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A course in probability and statistics by Charles J.(Charles J. Stone) Stone

By Charles J.(Charles J. Stone) Stone

This author's sleek technique is meant basically for honors undergraduates or undergraduates with an excellent math historical past taking a mathematical data or statistical inference path. the writer takes a finite-dimensional practical modeling perspective (in distinction to the traditional parametric process) to bolster the relationship among statistical conception and statistical method.

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Any OCL expression may be included in the graphical notation of, for example, a UML class diagram. In order to enhance readability, we use a textual description for OCL expressions. For these textual descriptions, each OCL expression must be preceded by a context. In the case of an invariant, the context of the OCL expression is a class, whereas for preconditions and postconditions the context is a method. = null The above example shows that access to the members of a class is possible. = null 42 3 Contracts and Analysis The above example models the aspect that BankAccount objects must always contain a reference to a customer object in order to perform valid operations.

Assertions are formulated in a similar way to those expressed in previous sections of this book. - Special features: ContractJava supports behavioral subtyping in the sense that the elaborator checks whether a type really is a behavioral subtype of another type. - Reference: [Findler01]. - Status: Experimental work, which will probably be continued. iContract: - Type of support: A preprocessor that generates Java code, which is passed to the standard Java compiler after preprocessing. - Overview: Assertions are described as documentation for a method or class (for invariants) using special documentation tags.

Fig. 10. Operations on collections with variable meaning While the operations specified in Fig. 9 are side effect free by their nature, some of the operations specified in Fig. 10 (union, including, excluding, and intersection) change collections. Nevertheless, in OCL these operations are side effect free, as these operations always work on a copy of the original collection. Two examples (that express the same semantics) of the use of some of the operations defined in Fig. 2 Contracts and UML 45 Customer::addBankAccount(a: BankAccount) post: accounts->excluding(a) = accounts@pre Customer::addBankAccount(a: BankAccount) post: accounts@pre->including(a) = accounts Besides these general operations on any collection (with some restrictions, as explained in Fig.

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