Systemic functional linguistics and Bernstein's sociology of education have always had a tradition of interactive dialogue. Systemic functional linguistics examines language from the social context and constructs its own social semiotics from the perspective of social semantics; Bernstein's sociology of education itself uses systemic functional linguistics as the language theoretical framework for discourse analysis. See each other as the basis of dialogue for your own theoretical development. At present, the dialogue between the two has entered the fifth stage[1], and the semantic wave is the focus of the dialogue between the two. Different from scientific discourse, the function of popular science discourse lies in its social education. Knowledge popularization involves the interactive construction of different types of semantic waves. As shown in Figure 1 below, the fractal resonance effect of semantic waves was applied in the analysis of post-war female role orientation.

The semantic, temporal and spatial characteristics of semantic waves are more typical and prominent in English popular science discourses than other field discourses. What kind of distribution characteristics of different types of semantic waves in English popular science discourse, and what kind of interactive relationship they have are the focus of this research. Specifically, this study will build a small corpus of English popular science texts, further analyze the differences between the peaks and troughs of different types of semantic waves, and then analyze the resonance effect between different types of semantic waves from the horizontal and vertical perspectives, and further clarify the grammar and language resources for constructing different types of semantic wave resonance effects.

In recent years, most of the semantic wave-related researches on legitimized code theory have focused on a certain disciplinary field, paying attention to the interrelationship between the semantics, specialization, cumulative learning and knowledge construction of disciplinary knowledge structure. Georgiou[2] conducted a qualitative analysis of the physical study assignments of college students in science education based on the principle of semantic gravity, indicating that the legitimacy of the answer depends on the specific semantic dependency range, and the results show that the principle of knowledge organization provides a way to improve science education. Based on the learner corpus, Morgan[3] analyzed the relationship between metadiscourse and propositional content in college students' academic writing from the perspective of semantic gravity, and believed that academic writing interacted with readers and propositional content, but college students did not fully grasp the Arguing resources and thus lack of awareness of interacting with readers. Humphrey & Robinson[4] constructed a 4×4 analytical framework of knowledge development and academic reading based on the semantic wave concept of legitimized code theory, providing teachers and students with criteria for language learning.

In addition, Maton[5] pointed out that due to the specialization principle of legitimizing code theory, there are problems of context dependence and semantic compression that cannot be solved by themselves in independent studies. The issues of context dependence and semantic compression overlap within the dichotomous categories in Bernstein's code theory, educational discourse, and knowledge structure theory[6]. Bernstein is concerned with the internalization of social structures, rather than the production principles of officially sanctioned knowledge hierarchies, so his semantic organizing principles require abstract conceptualization[7]. In a collaborative dialogue with Systemic Functional Linguistics, the semantic principle of legitimizing code theory raises the question of how linguistic features such as grammatical metaphors are represented in knowledge-building practices, so that these factors all contribute to a complementary The theoretical framework of sexuality is used to interpret new aspects of things and phenomena[8].

Humphrey & Robinson pointed out that the movement of semantic waves is reflected in the unpacking and packing of subject knowledge contained in high-risk discourses, and the concepts of semantic gravity and semantic density comb through teachers’ interpretations and students’ written discourses. factors, but does not provide a metalanguage that explicitly embodies the linguistic resources involved[9]. Therefore, from the perspective of social symbols, the identification of semantic waves involves the construction of language resource frameworks. The type of meaning construction resources provided by systemic functional linguistics just makes up for this deficiency, that is, the relationship between language and context is reciprocal: given a specific context, the involved language resources can be predicted; given a specific language resource, the Relevant context can be predicted.

Humphrey, Martin, Drefus & Mahboob established a 3×3 language resource analysis framework by highlighting how specific language resources are related to the meaning system in specific contexts, in which field and concept function Mutual mapping[10], constructed by different configurations of process, participants, and environmental components in the discourse; tenor and interpersonal function mapping each other, constructed by grammatical resources such as evaluation, modality; structure, linking structure construction. At the same time, the description items of each language resource can be identified at different levels, namely the overall text, each discourse phase (phase), and sentences (including clauses). Whether the beginning, development, and ending constitute subject-specific topic knowledge or subject-specific knowledge, that is, the “sandwich”[11] of power writing proposed by Martin; discourse stage analysis whether topics are defined or classified according to subject standards; sentence level In the above, whether the noun phrases represent the specialized terms in the discipline, whether the verb phrases represent the process related to the genre, whether the environmental components are clear and the necessary time and place, etc., because there are many specific description items related to each function, they will not be listed here. enumerate. In summary, the 3×3 analytical framework provides a nine-element matrix for linguistic resource analysis based on the resonant basis of context and meta-functions.

