There are concepts that are only understood by opposition: asymmetry is
one of them. According to
DigoPaul,
the dictionaries define this term as the lack of symmetry or
otherwise thereto. Therefore, it is essential to know what symmetry is to
understand the idea of asymmetry.
Originating in Latin symmetria and earliest history in the Greek
language, symmetry is the quality that refers to the correspondence in
terms of dimensions, shapes and locations of the various components that make
up a whole. Symmetry can also be considered with respect to a plane or
a position.
When such correspondence does not exist, one speaks of asymmetry. In other
words: what is not symmetrical is asymmetric. At a general
level, it can be said that symmetry is associated with beauty,
so what has asymmetry is not beautiful or dissonant in its lack of
harmony.
This idea of symmetry as a synonym of beauty applies to both living beings
and sculptures and, in general, to any creation of man or element of nature. For
example, many people often pursue device designs such as
televisions or cell phones that exhibit a symmetrical appearance, as opposed to
that of older tube televisions (with the display on one side and controls on the
other) and disk (with the cable connecting the receiver to the base hanging on
one side of the device).
However, not everyone considers asymmetry as a negative trait; on the
contrary, in all areas there are many people who appreciate the unique quality that
an asymmetrical arrangement of features or forms can imprint on
a living being or on any natural or artificial object. In this same line of
thought, symmetry is associated with the artificial, with something that has no
life, such as a mannequin, and is not valued positively in a sculpture, since it
represents a human being taking into account its plane emotional.
Statistical asymmetry
The indicators by which it is possible to identify the degree of symmetry or
asymmetry present in a probability distribution (a function
that assigns the probability of occurrence to a series of
determined events) of a random variable (also known as stochastic
variable, is a function that assigns events to real numbers) without the
need to represent it graphically they are called asymmetry measures.
In this context, taking as reference the axis that passes through the mean of
said distribution, the line parallel to said axis is called the axis of
symmetry. When the number of values is equal to both sides (to
the right and to the left), the distribution is said to be symmetric; In this
case, the number of positive and negative deviations also coincide.
The asymmetry on the right, also called asymmetry negative,
occurs when the number of values to the right of the average is greater than the
negative (found on the left); This can also be expressed by saying that the tail is
longer on that side of the mean. The opposite case is called negative or left
skewness.
A concept related to asymmetry within the field of statistics is kurtosis,
also called pointing. This is the level of sharpness or flatness that
presents a probability distribution with respect to the normal; in other words,
it is the measurement that serves to determine how pointy your appearance
is. The three types of kurtosis possible allow us to speak of leptokurtic, mesocurtic, and platicortic
distributions, depending on whether the concentration is high, normal, or
low, respectively.
