Calculating university education model based on finite element fractional differential equations and macro-control analysis

Firstly, based on the charging theory of ‘education cost-sharing,’ under appropriate assumptions, two basic differential equation models are proposed to describe the problem of college education charges; secondly, through qualitative analysis of the basic model, it is concluded that colleges and universities maintain or impose several conditions for stabilising its education fees; finally, through the analysis of two basic models in three unique models under three situations, some new conclusions and suggestions on the macro-control of college education fees and enrolment scale are given. Also, three extended differential equation models are proposed.

Disappearing Errors in a Conversion Model

The same basic differential equation model has been adapted for time-dependent conversions of members of a population among different states. The conversion model has been applied in different contexts such as epidemiological infections, the Bass model for the diffusion of innovations, and the ideodynamic model for public opinion. For example, the ideodynamic version of the model predicts changes in public opinions in response to persuasive messages extending back to an indefinite past. All messages are measured with error, and this chapter discusses how errors in message measurements disappear with time so that predicted opinion values gradually become unaffected by past measurement errors. Prediction uncertainty is discussed using formal statistics, sensitivity analysis, and bootstrap variance calculations. This chapter presents ideodynamic predictions for opinion time series about the Toyota car manufacturer calculated from daily Twitter scores over two-and-a-half years. During this time, there was a sudden onslaught of bad news for Toyota, and the model was able to accurately predict the accompanying drop in favourable public opinion towards Toyota and rise in unfavourable opinion.

Differential Equation Models for Education Charges of Universities in China and the Applications

In recent years, with the expansion of university enrollment in China, the cost of running a school is getting higher and higher. Under the circumstance of insufficient state investment in higher education, the education charge paid by students has become an important source of the university income. It has become a hot topic of social concern to formulate a reasonable charging model to enable more students to enter higher education institutions. In this paper, we mainly put forward the basic differential equation models describing the problem of higher education charges in China. Through the qualitative analysis of these two basic models, we draw several conditions for universities to maintain or stabilize their education charges and give some suggestions on macrocontrol of university education charges in China.

Teaching strategy for introducing beginners to Coherent States

Handling coherent states by undergraduates students may be a hard task, as they have to deal with Glauber's series $e^{-\frac {|\alpha|^2} {2}}\sum\limits_{n=0}^\infty\frac {\alpha^n} {\sqrt{n!}}\phi_n(x)$. We show here that the task can be greatly simplified by introduction of a novel compact formula for Glauber coherent states employed in [ Int. J. Mod. Phys. B {\bf 31} (2017) 175051]. This expression is obtained by solving the basic differential equation associated to coherent states $a|\alpha>=\alpha|\alpha>$.

Analisis Persepsi Mahasiswa Terhadap Modul Persamaan Diferensial Dasar

The purpose of this study was to find and analyze empirically about student perceptions of basic differential equation modules. The subject of this study was students of mathematics education programs who took the subject of basic differential equations. A total of 60 study samples were divided into two study groups of 30 students each. The sampling technique in this study was a non random sampling technique, namely the pusposive sampling method. Sampling is tailored to the purpose of the study and based on the subjective judgment of the researcher and on certain characteristics that are considered to have relevance to the characteristics of the population that were previously known with certain considerations. Data collection techniques were used through the dissemination of student perceptions instruments towards the Basic Differential Equation module. The collection of research data using a questionnaire. Judging from the recapitulation of the results of data interpretation, it can be concluded that the results of the study are categorized as Good. From the recapitulation of the results of the data obtained there are 8% very good categories, 60% good categories, 32% enough categories, 0% categorized as poor, and 0% categorized as very opor. Keywords: Perception, Students, Differential Equation Modules

Bending performance of steel–polyurethane sandwich plate under local distributed load

As a civil engineering application, a composite sandwich plate is introduced into a new or reinforced orthotropic steel bridge deck to reduce the stress concentration of the deck under wheel loading and the amount of stiffening ribs required. For a steel–polyurethane sandwich plate, based on the existing basic differential equation of bending, analytical formulas for stress and deflection at any point of the sandwich plate with four sides simply supported are deduced under a vertical, local uniform load in which wheel loading has been simulated. Sandwich plates of the same material, size, condition of support, and load are tested; the key points of stress and deflection are calculated; and the test results are compared. The results demonstrate that the analytical calculation formulas are reliable and meet engineering accuracy requirements.

Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution

We investigate the Schrödinger equation for a class of spherically symmetric potentials in a simple and unified manner using the Lie algebraic approach within the framework of quasi-exact solvability. We illustrate that all models give rise to the same basic differential equation, which is expressible as an element of the universal enveloping algebra ofsl(2). Then, we obtain the general exact solutions of the problem by employing the representation theory ofsl(2)Lie algebra.

Calculation of Saturation Line of Groundwater under Reservoir Water Table Uniform Falling

It has been proved that the groundwater plays a key role in the stability of slope. It is important to determine the position of saturation line in the calculation of slope stability. Based on the basic differential equation of one dimension unsteady seepage flow, the calculation model is created with the uniform falling of reservoir water table, the counting equation by Laplace’s transform is deduced. It is easy to use the equation which is fitted by polynomial expression to get simplified formula. Simplifying the formula can satisfy the engineering precision requirement.

G M (1,1) Optimization Model Re-Optimization

On the base of the basic differential equation, a new GM (1,1) model applying to non-homogenous index series was established by optimizing the background of original differential equation. Meanwhile, solution algorithm and efficiency of the optimization model was presented and verified in the paper respectively. The results showed that this nonlinear discrete gray prediction model significantly improves the simulation accuracy and is suitable for the non-homogeneous high-growth series. Therefore, our research has certain theory significance and the practical application value for simulation of grey model.