Based on the 3×3 language resource analysis framework, Humphrey & Robinson further differentiated conceptual meaning into two sub-categories: empirical meaning and logical meaning, which can be seen that, consistent with the context-metafunction resonance of Hasan, the language resource analysis framework constructed by Humphrey & Robinson embodies the mutual predictive relationship between metafunction and situational context, and further enhances conceptual function Divided into empirical function and logical function, thus constructing a 4×4 language resource analysis framework. The 4×4 language resource analysis framework focuses on the resonant relationship between context and meta-function, and the mutual resonant relationship between the two is reflected in the discourse as a product, which separates the empirical function and the logical function from the conceptual function. The language resource framework for more sophisticated optimization. Thus, the analytical framework provides a sixteen-cell matrix for identifying and defining important semantic wave symbol resources in a specific context.

The resonant frequencies of odd and even modes can be obtained by solving the following equations:

On the basis of referring to the 3×3 and 4×4 semantic wave language resource analysis framework, according to the fractal approach of semantic wave, this paper makes some modifications to the 4×4 semantic wave language resource framework, so as to construct the language of three semantic wave types in English popular science discourse Resource identification framework.

From the perspective of systemic functional linguistics, Martin's concepts of quality and existence correspond to semantic gravity and semantic density, which are incorporated into the framework of meta-functions. The fractal construction of cognitive semantic wave in this study takes semantic density as the priority, which is from the perspective of language field, and is aimed at the conceptual resources of language, and the above-mentioned identification framework is the identification of a certain semantic framework of semantic wave., rather than just the definition of a semantic frame of the high semantic plane or the low semantic plane. Therefore, the 4×4 language resource identification framework is a language resource identification mode that provides semantic attraction and semantic density at a relatively macro level, and it is the definition of language resources with different semantic frameworks that may appear, but this is not the semantic wave fractal of this paper. The identification of frame resources does not correspond exactly, so the above-mentioned revised identification frame is only the identification and definition of different semantic frames of conceptual meaning resources.

There is no exact solution for the anharmonic oscillator system, and it can only be approximated, as shown in the following formula:

Temporal semantic waves and spatial semantic waves do not have fluctuations, so there is no identification and division of peaks and troughs. The undulating movement not only reflects the moving direction of the semantic wave, but also identifies the semantic amplitude of the semantic wave. From the perspective of the lexical grammar of semantic wave fractals, the language resources of wave crests and troughs also have different semantic gravity and semantic density, and different grammatical traits and fractal level movements represent the entry point and end point of semantic wave movement, and build different semantic frameworks. Therefore, the analysis of the construction resources of the peaks and troughs of conceptual semantic waves is helpful to further reveal the linguistic resources of the fractal construction of semantic waves in English popular science discourses.

In this paper, the language resources of 341 conceptual semantic waves are cross-analyzed by transitive functional roles, fractal levels, and peaks and troughs, as shown in Table 1 below:

The peaks and troughs of conceptual semantic waves

Crest | Trough | |||
---|---|---|---|---|

frequency | standard frequency | frequency | standard frequency | |

total frequency | N=330 | N=367 | ||

participant | 166 | 9.60 | 90 | 5.20 |

process | 2 | 0.12 | 7 | 0.40 |

environmental | 23 | 1.85 | 21 | 1.21 |

icon | 90 | 5.20 | 75 | 4.34 |

sequence | 49 | 2.83 | 174 | 10.06 |

It can be seen from the above table that conceptual semantic waves with different bands have different entry points and end points of semantic waves, which are constructed by different transitive functional roles. Without involving the moving direction of the semantic wave, the construction of wave crests presents a decreasing trend of participants, diagrams, sequences, environmental components, and processes; the construction of wave troughs presents processes, environmental components, diagrams, participants, and sequences. an increasing trend. Different functional roles of transitivity reflect different grammatical characters, different moving directions of semantic waves, and different semantic amplitudes of semantic waves.

In addition, from the perspective of the transitive functional roles themselves, the transitive functional roles of different grammatical traits also have different distribution characteristics at different fractal levels. It shows that the conceptual semantic bands are developed at the fractal level above the phrase, and the components of each grammatical attribute are also distributed differently at different fractal levels. The reason why the word level does not appear has been explained above and will not be repeated here. Among them, the participants showed a decreasing trend at the clause complex, clause, phrase, and segment level; the process showed a decreasing trend at the clause complex and clause level; the environmental components showed a decreasing trend at the clause complex, The levels of sentences, segments, and phrases show a decreasing trend; the diagrams decrease sequentially at the levels of clause complex, clause, segment, discourse, and phrase; the sequence is in clause complex, segment, discourse, and small The sentence level is in descending order. The distribution of different grammatical trait components at different fractal levels fully reflects the different wave lengths, semantic amplitudes and fluctuations of movement of conceptual semantic waves.

