Sentence examples for sets of derivations from inspiring English sources

Furthermore, we discuss the relation between ideals and fixed sets of derivations in lattices.

Now, using fixed sets of derivations, we give a condition by which a lattice becomes a modular lattice.

Moreover, we introduce the fixed set of derivations in lattices and prove that the fixed set of a derivation is an ideal in lattices.

In Section 4, we introduce the fixed set of derivations and get some interesting properties of them.

At first, design considerations on the transition curves including their geometric features and requirements of kinematics and dynamics are discussed, and a set of derivation constraints are formulated.

We adopted the set of derivation patterns proposed by (Pimentel et al. 2014).

Let L S0) be a set of derivation structures over S0 together with a justification J. Let v be an assignment of S-formulas to propositional variables.

In the first stage, a set of elementary periodic patterns (mathcal {P}_e) and a set of derivation rules described earlier are used to discover a set (mathcal {P}) of more complex periodic patterns.

Finally, we can see that the set of fixed sets of isotone derivations has the same structure as the set of isotone derivations in distributive lattices.

Using the fixed sets of isotone derivations, we establish characterizations of a chain, a distributive lattice, a modular lattice and a relatively pseudo-complemented lattice, respectively.

That is, is the set of optimal derivations, and is the set of non-optimal derivations with cost as close to optimal as possible.