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Additive It is a term that can be used as adjective or as noun . In the first case, rate what you have or that can be added or incorporated into something else .

In the field of math , the additive adjective refers to the term that, in a polynomial, is preceded by the sign + (plus). According to the traditional principles of this science, there is talk of additive function to refer to the one that retains the operation of the addition, that is, the sum.

This can be seen in the following example: f (x + y) = f (x) + f (y); here we notice that so much for x as for and the sum . It should be noted that in this case we are only talking about the values ​​for which this function has been defined, that is, for all x and and that are within your domain .

In this way, we can ensure that all transformations linear they are additive, since this is one of the requirements of this concept, which can be defined as any application in which its vector spaces of the domain and of the domain also comply with the following property: T (ku) = kT (u), where or it's a vector and k It is a scalar.

On the other hand, if the elements of domain they are real numbers (set in which both negative, zero and positive numbers are found as well as irrational, those that cannot be expressed), then the additive function corresponds to that of Cauchy. It is known as Cauchy functional equation it is indeed f (x + y) = f (x) + f (y), as shown above the additive function; Although it is one of the easiest to represent, in the set of real numbers it is very difficult to solve.

If we focus on the chemistry , the notion of additive applied to a property or to a magnitude refers to that, in a mixture, it is shown as the sum of the values with which it appears in the different components.

From its use as an adjective, additive can also be used as noun . In this case, it is the substance that is added to another to improve it or to confer properties that it does not have.

The Food Additives are those that are added to food to facilitate their conservation , prevent chemical changes or alter its taste, color or aroma. The flavorings , the dyes , the flavorings and the preservatives They are some of the most common additives.

An example of a food additive is the carminic acid , which is extracted from insects like the Dactylopius coccus (the cochineal ). This substance serves as a dye and is used in the preparation of ice cream, yogurt and jam, among others products . By adding carminic acid to these foods, a reddish color is achieved that is very attractive to the eye.

Despite the high popularity of additives in the food industry, it is very important to note that many of them represent a great danger to our health ; after all, these are substances that we do not normally use to make homemade food, with which we could say that they are not strictly necessary, but have specific functions, often aesthetic.

One of the most dangerous additives is the aspartame, also known by the name of Equal or NutraSweet, which is usually part of dietary foods. There are several evidences of its carcinogenic action, and it considerably surpasses all the other additives of the industry in number of reactions adverse by consumers.

To the fuels you can also add additives to improve your properties . He ethanol To name a case, it optimizes the combustion of gasoline.

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