Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings by Ali H. Hakami

“…Let f(x) be a quadratic polynomial in Z[x1,…,xn]. In this paper, we are interested in giving lower bounds on the number of solutions of the quadratic polynomial f over the ring Rmn.…”
Get full text

Prime valued polynomials and class numbers of quadratic fields by Richard A. Mollin

Subjects: Get full text

On Polynomial Solutions of Pell’s Equation by Hasan Sankari, Ahmad Abdo

“…Polynomial Pell’s equation is x2−Dy2=±1, where D is a quadratic polynomial with integer coefficients and the solutions X,Y must be quadratic polynomials with integer coefficients. …”
Get full text

Commutator Length of Finitely Generated Linear Groups by Mahboubeh Alizadeh Sanati

“…For such a group 𝐺, we prove that cl(𝐺) is less than 𝑘(𝑘+1)/2+12𝑑3+𝑜(𝑑2), where 𝑘 is the minimum number of generators of (upper) triangular subgroup of 𝐺 and 𝑜(𝑑2) is a quadratic polynomial in 𝑑. Finally we show that if 𝐺 is a soluble-by-finite group of Prüffer rank 𝑟 then cl(𝐺)≤𝑟(𝑟+1)/2+12𝑟3+𝑜(𝑟2), where 𝑜(𝑟2) is a quadratic polynomial in 𝑟.…”
Get full text

STRUCTURAL RELIABILITY ANALYSIS BASED ON AN IMPROVEMENT OF THE RESPONSE SURFACE METHOD by ZHANG XueGang

“…The method used mixed response surface method during iterations, at the first iteration a linear response surface function was used, at the following iteration a quadratic polynomial response surface without mixed terms was used. …”
Get full text

Study on Deformation and Permeation Properties of Gas-Containing Fractured Rock by Yushun Yang, Dongming Zhang, Shujian Li

“…In this paper, we investigated the gas permeation properties of fractured rock during the process of stage load axial stress and cyclic load and unload confining pressure and come to some conclusions as follows: (1) the relationship between radial strain and deviatoric stress satisfied the quadratic polynomial function, and the relationship between permeability and deviatoric stress satisfied the exponential function under different axial stress levels; (2) in the staged load axial stress process, the axial strain-deviatoric curves of specimens conform to the quadratic polynomial function. …”
Get full text

Development and Validation of a Three-Dimensional Diffusion Code Based on a High Order Nodal Expansion Method for Hexagonal-z Geometry by Daogang Lu, Chao Guo

“…In this method, one-dimensional radial and axial spatially flux of each node and energy group are defined as quadratic polynomial expansion and four-order polynomial expansion, respectively. …”
Get full text

Experimental Study on Dynamic Characteristics of Annular Coal Mine Sandstone after Different Temperatures by Qi Ping, Yulin Wu, Qi Gao, Shuo Wang, Kaifan Shen, Chen Wang, Xiangyang Li

“…The findings indicate that with the temperature rising, the volume of samples increases, the mass and density decrease, and the change rate of the physical parameters of the annular sample is a little greater than that of the intact sample; as the temperature goes up, the dynamic tensile strength increases first and then decreases, there is a quadratic polynomial relationship with temperature; both the dynamic strain and the average strain rate decrease first and then increase as the temperature grows, showing a quadratic polynomial relationship with temperature; the damage degree of the annular and intact samples become worse as the temperature improved, and the fragments of specimen increase obviously after 200°C.…”
Get full text

A comparative study on different machine learning approaches with periodic items for the forecasting of GPS satellites clock bias by Longjiang Song, Jiahao Liu, Leilei Wang, Ziyi Wang, Yibo Yuan

“…The predicted sequences of the four machine learning models are compared with the quadratic polynomial(QP) model. The average prediction accuracy of forecasting has improved by approximately (39.45, 57.57, 27.28, 29.14)% during 1-day forecasting. …”
Get full text

On the Limit Cycles for Continuous and Discontinuous Cubic Differential Systems by Ziguo Jiang

