An Inelastic Theoretical Model regarding the Load-Carrying Capacity of PSL Bending Component by Baolu Sheng, Yuling Bian, Dong He, Aiping Zhou

“…The results show that the tensile stress-strain relationship of PSL materials in the grain direction remains linear until breaking, while the compressive stress-strain relationship exhibits nonlinear characteristics once the compressive stress exceeds the proportional limit, which can be expressed by a quadratic polynomial. The failure mode of the PSL beam can be summarized that the fibres in the top of the broken section were buckling and those in the bottom of the section were broken when failure occurred. …”
Get full text

Research on Cumulative Damage Characteristics of Rock Anchor Beam Concrete Supporting Structure by Blasting Vibration of Underground Powerhouse by Sheng Wan, Junhong Huang, Yi Luo, Xinping Li, Qingsong Pu

“…The cumulative damage of rock anchor beam along and perpendicular to the axis of powerhouse conforms to the relationship of cubic polynomials with the blasting times, which also conform to the relationship of quartic polynomial and quadratic polynomial, respectively, with the blast center distance.…”
Get full text

Effect of bottom ash powder replacement rate, water cement ratio and sand cement ratio on alkali activated slag mortar by Cheng Wang, Xiao Zhao, Jianjun Zhao, Xiyu Zhang, Xuejin Ying, Xiangde Li

“…Finally, the relationship between the parameters was explored by means of correlation coefficient heatmaps in concert with scatter plots (including quadratic polynomial linear fitting). The results show that it is feasible to use up to 60% of BA powder to replace slag for AASM. …”
Get full text

Influences of Different Factors and Sensitivity Analysis of Permeability of Gassy Coal by Bo Li, Yong Yuan, Yunpei Liang, Zhenghan Qin

“…Research results show that under the same confining pressure, the relationship between permeability and axial pressure of gassy coal meets the quadratic polynomial function; under the same axial pressure, the permeability changes with the confining pressure as a power function. …”
Get full text

A Novel Long Short-Term Memory Predicted Algorithm for BDS Short-Term Satellite Clock Offsets by Tailai Wen, Gang Ou, Xiaomei Tang, Pengyu Zhang, Pengcheng Wang

“…The ultrarapid predicted clock products provided by IGS (IGU-P) and four widely used prediction methods (the linear polynomial, quadratic polynomial, gray system (GM (1,1)), and Autoregressive Integrated Moving Average (ARIMA) model) are selected to compare with the QPLSTM. …”
Get full text

A Novel Construction of Substitution Box Based on Polynomial Mapped and Finite Field With Image Encryption Application by Abid Mahboob, Muhammad Asif, Imran Siddique, Aysha Saleem, Muhammad Nadeem, Dariusz Grzelczyk, Jan Awrejcewicz

“…Firstly, we take a quadratic polynomial mapped for the construction of S-box from the newly designed map. …”
Get full text

A constitutive model for coal gangue coarse-grained subgrade filler incorporating particle breakage by Zong-Tang Zhang, An Liu, Si-Chun Yu, Shun-Kai Liu, Chuan-Feng Fang, Ze Liu, Wei Hu

“…Additionally, the failure strength of samples initially increases and then decreases with the increase in coarse particle content. A modified quadratic polynomial fractal model gradation equation was proposed to describe the gradation of samples after particle breakage. …”
Get full text

An Approach to Refining MODIS LAI Data Using a Fitting Scale Factor Time Series by Junxian Tang, Peijuan Wang, Rui Feng, Yang Li, Qing Li

“…Our findings demonstrate that the optimal method for fitting scale factors for spring maize LAI data is piecewise function method which combines Gaussian and quadratic polynomial functions. The time series of scale factors derived from high- and low-purity pixels, differentiated by a 50% purity threshold, resulted in improved performance in adjusting the spring maize LAI compared to traditional remote sensing LAI data. …”
Get full text

