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Every function differs from every other function. Otherwise they would not be different functions!
The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.
That means that the functions is made up of different functions - for example, one function for one interval, and another function for a different interval. Such a function is still a legal function - it meets all the requirements of the definition of a "function". However, in the general case, you can't write it as "y = (some expression)", using a single expression at the right.
A Kalman filter is a linear quadratic equation which is used primarily in the guidance and navigation systems in our current vehicles. It has numerous other functions as well.
A linear function that is displayed on a graph or a graphical device. Where the function's different values for n variables can be iterated or cross-referenced with other functions.