Sentence examples for vectors left from inspiring English sources

To exploit that the data is split into a set of equal length vectors, (left{ {d_{ k)} } right} in D), e.g., daily, weekly or monthly sequees.

Instead, we notice that the vectors (left. {hat {mathbf {r}}_{x}^{nu }} right |_{nu = nu _{1}}^{nu _{n_{nu }}}) are jointly sparse with regard to the time delay.

And when the graphics are physically unable to get any better (nothing that I saw of PS4 looked meaningfully different to anything that the PS3 can already output) and controller innovation seems to have hit the skids, there's really only two vectors left for console platforms to compete.

Using dictionary learning, we aim to find an overcomplete dictionary (mathbf {D}in mathbb {R}^{dtimes k }) that contains k independent columns referred as the basis vectors, (left { d_{i}right }^{k}_{i=1}).

Analogously to vectors, (left langle a k),b k)right rangle =sum _{k=-infty }^{infty }a k b^ k)) denotes the scalar product between the time series a(k) and b(k).

The trace of D T ( g k ) is equal to the number of basis vectors left invariant since D T ( g k ) is a permutation matrix in the canonical basis.

In some instances, the artist emphasizes the unique linear quality of vectors, leaving the intricate lines of the process clearly visible, like an impasto painter's emphasis on the brushstroke.

In all these cases, the components of a sub-vector (left (X_{k_{1}}^, ldots,X_{k_{d-1}}^right)^{T}) of (left (X_{1}^, ldots, X_{d}^right)^{T}) are independent of each other.

Thus, we can say that any sub-vector (left (X_{k_{1}}^,ldots,X_{k_{d'}}^right)^{T}) of (left (X_{1}^, ldots, X_{d}^right)^{T}) with d ′<d is component-wise independent.

Video-oculography images of the right and left eye (upper) and corresponding ocular alignment represented as gaze vector difference (lower plot, right eye gaze vector – left eye gaze vector) for a short image sequence.

Lacking a compelling case for services, the only vector left to compete on is the one that breaks the console business model once and for all: price.