Introduction:

Chapter 1: The Formation of Social Networks

Chapter 2 The Influence of Social Networks on Individual Behavior (To understand networks, we need to start from the individual level)

Chapter 3 Feedback of Individual Behavior on Network Formation (To understand individuals, we need to start from the network level)

Finally, we need to consider the balance of levels

The network is essentially a high-dimensional structure, and the language it expresses is 1/0 of the quantum level, so we need to constantly ascend/derive in order for the network to be understood. Pen @ fun @ pavilion wWw. ｂｉｑUｇE。 ｉｎｆｏ

A connection is the most basic unit of operation

The six-degree separation is the distance between the nodes of the average level, and the actual distribution is the power-law distribution of the connectivity between the central node and the general node; like a drunk walking, the higher the dimension, the lower the probability of being able to return to the original point

There will be a certain convergence attenuation in the diffusion of influences, which makes the hierarchy formed. At the same time, this forms a certain basis, and the development of the spatio-temporal dimension has an overall impact on the probability. That is, the past is the foundation of the present, and the ideas formed in the past will be inherited by us as relatively independent levels.

The dynamic nature of the network is that it maintains the high-intensity combination of molecular thermal motion, and eventually certain patterns emerge, which is the basis of the self-organization of the network

The growth of all things is the continuous growth of nodes according to a certain pattern

Introduction:

Marx said that "man is the sum total of all social relations", and I think it is appropriate to understand it from the level of the network. The individual can be seen as a coupling of multiple relationships in a social network, and these relationships are also in a state of constant change, with the formation of new relationships and the rupture of old ones, and only on a sufficiently large scale can a certain steady state be maintained. At the same time John. Dorne's "Everyone's death is my sorrow because I am a member of the human race." So, don't ask the bell for whom, it will ring for you!" expresses the same meaning, there is a universal connection between the individuals of the network, and each individual is the sum of the partial expressions of the others. However, the addition of this situation is actually a combination in the context of the network, and the final individual formation is a selective expression of the network formed by the combination. For example, if I read books by Kant, Lao Tzu, Sun Tzu, etc., they become a part of me, but I am not equal to 1/100 of Kant + 1/50 of Lao Tzu + ...... Rather, based on my life experience, I constantly use the combination of different ideas, and finally form a certain pattern, which determines my existence as an individual. If I extract the network of my thoughts, I can find that these thoughts are coupled at different levels, and this re-creation derives new information. Of course, if you do statistics by force, you can indeed find the proportion of various relatively independent components in the whole, but this is of little significance at this time, and it is not as good as the original network. And entropy is the background, which makes us grow old, but it's for the individual, and we make the population grow through reproduction

(This is the temporal level of the individual, while the social network is a combination of time and space, i.e., multiple levels, which keeps the whole above a certain average and the network is constantly evolving)

This kind of large-scale magnitude allows the network to stably express a certain property, which is the beauty of the network. Note that we're talking about a network in dynamic equilibrium, where it can only be relatively stationary.

Connection is the form of combination, which is not only the original driving force of the network, but also the growth needs and patterns of individuals

The mathematical language of network operations is probability. The benefits that the network brings to the connection will inevitably bring disadvantages when the connection is broken, which is the overall nature of the network. For example, people who are close to each other tend to live happier lives overall, and the risk of death increases when one partner dies, i.e., the probability increases. Changes in probability are statistically obtained, and generally speaking, changes are described at the level of the whole, which depends on the significance of the data. Because the individuals of the network are selectively expressed, the final relationship graph that can be formed is generally normally distributed.

The hierarchical convergence of the connection is expressed in a power law

The pattern of local connections is adapted to the current environment and does not necessarily correspond to the overall pattern, which is the embodiment of the distribution. Due to the lag of time and space, there must be various differentiation and distribution in large-scale networks, but if large-scale networks are not formed, it is a general downturn. This disparity can be seen in the average poverty of primitive societies and the differentiation between rich and poor in modern societies. So these different levels of competition will reach a certain Nash equilibrium, which is a steady state.

Chapter 1: The Formation of Social Networks

Everyone is a part of the others, and this is the principle of revenge: to hurt someone who is close to the enemy is to hurt the enemy. This is a gambling choice due to the lag of network connectivity

The formation of groups is an intrinsic feature of the network, i.e., clustering. This is the basis of influence diffusion, and the relationship between individuals between levels can spread within the level, and then continue to spread through the connection between levels. Such as the formation of the nation and hatred, the Hundred Years' War between England and France made the French nation formed, but also caused the formation of a general misunderstanding among the people.

