By Vandenbussche D., Nemhauser G. L.

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Extra resources for A branch-and-cut algorithm for nonconvex quadratic programs with box constraints

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Data description is therefore expressed at the type level . One way to describe a data type is to use mathematical definitions, as for the real numbers . Abstract data-type specifications is another way . Data models are used as structural forms of specifications by database specialists ; from these models are derived the tools used to implement the objects in an actual system . 3 Data model Set of concepts with associated composition rules used to-specify the structure of a database . While theorists often use logic to understand a data model, most practitioners use a graphical representation that allows the user to visualize the object types and the links between these types .

Different people may see different entities and relationships ; however, an entity always represents a real-world object, event, or person, and a relationship indicates an association between two or more entities [Chen76] . Both entities and relationships are described by specific data items corresponding to adjectives or complements in natural language sentences . Such properties of entities and relationships are called attributes . The set of sentences Drinkers drink wines in certain quantities at Riven dates .

X,,X,, . . Xk ) is a sequence of keys in ascending order . Each key Y of K(P0) is inferior to X, . Each key Y of K(Pi) is within Xi and X; + , . Each key Y of K(Pk) is superior to Xk . Fig . 18 is an example illustration of a B-tree index of order 2 . This B-tree contains key values ranging from I to 25 . Solid lines represent internal pointers, and nonsolid lines represent external pointers . PO X1 al P1 x2 a2 P2 xi ai Pi xk ak Pk Pi = internal pointer representing the tree ; the leaves do not contain such pointers ; ai = external data page Pointer ; xi = key value .

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