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_sortIndexAdd(new ListItem(obj, index)); index++; } } else { foreach (T obj in _list) { _sortIndexAdd(new ListItem(_sortByGetValue(obj), index)); index++; } } _sortIndexSort(); _sorted = true; OnListChanged(new ListChangedEventArgs(ListChangedTypeReset, 0)); } If _sortBy is null (which is quite possible, as it is optional), then each child object is sorted as is In other words, it is the value of the child object itself that determines the sort order, rather than any specific property on the child object In this case, DoSort() loops through every item in the original collection, creating a ListItem object for which the key value is the child object itself and the index is the location of the child object within the original collection: foreach (T obj in _list) { _sortIndex.

routines that evaluate formulae given an assignment of variables and that generate the rows of a truth table for a Prop formula. Listing 12-14. Evaluating Propositional Logic Formulae let rec eval (env : Map<Var,bool>) inp = match inp with | Exists(v,p) -> eval (env.Add(v,false)) p || eval (env.Add(v,true)) p | And(p1,p2) -> eval env p1 && eval env p2 | Var(v) -> if env.ContainsKey(v) then env.[v] else failwithf "env didn't contain a value for %A" v | Not(p) -> not (eval env p) | False -> false let rec support f match f with | And(x,y) | Exists(v,p) | Var(p) | Not(x) | False = -> -> -> -> -> Set.union (support x) (support y) (support p).Remove(v) Set.singleton p support x Set.empty

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Add(new ListItem(obj, index)); index++; } This scenario is quite common when creating a sorted view against an array of type string or int, since there s no meaning in setting a _sortBy value for those types For more complex child objects, however, a _sortBy value is typically supplied In that case, a bit of reflection is used to retrieve the specified property value from the child object That property value is then used as the key value for the ListItem object: foreach (T obj in _list) { _sortIndexAdd(new ListItem(_sortByGetValue(obj), index)); index++; } Remember that _sortBy is a SystemComponentModelPropertyDescriptor object corresponding to the key property PropertyDescriptor provides a GetValue() method that retrieves the property value from the specified child object Whether _sortBy is null or not, the end result is a list of ListItem objects in a generic List<ListItem> collection named _sortIndex.

let rec cases supp = seq { match supp with | [] -> yield Map.empty | v::rest -> yield! rest |> cases |> Seq.map (Map.add v false) yield! rest |> cases |> Seq.map (Map.add v true) } let truthTable x = x |> support |> Set.to_list |> cases |> Seq.map (fun env -> env,eval env x) let satisfiable x = x |> truthTable |> Seq.exists(fun (env,res) -> res) let tautology x = x |> truthTable |> Seq.for_all (fun (env,res) -> res) let tautologyWithCounterExample x = x |> truthTable |> Seq.tryfind (fun (env,res) -> not res) |> Option.map fst let printCounterExample = (function None -> printfn "tautology verified OK" | Some env -> printfn "tautology failed on %A" (Seq.to_list env)) The types of these functions are as follows:

The List<T> class provides a Sort() method that sorts the items in the list Since ListItem implements IComparable<T>, that interface is used to order the sort, meaning that the items end up sorted based on the key property value in each ListItem object Since sorting changes the order of items in the list, the view object s ListChanged event is raised to tell data binding that the view collection has effectively been reset Keep in mind that the original collection is entirely unaffected by this process, and doesn t raise any events due to the sort being applied..

Note There s a lot of confusion surrounding the difference between the <abbr> tag and the <acronym> tag. An abbreviation is any shortened version of a word or phrase. An acronym is an abbreviation that is spoken as a single word. DOM is an acronym if you are saying it as a word, dom , rather than saying each letter, D.O.M. All acronyms are abbreviations, but not all abbreviations are acronyms. As a result, the <acronym> tag has become obsolete in HTML5, and <abbr> should be used instead.

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