In computer science, a 4D vector is a 4-component vector data type. Uses include homogeneous coordinates for 3-dimensional space in computer graphics...

(facilitated by the superscalar issue of permutes). Some vector maths libraries align floating point 4D vectors with the SIMD register to leverage the associated...

vector A unit vector in 3D space. 4D vector A common datatype in graphics code, holding homogeneous coordinates or RGBA data, or simply a 3D vector with...

with the group of orientation-preserving isometric linear mappings of a 4D vector space with inner product over the real numbers onto itself. With respect...

areas and anti-aliasing of the edges of opaque regions. Each pixel is a 4D vector. The term does not define what RGB color space is being used. It also...

experiences of everyday life. Single locations in Euclidean 4D space can be given as vectors or 4-tuples, i.e., as ordered lists of numbers such as (x,...

vertex shader pipelines. Each VPU features 32 128-bit vector SIMD registers (holding 4D vector data), 16 16-bit fixed-point registers, four floating point...

commutative. Quaternions provide a definition of the quotient of two vectors in a three-dimensional space. Quaternions are generally represented in...

Cinema 4D is a 3D software suite developed by the German company Maxon. As of R21, only a single version of Cinema 4D is available. It replaces all previous...

"C.O.F.F.E.E") was a computer scripting language that forms part of CINEMA 4D, a proprietary 3D graphics application. Although presented as an acronym the...

normal distribution to higher dimensions. One definition is that a random vector is said to be k-variate normally distributed if every linear combination...

A light field, or lightfield, is a vector function that describes the amount of light flowing in every direction through every point in a space. The space...

that was found necessary to describe electromagnetism. The four dimensions (4D) of spacetime consist of events that are not absolutely defined spatially...

quantity to a spacelike vector quantity, and we have 4d vectors, or "four-vectors", in Minkowski spacetime. The components of vectors are written using tensor...

four-dimensional spacetime. Momentum is a vector in three dimensions; similarly four-momentum is a four-vector in spacetime. The contravariant four-momentum...

symbol {4,3,3} with hyperoctahedral symmetry of order 384. Constructed as a 4D hyperprism made of two parallel cubes, it can be named as a composite Schläfli...

density, with units of charge per unit time per unit area. Also known as vector current, it is used in the geometric context of four-dimensional spacetime...

is the four-velocity of the particle, satisfying u2 = 1 and s is the 4D spin vector, which is also the Pauli–Lubanski pseudovector satisfying s2 = −1 and...

In supersymmetry, 4D N = 1 {\displaystyle {\mathcal {N}}=1} supergravity is the theory of supergravity in four dimensions with a single supercharge. It...

mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors. Considering a scalar...

In mathematics, a super vector space is a Z 2 {\displaystyle \mathbb {Z} _{2}} -graded vector space, that is, a vector space over a field K {\displaystyle...

\right|^{2}\mathbf {\nabla } _{\mathbf {y} },} where y i {\displaystyle y_{i}} is a 4D vector, i = 1 , 2 , 3 , 4 {\displaystyle i=1,2,3,4} , y = ( r , τ ) , | y | 2...

numerical representations called tokens, and each token is converted into a vector via lookup from a word embedding table. At each layer, each token is then...

Julius Wess and Bruno Zumino. The most commonly used supermultiplets are vector multiplets, chiral multiplets (in d = 4 , N = 1 {\displaystyle d=4,{\mathcal...

all possible 4d orbitals (i.e., the 5 states m = −2, −1, 0, 1, 2 and their quantum superpositions) form a 5-dimensional abstract vector space. Rotating...

of change of a vector independently influence only the magnitude or orientation of the vector respectively. Hence, a rotating vector always has a non-zero...

The shapefile format is a geospatial vector data format for geographic information system (GIS) software. It is developed and regulated by Esri as a mostly...

Ten components are identified with the 4D spacetime metric, four components with the electromagnetic vector potential, and one component with an unidentified...

In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field through...

needs to track a target. Consider a rigid body, with three orthogonal unit vectors fixed to its body (representing the three axes of the object's local coordinate...