According to the plan of “Healthy China 2030”, to integrate tourism with other industries under the great-health institution will be the focus of industrial restructuring and upgrading in Guizhou province. On the basis of the current development of economy and society in Guizhou province, an extension analysis method is used to obtain the target matter-elements and the conditional ones of each industry, and a variety of extension ideas to integrate tourism are generated through extension transformation method, and some feasible ideas selected by using the extension evaluation method, and then the detailed schemes obtained according to these feasible ideas. The industrial integration scheme generated by the expansion planning method is helpful for promoting the sustainable development of tourism in Guizhou province under the big health, and also for the economic and social development as well as the ecological and environmental protection, and it may provide a formalized idea for the government to formulate the reasonable development policies for the industrial integration.

Economic growth is one of the core content of economics research. While the speed of economic growth reflects the level of economic development of an area in a certain period, it's also used to measure overall speed of economic growth. In this research, extension catastrophe theory is used to study the evaluation of economic growth of all provinces in our country in 2016. From the view of economics, an evaluation index system of economic growth is established according to the principle, and the extension dependent function is set up on the basis of the characteristics of indexes to get the relating degree. Using the extension catastrophe progression method, the extension catastrophe value of indexes is obtained and converted to a comprehensive value. Finally, an analysis of the reasons of the ups and downs of economic growth is conducted and the feasibility and availability of this method is assessed with actual situation by means of the comprehensive assessment value of each provinces.

By applying the Extenics Conjugate Theory into the analysis of patent resources, a study is conducted on issues including the materiality of the virtual and the real, the systematic property of the soft and the hard, the dynamic nature of the covert and the overt, and the contrariness of the negative versus the positive. The analysis method of Extenics conjugate theory is adopted to study the conjugate relation between the patent and stuff, and to solve various contradictory problems of patent creation, protection and application. It contributes a lot to the creation of the social and economic value of patents through the application of the Extenics Conjugate Theory for wide and deep resources analysis of patents, for the warning of potential risks and hidden dangers, for proper patent layout in domestic and worldwide market, and for the future development by high breadth patent navigation.

Physically based fluid simulation method can obtain realistic simulation results by solving the fluid governing equation directly, but numerical dissipations are liable to occur, thus causing the loss of fluid details. In this research, it is proposed to simulate the fluid with vortex particles. Firstly, the vorticity field is obtained by solving the curl form of the governing equation, upon which it is converted into an incompressible velocity field. This method greatly reduces numerical dissipations, automatically guaranteeing that the final velocity field is divergence-free, and thus can preserve much more fluid details. In addition, aiming at the performance bottleneck of the algorithm in solving Poisson equation for the vorticity-to-velocity conversion, an efficient preconditioned conjugate gradient method is designed and implemented based on GPU (graphics processing unit) to solve this equation, which can be more than ten times faster than the existing solvers. Experimental results show that the proposed algorithm can achieve more realistic fluid simulation results than the existing methods, and the simulation speed is significantly improved.

For analyzing the differences in human heart rate variability under different physiological conditions, and overcoming the problem of analyzing with only single time scale in traditional heart rate variability analysis methods, an HRV analysis method combining the complementary ensemble empirical mode decomposition and modified permutation entropy algorithm is proposed to obtain an indicator named CEEMD-mPE for measuring the obvious differences from HRV time series. The experimental results based on the MIT-BIH arrhythmia database show that our proposed HRV analysis method outperforms the other existing methods based on entropy.

Social network recommender systems combining strong and weak ties and interests are proposed. First, social relationship sets for customers are built based on the strong and weak ties, taking into account the breadth and depth of information transfer. Then, based on the association rules to improve the state transition probability of the PageRank Algorithm, the modified matrix is capable of measuring the social closeness between different customers more reasonably. Meanwhile, aiming to increase diversity and novelty of the systems, the similarity of interests between different customers is considered giving them the weight of voting in the candidate projects. Finally, the candidate items are scored and Top-N filtered to obtain a recommendation list. As is shown in the experiment results, the algorithm is more reasonable and effective than the reference algorithms.

Art font rendering is one of the important techniques of media typesetting. How to provide an efficient art font rendering method to realize the diversity and clearness of the special effects of generative art fonts is an urgent problem for technicians in this field. With the help of Conditional Generative Adversarial Networks (CGAN), a two-stage art font rendering method that includes style transfer processing and enhancement processing is proposed to achieve high quality rendering of art fonts. First, by style transfer processing, a stylized network model is built to render various 2D or 3D special effects on a variety of input fonts. Then, by enhancement processing, a sharpening network model is built to sharpen the generated art font images, which overcomes the defect of fuzzy image generation in a single GAN network. The experimental results show that, comparing with existing methods, this scheme has a better performance for generating more diverse and more clear special art fonts, whose texture details are relatively rich, and are not limited to the text skeleton. At the same time, this scheme can also improve the efficiency of art font rendering in the batch processing and has a higher practical value.