Let's look at the construction of different grammatical traits at different fractal levels in the peaks and valleys. It can be found that the crests of semantic waves have different empirical grammatical properties, such as participants, processes, environmental components, diagrams, sequences, and semantic waves also have different fractal levels, such as words, phrases, clauses, Clause complex, paragraph, discourse. At each fractal level, participants have the highest frequency of constructing wave crests, followed by diagrams, followed by sequences, followed by environmental components, and the lowest frequency of processes. Nevertheless, the wave crest constructions of each semantic wave show roughly the same variation trend. That is to say, it rises with the rise of the fractal level, and gradually declines when it exceeds the fractal level of the clause complex, especially the environmental components are almost the same as the process, as shown in Figure 2 below:

In addition, although the peak construction of semantic waves shows a trend of convergence, different grammatical traits have differences in semantic gravity and semantic density at different fractal levels, and different grammatical traits appear at different fractal levels. The vertices are not consistent, and thus the semantic magnitudes vary.

In contrast, the trough of conceptual semantic waves does not have such a variation trend, see Figure 3 below:

From the above figure, it can be found that the trough of the semantic wave does not show a convergence variation trend at each fractal level and different grammatical traits, that is to say, at different fractal levels, there is no mutually determined relationship between the peaks and troughs of the semantic wave. For example, when a crest is a participant at the phrase level, the trough is not necessarily a participant at the phrase level, it could be a participant at the word level or it could be an icon at the clause complex, or anything else, and there is no mutually restrictive relationship that must correspond to each other. The lack of such a one-to-one correspondence is considered in this paper to be the embodiment of the difference in the magnitude of different semantics, otherwise the conceptual semantic wave will be the same as the spatial semantic wave or the temporal semantic wave, and it will be presented as a semantic flat line. In other words, the construction of the crest must be embodied by the grammatical traits above the trough or the fractal hierarchy below the trough, otherwise it will not be constructed as a crest.

However, different from the above, the cross-analysis of transitivity structure, semantic wave amplitude, peaks and troughs shows that in different semantic wave amplitudes, the distribution characteristics of peaks and troughs of different grammatical traits reflect a mutual correspondence., as shown in Figure 4 below:

In the above figure, the horizontal axis represents the semantic amplitudes of different semantic waves, and the peaks and troughs are participants (set1), icons (set2), environmental components (set3), sequences (set4), and processes (set5), respectively, and the vertical axis is Characterizing the frequency probability of each grammatical trait on different semantic wave amplitudes, it can be found that the fluctuation of the peak corresponds to the fluctuation of the trough, that is, the sequential decrease of each grammatical trait in the peak corresponds to its sequential increase in the trough.

This research is not only a theoretical integration of semantic waves under the integration framework of systemic functional linguistics and legalization code theory, but also a legalized interpretation of the knowledge popularization process of English popular science discourses. The legalized code theory provides a new dimension for the linguistic study of semantic waves, and the fractal resonance theory of systemic functional linguistics provides lexical grammar resources for the understanding of semantic waves. and resonance can be recognized. The integration of systemic functional linguistics and legalization code theory enhances the explanatory power of the two in understanding different social contexts and texts as social symbols.

Based on the integration trend of legalization code theory and systemic functional linguistics, in view of the shortcomings of this study, the future research on semantic waves can be improved and perfected from the following aspects: (1) To further distinguish between different contexts Contextual fractal organization of levels. (2) Focusing on the semantic level, within the scope of the tenor itself, explore the relationship between the value semantic wave and the interpersonal meaning of system functional linguistics. (3) At the lexical-grammatical level, by expanding the scale of the corpus, beyond the sequence internal environment of the semantic wave fractal, and based on the mutual predictive relationship between the context and the text, explore the speciality of discourse practice in social contexts such as the super-sequential environment or the inter-semiotic environment. and semantics, it can further reveal the educational and legitimacy of discourse practice and knowledge construction.

