The Greek word kyklikós came to Latin as cyclĭcus, which was derived in our language as cyclic. It is an adjective that refers to what is linked to a cycle.
According to DigoPaul, the cycles are time periods that occur (ie, to the end, start again). The set of phases or stages that a periodic phenomenon goes through is also called a cycle.
Something cyclical, therefore, is something that is repeated periodically or that, after a certain amount of time, returns to a previous state or configuration.
We speak of cyclical time to refer to the understanding of time as something circular, with reiterative characteristics. The succession of the seasons of the year or the organization of time according to the rainy and dry seasons, for example, belong to this idea of cyclical weather.
The Gregorian calendar, which divides each year into twelve months, has linear but also cyclical characteristics. Every year begins in January and ends in December: after December of one year, January of another year arrives. The division of time into summer, autumn, winter and spring is also cyclical.
The cyclic numbers, moreover, are digits to being multiplied sequentially, result in a number with the same numbers as the original, but in a different order. For a number to belong to this class it is necessary that its successive multiples be cyclical permutations.
For mathematics, a permutation consists of varying the order or the way in which the elements of an ordered list (known as a tuple) or an ordered set are arranged in such a way that there are no repeating elements. In this context we find the concept of cyclical permutation, a case in which there may be some fixed elements, that is, it is possible to establish which ones move cyclically.
The cyclic group is one that can be generated from a single element; In other words, we can say that in the generator group all the elements can be calculated as powers of one.
This belongs to the field of abstract algebra, specifically group theory, which focuses on the study of certain algebraic structures, a task that includes their classification, the definition of their properties and the recognition of their applications in all possible fields. that exceed math.
As any group that arises from an element of the generating group G is, in turn, one of its subgroups, to show that it is a cyclic group it is enough to show that G is the only one of its subgroups that contains the main element.
In the field of chemistry, finally, a cyclic compound having carbon atoms that are connected to form a ring. Benzene is a cyclic compound since it has a molecular structure with these properties.
Naphthalene, for its part, is an example of a compound in which there are several rings in a single molecule, and in this case the word “polycyclic” is used to describe it. On the other hand, when a ring contains more than twelve atoms, it is called a “macrocyclic” compound.
There are several categories of cyclic compounds, and some of them have subcategories: alicyclic compounds, where we find cycloalkane and cycloalkenes; the aromatic hydrocarbons, which in turn can be polycyclic; the heterocyclic compounds; the macrocycles.
In life there are many periods that seem to get stuck in a cycle that repeats itself indefinitely. Some of these cyclical periods are not negative, although they can be tedious or difficult to go through, but others can represent authentic emotional blocks that plunge us into a nightmare from which we do not know how to get out.
