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What is the difference between function and Function?
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Functional is different from function. A function is a mathematical machine which accepts one or more numbers as inputs and provides a number as an output. A functional is that accepts one or more functions as inputs and produces a number as an output. So, a Functional is a function of Functions. exp (ik.r)it is a function or functional?
§ "A functional is a real-valued function on a vector space V, usually of functions." § "A mathematical operator is a mapping between two function spaces. If the range is on the real line or in the complex plane, the mapping is usually called a functional instead."
Functionally, the difference between function declaration and function definition is that the function declaration helps to indicate the compiler about the function and how to call that function, etc. while Function definition helps to write what the function should perform. It is the actual implementation of the function.
Functional is a function that takes a function as input. I.e. density functional is a function, which takes electron density as input and yields energy as output. Note, electron density is a function. As has been said before, a functional is a function takes another function as its argument.
function is a language keyword used to define functions.
Function is the builtin prototype object that represents all functions.
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See the following tutorial to get the detail information
https://developer.mozilla.org/en/JavaScript/Reference/Functions_and_function_scope
Function constructor, function means method
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