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6 Ιαν 2021 · It means that the result is the same when a different representative of the same equivalence class is chosen. Here is an example of an operation that is not well-defined: For a rational number p q p q (where p, q p, q are integers and q ≠ 0 q ≠ 0) we could try to define. T(p q):= p + 1 q + 1. T (p q):= p + 1 q + 1.
In mathematics, a well-defined expression or unambiguous expression is an expression whose definition assigns it a unique interpretation or value. Otherwise, the expression is said to be not well defined, ill defined or ambiguous. [1]
Mathematicians define mathematical objects, and if the definition is syntactically correct, the objects are always “well-defined”. What may happen, however, is that the defined object is not a function.
5 ημέρες πριν · Well-Defined. An expression is called "well-defined" (or "unambiguous") if its definition assigns it a unique interpretation or value. Otherwise, the expression is said to not be well-defined or to be ambiguous. For example, the expression (the product) is well-defined if , , and are integers.
18 Οκτ 2021 · The discussion of modular arithmetic ignored a very important point: the operations of addition, subtraction, and multiplication need to be well-defined. That is, if \(\overline{a_{1}}=\overline{a_{2}}\) and \(\overline{b_{1}}=\overline{b_{2}}\), then we need to know that
NCERT Solutions of Class 10 Maths list comprises all the chapter-wise answers to the questions present in the NCERT Book for Class 10 Maths, written in a very precise and lucid manner, maintaining the objective of textbooks.
27 Μαΐ 2024 · Well-defined means, that anyone should be able to tell whether the object belongs to the set or not. Note: The term ‘well defined’ should be taken care of, as if we try to make a set of best players, then the term ‘best’ is not well defined.
