Microwave irradiation optimization for efficient lignin removal from cocoa shell waste using alkali by Farah Hafidzah, Ahmad, Nurhamizah, Ibrahim, Mohd Sabri, Mahmud, Ali, Waleed, Mohd Bijarimi, Mat Piah, Suriyati, Saleh, Said, Nurdin

“…The lignin removal was analysed using a 72 % sulfuric acid treatment method. A quadratic equation was employed to the response surface and statistical analysis conducted to confirm the adequacy of the model. …”
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Estimation of leg stiffness using an approximation to the planar spring–mass system in high-speed running by Wei Guo, Changrong Cai, Mantian Li, Fusheng Zha, Pengfei Wang, Zhenyu Jiang

“…The characters are then shifted to a quadratic equation by Taylor expansion and obtain an approximate analytical solution. …”
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Development on a Prediction Model for Experimental Condition of Flexibly Reconfigurable Roll Forming Process by Ji-Woo Park, Jeong Kim, Beom-Soo Kang

“…Through regression analysis it has been shown that the longitudinal curvature can be expressed by means of a quadratic equation. The matching quadratic function was verified with R-squared values and root-mean-square errors, whilst the normality of the sample data was also verified. …”
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Microwave-Assisted Biodiesel Production Using UiO-66 MOF Derived Nanocatalyst: Process Optimization Using Response Surface Methodology by Shiva Prasad Gouda, Jasha Momo H. Anal, Puneet Kumar, Amarajothi Dhakshinamoorthy, Umer Rashid, Samuel Lalthazuala Rokhum

“…The experimental data were fitted to a quadratic equation employing multiple regressions and investigated by analysis of variance (ANOVA). …”
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Comparison of Cementation Factor Determination by Artificial Neural Network Method and Optimized Experimental Relations in Carbonate Rocks by Jafar Vali, Farnusch Hajizadeh

“…For the studied samples, the cementation factor in porosity was determined as a quadratic equation with the highest correlation coefficient. …”
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Prediction mechanical properties of particleboard and analysis the interaction effect of slenderness ratio and resin content, using linear, quadratic and exponential equation by Mohammad Arabi, Mohammad mehdi Faezipoor, Mohammad Layeghi, Ali akbar Enayati

“…The result indicated there was no correlation between mechanical properties of particleboard and quadratic equation but there were good correlations between linear and Exponential equation. …”
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Analysis of Solar and Lunar Motions in the Seonmyeong Calendar by Ki-Won Lee

“…We find that a quadratic equation was employed to obtain the daily movement of the Sun using physical quantities on the instant of each solar term, which was tabulated in its calendar book such as the Goryeosa (History of the Goryeo Dynasty). …”
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Preparation, Optimization and Characterization of CuInS2 quantum dots by a D-optimal Design by Mahzad Mirzaei, Reza Khanbabaie, Mohsen Jahanshahi, Ghasem Najafpour Darzi

“…Response surface methodology (RSM) in combination with D-optimal design was applied to optimize the synthesis and evaluate the PL intensity as the response which described by a reduced quadratic equation. The relationship between the PL intensity and independent variables (ligand/precursor, reaction time, reaction temperature, pH, and precursors ratio) was investigated using reduced quadratic polynomial equations. …”
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Thermal network model-based data assimilation for estimation of temperature characteristic coefficients for Peltier device by Wataru SATO, Nobuyuki ISOSHIMA

“…The temperature dependence reportedly can be calculated using the quadratic equation of temperature and the typical temperature characteristic coefficients. …”
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Investigation of Effective Parameters in the Combined System of Microstrainer and Ozonation in the Removal of Algae from Raw Water by Daryoush Yousefi Kebria, Mohsen Sattari

“…The final model based on the desired parameters was obtained as a quadratic equation with correlation coefficient, modified correlation coefficient and predicted correlation coefficient equal to 0.948, 0.928 and 0.868, respectively.…”
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Fault Location in Double Circuit Medium Power Distribution Networks Using an Impedance-Based Method by Rahman Dashti, Seyed Mehdi Salehizadeh, Hamid Reza Shaker, Maryamsadat Tahavori

