Sentence examples for hence guarantees that from inspiring English sources

The proposed method is based on a correct-by-construction control synthesis method, and hence guarantees that the resulting closed-loop system will satisfy the desired specifications.

To obtain an optimal control law, the proposed approach is developed rigorously by using Hamilton Jacobi Bellman (HJB) equation, Lyapunov technique, and inverse optimality, and hence guarantees that the chaotic drive network synchronizes with the chaotic response network influenced by uncertain noise signals.

Let us assume, then, that an idealized deductive proof provides one kind of security: the transparency of each step ensures the validity of the argument as a whole, and hence guarantees that if the premises are all true then the conclusion must be true.

For the second projection step, we select the projection onto the intersection of the set C with the halfspaces, which makes an optimal stepsize available at each iteration and hence guarantees that the next iteration is the 'closest' to the solution set.

Binding of data refers to encrypting data with a TPM key and hence guaranteeing that the data only is accessible by this specific TPM instance.

Hence it guarantees that the result of an architecture transformation is the same as the corresponding transformation of the composed sub-specifications.

Hence, induction guarantees that ∥ x n − x ∥ ≤ ∥ x 0 − x ∥ ( n ∈ N ).

Hence, Theorem 3.2 guarantees that (gx=gomega), which means that (omega=gx=gomega).

The set is bounded, so as Now the demiclosedness of at guarantees that and hence.  .

Hence, Corollary 19 guarantees that T has a unique fixed point (which is (z=0)).

The assumption that I, the number of distinct alleles at the locus, is finite guarantees that HT > 0 (and hence, HS > 0 because HS ≥ HT).