Nevertheless, we employ the notation in this article, and some remarks are in order.
We employ the notation in this article when discussing Łukasiewicz's results in propositional calculus and syllogistic.
In this setting, we employ the notation N c − = ∂ J u × J s, N c + = J u × ∂ J s. Definition 2.3 [12.3
While we are not directly concerned with proofs of correctness in this paper, we employ the notation and terminology from the protocol verification community in our discussion of encrypted communication.
In the rest of the paper, we will employ the notation provided in Table 1.
To calculate the expected value of a random variable r, we employ the notation (mathbb {E}{r}).
We will employ the notation (alesssim b) to mean that (aleq cb) for a universal constant (c>0) that only depends on the parameters coming from the problems.
We employ the notation 0 ≤ x ≤ 1 (respectively, 0 ≤ x < 1 ) to signify that the vector x is non-negative and bounded from above (respectively, strictly bounded from above) by 1.
If there exist positive constants (b_{1}) and (b_{2}) such that b_{1}G x leq F x leq b_{2}G x) in the common domain of definition for F and G, then we employ the notation (Fasymp G).
We employed the notation used by MacKinnon (2008) (see Figure 1) where c is the direct effect of the IV on the outcome; b is the effect of the mediator variable on the outcome; a is the effect of the IV on the mediator, and c' is the mediated effect of the IV on the outcome via the mediator variable.
We employ the notation (mathcal {L}_b(E,F)) for the space (mathcal {L}(E,F)) equipped with the topology of bounded convergence and, similarly, (mathcal {L}_p(E,F)) and (mathcal {L}_{sigma }(E,F)) stand for (mathcal {L}(E,F)) equipped with the topologies of precompact and simple convergence, respectively.
