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math functional equation definition. In this unit we learn about functions which are mathematical entities that assign unique outputs to given inputs. In mathematics a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.
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If the solutions of a functional equation are elements of a space of operators then such a functional equation is called an operator equation specific or abstract. Consider the functional equation af z bf w 2 z g z where w is a complex cube root of unity a and b are fixed complex numbers and g z is a known complex function. It is like a machine that has an input and an output.
Here algebraic operator equations can also be linear or non-linear differential integral etc.
This yields two new equations. A function relates an input to an output. In mathematics the term functional has at least three meanings. Graph your math problems.
