Αποτελέσματα Αναζήτησης
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).
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]
5 ημέρες πριν · 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 abc (the product) is well-defined if a, b, and c are integers.
17 Αυγ 2020 · To show that + is well-defined, we need to show: a/b + c/d= a’/b’ + c/d, if a/b = a’/b’, for any a, b, c, d, a’, b’ ∈ Z. If a/b = a’/b’, following the definition of fractions, ab’ = a’b....
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.
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 ¯ a1 = ¯ a2 and ¯ b1 = ¯ b2, then we need to know that. ¯ a1 + n ¯ b1 = ¯ a2 +n ¯ b2, ¯ a1 −n ¯ b1 = ¯ a2 − n ¯ b2, and. ¯ a1 ×n ¯ b1 = ¯ a2 ×n ¯ b2.
A set is a well-defined collection of objects, whose elements are fixed and cannot vary. It means set doesn’t change from person to person. Like for example, the set of natural numbers up to 7 will remain the same as {1,2,3,4,5,6,7}.
