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In particular, the term well-defined is used with respect to (binary) operations on cosets. In this case, one can view the operation as a function of two variables, and the property of being well-defined is the same as that for a function. For example, addition on the integers modulo some n can be defined naturally in terms of integer addition.
Scholars distinguish between well-defined and ill-defined problems. Briggs and Reinig defined a well-defined solution in terms of space solution space. Pretz, Naples, and Sternberg defined a well-defined problem as one for which the parts of the solution are closely related or clearly based on the information given.
Well-defined problems have specific end goals and clearly expected solutions, while ill-defined problems do not. Well-defined problems allow for more initial planning than ill-defined problems. [ 2 ] Solving problems sometimes involves dealing with pragmatics (the way that context contributes to meaning) and semantics (the interpretation of the ...
On the other hand, Division is non-associative, and in the case of / /, parenthesization conventions are not well established; therefore, this expression is often considered ill-defined. Unlike with functions, notational ambiguities can be overcome by means of additional definitions (e.g., rules of precedence , associativity of the operator).
A computation is any type of arithmetic or non-arithmetic calculation that is well-defined. [1] [2] Common examples of computation are mathematical equation solving and the execution of computer algorithms. Mechanical or electronic devices (or, historically, people) that perform computations are known as computers.
Designing deals with design problems that can be categorized on a spectrum of types of problems from well-defined problems to ill-defined ones to problems that are wickedly difficult. [14]: 39 In the 2010s, the category of super wicked global problems emerged as well. [15]
let f be a function bla bla bla; you need to show f exists. some functions clearly exist; but that doesn't mean you can't show it exists. for instance, let f be a function that multiply 2 to its argument x; that's clearly a function; but you can show it is exists; if exists, then its name --- f --- is well-defined. here's something ill-defined ...
Fallacies of definition are the various ways in which definitions can fail to explain terms. The phrase is used to suggest an analogy with an informal fallacy. [1] Definitions may fail to have merit, because they are overly broad, [2] [3] [4] overly narrow, [3] [4] or incomprehensible; [4] or they use obscure or ambiguous language, [2] contain mutually exclusive parts, [3] or (perhaps most ...