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Journal articles on the topic 'Linear Prediction Formula'

Author: Grafiati

Published: 8 September 2023

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1

Lee, Kwang-Ho, and Yong-Hwan Cho. "Simple Breaker Index Formula Using Linear Model." Journal of Marine Science and Engineering 9, no. 7 (2021): 731. http://dx.doi.org/10.3390/jmse9070731.

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Breaking waves generated by wave shoaling in coastal areas have a close relationship with various physical phenomena in coastal regions. Therefore, it is crucial to accurately predict breaker indexes such as breaking wave height and breaking depth when designing coastal structures. Many studies on wave breaking have been carried out, and many experimental data have been documented. Representative studies on wave breaking provide many empirical formulas for the prediction of breaking index, mainly through hydraulic model experiments. However, the existing empirical formulas for breaking index d

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Ngô, Trọng Hữu. "Dự đoán khả năng chịu uốn của tiết diện dầm bê tông cốt thép bằng công thức thực hành". Vietnam Institute for Building Science and Technology 2023, vi.vol2 (2023): 14–21. http://dx.doi.org/10.59382/j-ibst.2023.vi.vol2-2.

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This paper presents the process of developing a practical formula for predicting the ultimate bending moment of rectangular reinforced concrete (RC) beams through regression analysis. The data used for regression analysis was generated by using the fiber method to analyze a non-linear batch of commonly encountered RC beam cross-sections. The practical formula was obtained by fitting a linear regression model to the training set and then making predictions on the test set. The coefficient of determination, R2, between the bending moment values calculated from the formula and the results of the

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Mohammadi, Mohammad, та Adel Mohammadpour. "On the Prediction of α-Stable Time Series". Fluctuation and Noise Letters 15, № 04 (2016): 1650021. http://dx.doi.org/10.1142/s0219477516500218.

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This paper addresses the point prediction of [Formula: see text]-stable time series. Our key idea is to define a new Hilbert space that contains [Formula: see text]-stable processes. Then, we apply the advantage of Hilbert space theory for finding the best linear prediction. We show how to use the presented predictor practically for [Formula: see text]-stable linear processes. The implementation of the presented method is easier than the implementation of the minimum dispersion method. We reveal the appropriateness of the presented method through an empirical study on predicting the natural lo

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Di, Yu, Ying Li, and Yan Luo. "Prediction of Implantable Collamer Lens Vault Based on Preoperative Biometric Factors and Lens Parameters." Journal of Refractive Surgery 39, no. 5 (2023): 332–39. http://dx.doi.org/10.3928/1081597x-20230207-03.

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Purpose: To establish and validate the accuracy of implantable collamer lens (ICL) vault size prediction formula based on preoperative biometric factors and lens parameters. Methods: This study included 300 patients (300 eyes) with Visian ICL V4c (STAAR Surgical) implantation. They were randomly divided into the formula establishment group and formula validation group. Anterior segment measurements, ICL V4c size and power, and vault 1 week postoperatively were collected from all patients. Multiple linear regression analysis was performed to establish the prediction formula. Mean absolute error

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HINTON-BAYRE, ANTON. "Reliable Change formula query." Journal of the International Neuropsychological Society 6, no. 3 (2000): 362–63. http://dx.doi.org/10.1017/s1355617700633118.

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In a recent article, Temkin et al. (1999) contrasted four models for detecting significant change in individual performance on neuropsychological tests. Two of these models relied on the calculation of the Reliable Change Index (RCI) by Jacobson and Truax (1991), with and without a correction for practice associated with repeated testing. The other two models were based on simple linear regression and multiple regression, respectively. The models were contrasted based on the width of 90% prediction intervals (PI) and normal-distribution-based prediction accuracy of classifying unusual cases. P

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Engel, B., W. G. Buist, P. Walstra, E. Olsen, and G. Daumas. "Accuracy of prediction of percentage lean meat and authorization of carcass measurement instruments: adverse effects of incorrect sampling of carcasses in pig classification." Animal Science 76, no. 2 (2003): 199–209. http://dx.doi.org/10.1017/s1357729800053455.