A revenue Nash Equilibrium model is constructed among the travel agencies which adopt different financing strategies and are affected by risk appetite under two kinds of monetary policies. The utility function contains a revenue component and a financing component. An equilibrium revenue can be calculated by exploring an equilibrium quality, quantity and individuation of the travel agencies which adopt different financing strategies. The governing Nash equilibrium conditions are stated and the variational inequality formulation provided to establish existence of the equilibrium solutions. Numerical case studies are also conducted on the tourist products of online sales companies.

With the development of monitoring technology, early warning of heritage buildings protection can be provided to prevent possible damages including natural environment, human activities and aging of building bodies. Firstly, an overview is given about the relevant theories and practical experience of heritage buildings monitoring and preventive conservation in China and abroad. Then, taking the mural protection research of Guia Chapel in Macao as an example, the set of monitoring objects, the selection and implementation of monitoring information collection technology, the collection and management of monitoring data, and the statistics and analysis of monitoring data are discussed. Finally, based on the mining and analysis of multi-year monitoring data, a series of suggestions are made for the improvement of the building construction of Guia Chapel.

Generally, the analytic solution for fractional differential equations is hard to obtain. The difference scheme of time fractional diffusion equations with periodic boundaries is mainly studied, adopting the L2-1_σ formula in temporal direction, and the second order difference approximation in spatial direction. The proposed scheme can obtain second order accuracy globally. The unique solvability, stability and convergence of the proposed scheme are proved by the Fourier method. Finally, the specific fractional models are solved numerically by MATLAB language. Numerical experiments are carried out to support the theoretical results.

In this research, the sets of spherical roots, real roots, isolated complex roots, pure imaginary quaternion roots and roots in R + R+ Rj and R + R+ Rk of a quaternion polynomial Q(t) are determined by corresponding these sets to the sets of real or complex roots of some real or complex polynomials determined by Q(t). Thus, the counting and classifying methods for such polynomials can be used for the counting and classifying of the aforementioned roots of quaternion polynomials.

A speed sensorless control strategy of dual three-phase permanent magnet synchronous motor (DTP-PMSM) is investigated based on an adaptive sliding mode observer (SMO) and multi proportional resonant (PR) control with the consideration of the fundamental component in α-β subspace and harmonic element in x-y subspace. First, a current sliding mode observer is designed in α-β subspace based on vector space decomposition transformation for DTP-PMSM model by replacing signum function with hyperbolic tangent function as switching function to reduce system chattering and obtain the equivalent signal of back electromotive force (EMF). Then, an adaptive observer of back EMF is built to estimate the velocity and rotor position of DTP-PMSM, which eliminates the low-pass filter and phase compensation module in speed sensorless control system and improves the estimation accuracy. And then, PR controllers are employed in α-β subspace, which can track and control the given current without static error; also PR controllers are introduced to x-y subspace to reduce the 6k±1 th, k=1, 3, 5, … harmonics, which results in a decrease of power consumption and inverter capacity and improvement of control performance. Simulation results show the feasibility and effectiveness of the proposed method.

Titanium alloy is the most widely used metal material in 3D printing, which has the advantages of low density, high specific strength, good heat resistance, excellent corrosion resistance and good biocompatibility. Different from the traditional manufacturing technology, 3D printing technology has a very high demand for powder materials, and the quality of powder will directly affect the performance of 3D printing components. The influence of impurity content, fluidity and bulk density in the 3D printing process is described. Then the principle, advantages and disadvantages of hydrogenation and dehydrogenation, gas atomization, centrifugal atomization and plasma atomization are reviewed. Finally, according to the present research situation at home and abroad, methods of improving titanium alloy powder are discussed.

The long-distance water conveyance system was simulated by a ductile iron pipe circulation device to study the changes of the main water quality indexes of the high-quality surface water source Wanlv Lake raw water after normal and separately contaminated by algae, NH₄⁺-N and NO₂^- -N. The test results showed that when the raw water was not contaminated, the DO showed a downward trend, and NH₄⁺-N, NO₂^- -N and turbidity were all maintained within the limits of the Surface Water Standard of Class I requirements; when subjected to algae pollution, the DO concentration decreased and turbidity, NH₄⁺-N and NO₂^- -N increased along the course. When being polluted by NH₄⁺-N and NO₂^- -N, due to biodegradation of the biofilm of the pipeline, it showed great purification ability on NH₄⁺-N and NO₂^- -N, with removal efficiency respectively being 61.79% and 68.05%. In summary, the Wanlv Lake suffered from poor water quality stability after being contaminated by algae, NH₄⁺-N and NO₂^- -N, and all have decreased DO and residual chlorine concentration and obvious accumulation of NO₂^- -N.

In order to evaluate the anti-deformation performance of RAP warm mix recycled modified asphalt, the basic properties test and viscosity test of SBS modified asphalt and warm mix recycled modified asphalt mixtures which containing different percent reclaimed asphalt pavement are carried out, and the modification mechanism is analyzed from the activation energy. The results show that the activation energy of warm mixed modified asphalt is higher and the high temperature performance of warm mixed modified asphalt mixture is better than that of the hot mixed asphalt mixture. The recommended amount of RAP is 40%, the recommended amount of regenerant A is 5% of the asphalt and the recommended amount of regenerant B is 4% of the old asphalt.