The operation of clustering: a friend's friend is a friend, a friend's enemy is an enemy, an enemy's friend is an enemy, and an enemy's enemy is a friend. This is a simple first-order clustering operation (1+1=1, 1+0=0, 0+1=0, 0+0=1). This is followed by higher-order operations, which may lead to contradictions, i.e., different outcomes based on different operations, and then a choice needs to be made, and the specific outcome of the game determines its performance. If you are a police officer, your lover is a drug dealer, as a police officer you want to arrest drug dealers, as a lover you want to protect your lover, you have to make a choice in a specific situation, what kind of choice will you make? Not only are the choices made for individuals probabilistic (specific social climates determine the different probabilities of AB choices), but at the overall level, i.e., the choices of many police officers are statistically certain.

Moreover, individuals are at different levels, which makes the diffusion of the network multidirectional, and the level of individual expression in a particular situation is different

Any level is a dynamic equilibrium formed by a collection of opposing forces, and the final result is a selective representation of the network. For example, 75% of murderers in the United States know the victim, and there is a relatively high probability that organ transplantation will be formed within the connection. Like the rose, we have to appreciate its beauty and endure the pain of her thorns

The formation of the network model contributes to the improvement of work efficiency, and the social division of labor is the best example. The whole is greater than the sum of its parts by forming pathways (essentially reducing losses to increase efficiency), because simple sums decay quickly, while combinations can exert the benefits of the network because their eigen, i.e., the average, can exceed the maximum value of a single individual

The differentiation of the network is inevitable, and this is the result of energy minimization. For example, in a psychosocial study, a group of children are automatically divided into different groups because of the different flags they are assigned, and they are divided internally according to the different personality traits of different people, such as leaders, younger brothers, and so on. Social class differentiation is an illustration of this. As a result, the hierarchy will converge, and there will be a distribution of central nodes and general nodes within it. This may partly explain why people are lonely, because individuals can only maintain a sense of security in a certain collective, but in reality, the collective that an individual identifies with is scattered, and the probability that a person who comes into contact with on a daily basis is a member of the collective with which he identifies is very low. All feelings are relative proportions

Topology is a property that describes relative position, which is an intrinsic of the network. If the IQ of the first child is higher than that of the second child, this is a statistical performance, indicating that the relative proportion is reflected in the network. Psychologist Stanley Milgram's sidewalk experiments show that the imitation of behavior depends on the relative proportions of individuals relative to a whole

The relative proportion of individuals decreased from 50% to 6. 25%, and the probability of the group's behavior influencing from 42% to 86% is a coupling. When the relative proportion of individuals decreases, individuals tend to huddle, but they have a limit and converge

The connections between nodes form pathways at the scale of the network: number of connections, strength, connectivity

Transitivity determines the direction of the hierarchy, that is, the tightness within the hierarchy, which is a derivative. Referring to children whose parents are divorced, the father-son and mother-child relationships still exist, but the absence of the parent-mother relationship also has an impact

High connectivity is not only the result of the distribution of differentiation within the network, which determines a relatively high probability, but also the embodiment of the anthropic, which is a kind of probability collapse: we are constantly forming new relationships, and only relatively novel relationships can attract our attention because the influence exerted by them exceeds a certain threshold

The similarity of the layers and the imitation between the levels, the convergence of the like. At the same time there is a tendency to express the same nature as the gathering, which is the spread of influence

The multi-path of the network is the basis for stability, just like the law

The nature of the network emerges as a whole, and we can only understand its results as intrinsic. For example, human waves are the simplest activation/inhibition of network behavior, and this kind of crowd intelligence is the self-organizing nature of the network

Chapter 2: The Impact of Social Networks on Individual Behavior

The epidemic of infectious diseases is associated with network contact, which is a rule where contact is 1 and quarantine is 0

The individual is shaped by the environment, because to maintain a certain similarity with the whole, a Markov model can be constructed: the current state is determined by the previous state (the group affects the individual, and the individual can also affect the later state)

The local optimal is a new local with information as the hierarchy

Imitation is an act of adaptation to the group, which also allows the information to be transmitted. This is consistent with similarities leading to resonance

The ability to empathize with the different properties of the individual -- individual expression -- information transmission -- imitation of other individuals -- sympathy generation is resonance, such as imitating the expressions of others can change the individual's feelings, and this ability to empathize is essentially a coupling ability, which allows the cascade reaction to proceed

The speed of transmission is certain, but the objects involved are growing explosively, which is uncontrollable, and this is the origin of new breakthroughs

The matching of sequences is the result of multiple degrees of connection, such as the acquaintance of lovers is generally multiple degree connections

