Chapter 3: Exploration of the Mathematical Forms of Networks
A matrix is seen as a hierarchical representation of a network, and its two-dimensional form is a probabilistic network (physical reality) that decomposes vectors into quantum levels. Pen × fun × Pavilion www. biquge。 The multiplication of the info matrix is a kind of traversal, and the different levels are different expressions of the network (I recognize that the essence of the world is the complex connection of the network). A determinant is a simplification of the mathematical structure of a matrix, and its rules of operation are related to the properties of the matrix. The chunked operation of the matrix is the embodiment of the relative opposition of the network hierarchy. The eigengen, which is the result of the overall computation of the network, is a target.
A network is a space, (defined by length, angle, etc.), that can accommodate motion, i.e., various transformations. Matrices describe motion, and both its motion and the representation of its own existence (coordinate system) are forms of matrix description of the network. Related to the relativity of motion, mapping is the essence of motion.
Probability multiplication is a linear transformation of different bases
Continuity has its limit, and matrices are the points of transition
An object can be expressed as a linear solution to other objects (different weights are different probabilities), a mathematical form of a probabilistic network, Fourier analysis
Resonance, the transfer of energy due to the similarity of the system, the structure should be a network
Oscillations, reciprocating, are relative, proportions between different variables?
The coupling of multiple levels of one-level coupling is coupled in a certain observable dimension, and its fluctuation changes to form a closed loop at the population level
The circulation of cells and the heart, as well as the flow mosaic model of the cell membrane, are similar at different levels, there are cycles, there are genetic levels
Basic and expressive, transducing, continuous input and output, transformation of electrical forms
Force is the influence of the relative motion of the local frame of reference, the conflict between expectation and reality, and the contradiction is a relative proportional effect.
The rate of change and the group of changes are network structures, which reflect hierarchical coupling
The limits of the world communicate the continuous and discrete, and the infinite subdivision is not allowed to have a margin for its transformation, i.e., the cost resistance limits the infinite progress of the exchange. So there is quantum, and there is money
The remainder of probability, the parallel world, our world is an expression of probability
Bell's Inequality, Cross-Two-Dimensional Relations|pxy-pyz|& lt;=1+pxz。 The relationship between the vectors of the coordinate axes of the eight dialectical axes, and the probability relations of the levels
Path integral, the cancellation of interference to determine the path
Traversal, convolution, cancellation of probabilistic paths
Granularity, the large level can ignore all the relationships with the small level, because it will collapse into a specific path
For the solution of differential equations, the dichotomy embodied in the ancient idea of yin and yang may be helpful, that is, regardless of the specific way of coupling the various levels within the equation, the cost/eigenvalue complementarity of each level is directly called up (or the solution of the probability network), and then added up (I prefer the hierarchical coupling of the probability network). For example, the method used by Wang Mengying in the treatment of malaria, he does not directly use anti-malarial drugs, but he analyzes the sick person, he sees that you have yin deficiency, he gives you yin, sees that you have blood stasis, he gives you stasis, sees that you have insufficient yang qi, he gives you yang, and when he sees that you are damp, he discharges your dampness, in short, he focuses on regulating your self, and when your body is running normally, your own resistance comes up, and you yourself will be able to fight out the external evils. The eight-gang dialectic, yin and yang, cold and heat, the surface and the inside of the void and the real are high-dimensional dichotomy, which refines certain symptoms into various levels, and then complements each level separately. (A bit like an orthogonal experiment, where the rest of the hierarchical complementarity cancels out the effect, leaving only a pair of variables for us to observe the relationship) It can attack the jade, and the foreign system directly interacts with the original system, just as the eigenvalues are directly substituted into the differential equation, and the various terms of the differential equation are artificially processed to form a cycle, that is, what we generally think of as a healthy state. Actually, differential equations are very much to my liking, mainly because they have a sense of beauty. Formally, the sum of the levels can be a constant (ax''+bx'+cx=0), and they can also be coupled to each other (ax''x'1+by''y'=0), and the derivatives of x are regarded as one level; secondly, its solution is also a differential equation, with various possible values such as c1 and so on, and its solution is generally in the form of a combination of exponential e and trigonometric functions, which are periodic. I had always thought that the nesting of hierarchies could be done infinitely. As Whitehead said, when a system of formal logic appears with a paradox, it is encompassed by a larger system of logic, in other words, by making the original system of logic a subset of a larger system of logic. However, Gödel's incompleteness theorem is proposed and proved that the use of the layer-by-layer extension method to expand the formal logic system cannot eliminate the contradiction of its sum! According to the motion form of Brouwer's fixed point principle in topology, in the continuous iteration of the hierarchy, the total/at least one level can be used as the representative or eigenvalue of the overall level. In this way, the coefficients in front of some of the variables I've always hated are actually the ones that are destined in multi-level iterations. I went around a big circle to get back to where I started, much like my life, when I started to get stuck in a bigger cycle and finally jumped out, others had already started at my original starting point, which is why I'm lagging behind now.
;