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Function concept

The concept of function is central to all of mathematics and also plays an important role in applications of mathematics in science, technology, economics, and society - do my homework for me . Its development to the form in use today has taken centuries. The names of famous mathematicians are closely associated with this process: Leibniz used the word function for the first time in 1692, from Johan Bernoulli comes the first definition and also Euler contributed to the specification.

By a function f one understands an unambiguous assignment - matlab homework help (mapping), which unambiguously assigns to each element x from a set D an element y from a set W. D is called the domain of definition, W the domain of values of the function f. One calls x∈D an argument, the assigned element y∈W the function value of x given the function f. As a shorthand notation, one gives the function equation in the form y=f (x), among others.

The term function is of central importance for the entire mathematics. Its development to the form in use today took centuries - https://domyhomework.club/calculus-homework/ . The names of famous mathematicians are closely associated with this process: Gottfried Wilhelm Leibniz (1646 to 1716) first used the word function in 1692 to refer to lengths that depend on a point on a curve thought to be movable.Johan Bernoulli (1667 to 1748) gave the first definition, Leonhard Euler (1707 to 1783), Fourier (1768 to 1830) and Dirichlet (1805 to 1859) subsequently contributed significantly to the further development and specification of the concept of function.

The concept of function also plays an important role in the application of mathematics in the natural sciences, in technology, economy and society. In the beginning, there is usually a clear, condensed and concentrated description of certain "functional" relationships and dependencies, whereby equations, tables, graphical representations or even colloquial representations are used for this purpose.

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