“…We study the number of limit cycles for the quadratic polynomial differential systems x˙=-y+x2, y˙=x+xy having an isochronous center with continuous and discontinuous cubic polynomial perturbations. …”
Get full text

Some Fixed Points Results of Quadratic Functions in Split Quaternions by Young Chel Kwun, Mobeen Munir, Waqas Nazeer, Shin Min Kang

“…We attempt to find fixed points of a general quadratic polynomial in the algebra of split quaternion. …”
Get full text

WEAR SIMULATION FOR ARTIFICIAL HIP JOINT BASED ON EXPERIMENTAL MODEL by 鲍雨梅, 许景顺, 吴蕾, 高海明, 徐哲玉, 马龙

“…Wear rate model of the coating was built with pin-on-disc tester basing on uniform design theory and the quadratic polynomial stepwise regression analysis method. …”
Get full text

Developing a Travel Time Estimation Method of Freeway Based on Floating Car Using Random Forests by Juan Cheng, Gen Li, Xianhua Chen

“…Compared with the BP (Back Propagation) neural network model and the quadratic polynomial regression model, the proposed Random Forests model is more accurate, and the variables contained in the model are more abundant.…”
Get full text

The Establishment of Segmented Constitutive Relationship of Coal under Triaxial Compression: Take the No. 3 Coal of Xinhe Colliery as an Example by Yongjie Yang, Yang Zhang, Tianli Zhang

“…The relationship between elastic modulus of coal and confining pressure is quadratic polynomial. The triaxial compressive strength and residual strength of coal are approximately linearly positively correlated with confining pressure. …”
Get full text

Recent progress in the security evaluation of multivariate public‐key cryptography by Yasuhiko Ikematsu, Shuhei Nakamura, Tsuyoshi Takagi

“…It is based on the hardness of the multivariate quadratic polynomial (MQ) problem, which is a problem of finding a solution to a system of quadratic equations over a finite field. …”
Get full text

An Experimental Study of Seepage Properties in Crushed Sandstone and Mudstone by Qi-Le Ding, Shuai-Bing Song

“…The permeability in the experiments is found to be in the range of 9.1 × 10−15–9.492 × 10−13 m2, which is calculated from a quadratic polynomial fit between the flow velocity and pressure gradient. …”
Get full text

Irrigated Soybean Leaf Photosynthesis in the Humid Subtropical Midsouth by H. Arnold Bruns

“…Photosynthesis changes fit a quadratic polynomial for all fixed variables and range from ~6.0 and 9.0 CER at 250 PPFD and ~22.0 to 28.0 CER at 2000 PPFD. …”
Get full text

Experimental Study on Dynamic Compression Mechanics of Sandstone after Coupled Alkali-Chemical-Dynamic Interaction by Qi Ping, Chen Wang, Qi Gao, Kaifan Shen, Yulin Wu, Shuo Wang, Xiangyang Li

“…As the pH of the solution rises, the impact damage of the sandstone specimens intensifies, and the average particle size of the fragments tends to decrease in a quadratic polynomial.…”
Get full text

Finite Element Model Updating Technique for Super High-Rise Building Based on Response Surface Method by Yancan Wang, Dongfu Zhao, Hao Li

“…The response surface equations for the first ten natural frequencies were obtained through quadratic polynomial fitting, and the optimal solution of the objective function was determined using a genetic algorithm. …”
Get full text

Multiobject Reliability Analysis of Turbine Blisk with Multidiscipline under Multiphysical Field Interaction by Chun-Yi Zhang, Cheng Lu, Cheng-Wei Fei, Ling-Jun Liu, Yat-Sze Choy, Xiang-Guo Su

“…And then the mathematical model of MRSM was established with quadratic polynomial. Finally, the multiple reliability analyses of deformation, stress, and strain of turbine blisk were completed under multiphysical field coupling by the MRSM, and the comprehensive performance of turbine blisk was evaluated. …”
Get full text