The best fitting method: the least square method is selected by comparing the advantages and dis-advantages of curve fitting in this paper and the least square method integrated in MATLAB soft-ware is used to compare the results of characteristic curve fitting of each order of least square method, so that the characteristic curve equation of coolant temperature sensor is closer to the real one. The results show that the effect of the characteristic curve obtained by the fifth order fitting is ideal.

In this paper, we consider the strong instability of standing wave solutions for the nonlinear Schrodinger equation with mixed power-type and Choquard-type nonlinearities Where , and is the complex function with When and we prove the strong instability of standing wave solutions by using blow-up criterion.

In this paper, we study a class of three-dimensional chemotaxis-Stokes equations with fluid cou-pling, which describes the phenomenon of chemotaxis in the fluid environment. Numerous bio-logical experimental observations have shown that both the effect of gravity on bacterial motility and the interaction of chemotaxis itself on the fluid should be placed in the equations for simulta-neous consideration in the chemotaxis fluid model. In this paper, we will establish a prior estimate of the solution of the regularization problem under the condition of by using the method of weight function, in order to prepare for the further study of the qualitative theory of the solution.

The geometric characteristics and the geometric construction method of quartic PH curve with parameter are discussed. First, we define a class of quartic m-Bernstein basis function with a shape parameter. Then the quartic m-Bézier curve is obtained. By introducing the auxiliary control vertex, the geometric characteristic conditions for quartic m-Bézier curve becoming PH curve is given. We propose a new geometric construction approach of quartic PH curve with parameter. And the error analysis is given. The validity and feasibility of the study are verified by numerical examples.

For n ≥ 1, let P_n > 1 and D_n ={ 0,a_n,b_n} ⊂ℤ, where a_n < b_n < p_n. In this paper we study the existence of infinite orthogonal exponential sets of moran measures which is generated by the sequence of integers {p_n}_n=1^∞ and the sequence of number sets {D_n}_n=1^∞. We obtain the necessary and sufficient conditions for infinite convolution μ to have infinite orthogonal exponential sets, this provides a good idea for constructing the spectrum of this function space.

There are more than 12,000 kinds of traditional Chinese medicine recorded in the dictionary, and different kinds of traditional Chinese medicine are distributed in many places of origin, so the task of identifying the place of origin of traditional Chinese medicine is extremely difficult. In this paper, the near-infrared spectral data and mid infrared spectral data provided by the 2021 “Higher Education Society Cup” National Undergraduate Mathematical Modeling Contest E question “Ap-pendix 3” are taken as research samples. First, the data provided are preprocessed, feature vectors are extracted, and dimensions are reduced. Then, support vector machine (SVM) algorithm is used to solve the problem and evaluation indicators are used to achieve 83.8% accuracy in training sets and 98.7% accuracy in test sets.

In this paper, we mainly study the curvature integral inequality of simple closed convex curves on the plane. We use the unit-speed outward normal flow to simplify the proof of Green-Osher's results, find a recurrence relationship between the high-order and low-order cases of the curvature integral inequality, generalize the previous results, and find a special function.

Aiming at the problem of karst subsidence in the urban construction of Guiyang City, 118 scenes of Sentinel-1A images were processed based on SBAS-InSAR technology, and the surface deformation information of the main urban area of Guiyang City from January 2018 to December 2021 was ob-tained and crossed with the monitoring results of PS-InSAR. For verification, based on this, the settlement analysis of the obvious subsidence area in the research area and the 150 m area along the subway line is carried out, and finally the BP neural network improved by the genetic algorithm is used to predict and analyze the subsidence sequence. The results show that: within the monitoring time range, the surface subsidence rate in the study area is concentrated at −5 mm/a~1 mm/a, and the overall is relatively stable. There is no large-scale obvious subsidence phenomenon in the study area, and there are some obvious subsidence areas, all of which have the phenomenon of mountain excavation, mainly related to human activities. The settlement along the three subway lines is generally stable, and there are 1 or 2 obvious settlement areas in each line; combined with the analysis of optical historical images and urban planning data, these settlements are mainly re-lated to engineering construction. Compared with the standard BP neural network, the improved BP neural network has better performance, and the absolute error and root mean square error are the smallest.

Two classes of function family regularity involving higher-order derivative variable sharing values are discussed. Applying the Pang-Zalcman lemma, normality criterions for sharing values of holo-morphic functions f and meromorphic functions g which involving higher-order derivatives are dis-cussed respectively, and the fixed sharing values are generalized to the sharing values which de-pendent on f and g, hence two normality criterion are obtained. Let be a family of holomorphic function in a domain D, for every f∈ℑ, the zeros of f have multiplicities at least k. a_f,b_f,c_f are three finite non-zero complex numbers and a_f≠b_f. And satisfied 1) min{σ(0,a_f),σ(0,b_f),σ(a_f,b_f)}≥ε; 2) are independent of f; and f(z)=0⇔f^{(k )}(z)=a_f，f^{(k )}(z)=b_f⇒f(z)=c_f, . Then ℑ is normal in D.

In this paper, we introduce the exponential family distribution and give the relevant definition. The recursive formula of higher order moments of geometric distribution is derived by the reciprocal differential operation and integral operation, and the general formula of higher order moments of gamma distribution is derived by the relation between characteristic function and higher order moments.