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AbstractClassification of pig carcasses in the European Community is based on the lean meat percentage of the carcass. The lean meat percentage is predicted from instrumental carcass measurements, such as fat and muscle depth measurements, obtained in the slaughter-line. The prediction formula employed is derived from the data of a dissection experiment and has to meet requirements for authorization as put down in EC regulations. Requirements involve the sampling procedure and sample size for the dissected carcasses and the accuracy of prediction. Formulae are often derived by linear regressio

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Xie, Liusen, and William W. Hsieh. "Predicting the Return Migration Routes of the Fraser River Sockeye Salmon (Oncorhynchus nerka)." Canadian Journal of Fisheries and Aquatic Sciences 46, no. 8 (1989): 1287–92. http://dx.doi.org/10.1139/f89-165.

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The Johnstone Strait diversion rate (i.e. the percentage of homeward migrating Fraser River sockeye salmon (Oncorhynchus nerka) travelling around Vancouver Island via the northern route of Johnstone Strait) is statistically predicted using the March values of the Kains Island sea surface temperature T and the Fraser River runoff R. The prediction formula incorporates nonlinear terms such as T2 and RT, as well as the diversion rate 2 yr ago. We tested the forecasting performance by constructing a prediction formula using only data from 1953–78, and making predictions for 1979–88. The mean absol

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8

Yuan, Shasha, Weidong Zhou, and Liyan Chen. "Epileptic Seizure Prediction Using Diffusion Distance and Bayesian Linear Discriminate Analysis on Intracranial EEG." International Journal of Neural Systems 28, no. 01 (2017): 1750043. http://dx.doi.org/10.1142/s0129065717500435.

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Epilepsy is a chronic neurological disorder characterized by sudden and apparently unpredictable seizures. A system capable of forecasting the occurrence of seizures is crucial and could open new therapeutic possibilities for human health. This paper addresses an algorithm for seizure prediction using a novel feature — diffusion distance (DD) in intracranial Electroencephalograph (iEEG) recordings. Wavelet decomposition is conducted on segmented electroencephalograph (EEG) epochs and subband signals at scales 3, 4 and 5 are utilized to extract the diffusion distance. The features of all channe

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9

Castillo-Sanchez, L. E., J. R. Canul-Solís, D. Pozo-Leyva, et al. "Prediction of live weight in beef heifers using a body volume formula." Arquivo Brasileiro de Medicina Veterinária e Zootecnia 74, no. 6 (2022): 1127–33. http://dx.doi.org/10.1590/1678-4162-12886.

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ABSTRACT The objective of this study was to develop and evaluate linear, quadratic, and allometric models to predict live weight (LW) using the body volume formula (BV) in crossbred heifers raised in southeastern Mexico. The LW (426.25±117.49kg) and BV (338.05±95.38 dm3) were measured in 360 heifers aged between 3 and 30 months. Linear and non-linear regression were used to construct prediction models. The goodness-of-fit of the models was evaluated using the Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), coefficient of determination (R2), mean squared error (MSE), a

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KARNA, DILLIP KUMAR, ADITYA PRASAD ACHARYA, BHABESH CHANDRA DAS, GANGADHAR NAYAK, and M. R. DIBYADARSHINI. "Comparison of regression methods and Shaefferâ€™s formula in prediction of Live Body Weight of Ganjam Goats." Indian Journal of Animal Sciences 92, no. 6 (2022): 770–75. http://dx.doi.org/10.56093/ijans.v92i6.108921.

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Linear regression and polynomial regression of order two and three were utilized to predict the live weight ofGanjam goats across five age groups using chest girth as predictor and their accuracies were compared with theprediction of weight made by Shaeffer’s formula. Live body weight of Ganjam goat recorded by electronic weighingbalance was used as standard for calculating the error of prediction. The body weights of 1014 Ganjam goats (329males and 685 females) were estimated by each technique during 2015 to 2017. Compared with electronic weighingscale, the body weight estimates in Ganjam goa

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Shen, Chen, Hui Zhu, and Zhi Gang Yang. "Study on the Aerodynamics Mechanism of Passenger Car under Unsteady Crosswind." Advanced Materials Research 631-632 (January 2013): 809–16. http://dx.doi.org/10.4028/www.scientific.net/amr.631-632.809.

