Mathematical Model of Happiness

Mathematical model of happiness.

Fortunately for all, the gift,

and let will leave nobody offended!

A. and B. Strugatsky.

«Roadside Picnic»

INTRODUCTION.

author of this article in no way claims to be writing a how-ever comprehensive work on one of the oldest and most difficult issues holding humanity.Moreover, the author did not even sure of the methodological justification of such delicate emotional categories like "Happiness" and "Mountain" dry mathematics.However, the author seems a curious mix of categories such not close (the emotional state of the individual and mathematics), as well as curious conclusions that can be drawn from such a combination.

1. 1. terms and definitions.

To build a chain of reasoning further, we introduce a few terms in general for a long time and are widely known.The terms with a high degree of voluntarism taken in the interpretation of the author, in spite of the variety of interpretations in various socio-philosophical reference books and articles (from dictionaries Marxist-Leninist ethics to religious and philosophical works).So, we introduce three terms.

1. mood - the emotional state of the individual at a particular time.This concept is certainly well known to any person and does not require further interpretation.
2. HAPPINESS - momentary state of emotional lift, close to euphoria.This condition can be caused by various reasons, but, regardless of its cause, physiologically manifested about the same in each individual person.Different personalities physiological manifestations of happiness may be somewhat different.
3. HILL - momentary emotional state of decline, close to depression.Causes may also be different.The manifestation in individuals is similar and opposite manifestations of happiness.

Please note that mood, happiness and sorrow in this context has a status immediate, instant, variable over time, and having nothing in common with the interpretation of these concepts in the aforementioned literature on this issue, where they are often described as a state of long-term ("Happiness labor", "Happiness faith," etc.).

1. 2. mathematical modeling.

construct a graph MOOD speculative individual over time.For clarity on the timeline T point out the abstract events that affect mood, such as: praise of the head (P), the loss of any thing of value, or money (V), meeting with the beloved (B), illness of a loved one (B), and so on.P.Let us take a grading scale MOOD N: MOOD average level is 1, the highest attainable standard of mood is 2, the minimum attainable standard mood - 0.

explain the graphs.At the beginning of the coordinates T personality is in neutral MOOD (N = 1).After the occurrence of the event P (Head of praise), N begins to rise and reaches a certain value of N & gt; 1.After some time a new event Y (loss of a valuable object) leads to depressed mood to the values ​​of N & lt; 1.The next event (meeting with favorite) again changes the value of N and making it greater than 1. The fourth event B (disease) once again sharply worsen MOOD to the values ​​N & lt; 1.After some time, the following may occur that does not appear on this graph, an event which can change the value N again, and so on throughout the individual's life.It should be noted that these events on the schedule are conditional and are intended only to illustrate the reasons for the change of mood.

Thus, we have some function of time MOOD:

N = F (T),

describing the mood in the given time, depending on the circumstances in which a person gets.

try to take on this function, the time derivative.We get another function:

S = N '(T) = F' (T)

depict the graph of this function in the background of the events applied in the graph of the function N = F (T), and try to give the S parameter physical meaning.

Realizing that the physical meaning of the first time derivative of any function is the rate of change of this function, we conclude that S - the rate of change of mood.

From personal experience of the author and based on its long-term observations of the people around them, dare to conclude that it is in the peaks of the graph of S = F '(T) is shown the condition defined by us as happiness, and the minima of this function is shown the condition grief.This conclusion may seem speculative, but talk to your experience of life: Is not the mood of the moment of change in the direction of its increase have you experienced this state is close to our definition of happiness, and, conversely, decreasing mood - state indicated by us as a mountain?And did the mood change is not necessary for the manifestation of these feelings?

Thus, we conclude that happiness and sorrow are functions of the first time derivative of the mood.

range of the function S, lying above zero describe the state of happiness, and vice versa, the area S values ​​below zero, describe the state of grief.

author readily admits that the findings made here are debatable, and perhaps in the chain of his arguments are logical inconsistencies.However, he spent a little opinion poll among your acquaintances (however, it is not claiming to be any representation) shows that the majority of people experiencing similar feelings and agrees with the above interpretation of the concept.

1. 3. SOME CONSEQUENCES.

From the above, we can derive some consequences.

1. happiness and sorrow can not be long enough sincewe feel their only moments of mood changes, and this process is always in the first place - is finite, and secondly, as a rule, very short.The attempt to present the "everlasting happiness" is not linked to the elementary theory of functions, asin this case the function of mood should tend to infinity, which is impossible with the physiological and psychological points of view.
2. weal and woe, the stronger the higher the rate of change of mood.Taking into account the finiteness of the absolute values ​​of mood (in our arguments and graphs MOOD varies from 0 to 2 units), the higher the rate of change, the shorter the time period of the change.Consequently, greater happiness and sorrow are always more fleeting than their weaker manifestations.
3. happiness and sorrow concept of differential, ieIt does not depend on the absolute value of mood.If we construct two identical graph of N = F (T): first with a change in the absolute value of mood from 0 to 1, and the other - with synchronous change from 1 to 2, then collected from these two graphs function S = N '(T)It will be the same.

Hence the political and economic conclusion that the level of happiness of the population does not depend on welfare.For example, a prisoner in the camp receives the same grade of happiness given to him a pack of cigarettes, which is experiencing an oligarch buying a new boat, asmood change occurs have approximately the same amount.To illustrate this thesis can give a sincere and intense happiness of millions of people from the winning team sports, though, for each of them, it will not affect their material well-being and personal life, or the sincere grief of millions of people on the occasion of the death of the dictator of their country (remember the funeralStalin, Kim Jong Il, etc.).In addition, we can assume that the same conclusion about the independence of the level of happiness of the well-being of people have come long ago.As an example, we give certifying English proverb: "To make people happy, Take away from him everything, and then return any half."

Here the author has to make a small remark: it is far from the authoritarian ideology and its political outlook categorically rejects the use of the active output in practical politics to quickly achieve happiness of the people by reducing their standard of living.Such approaches in history have often been used and well known than every time it ended.

1. a sufficiently long during the life of the individual value of the integral of S over time tends to 0. In this figure is the total area bounded by the graph of S and T axis: area figures over the axis T (the total amount of happiness) is equal to the square shapes below the axis T(total number of firing).

In other words, for each person for life have an equal amount of happiness and sorrow, and this ratio does not depend on any external factors.

1. 5. CONCLUSION

use in this article methods of mathematical analysis of emotional conditions of the person deliberately given only a small part of the possible use.The curious reader can independently continue research in this area.For example, the author would be interested to enter into a discussion, the term addiction and to analyze its correlation with mood, happiness and sorrow, or to think about the possibility of artificial optimization graph of N = F (T) in order to achieve the most comfortable state of the person for a long period of time.However, when writing this article only task was to bring to readers the possibility of applying mathematical tools to analyze the emotional sphere of the person.

given in this article reasoning and conclusions in no way claim to truth in any instance.Furthermore, the author is not sure of the correctness of their reasoning will be grateful for any criticism in his address.Also, in advance, the author takes the possible criticism of blasphemy by the religious leaders and organizations.In his defense, I can only say that it is not aimed to question the religious feelings of the people and respects all faiths.