The Latin term divergens came to Spanish as divergent . This adjective is used to describe that which diverges . The verb diverge , for its part, refers to two elements that are progressively separated or to what is discordant .
For example: " Divergent thinking is highly valued in our company" , "Sometimes, to arrive at a solution, the problem must be analyzed in a divergent way" , "You can access the nature reserve through two divergent paths : one allows entry through the east door and the other through the west access .
The concept in mathematics
The idea of divergent is used in various ways in mathematics . A divergent series , to cite one case, is a series in which the sum of its terms shows a tendency to infinity .
It is important to note that the term series is defined in the field of mathematics as a sum that is applied to the terms of a sequence , which can informally be represented with an infinite equation that simply shows the sum of many variables.
Convergent series vs. divergent series
When a mathematical series is convergent , its terms approach zero. On the other hand, when this situation does not occur, the series is divergent. This means that the sequence of its partial sums has no limit .
Although at first the theory seems to clearly separate the divergent series from the convergent ones, in practice it is not so easy to distinguish them. For example, series whose terms show a tendency to zero are not always convergent, and this can be seen in the following sum: 1 + 1/2 + 1/3 + 1/4 + 1/5 + … , which must be understood as a divergent harmonic series.
Assigning a value
To assign a value to a divergent series, we can sometimes use an addition method , which must have the following properties to be useful:
* regularity : occurs if every time the sequence s converges to x the equality A(s) = x is true;
* linearity : the method is linear if it is also functionally linear when applied to convergent sequences;
* stability : if we have two sequences, and one of them starts at the second value of the first, stability occurs if the addition method can be defined for both and gives the same result in both cases.
A divergent opinion
Divergent opinions are opposite or, at least, do not coincide with each other. If one person maintains that the government should reduce taxes to promote the growth of the economy, while another person believes, on the contrary, that the authorities should increase taxes to boost state investments and thus promote economic development, it is You can say that both opinions are divergent.
We can understand this meaning even if we return to the idea of the lines that tend to progressively separate, since divergent opinions begin in a discrepancy that grows little by little, as the complexity of the discussion increases. When the topic to be discussed is strongly linked to others and together they form a tree of concepts, it is not possible to disagree with one of the main concepts and agree on those that are subordinate to it.
We would not use the concept of divergence of opinions to describe a conversation in which two people choose opposite colors of clothing, but rather it serves to describe sets of ideas that tend to be opposite, lines of thought that diverge over various issues, generally very delicate. .
literary trilogy
"Divergent" (or "Divergent" , in its original language), finally, is the name of a literary trilogy written by the American Veronica Roth .
The first novel in the saga has the same title ( "Divergent" ), and is followed by "Insurgente" and "Leal" .