When this occurs the brain can no longer exclude alternative spatial vectors.

Spatial vectors alone are not sufficient to describe fully the properties of rotations in space.

Unlike spatial vectors, spinors only transform "up to a sign" under the full orthogonal group.

The spatial vector and tensor undergo further decomposition.

Any spatial vector field that transforms such that:

It was Tuluk's thought that the alignment might point toward some spatial vector, giving a clue to Abnethe's hideout.

Clearly the geometry of spatial vectors alone is insufficient to express the orientation entanglement (the twist of the rubber bands).

GeoMedia - Microsoft Access based format for spatial vector storage (by Intergraph)

Many operations on vectors can be defined in terms of quaternions, and this makes it possible to apply quaternion techniques wherever spatial vectors arise.

Depending on the situation, delta-v can be either a spatial vector (Δv) or scalar (Δv).

In other words, the remaining spatial vectors are spinning about (i.e. about an axis parallel to the axis of cylindrical symmetry of this spacetime).

Spatial vectors in STA are denoted in boldface; then with the -spacetime split and its reverse are:

Optical vector solitons can be classified into temporal vector solitons and spatial vector solitons.

In the figure, the magenta curve shows how the spatial vectors are spinning about (which is suppressed in the figure since the Z coordinate is inessential).

This more general type of spatial vector is the subject of vector spaces (for bound vectors) and affine spaces (for free vectors).

Functions, for instance, can be added together or multiplied by constant scalars, and these operations obey the algebraic laws satisfied by addition and scalar multiplication of spatial vectors.

The principal reason why is easy to spot: in this frame, each Hagihara observer keeps his spatial vectors radially aligned, so rotate about as the observer orbits around the central massive object.

Spinors are like vectors and tensors in that their definition includes their transformation properties, although unlike tensors, the space of spinors cannot be built up in a unique and natural way from spatial vectors.

In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or - as here - simply a vector) is a geometric object that has both a magnitude (or length) and direction.

For example, if a camera were to record a gesture, the agent would process the percepts, calculate the corresponding spatial vectors, examine its percept history, and use the agent program (the application of the agent function) to act accordingly.

An element of a k-dimensional vector space, especially a four-vector is used in relativity to mean a quantity related to the four-dimensional spacetime, and in analogy, the term three-vector is sometimes used as a synonym for a spatial vector in three dimensions.

In Euclidean space, there is a unique circle passing through any given three non-collinear points P, P, and P. Using Cartesian coordinates to represent these points as spatial vectors, it is possible to use the dot product and cross product to calculate the radius and center of the circle.