Chapter 54: Mathematical Rhapsody I

A system is a collection of loops, a multi-dimensional definition

The form of multiple structures, in the specific expression of different choices, such as sandwiches and the taste of people in one bite

The hierarchical coupling of cell structure, chemical properties, functions, neurotransmitters, transmission patterns, etc., brings about life, network of connected structures

Special anchoring avoids confusion

A circuit is an externalization of the movement of electrons within an atom, in different combinations thereof

The decimal system, the relationship of numbers, and the exponent, is the need of the hierarchy

The essence of logic is the intersection and approximation of geometric relations, or the Boolean operation of sets, which can be regarded as network operations, but of the first order

Boolean algebra can be implemented directly from circuits, while networks are multidimensional

AND, OR, NOT, the combination thereof can have a local short circuit

Logical algebraic form of coupling

Feedback, hierarchical coupling

A new paradigm of structure and function

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abstract:informationconnectsstructureandfunction。 Pen "Fun" Pavilion www.biquge.infoheterogeneousspace

Refine physical concepts, theoretical structures, and the essence of phenomena

Group theory, special standard, group representation, construction symmetry translation is the cancellation of each item

Renormalize, subtract infinity from infinity to obtain finite terms

Look for physical entities that are similar such as symmetrical translations of intensity to construct interacting connections

The universality of the effect is related to the group representation

Does the eukaryotic genome containing a small number of repetitive sequences of a single order indicate that the structures required for information expression are systematized?

Nucleoid: DNA loop--------- nucleus: DNA double-stranded and histone (XX-like means the initial structure of the structure)

The orbital interaction ------- the spin of the shell model of the nucleus, which is considered mathematically manipulable such as the orbit of Taylor's expansion, which can be influenced by the layers, but the orbits have different energy levels, which can be affected by external energy input or internal decay. And each orbital has Pauli-incompatible electron movements, corresponding to the human body without two individuals in exactly the same state, temporarily being the inside of the cell and the matrix of information. In general, orbits are quantized-coupled.

Does plasmid invasion affect the hierarchical formation of DNA, RNA, and protein, and is cancer related to incomplete energy level breakage?

Conservation: quantity, quality, quantity and even conserved quantity

Linkers, transitors are evolutionary of whether they are the original structure, or maybe more fundamental structures

Choice is all possible, but reality is selectively expressed, or observed

The productivity of the phase factor requires field theory

The invariance of time inversion admits that the time dimension is not included in the system at this stage, because there is no causal relationship, and it is more of an observational effect

The role of different derivatives of Taylor's polynomial at different positions, such as the attenuation of wave transfer

The invariance of local field theory--- the CPT theorem--- the principle of symmetry

The allocation function is determined by the maximum eigenvalue of the transformation matrix

Transformation matrix diagonalization

For the interaction between particles, the root of the allocation function is all in a unit circle----- any lattice with attraction interaction.

There is no heavy root when the coupling strength changes

Conservation is related to the invariance of a theory when the phase changes

Interactions are based on principles --- normative invariance

A singular particle always works in synergy with other singular particles to produce ------ coupled whole

Symmetry also follows Bell's inequality

Symmetry, as a quantum, is immediately discrete, then it is related to probability, and finally there is a relationship between the law of choice to construct the system.

Resonance of large symmetry groups

There are magnetic flux quanta in the superconducting ring

The energy level may be the eigenvalue of an operator, and the matrix a acts (like an operator) on a vector a, and the result is only equivalent to multiplying that vector by a constant λ. That is, a*a=λa, then a is the eigenvector of the matrix a, and λ is the eigenvalue of the matrix a, that is, the symmetry invariance of the operation.

Structure: Genes are coupled in one dimension in parallel in the DNA sequence, and they are coupled with histones to form a three-dimensional configuration, and various modifications of DNA such as methylation can be regarded as fractional dimensions; different positions of the DNA sequence transcribe different RNA (non-coding regions) or proteins (coding regions), and their one-dimensional structures are generally continuous, but they are discrete and discontinuous respectively, and the latter can achieve coupling in other dimensions, that is, function. RNA is divided into mRNA, rRNA, and tRNA, although the structural units are all ribonucleotides, but the unit information of another dimension is different, which is coupled to similar DNA sequences, and scattered projections in the cell space, and finally coupled with proteins, DNA: RNA is translated into proteins, and ultimately affects the transcription of DNA

Does the interference of phenomena presuppose that the action can be treated as a wave and treated with a wave equation?

Based on the large order of magnitude of individuals have more degrees of freedom, hundreds of millions of electron volts of subatoms - millions of nuclei - several volts of electrons - neutral atoms - emphasis on relations, molecular bonds - group bonds, peptide bonds

The difference between the cross-section of large-angle and small-angle micro-dispersed emission is more than 10^10 times, and hadrons are regarded as extensible objects

The Yang-Mills noncommutative gauge field (nonlinear partial differential equation) is the basis of the interaction, which predicts the propagation of the intermediate boson of the weakly interacting intermediate boson, that is, the individual reality of information exchange

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