“…In the proposed method, a new quadratic equation for locating fault in power distribution networks is obtained using recorded voltage and current at the beginning of feeder. …”
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The Role of Hillshade, Aspect, and Toposhape in the Woodland Dieback of Arid and Semi-Arid Ecosystems: A Case Study in Zagros Woodlands of Ilam Province, Iran by Najafifar Ali, Hosseinzadeh Jaafar, Karamshahi Abdolali

“…The comparison of the dieback ratio in the three characteristic histograms showed that the shade index, unlike the other two indicators, had a significant effect on forest drought (R2=0.91 for linear equation and R2=0.94 for quadratic equation). The results indicated that the application of hillshade in describing and analysing ecological processes by relying on soil moisture such as woodland dieback is superior to the other two indicators. …”
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Rules-Based and SVM-Q Methods With Multitapers and Convolution for Sleep EEG Stages Classification by Ignacio A. Zapata, Yan Li, Peng Wen

“…The second approach uses a support vector machine with quadratic equation (SVM-Q) classifier to classify the sleep stages based on experts’ scoring. …”
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Geostatistical Modelling of Spatial Changes in Groundwater Quality Using GIS and Wilcox Model (Case Study: Central and Kenark Districts, Chabahar) by Saeed Mahmodizadeh, Ali Esmaeily

“…Then we employed  inverse distance weighting , global polynomial, local polynomial, radial basis function and kriging with circular, spherical, exponential, gaussian, as well as quadratic equation semivariograms; the most suitable method for interpolation was selected baed on the Root Mean Square Error (RMSE) and coefficient of determination (R2) criteria. …”
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Polydimethylsiloxane (PDMS) Membrane for Separation of Soluble Toluene by Pervaporation Process by Salam H. Rasheed, Salah S. Ibrahim, Qusay F. Alsalhy, Hasan Sh. Majdi

“…A nonlinear regression analysis was applied to the experimental output and input, and as a result, a quadratic equation model with parameters interactions was obtained as mathematical expressions to predict the permeation flux and separation factor. …”
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Quantifying of the relationship between novel intermittent drying variables and some quality properties of parboiled rice using response surface methodology by Rasooli Sharabiani Vali, Taghinezhad Ebrahim

“…Also, the best mathematical model for prediction of quality properties of samples was the quadratic equation (R2 = 0.96-0.98). The HRY (61.8-73.2%), hardness (118.63-215.27 N) and color value (17.28-19.22) increased, while the lightness (64.17-59.51) decreased during drying. …”
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UJI AKURASI PIRANTI SENSOR TRANSDUSER UNTUK MENENTUKAN WAKTU TERJADINYA BERAHI PADA SAPI by Suyadi Suyadi, Kuswati Kuswati, B. Susilo, J. A. E. Noor

“…Two equations was resulted from this measurement, while a linear regression was Y= -36.412+197.53X a quadratic equation was Y= 253.3+84.09X+5.09X2. The sensor was then applied in estrus beef cow, not estrus beef cow and estrus dairy cow for 10 days. …”
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Low pressure solubilities of CO2 in guanidinium trifluoromethanesulfonate-MDEA systems by Sairi, Nor Asrina, Abd Ghani, N., Aroua, M.K., Yusoff, R., Alias, Y.

“…The linear equation, quadratic equation, extended Arhenius equation and Henry's Law equation have been applied to assess the validity of the finding. …”
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Optimization of protein yields in water extracts of Jackiopsis ornata roots by response surface methodology using microwave assisted extraction (MAE) by Elhag, Husam Eldin Elhag Abugabr, Nailaa, Aishath, Azilah, Ajit, W. F. W., Ishak, A. Z., Sulaiman, Badhrulhisham, Abdul Aziz, Prasad, D. M. Reddy

“…Statistical analysis illustrated the adequacy of the generated full quadratic equation with ad high values of the coefficient of determination (R2), adjusted coefficient of determination R2adj and predicted coefficient p of determination R2pred The p value of the Lack of Fit test illustrated the adequacy of the model. …”
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Effects of nitrogen application rate and leaf age on the distribution pattern of leaf SPAD readings in the rice canopy. by Hu Yang, Jinwen Li, Jingping Yang, Hua Wang, Junliang Zou, Junjun He

“…The leaf functioning period was represented with a relatively stable SPAD reading related to N application rate, and cumulative growing days were extended with increasing N application rates. A quadratic equation was utilized to describe the relationship between SPAD readings and leaf age during the leaf senescence period. …”
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