In teaching functional programming, we often talk about the term “operation code” or “operation string.” What exactly is this term meant to mean? Well, let us discuss this briefly. An operation code is the specification of a certain function which will be executed at each point in the program. We say that this is an “operation string” since it will serve as a guide to programmers when they are trying to understand the program and make modifications to it.

There are many places where we find this term used, for example, in the standard library, in error handling functions, and so on. Now, let us see **how to describe the end behavior of a function**. The term “operation code” actually just describes the exact way in which a particular function will be implemented in the program. This is a kind of “notation”, which helps programmers understand the program and write better programs.

Let’s take an example. A common way to **describe the end behavior of a function** is by using an operators list. The list consists of one to five operators. The names of the operators can be in any order: plus, minus, times, bitwise, logical, and so on. For example, the expression (2 * 5) is the same as (minus(plus(2), times(times(2)), bitwise(bitwise(2), times(plus(5)), oracle. So, for our example, the operator’s list would be: operator+ (plus), operator (minus), operator times (times), operator bitwise(bitwise(2), times(plus(5)), oracle.

The “notation” used to describe a function has to be understood by programmers. It’s a common error for novice programmers to assume that because a function doesn’t do anything, it can be described with any ordinary expression. This is wrong; a function can only be described using one of the three following keywords: return, input, or output.

An example showing** how to describe the end behavior of a function** can be this: “When I enter this text box, the result will be displayed in the top right corner”. If you are given the code that says: “when I input this text into the text box, the result will be displayed in the top right corner”, you can read this statement as “when I input this text into the text box, the result will be displayed in the top right corner”.

In this example, both the “when” and “evaluate” must be written using the keyword “evaluate” which refers to a function that evaluates the expression. The keyword “return” is used to mean the same thing as “return the result” but must be written using the keyword “evaluate” in order to be valid.

A programmer can make mistakes when they don’t understand **how to describe the end behavior of a function**. For example, if I’m trying to add a new text box to the form above, I might write: “valuing how to describe the end behavior of a function” instead of just typing in a simple “valuing how to describe the end behavior of a function”. The second example is correct, but I would make the mistake of typing the word “evaluate” twice in a row. The end result would be confusing. Don’t make these types of mistakes when you’re programming!

## Evaluating the Behavior of a Function

The behavior of a function is described by the constant behavior of a function in a finite environment. The behavior of a function can also be described as the sum of the components of the behavior of a function. The sum behavior of a function is also called the mean value of the function’s behavior. The other term that describes the behavior of a function is a partial differential equation.

The behavior of a function can be approximated by the set formula of discrete mathematical equations. The set formula of discrete mathematical equations gives rise to a set of expressions whose values can be used for calculating the behavior of a function.

The other terms used for describing the behavior of a function are called the derivatives. The derivatives have a numerical value that is equal to one when one is expounded on some closed system. Thus the derivatives are useful for computing the behavior of a function in the real world.

There are different notation used for computing the derivatives of a polynomial function. These notations are similar to those used for the real functions. For instance, for the additive identity (x+y=0), the derivatives are: y=x-1, where x is the input of the integral and y is the output of the integral.

Thus, for decreasing without bound the derivatives are: x=-x-1, where x is the integral answer. One can find more about derivatives in general such as theorems and quotients of functions at different time scales. In summary, derivatives are necessary in order to compute the behavior of a function at time t by evaluating it at time t – 1.