder positions since the method has only been tested in three arm positions.

Racine's scale was used to score the seizure activity such as stage 0: no response; stage 1: ear and facial twitching; stage 2: convulsive wave through the body; stage 3: myoclonic jerks, stage 4: clonic-tonic convulsions, turnover into side position; stage 5: generalized clonic-tonic seizures, loss of postural control.

At the same time, Ecuador has staked out a fallback position, petitioning to include roses, frozen broccoli and canned artichokes in a separate trade program, the Generalized System of Preferences.

Once Kepler supplied the conception of an ellipse to the observed members of the class of Mars' positions, he generalized it to all members of the class, including those which were unknown (unobserved), to reach the conclusion that "all the points of Mars' orbit lie on an ellipse with the sun at one focus".