Sentence examples for labels such that from inspiring English sources

Thus, we have to rearrange these labels such that the clusters with similar centers have the same label.

Let Q be a set of incompatible quartets over n labels such that every proper subset of Q is compatible, and let r= n−2.

We show this bound is tight by exhibiting, for every n≥3, a set of n−1 triplets over n labels such that R is incompatible, but every proper subset of R is compatible.

We show that for every n≥4, there exists a set Q of quartets over a set of n labels such that all of the following conditions hold. 1. Q is incompatible.

We have shown that for every r≥2, f (r ) ≥ r 2 · r 2 + 1, by showing that for every n≥4, there exists an incompatible set Q of n − 2 2 · n − 2 2 + 1 quartets over a set of n labels such that every proper subset of Q is compatible.

Our lower bound on f(r) is proven via a result on quartet compatibility that may be of independent interest: For every n≥4, there exists an incompatible set Q of Ω(n) quartets over n labels such that every proper subset of Q is compatible.

When there are multiple depth layers, DDPs might overlap and produce inconsistent foreground-background labeling, such that a pixel-labeled background in one DDP might be labeled foreground in another DDP.

The boxes have been incorrectly labeled such that no label identifies the actual contents of the box it labels.

The specimens are labeled such that the cross section shapes and thickness of the sections could be identified, as shown in Table 4.

Hence, for the input image, the binarization function, is the Cartesian product of terms, is the number of co-occurred features, and is the class label such that is a face object and is a nonface.

Consequently, at the root r of the expression tree, which corresponds to the complete expression, all vertices must have the same label such that the root of the tree is equal to the unlabeled graph (mathcal {G}).