Sentence examples for completeness of the system from inspiring English sources
Roughly speaking, this theorem enables the logician to reduce an infinite set X to a finite subset X1 in each individual case, and the case of entailment when X1 is finite is taken care of by the completeness of the system.
The analog of Levinson's well-known theorem [18] on the completeness of the system of exponents is valid in this case as well.
To assess the effectiveness of an ontology debugging system, we first propose a method to construct the reference justification sets and define the degrees of correctness and completeness of the system.
end{aligned} (19) The completeness of the system ({E_{i}(x) }_{igeq0}) is equivalent to the following property as m tends to infinity: u_{m}(x longrightarrow u(x),qquad e_{m,w}=biglVert e_{m}(x bigrVert _{rho}longrightarrow0.
The completeness of the system ({E_{i}(x) }_{igeq0}) helped us to consider the error as e_{m,rho}^{2}=BigglVert sum_{i=m+1}^{infty}a_{i}E_{i}(x) BiggrVert _{rho}^{2}.
Similarly to the previous case, we can show that the operator T ˜ f = ∑ n v n ( f ) ( e i λ n t − e i μ n t ), ∀ f ∈ L p t, is bounded in L p t. Introducing the new system { e i ω n t } n ∈ Z in the same manner we establish the completeness of the system (1) in L p t, if λ i ≠ λ j for i ≠ j.
In the MCS literature, accounting control frameworks and the concept of the control package offer different views on the components comprising control systems but little guidance for assessing the completeness of the systems or the effectiveness of the control being delivered.
That all instances of BF are derivable from the system of axioms and rules of SQML follows immediately from the semantic completeness of that system relative to the semantics of SQML.
These small roads were often private ones originally, and once brought into the Roman fold, lent a level of pervasiveness or completeness to the system that even the mighty road-builders could not hope to have achieved on their own.
Moreover, we show minimality and completeness of the corresponding system of eigenvectors and associated vectors.
In what follows, we will prove the completeness of the eigenvector system ({u_{k},v_{ k} mid kinLambda}) of H in the CPV sense.
