The other approach uses

null vectors [l.sub.a] (i.e., [l.sup.2] = 0) and leads to the following scalar equation:

We can observe that this matrix is not square as expected; however, it has

null vectors:

Let ([bar.M], [bar.g]) be null geodesically complete spacetime obeying the null energy condition [bar.Ric](X, X) [greater than or equal to] 0 for all

null vectors X such that the hypothesis of Theorem 1 holds.

In practice, just one refinement step is necessary to fully tighten the

null vectors.

Vectors i and 64 are

null vectors, which generate zero voltage in the output.

In Minkowski 3-space, a spacelike curve whose principal normal N and binormal B are

null vectors is called pseudo null curve [2].

(ii) two

null vectors are orthogonal if and only if they are linearly dependent;

Therefore, our calculations do not contain

null vectors.

As g(x(0), [u.sub.y]) = 1, the plane P in [T.sub.y]M, spanned by the

null vectors x(0) and [u.sub.y] (cf.

* An intermediate loop in i, running from b to b + d + 1 at most, in which [A.sub.ii] is determined and in which the

null vectors of [H.sub.b] of degree i - 1 are calculated.

To be specific, let us introduce a complete orthogonal set of

null vectors [n.sub.(x)] = (1,1,0,0), [n.sub.(y)] = (1,0,1,0), and [n.sub.(z)] = (1,0, 0,1), as well as a set of orthonormal spacelike vectors [d.sub.(x)] = (0,1,0,0), [d.sub.(y)] = (0, 0,1,0), and [d.sub.(z)] = (0,0, 0,1).

Otherwise, a possible set of eigenvectors (w, [W.sup.-1] Aw) is defined by n - m vectors w that are linearly independent

null vectors of a, and s additional

null vectors of YA that are not

null vectors of A, that is, w satisfies 0 [not equal to] aw [member of] null(Y).