![]() Often, instead of defining a function, its intuitive description is given that is, the concept of a function is translated into ordinary language using the words “law”, “rule” or “conformity”. The most rigorous definition of a function is the set-theoretic definition (based on the concept of a binary relation). The function that associates each of the four figures with its color. The vector functions were the first to do this Frege soon introduced logical functions (1879), and after the appearance of the theory of the Dedekind sets (1887) and Peano (1911), they formulated a modern universal definition. ![]() īy the end of the 19th century, the concept of function had grown beyond the framework of numerical systems. Finally, the general definition of a function (in modern form, but for numerical functions) was given by Lobachevsky (1834) and Dirichlet (1837). Subsequently, the definition of a function, given by Euler (1751), then - in Lacroix (1806) - was already practically in its present form. Initially, the concept of function was indistinguishable from the concept of analytical representation. In turn, Johann Bernoulli in a letter to the same Leibniz used this term in a sense that is closer to the modern one. ![]() The term "function" (in a somewhat narrower sense) was first used by Leibniz (1692). ![]() These functions are conveniently represented in the figures as graphs. Often, the term “function” refers to a numeric function that is, a function that puts some numbers in line with others. Similarly, some pre-designed algorithm for variable input data produces certain output data. So the value of the variable uniquely determines the value of an expression, and the value of the month uniquely determines the value of the month following it. The mathematical concept of a function expresses an intuitive idea of how one quantity completely determines the value of another quantity. ![]() In other words, a function is a rule according to which each element of one set (called the definition domain) is associated with some element of another set (called a range of values). A function ( mapping, operator, transformation ) is a mathematical concept that reflects the relationship between the elements of a set. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. Archives
December 2022
Categories |