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Regular formulae for lateral aerodynamic force cannot give precise prediction under unsteady crosswind. By generalizing potential flow theory and taking the aerodynamic derivative into consideration, the semi-empirical expression for lateral aerodynamic force is derived. In order to determine the coefficients in the semi-empirical formula, the model of a typical double-deck coach is investigated in a sequence of numerical simulations under pure crosswind condition (i.e. linear crosswind, pseudo-step crosswind, sinusoidal crosswind). Moreover, advantages of the semi-empirical formula over the r

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Papuga, Jan, Ivona Vízková, Maxim Lutovinov, and Martin Nesládek. "Mean stress effect in stress-life fatigue prediction re-evaluated." MATEC Web of Conferences 165 (2018): 10018. http://dx.doi.org/10.1051/matecconf/201816510018.

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The paper compares various methods for computing the equivalent stress amplitude for stress cycles of non-zero mean value in stress-life fatigue prediction. A set of 11 calculation methods is evaluated. In addition to formulations based on common static or fatigue properties, the Walker formula and the generalized Linear formula are included in the investigation. These two methods use an optimization routine to find the material parameters. The final response of the methods is compared and discussed. The Walker method provides a better solution. The generalized Linear method produces inferior

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Gu, Wenbin, Zhenxiong Wang, Jianqing Liu, Jinglin Xu, Xin Liu, and Tao Cao. "Water-Depth-Based Prediction Formula for the Blasting Vibration Velocity of Lighthouse Caused by Underwater Drilling Blasting." Shock and Vibration 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/7340845.

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Lighthouses are the most important hydraulic structures that should be protected during underwater drilling blasting. Thus, the effect of blasting vibration on lighthouse should be studied. On the basis of the dimensional analysis, we deduced a revised formula for water depth based on Sodev’s empirical formula and established the linear fitting model. During the underwater reef project in the main channel of Shipu Harbor in the Ningbo–Zhoushan Port, the blasting vibration data of the lighthouse near the underwater blasting area were monitored. The undetermined coefficient, resolvable coefficie

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Naghizadeh, Mostafa, and Mauricio D. Sacchi. "Multistep autoregressive reconstruction of seismic records." GEOPHYSICS 72, no. 6 (2007): V111—V118. http://dx.doi.org/10.1190/1.2771685.

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Linear prediction filters in the [Formula: see text] domain are widely used to interpolate regularly sampled data. We study the problem of reconstructing irregularly missing data on a regular grid using linear prediction filters. We propose a two-stage algorithm. First, we reconstruct the unaliased part of the data spectrum using a Fourier method (minimum-weighted norm interpolation). Then, prediction filters for all the frequencies are extracted from the reconstructed low frequencies. The latter is implemented via a multistep autoregressive (MSAR) algorithm. Finally, these prediction filters

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GHANBARIAN, BEHZAD, EDMUND PERFECT, and HUI-HAI LIU. "A GEOMETRICAL APERTURE–WIDTH RELATIONSHIP FOR ROCK FRACTURES." Fractals 27, no. 01 (2019): 1940002. http://dx.doi.org/10.1142/s0218348x19400024.

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The relationship between fracture aperture (maximum opening; [Formula: see text]) and fracture width ([Formula: see text]) has been the subject of debate over the past several decades. An empirical power law has been commonly applied to relate these two parameters. Its exponent ([Formula: see text]) is generally determined by fitting the power-law function to experimental observations measured at various scales. Invoking concepts from fractal geometry we theoretically show, as a first-order approximation, that the fracture aperture should be a linear function of its width, meaning that [Formul

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KARMALKAR, ARUN S., and VASUDHA R. NIKAM. "Prediction of stature from long bones versus hand and foot measurements: A comparative study of the Kolhapur population." National Medical Journal of India 34 (October 22, 2021): 154–57. http://dx.doi.org/10.25259/nmji_79_20.

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Background Estimation of stature is usually done by measurement of the long bones. Although hand and foot dimensions are useful in predicting stature, they are population-specific. Methods We compared the accuracy of predicting stature by hand and foot dimensions, with long bone (tibia and ulna) lengths, and developed a stature predictive regression formula from the parameters used for the sample population in Kolhapur. We recorded hand and foot measurements and long bone measurements of 1000 consenting participants 18–50 years of age using a stadiometer for height and an anthropometric rod co

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17

Sahin, Mustafa, Cem Bilgen, M. Sezai Tasbakan, Rasit Midilli, and Ozen K. Basoglu. "A Clinical Prediction Formula for Apnea-Hypopnea Index." International Journal of Otolaryngology 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/438376.

