Sentence examples for additionally assume from inspiring English sources

The mathematical description of a solid that follows from these assumptions relies on PDEs that additionally assume sufficient smoothness of the deformation for the PDEs to make sense in their either strong or weak forms.

Many will additionally assume that their primary partner (who may or may not be aware of these extraneous sexual activities) will similarly be buffered from the risk of becoming infected.

In this work, we make progress on this problem by giving the first construction of a multi-theorem NIZK argument from standard lattice assumptions in a relaxed model called the preprocessing model, where we additionally assume the existence of a trusted setup algorithm that generates a proving key (used to construct proofs) and a verification key (used to verify proofs).

We additionally assume that the partitions satisfy the following condition.

In this case we additionally assume that the condition C3 is satisfied.

We additionally assume that the antenna spacing is sufficiently large so that the antennas are uncorrelated.

In order to simplify the notation we additionally assume, without loss of generality, that f = 0.

Moreover, additionally assume that for (alphale1), (EX_{n}=0) for all (nge1).

Moreover, additionally assume that E X n = 0 for all n ≥ 1 if p ≥ 1.

Additionally assume that ∇ k f ( a ) = 0, for k = p, …, m − 1.

We additionally assume that an end-to-end propagation time delay is specified for each channel.