Sentence examples for exists a bound from inspiring English sources

Finally, we consider the problem when the host switches are distance-bounded, i.e. there exists a bound on the maximum distance k along the host tree to which a parasite can jump.

Stillman's question asks whether or not there exists a bound on the projective dimension of a homogeneous ideal in a polynomial ring which only depends on the number of generators of the ideal and their degrees.

Another limitation is the capacity of the channel, due to the bandwidth and the contact duration, there exists a bound of maximal amount of data that could be transmitted, which also applies in the dense case.

If there exists a bound state and the corresponding on-shell condition, in Euclidean space P 2 = − M 2, is met, the properties of the bound state are described by the pole residues of Eq. (1).

This condition is: for  x, y ∈ X  there exists a lower bound or an upper bound.

Clearly, ((C[0,T],leq)) satisfies the following condition (see [24]): mbox{for } x,yin X mbox{ there exists a lower bound or an upper bound}.

In what follows, we give a sufficient condition for the uniqueness of a fixed point in Theorem 1 which runs as follows: (A) for every x, y ∈ X, there exists a lower bound or an upper bound.

In [18], it is proved that condition (A) is equivalent to the following one:   (B) for every x, y ∈ X, there exists z = c ( x, y ) ∈ X for which ( x, z ) ∈ X ⪯ and ( y, z ) ∈ X ⪯.  . for every x, y ∈ X, there exists a lower bound or an upper bound.

This raises the question if there exists a small bound on the circuits or programs.

This size decreases monotonically with respect to the cost of link formation and there exists a lower bound on the size of the dominant group for non-empty networks.

Furthermore, if the set of plants is compactness, we show that there exists a uniform bound on the degree of suboptimal solution for all plants in the set such that their deviation of suboptimal value from the optimal one have the same bound, and the two-block ℓ1 suboptimal design is uniformly continuous.