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Any function that can be written in the form AeBx. Instead of e, any other base greater than one can be used (since that can be converted into the form indicated above). Note that B can be positive (the function value increases), or negative (the function value decreases).
A Bessel function is any of a class of functions which are solutions to a particular form of differential equation and are typically used to describe waves in a cylindrically symmetric system.
Mathematics can be used to complete precise measurements that can be easily presented and evaluated in mathematical form.
Well, if you solve the equation for "y", you have "y" as a function of "x". Or you can do it the other way round; solve for "x", to get "x" as a function of "y" (the first option is more commonly used, though).
The term "f of x" is used in calculus to indicate some undefined function that is being applied to the variable x; normally this would appear in the form of an equation, which would then tell us what this function does to x.