What Is Well Defined In Math

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What Is Well Defined In Math

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Conditions Of A Well behaved Wave Function In Quantum Mechanics PhD

All functions are well defined but when we define a function we don t always know without doing some work that our definition really does give us a function We say the function or more precisely the specification of the function is well defined if it does That is f A B f A B is well defined if for each a A a A Ultimately, well-defined means simply: defined, however in a special kind of defining functions. Namely, we want to define a map $f\colon A\to B$ in terms of given maps $ g\colon C\to A$ and $h\colon C\to B$ .

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What Is Well Defined In MathWell-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. The term well defined as oppsed to simply defined is typically used when a definition seemingly depends on a choice but in the end does not In most but not all cases this applies to the definition of a function f colon A to B in terms of two given functions g colon C to A and h colon C to B For a in A we want to

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