Soybean oil, a linoleic acid source, in lamb diets: metabolic, feeding behavior, and ruminal parameters by V. G. O. Lima, L. O. da Silva, J. E. de Freitas Jr., H. D. R. Alba, V. M. Leite, W. P. Silva, D. D. S. Pina, L. C. Leite, C. S. Rodrigues, S. A. Santos, G. G. P. de Carvalho

“…The data were analyzed using linear and quadratic polynomial contrasts, except for the ruminal fermentation parameters and plasma glucose, which were analyzed using repeated measures over time. …”
Get full text

Drawing Dynamical and Parameters Planes of Iterative Families and Methods by Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa

“…The complex dynamical analysis of the parametric fourth-order Kim’s iterative family is made on quadratic polynomials, showing the MATLAB codes generated to draw the fractal images necessary to complete the study. …”
Get full text

Study of a Biparametric Family of Iterative Methods by B. Campos, A. Cordero, Á. A. Magreñán, J. R. Torregrosa, P. Vindel

“…The dynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials. This biparametric family includes the c-iterative methods and the well-known Chebyshev-Halley family. …”
Get full text

Simple Matrix encryption scheme with variable ciphertext length by Zhong WANG, Yiliang HAN

“…Multivariable public key cryptography is one of the reliable candidates for anti-quantum cryptography.The Simple Matrix scheme is constructed using the operations between three matrices.An improved version of the Simple Matrix scheme was proposed.It is constructed by using two flat matrices with random quadratic polynomials,so that the rank attacks is infeasible for the new scheme,and the algebraic attacks breaks the system is at least as hard as solving a set of random quadratic equations.The new scheme will improve the proportion of ciphertext and plaintext to 2 times or more,break the fixed proportion of ciphertext and plaintext,so that it has a flexible proportion to adapt to different needs.…”
Get full text

Parabolic Sandwiches for Functions on a Compact Interval and an Application to Projectile Motion by Robert Kantrowitz, Michael M. Neumann

“…For this, we develop a theory of those functions which can be sandwiched, in a natural way, by a pair of quadratic polynomials. It turns out that the convexity or concavity of the derivative plays a decisive role in this context.…”
Get full text

King-Type Derivative-Free Iterative Families: Real and Memory Dynamics by F. I. Chicharro, A. Cordero, J. R. Torregrosa, M. P. Vassileva

“…The real stability analysis of the biparametric family without memory is made on quadratic polynomials, finding areas in the parametric plane with good performance. …”
Get full text

Computational study of fluid forces over a cylinder attached with elastic beam: A finite element-based simulations by Yasir Arif, Rashid Mahmood, Mehdi Tlija, Afraz Hussain Majeed, Kamran Usman, Ehab Seif Ghith

“…To resolve the coupled governing equations, the velocity profiles are approximated with quadratic polynomials (P2), while the pressure is estimated using a different space with linear polynomials (P1) using the finite element method. …”
Get full text

Permeability of Sand-Based Cemented Backfill under Different Stress Conditions: Effects of Confining and Axial Pressures by Cunli Zhu, Jixiong Zhang, Nan Zhou, Meng Li, Yaben Guo

“…This study is focused on the influence law of different stress states on the SBCB permeability exposed to groundwater, which was tested under different axial and confining pressures using a laboratory seepage meter, particle size analyzer, scanning electron microscope (SEM), and X-ray diffractometer (XRD). Best-fitting quadratic polynomials linking the SBCB permeability with confining and axial pressures, respectively, were obtained via statistical processing of test results. …”
Get full text

Improvement of Propeller Hydrodynamic Prediction Model Based on Multitask ANN and Its Application in Optimization Design by Liang Li, Yihong Chen, Lu Huang, Qing Hai, Denghai Tang, Chao Wang

“…The propeller’s comprehensive geometric features are used as inputs, and the coefficients of quadratic polynomials for the thrust coefficient (<i>K_T</i>) and torque coefficient (10<i>K_Q</i>) curves are predicted as outputs. …”
Get full text