Translation for 'zero vector' from English to Russian

zero vector

нулевой вектор {м}мат.

• That is, it is not possible to obtain a non-zero vector in the same direction as the original.
• If an orthonormal basis is to be produced, then the algorithm should test for zero vectors in the output and discard them because no multiple of a zero vector can have a length of 1.
• ... the vector field is equal to the zero vector at the point "p"), then the particle will remain at "p".
• Hamilton also called vector quaternions right quaternions and real numbers (considered as quaternions with zero vector part) scalar quaternions.
• Since a linear map preserves zero vectors, the zero vector 0"V" of "V" must belong to the kernel. The transformation "T" is injective if and only if its kernel is reduced to the zero subspace.

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• Comparing this with the latter equation gives V1•V2 = 0, so they are perpendicular unless V1 is the zero vector (which occurs if and only if the collision is head-on).
• contains only the zero vector. If [...] is a function with finite domain it is sufficient to look through the list of images of each domain element and check that no image occurs twice on the list.
• This may be seen by writing the zero vector 0"V" as [...] (and similarly for 0"W") and moving the scalar 0 "outside", in front of "B", by linearity.
• The annihilator of the zero vector is the whole dual space: [...] , and the annihilator of the whole space is just the zero covector: [...].
• of vectors is linearly independent if the only way to express the zero vector as a linear combination of elements of [...] is to take zero for every coefficient [...].

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• In the following definitions, [...] is the transpose of [...] , [...] is the conjugate transpose of [...] and [...] denotes the "n"-dimensional zero-vector.