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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]
10 Μαΐ 2023 · We say the function (or, more precisely, the specification of the function) is 'well-defined' if it does. That is, $f : A \to B$ is well-defined if for each $a \in A$ there is a unique $b \in B$ with $f(a)=b$.
4 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.
1 Φεβ 2016 · Let $f(x)$ be a function defined on $\mathbb R^+$ such that $f(x)>0$ and $(f(x))^2=x$, then $f$ is well defined. This means that the statement about $f$ can be taken as a definition, what it formally means is that there exists exactly one such function (and of course it's the square root).
What makes a function "well-defined?" Herndon Math Services. 573 subscribers. Subscribed. 417. 13K views 3 years ago. In this video I explain what makes a function well-defined. I offer...
Given two fractions $\frac{a}{b}$ and $\frac{c}{d}$, we need to show that the addition operation as defined by $\frac{a}{b} + \frac{c}{d} = \frac{ad+bc}{bd}$ is well defined.
In mathematical jargon that developed long before our current understanding of functions as sets of pairs, we refer to a relation whose being a function requires a proof as well-defined.
