Alphabet Sample Clauses

Alphabet. When the Alphabet index has contents, the index letter appears in black. Alphabet index can be index by Display Name and by Company. To select it, go to Tool\Setting\ Field Setting\Alphabet index settings menu. When select by Display Name, the contacts will be index by Display name. When select by Company, the contacts will be index by Company name. If the Display name or Com- pany name is not English, the contact will be put in . Chapter 3 Overview 3-3

Alphabet. DC ≥ Our model of continuous time introduces observational variablesti,ti � :R 0 that define the start and end time of the current computation interval, as in [58]. We also introduce the expression�to denote the duration of the current interval, where�� ti � −ti. As already said, the alphabetised relational calculus divides the alphabet into input variables inα(P), and output variables, outα(P). Inspired by [27], we add a further ∩ ∪ ∅ ∈ subdivisionx ,y ,z conα(P), the set of continuous variables, that is orthogonal to the discrete program variables, that is conα(P) (inα(P) outα(P)) = . The elements of conα(P)are the variables to be used in differential equations and other continuous constructs. We assume that all variables consist of a name, type, and optional decoration. For example, the name in the variablesx,x �, andx is the same –x– but the decorations differ. We introduce the distinguished continuous variablet that denotes the current instant in an algebraic or differential equation. An alphabetised predicatePwhose alphabet can be so partitioned, i.e.α(P) =inα(P)∪outα(P)∪conα(P), is called ahybrid relation. Continuous variables come in two varieties that allow us to talk about a particular instant or about the whole time continuum: • instant variables – these are continuous variables of typeRthat refer to the value at a particular instant; • ≥ → trajectory variables – these are time-dependent variables of typeR 0 Rand give the values over a whole trajectory. Trajectory variables are total rather than partial functions. This has the advantage that composition operators need not consider explicit combination of trajectories through overriding. Instead, composition further constrains the trajectory functions, potentially over disjoint time domains (as is the case for sequential composition). Valuations of the trajectory exist outside[ti,ti �), but they have no relevance. ≥ → We require that each trajectory variablex :R 0 Ris accompanied by discrete before and after “copy” variables with the same name –x,x � :R– that record the values at the start and limit of the current interval. This, crucially, allows us to use the standard operators of relational calculus for manipulating continuous variables via discrete copies. This allows us to consider the set of purely discrete variables that are not discrete copies of a continuous variable: disα(P) ={x∈inα(P)|x /∈conα(P)}∪{x � ∈outα(P)|x /∈conα(P)} We introduce the following @ operator borrowed from [11] that lift...