null vector

(redirected from Non-zero vector)

null vector

[′nəl ′vek·tər]
(mathematics)
A vector whose invariant length, that is, the sum over the coordinates of the vector space of the product of its covariant component and contravariant component, is equal to zero.
(relativity)
In special relativity, a four vector whose spatial part in any Lorentz frame has a magnitude equal to the speed of light multiplied by its time part in that frame; a special case of the mathematics definition.
References in periodicals archive ?
Every non-zero vector v [member of] X is cyclic for A and every non-zero functional [phi] [member of] X' is cyclic for [A.
And here's some linear algebra, for those not listening at the back: "A scalar lambda for which there exists a non-zero vector V such that M multiplied by V equals lambda times V.
For a non-zero vector x [member of] V \ {0}, let [?
The proof is based on the fact that a number k is an eigenvalue of A if A times X is equal to k times X for some non-zero vector X.
Then a non-zero vector (x,y) is referred to as a proper vector (eigenvector, characteristic vector) of A if it satisfies the equation
For any non-zero vector a [member of] E, we have 5(a) = 0,5(6o) = 1,5(0) = 1 and 5(0, f) = 1.
The angle difference each sector is 30o There are twelve zero vectors V1-V12 and two non-zero vectors V0 and V7.
If non-zero vectors are indicated by the tests, a stationary long-run relationship exists among the variables.
If non-zero vectors are indicated by these tests, a stationary long run relationship exists among the variables.
by identifying the non-zero vectors differing from each other by a real factor, Geometrically PTM is the space of line elements on M.
t] + 1 t-dimensional vector subspaces, which then forms an exact cover of the non-zero vectors of [V.