Translation of "Einheitsvektor" in English

A vector is a unit vector if its norm is 1.

The frequency axis 210 here is determined by a second unit vector 270 with regard to direction and scaling.

The vector D C and the unit vector n C are parameters which need to be calibrated.

The so-called LOS-vector is a unit vector formula_1 (in the figures shown as a red arrow) pointing from the antenna to a ground scatterer.

The transformed component of the vector which is parallel to the unit vector, is fed to a further controller, the output signal of which represents the amplitude of the vector when the angle coordinate is adjusted.

These normalized voltages serve as transformation elements for a coordinate transformation so that the vector rotator supplies the orthogonal components of the vector in a reference system rotating synchronously with the unit vector at its output.

As a result, the rotating unit vector is slaved to the given vector in such a manner that the angle coordinate in the rotating reference system becomes zero.

Whether, therefore, the unit vector of the system is to correspond in reality to one meter or an Ångström depends on the application.

In the equation, s 0 is a vector through whose end point the straight line G (t) runs, and e is a unit vector that determines the direction of the straight line.

In accordance with the known orientation of each ray in the beam, defined by a singular vector n along the ray, it is always possible to determine the orientation of the beam as a whole, giving it the mean value of n. Let it be assumed that the length of beam propagation in this direction inside the cell equals L, i.e.

You have the identity vector.

With the pivotal movement of a mirror or reflector about an axis which like the above-discussed unit vector is perpendicular to the apparent plane of the path of the sun, the solar rays arriving from the sun can be deflected on to the same target over the entire day.

The two systems scanning unit 2 and receiver 3 can be described by the two fixed right-handed coordinate systems {e 1,e 2,e 3} and {? 1,? 2,? 3}, the respective third unit vector being oriented perpendicularly to the plane of the page in the situation shown by way of example.

Note that for lines, additionally the 3 parameters of the hessian normal form can be queried, i.e., the unit normal vector 'nx' "nx" "nx" "nx" "nx", 'ny' "ny" "ny" "ny" "ny" and the orthogonal distance 'distance' "distance" "distance" "distance" "distance" of the line from the origin of the coordinate system.

When, according to Listing's Rule for the Distance, the eye rotates from the primary position into a certain viewing direction, which is characterized by the main beam components (x,y,z), after the rotation, the new x-direction generally forms a finite angle with the standard vector p i =(p i,x, p i,y, p i,z,) i=1, 2 perpendicular to the refraction plane at the i-th surface.

The plane of that circular orbit can be described in that case by a unit vector which is perpendicular to that plane.

The reference direction R 0 lies in the orientation of the road segment 2, and preferably has a length one (unit vector).

The relative angles 16 are solid angles in three-dimensional space, and each consist of a two-dimensional unit vector with two polar coordinate elements.

In particular, a spherical surface has the special property that every unit vector r (x,y) from the center in the direction of the surface (radial vector) is parallel to the normal vector n (x,y) at this point (see FIG. 3).

In said phase the molecules have an orientational order relative to a so-called “director”, the unit vector of the direction.

The tangential unit vector on the airfoil surface always points in the direction of the sequence of coordinates which run from the trailing edge (starting on the underside) towards the front and run back along the upper side.

The reference direction R 0 is located in the orientation of the road segment 8 and may—although not necessarily—have the length one (unit vector).

The total force exerted by the actuators along the translational degrees of freedom j (with j=1 . . . 3) results as EPMATHMARKEREP where is the unit vector along the respective degree of freedom, i.e. for an x-direction, for example.

The total torque about a respective Cartesian axis j (with j=1 . . . 3) is EPMATHMARKEREP where is now the unit vector along the axis of rotation, i.e. for a Y-rotation, and x represents the symbol for a vector cross-product.

If the cross product between a unit vector and the axis vector ? vanishes, all points on the circular track to be measured then constitute extreme points that, however, need not be taken into account for the further evaluation.