#### The peaks and troughs of conceptual semantic waves

Crest | Trough | |||
---|---|---|---|---|

frequency | standard frequency | frequency | standard frequency | |

total frequency | N=330 | N=367 | ||

participant | 166 | 9.60 | 90 | 5.20 |

process | 2 | 0.12 | 7 | 0.40 |

environmental | 23 | 1.85 | 21 | 1.21 |

icon | 90 | 5.20 | 75 | 4.34 |

sequence | 49 | 2.83 | 174 | 10.06 |

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based on Internet big data 3D Mathematical Modeling Technology in Visualized Aerobics Dance Rehearsal System Children’s cognitive function and mental health based on finite element nonlinear mathematical model Fractional Differential Equations in Electronic Information Models BIM Engineering Management Oriented to Curve Equation Model Leakage control of urban water supply network and mathematical analysis and location of leakage points based on machine learning Analysis of higher education management strategy based on entropy and dissipative structure theory Prediction of corporate financial distress based on digital signal processing and multiple regression analysis Mathematical Method to Construct the Linear Programming of Football Training Multimedia sensor image detection based on constrained underdetermined equation The Size of Children's Strollers of Different Ages Based on Ergonomic Mathematics Design Application of Numerical Computation of Partial Differential Equations in Interactive Design of Virtual Reality Media Stiffness Calculation of Gear Hydraulic System Based on the Modeling of Nonlinear Dynamics Differential Equations in the Progressive Method Knowledge Analysis of Charged Particle Motion in Uniform Electromagnetic Field Based on Maxwell Equation Relationship Between Enterprise Talent Management and Performance Based on the Structural Equation Model Method Term structure of economic management rate based on parameter analysis of estimation model of ordinary differential equation Influence analysis of piano music immersion virtual reality cooperation based on mapping equation Chinese painting and calligraphy image recognition technology based on pseudo linear directional diffusion equation Label big data compression in Internet of things based on piecewise linear regression Animation character recognition and character intelligence analysis based on semantic ontology and Poisson equation Design of language assisted learning model and online learning system under the background of artificial intelligence Application of machine learning in stock selection Comparative analysis of CR of ideological and political education in different regions based on improved fuzzy clustering Action of Aut( G ) on the set of maximal subgroups ofp -groupsThe internal mechanism of corporate social responsibility fulfillment affecting debt risk in China: analysis of intermediary transmission effect based on degree of debt concentration and product market competitive advantage Study on transmission characteristics in three kinds of deformed finlines based on edge-based finite element method Asymptotic stability problem of predator–prey system with linear diffusion Research on loyalty prediction of e-commerce customer based on data mining Algebraic Equations in Educational Model of College Physical Education Course Education Professional English Translation Corpus Under the Binomial Theorem Coefficient Geometric Tolerance Control Method for Precision Machinery Based on Image Modeling and Novel Saturation Function Retrieval and Characteristic Analysis of Multimedia Tester Based on Bragg Equation Semiparametric Spatial Econometric Analysis of Household Consumption Based on Ordinary Linear Regression Model Video adaptive watermark embedding and detection algorithm based on phase function equation English Learning Motivation of College Students Based on probability Distribution Scientific Model of Vocational Education Teaching Method in Differential Nonlinearity Research on mobile Awareness service and data privacy Protection based on Linear Equations computing protocol Vocal Music Teaching Model Based on Finite Element Differential Mathematical Equations Research on threat assessment problems of island air defence system based on the leader-follower model Studying a matching method combining distance proximity and buffer constraints The trend and influence of media information Propagation based on nonlinear Differential equation Research on the construction of early warning model of customer churn on e-commerce platform Study on inefficient land use determination method for cities and towns from a city examination perspective A sentiment analysis method based on bidirectional long short-term memory networks Evaluation of ecosystem health in Futian mangrove wetland based on the PSR-AHP model A study of local smoothness-informed convolutional neural network models for image inpainting Towards more efficient control of the ironmaking blast furnace: modelling gaseous reduction of iron ores in H _{2}-N_{2}atmosphereAlgorithm of overfitting avoidance in CNN based on maximum pooled and weight decay Mathematical Calculus Modeling in Improving the Teaching Performance of Shot Put Application of Nonlinear Differential Equation in Electric Automation Control System Higher Mathematics Teaching Curriculum Model Based on Lagrangian Mathematical Model Decisions of competing supply chain with altruistic retailer under risk aversion Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations The Marketing of Cross-border E-commerce Enterprises in Foreign Trade Based on the Statistics of Mathematical Probability Theory Application of Linear Partial Differential Equation Theory in Guiding Football Scientific Training The Evolution Model of Regional Tourism Economic Development Difference Based on Spatial Variation Function System Model of Shipping Enterprise Safety Culture Based on Dynamic Calculation Matrix Model The Inner Relationship between Students' Psychological Factors and Physical Exercise Based on Structural Equation Model (SEM) Analysis and Research on Influencing Factors of Ideological and Political Education Teaching Effectiveness Based on Linear Equation Fractional Differential Equations in Sports Training in Universities Examination and Countermeasures of Network Education in Colleges and Universities Based on Ordinary Differential Equation Model Higher Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model Chinese-English Contrastive Translation System Based on Lagrangian Search Mathematical Algorithm Model