It may be also called a displacement vector if "'p "'and "'q "'represent two positions of the same point at two successive instants of time.
32.
In an affine space, there are instead " displacement vectors ", also called " translation " vectors or simply " translations ", between two points of the space.
33.
In this case, the elements of the vector space may be viewed either as " points " of the affine space or as " displacement vectors " or " translations ".
34.
The vector joining the positions of a particle in the undeformed configuration P _ i \, \ ! and deformed configuration p _ i \, \ ! is called the Lagrangian description of the displacement vector:
35.
If the force is perpendicular to the displacement vector "'r "', the moment arm will be equal to the distance to the centre, and torque will be a maximum for the given force.
36.
In geometry, the "'line element "'or "'length element "'can be informally thought of as a line segment associated with an infinitesimal displacement vector in a metric space.
37.
Where \ vec u ( \ vec r ) is the displacement vector field, and \ vec s _ 0 and \ vec s _ { h } are the directions of the incident and diffracted beam, respectively.
38.
Finally, for a better understanding of the Eckart frame it may be useful to remark that it becomes a principal axes frame in the case that the molecule is a rigid rotor, that is, when all " N " displacement vectors are zero.
39.
In which ? i is the relative permittivity along the x, y, or z axis, and R is the reduced displacement vector defined as D i / " 8?W in which D i is the electric displacement vector and W is the field energy.
40.
In which ? i is the relative permittivity along the x, y, or z axis, and R is the reduced displacement vector defined as D i / " 8?W in which D i is the electric displacement vector and W is the field energy.
