Due to the lack of logic systems and methods to improve the production process in lean production, it is difficult to consider the problem systematically, comprehensively and innovatively. The conjugate pair analysis in the extension innovation is used to comprehensively analyze the contradictions encountered in the lean production process, so as to solve the contradictory problems more effectively. Taking the problems encountered in lean production as examples, the method of extenics is used to formalize and quantify the goals and problems, and the optimal solution is obtained by extension innovation. From the examples, it can be found that the contradictions encountered in lean production are effectively solved by conjugate analysis, and the production process is greatly optimized.

Game theory is one of the most effective ways to solve the balance problem of all parties in the same environment. But fundamentally, the contradiction between seat rate and ticket price is always the most prominent problem in the pricing model. Based on the game between airlines and passengers as the model, a dynamic model is set up to balance the seat rate and ticket price. The original model is analyzed and optimized in theory using knowledge and tools including incompatibility problems and solutions, divergence tree, extension transformation and extension set. According to the characteristics of this model, the model for civil aviation ticket prices and load factors not only provides a solution to the contradiction between, but also applies to a certain extent in solving other perishable product sales prices and sales in the contradiction.

Rural tourism is an important way to carry out the strategy of promoting rural development. The accessibility of rural tourist destinations is an important factor affecting the development of rural tourism. At present, inadequate supply of rural tourist public transport services has become one of the major bottlenecks constraining the development of rural tourism. The contradictory issues in rural tourist public transport services supply and demand are analyzed, based on constructing the basic database of the rural tourist public transport service supply model, with contradictory issues identified, contradictions through the extension transformation resolved, and finally new modes formulated. The rural tourist public transport service supply mode is of great significance in promoting the rapid development of rural tourism.

Based on the comparison and analysis of TRIZ theory and Extenics in solving contradiction, a new innovative method that combines the Extenics and TRIZ is proposed. Firstly, the primitive model of Extenics is used to analyze the conflict of the problem. Secondly, the extension analysis is used to initially explore solution. If the analysis is successful, the possible solutions are obtained by further extension transformation. If the analysis is difficult, the TRIZ theory will be introduced to make solution prediction, and the possible solutions can be achieved by extension transformation based on the guidance of TRIZ principle. Finally, the ideal solution about the problem is obtained by the application of advantageous evaluation method of Extenics. According to the new method, the structure of the grinding equipment is improved, which demonstrates that the fusion mechanism of TRIZ and Extenics can improve the efficiency of solving the problem and obtain an ideal solution.

In recent years, the domestic number of patents has maintained a rapid growth. There are a lot of design ideas in the patent text, and the extraction of the patent product design knowledge can also inspire designers to innovate and invent. With the concept of functional ontology proposed as a method and knowledge of patent text extracted to obtain the knowledge of the patent product structure, function and effect, a function analysis is carried out to obtain the total functions, divided functions, subfunctions and corresponding structural components. Then a model of the functional structure of patent knowledge is established. The functional structure model of patent knowledge shows the corresponding relationship between the function and structure of the patent products. By revealing the original design intent, it may help those who want to creatively redesign this product.

To analyse the logical feasibility of Decision Trees algorithm in theory, the choice of the note, the extraction of rules and the prediction in decision tree are studied from a novel perspective with extension logic and extension thinking modes. By analysing the processes of note-choice and rule-building in decision tree based on the principles of rhombus thought and element transformation, and evaluating the prediction of decision tree based on element divergence in Extenics, it's found that the logic of decision tree conforms to the concept of Extenics which is used to solve contradictory problems. Besides, an evaluation system for the classification result of decision tree is built based on the Extenics theory.

Facing the development challenges of the current Internet-based equity crowd-funding platform, a research is conducted on the ideas, based on blockchain technology, of re-framing the equity crowd-funding platform in a multiplicity of dimensions, and establishing the whole industry chain solution. To achieve this objective, a peer-to-peer trading infrastructure needs to be set up first for digital assets. Then based on the consortium blockchain technology, a blockchain network can be built. After that the game theory and model are used to construct the mutual trust mechanism, and the underlying blockchain protocols for business processes designed so that different participants of the platform will join the blockchain alliance by following the protocols to join the digital asset network and ecosystem. The software architecture is redesigned and the functions and business processes of equity trading system and equity crowd-funding system implemented by using blockchain technologies. The rules of the crowd-funding project are transformed into codes of smart contract and all the codes, data and states saved as blockchain ledgers. By the above-mentioned attempts, the problems of equity crowd-funding scenario are solved by shortening the entire equity transaction process from a few days to minutes.

