Structure of the Paper Sample Clauses

Structure of the Paper describes a typical gas production system in which back-out occurs. This is used as an example to illustrate the issues associated with back-out. Though a fictitious system it is based on typical production rates and parameters from a real system to ensure it is reasonably representative of equivalent real systems in general. The values of the parameters used to generate the flows, pressures, etc. presented in the various charts are given in Section 6.5.

Structure of the Paper. In the paper, firstly, the main differences between CPPA structures, recognized in the literature, have been outlined; then a proposed LCOE formula is described and finally a numerical application related to a CPPA for a 20MW PV power plant will be reported. Some sensitivity results help to tune the CPPA price in order to take into account the several intrinsic uncertainties characterizing CPPAs.

Structure of the Paper. The aim of section 2 is to describe the PACE protocol from different perspectives: protocol steps, implementation effort, performance and security. Here, only a security argumentation is given. A formal logic and cryptographic proof are beyond the scope of this paper. These issues are still to be found. In section 3 the protocol TP-AMP is presented first. Moreover, this section presents a reduction of TP-AMP (called TC-AMP), a brief security analysis and an implementation of TC-AMP. Finally, in section 4 a comparison of both protocols and a forecast is given.

Structure of the Paper. In Section 2, the syntax of the calculus dtsiPBC is presented. In Section 3, we construct the operational semantics of the algebra in terms of labeled probabilistic transition systems. In Section 4, we propose the denotational semantics, based on a subclass of LDTSIPNs. In Section 5, the corres- ponding stochastic process is derived and analyzed. Step stochastic bisimulation equivalence is defined and investigated in Section 6. In Section 7, we explain how to reduce transition systems and underlying SMCs of process expressions modulo the equivalence. In Section 8, this equivalence is applied to the stationary behaviour comparison in the equivalence classes to verify the performance preservation. In Section 9, the generalized shared memory system is presented as a case study. The difference between dtsiPBC and other well-known SPAs is considered in Section 10. The advantages of dtsiPBC with respect to other SPAs are described in Section 11. Section 12 summarizes the results obtained and outlines the research perspectives.

Structure of the Paper. The proofs of Theorems 1.1 and 1.2 are organized as follows. First, it should be mentioned that following the modern style in descrip- tive set theory based on certain technical advantages, we shall consider the Cantor discontinuum 2ω with a special equivalence relation E0 (see Definition 15.2), instead of the real line R with the Vitali equivalence relation, in a substantial part of the proof.11 It is in this context that Theorems 1.1 and 1.2 will be established in 16 and 18. The original statements of the theorems (as in 1) will be obtained in 17 and 18 by elementary topological arguments. Some notions related to perfect trees in the set of all dyadic strings 2<ω and their finite products (multitrees) are introduced in §§ 3–6. Every set P of perfect trees 10To define such a set X, we first prove that if J1, . . . , Jn is a finite set of pairwise-disjoint closed intervals in R of the form [a, b], a < b, and q is a rational number, then there are smaller intervals Jk' Jk such that (q + Jk' ) Jl' = ∅ for all k = l. (This is clear for n = 2, and then we argue by induction.) Using this claim, we define a system of closed intervals Js in R, indexed by finite dyadic strings s = k1, . . . , kn of numbers ki = 0, 1 of arbitrary length n = lh(s) (including defined, the set X = lh(s)=n Js is as required. the ‘empty’ string Λ of length lh(Λ) = 0) and satisfying the following conditions: (1) if a string s is extended by a string t then Jt ⊆ Js, (2) if s =/ t are strings of equal length then Js ∩ Jt = ∅, and (3) if s /= t are strings of equal length lh(s) = lh(t) = n then (qn + Js) ∩ Jt = ∅, where Q = {qn : n ∈ ω} is aTprSe-defined enumeration of the rational numbers. When such a system is

Structure of the Paper. The aim of section 2 is to describe the PACE protocol from different perspec- tives: protocol steps, implementation effort, performance and security. Here, only a security argumentation is given. A formal logic and cryptographic proof are beyond the scope of this paper. In section 3 the protocol TP-AMP is presented first. Moreover, this section presents a reduction of TP-AMP, called TC-AMP (TC is a shortcut for terminal and card), a brief security analysis and an imple- mentation of TC-AMP. Finally, in section 5 a comparison of both protocols and hints concerning further studies are given.