Määrittelyjoukko
Määrittelyjoukko, or "domain" in English, is a fundamental concept in mathematics and logic, particularly within the study of functions. It refers to the set of all possible input values for which a function is defined. In other words, it specifies the range of permissible inputs that the function can accept without becoming undefined.
When defining a function, the domain is explicitly or implicitly stated to clarify which values are valid.
In set theory, the domain is often denoted as the first set in a function's ordered pair
The concept of määrittelyjoukko is crucial in ensuring precise mathematical communication, as functions can behave differently
In practical applications, such as computer programming or data analysis, the domain helps define the scope