Functions are one of the most important subjects in mathematics. René Descartes, a pioneer in the study of the Cartesian plane, defined it as the act of listening and speaking. As a result, the first uses of the function were represented with parentheses, precisely because of the ear.

Euclid's work.

Discourse on the Method (Discours de la Methode)

How are we going to start the speech?

According to Leibniz and Euler:

  • Creating implies transforming what exists;
  • God created everything and everyone.

This way, he would have done his Work optimally.

If the answer is affirmative, then any element of nature (physis) is provided with reasoning (methode).

Application in chemistry

Functions (Functus)

From Latin functus (function) comes from the past participle of the verb fungor, which is derived from fungi, which can be interpreted as:

  • carrying out an activity.
  • talk about what happens.
  • or action of fulfilling a duty.
Application in chemistry

The word defunctus is one that no longer performs the function of speaking. In Portuguese, a person who dies is a deceased person or someone who has lost their vital function.

Application in chemistry

The word functus was used in Mathematics in the year 1968, in the letters exchanged by Gottfried Wilhelm Leibniz and Jean Bernoulli.

Application in chemistry

Leonhard Euler, in 1734, in the magazine Comment Petropol. ad Anneslabeled a function by

$$f(x)$$

in which

  • “ \(f(x)\) denote functionem quamcunque ipsus x ”

  • “ \(f(x)\) denotes a function for any x ”

Representation of the Cogito Ergo Sum (I Think Therefore I Exist)

As previously stated, the act of listening and speaking represent what we today call a function. In this way, René Discards used an ear as a symbol.

Cannon.

Function to speak twice what you hear

  • Say what you hear twice;
  • We can observe that the symbology (semiotically active language of an ear).
Cannon.

Symbolic and semantic representation

$$f = 2~(~)$$

Graphical representation

Grafiko's.

Máthema (Mathematics) grapfiko’s (graph)

$$f = (~) - 2$$
Linear.
$$f = [(~) - 1] ~~ [(~) - 3] $$
Quadratic.

Cogito Erog Sum

Metamorphosed into functus X dominus is a representation of the human brain, which can, with reasoning (methode), understand God’s perfect creations (exactus):

  • Simply decode (máthema) the traits (gráphiko’s) of nature (phýsis).
Cannon.

These are the concepts for introducing the functions. Wait for the next posts.