The network is the most efficient, which is formed by a high flow velocity pattern, since losses are reduced according to energy minimization. This is the same as the currency of the economy and society

The recombination of sequences and the construction of diversity, i.e., the formation of networks

The degree and number of sequence matches are different stages of the distribution function: the number of high matches is smaller, and the probability of sequence matches is greater due to clustering, which is a principle of herd psychology

Relative proportions, partial derivatives at all levels

Small-world network: The average path is short, and the transmissibility is good, that is, the degree of multi-degree connection coupling is high

The mode of connection of the original elements can bring new benefits to the weak connection on a certain platform

Chapter 3: Feedback of individual behavior on network formation

The Era of Big Data: The Construction of Connections - The Formation of Holistic Patterns (Platforms) - The Formation of Specific New Forms (Content)

The screening of natural selection is to select the individuals with the highest adaptability, which is a kind of local optimization operation. And reality is a multi-scale standard

Completely selfish and altruistic forces are different forces, and finally a certain coupling is expressed in the group, that is, the number of strategies adopted by individuals in the group is a distribution function

The influence of the individual on the network formed by the individual is interactive

The more differentiated, the more polarized the differentiation in the different standard axes, which collapses in a triangular pattern: weight and stability (decreasing). There is a compensatory change as resistance. In fact, the reality is the coexistence of various levels, which is coupling. In fact, with the development of the network, the evaluation criteria are becoming more and more diversified, which is also the increase in the connectivity of the network, which can also be regarded as an increase in dependence, and can only coexist in the era of dependence of everything (like a goldfish). This act, which is actually the act of decomposing oneself into other levels to the outside world, can be seen as the unity of heaven and man. And this behavior is actually an increase in perception.

Differentiation is the local optimum, and this combination is the Nash equilibrium behavior of the network

Social networks are based on human connections, and so is civilization

Decomposition and synthesis of the network: the decomposition and recombination of sequences, just like the formation of antibodies of the immune system, is a random combination of genes in the VDCJ region, which can release an infinite number of combinations, and there must be a certain pattern that matches each other with external antigens or has a high degree of matching, and then the pattern can multiply, which is an operation. This is a kind of behavior of first decreasing dimensionality and then ascending dimensionality, first the sequence is derived to become a low-dimensional sequence, that is, differentiation, and the hybridization between the differentiated sequences, that is, coupling, is a kind of traversal, ascending dimensionality to form a new network, and finally becoming the most adaptable individual according to the selective expression of the environment. This trend is consistent with the refinement of the social division of labor, which is an annealing algorithm

The status of various substances is constantly declining, that is, constantly reducing the essence of nature, that is, the nodes of the network

The direction of differentiation of the singularity of the Big Bang is coupled: the scale increases, the complexity increases, and at the same time there is an increase in interdependence and a decrease in relative independence. This process is an irreversible increase in entropy at the macro level, but there can be a certain resistance change at the micro level, which makes the network a multi-level coupling, and this diversity is the premise of the steady state of the network, and the internal level is in a state of dynamic equilibrium.

Connections are probabilistic ⊙∈∈⊙

The wisdom of the web lies in sacrifice, and most of those exploratory attempts fail, but a handful of successes are enough to offset these losses. And different individuals of the network can make more than one attempt, as long as there are enough times, they can always succeed once. For example, success rate = 1 - (failure rate)^ times. No matter how low the failure rate is, there will always be success if there are more times. Of course, this is ideal for the whole. The reality is often distributed, that is, there are many attempts that do not succeed and there are very few attempts that succeed, all due to the two poles of the distribution function. Finally, there is the expression

High-dimensional mental comprehension is the language of judgment, such as macro good and bad. And this judgment is actually based on the probability derived from the Bayesian formula based on experience, and the selective expression made by the individual. Therefore, we need to choose a characteristic dimension to make a quantum judgment, and then continue to traverse to obtain a high-dimensional structure. I tend to use sequential logic to explain this structure, and the intrinsic nature of matrices/networks formed by 1010101010001 and 01011101101001 is a high-dimensional structure. And the higher dimensional intrinses are closer to reality. For example, if a group of people guess the weight of beef, the characteristics of the distribution function curve formed by the results of people's guesses are often close to reality.

In order for the network to remain stable, it needs to continue to flow, i.e., metabolism, stability is the description of the whole, and flow is the change of the individual, so that it can be integrated at multiple levels. This is freedom, but at the same time, there will be resistance to the speed of change, complete freedom is the ideal state, and the final steady state is a multi-level coupling that satisfies the requirements of diversity

The property rights of economics reveal the determination of the boundaries of the network, which is the premise of freedom, which is a quantum-level determination, which can then build the whole world

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