Developing public transportation is an important means to solve urban traffic congestion. While developing public transport, the cost of residents' travel should also be taken into account. In order to analyze the travel expenditure cost and time cost of urban residents, it is proposed to take Guangzhou traffic IC card data as a research object, using the kernel density estimation algorithm to model the traffic IC card data for analyzing residents' travel cost law. Then the model generalization ability is tested to prove that the kernel density estimation model can objectively and accurately reflect the resident travel law. Finally, the travel happiness index is analyzed, which can provide reference for the formulation of government subsidy policy.

Considering comments' objectivity, subjectivity, the angle of time dimension and critics and network environment, combining with the elaboration likelihood model (ELM), a research is conducted into the center path of comments' quality and timeliness and the edge path of comment number, commenters' creditworthiness and influence of the network environment cognition on purchase decisions, and a theoretical model built and verified in order to enrich the mechanism of online reviews on purchasing decision. A questionnaire survey is used to collect data, and SPSS22.0 software used to analyze the questionnaire data so that the main effect of online comments on purchase decisions, mediating effect of the trust tendency and comments' credibility can be tested. The results indicate that the comments' timeliness, number and commenters' creditworthiness positively affect customers' purchase decisions through comments credibility, and that the trust tendency will adjust the consumers' credibility perception of the high quality review. High trust tendencies can regulate consumers' perception of the credibility of different quality reviews, and high trust tendencies also have a higher perception of the credibility of high quality reviews.

A study is conducted on bipedal robot stepping over large-size obstacles without collision with the assistance of extra external forces. Because the humanoid robot needs to shift greatly its center of gravity when crossing large-size obstacles, it is prone to fall or the crossed distance is limited. The method of adding external forces can effectively improve the robot's crossing performance. Firstly, a simulation model of biped robot is established by tree-shape data structure as well as relative axis vector and relative position vector. Then, by planning multiple order curves of stepping trajectory, introducing local obstacle avoidance of nonlinear constraints in the whole process along with the other nonlinear constraints, a changeable variable nonlinear optimal model is established for the bipedal robot to surmount and avoid obstacles. In the end, the 2D gait of obstacle crossing and avoidance of the plane 6 freedom redundant robot is designed. It is verified by the simulation to cross the obstacle with a height up to 43% of its legs. Finally, the prototype steps over a 15 cm-high obstacle, which reaches 32% of its leg length, and the effectiveness of the method is verified.

Hydroxyl radical (·OH) is the most active and aggressive molecule with very high reaction rate constant, electronegativity and strong oxidation electrode potential. The advanced oxidation technology using ·OH as oxidant has broad application prospects. Starting from the production method and basic principle of ·OH, the principles, advantages and disadvantages of Fenton method, Electro-Fenton method, ultraviolet catalytic oxidant method, ultrasonic oxidation method and other compound methods are introduced. Finally, the application progress and limitations of the above methods in wastewater treatment, soil remediation, landfill leachate treatment, heavy metal complex treatment and ultra-precision processing of optical materials are reviewed.

A study is conducted on the following nonlinear Schrödinger equation:

where N ≥ 3, u:R^N→R is a positive function, f(x, t) tends to p(x) and q(x)∈L∞(R^N), respectively, as t→0 and t→+∞. Assuming some simple assumptions on f(x, t), V(x), but not requiring any symmetry property on them, it is proved that problem (P) has a positive solution and a ground state.

A discussion is conducted on the consensus problem of first-order multi-agent systems with random delays. Firstly, the model reduction method is used to simplify the multi-agent system with random delay into a non-delay system. And then a communication protocol is designed to achieve the consensus of the simplified system, so as to achieve the consensus of the original system. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.

It is well known that attaching fins on the tube surfaces can enhance the heat transfer into and out of the phase change materials. The results of an experimental study of the thermal characteristics of finned coil latent heat storage unit (LHSU) using paraffin as the phase change material (PCM) are presented. The measurement is carried out under 3 fin pitches and 3 water flow rates in the charging and discharging process respectively. The temperature distribution and heat transfer coefficient in different cases are analyzed. It is concluded that the heat storage efficiency and heat transfer coefficient of this type of phase-change heat storage unit are proportional to the flow rate and inversely proportional to the spacing of the fins.