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Objectives. There are many studies regarding unnecessary polysomnography (PSG) when obstructive sleep apnea syndrome (OSAS) is suspected. In order to reduce unnecessary PSG, this study aims to predict the apnea-hypopnea index (AHI) via simple clinical data for patients who complain of OSAS symptoms.Method. Demographic, anthropometric, physical examination and laboratory data of a total of 390 patients (290 men, average age 50 ± 11) who were subject to diagnostic PSG were obtained and evaluated retrospectively. The relationship between these data and the PSG results was analyzed. A multivariate

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Molnar, Sheri, Stan E. Dosso, and John F. Cassidy. "Uncertainty of linear earthquake site amplification via Bayesian inversion of surface seismic data." GEOPHYSICS 78, no. 3 (2013): WB37—WB48. http://dx.doi.org/10.1190/geo2012-0345.1.

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We examine uncertainty in predicted linear 1D site amplification due to uncertainty in shear-wave velocity ([Formula: see text]) structure quantified from Bayesian (probabilistic) inversion of microtremor array dispersion data. Based on a sample of [Formula: see text] profiles drawn from the posterior probability density of the microtremor inversion, probability distributions are computed for common predictors of site amplification including [Formula: see text] (traveltime average [Formula: see text] to a depth [Formula: see text]) and amplification spectra based on seismic impedance variation

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Simmons, James L., and Milo M. Backus. "Waveform‐based AVO inversion and AVO prediction‐error." GEOPHYSICS 61, no. 6 (1996): 1575–88. http://dx.doi.org/10.1190/1.1444077.

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A practical approach to linear prestack seismic inversion in the context of a locally 1-D earth is employed to use amplitude variation with offset (AVO) information for the direct detection in hydrocarbons. The inversion is based on the three‐term linearized approximation to the Zoeppritz equations. The normal‐incidence compressional‐wave reflection coefficient [Formula: see text] models the background reflectivity in the absence of hydrocarbons and incorporates the mudrock curve and Gardner’s equation. Prediction‐error parameters, [Formula: see text] and [Formula: see text], represent perturb

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Yu, Xinliang, Rimeng Zhan, Jiyong Deng, and Xianwei Huang. "Prediction of the maximum nonseizure load of lubricant additives." Journal of Theoretical and Computational Chemistry 16, no. 02 (2017): 1750014. http://dx.doi.org/10.1142/s0219633617500146.

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Lubricating additives can improve the lubricant performance of base oil in reducing friction and wear and minimizing loss of energy. It is of great significance to study the relationship between chemical structures and lubrication properties of lubricant additives. This paper reports a quantitative structure–property relationship (QSPR) model of the maximum nonseizure loads ([Formula: see text]) of 79 lubricant additives by applying artificial neural network (ANN) based on the algorithm of backward propagation of errors. Six molecular descriptors appearing in the multiple linear regression (ML

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21

Takemoto, H., N. Tomita, K. Murata, et al. "Optimal patient selection for CPT-11 chemotherapy in colorectal cancer: Quantitative prediction of tumor response and overall survival using expression data of novel marker genes." Journal of Clinical Oncology 27, no. 15_suppl (2009): e14529-e14529. http://dx.doi.org/10.1200/jco.2009.27.15_suppl.e14529.

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e14529 Background: Unlike the toxicity, none of the critical prediction markers of CPT-11 efficacy has been validated to date. With a hypothesis that expression analysis of a set of the key drug sensitivity genes could allow us to predict the therapeutic response, we identified potent marker genes for CPT-11 in in vitro, conducted this prospective study attempting to develop a prediction formula of efficacy using the expression data (2006 ASCO, 2006 ESMO), and demonstrated the latest prediction formula of the best tumor response (BTR), time to treatment failure (TTP), and the overall survival

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Lee, Byung Joo, Sang-Mok Lee, Jeong Hun Kim, and Young Suk Yu. "Predictability of formulae for intraocular lens power calculation according to the age of implantation in paediatric cataract." British Journal of Ophthalmology 103, no. 1 (2018): 106–11. http://dx.doi.org/10.1136/bjophthalmol-2017-311706.

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AimsTo analyse the predictability of diverse intraocular lens (IOL) power calculation formulae in paediatric patients with congenital cataract.MethodsThe medical records of patients who underwent cataract surgery and posterior chamber IOL implantation (in-the-bag) for congenital cataract before 17 years of age were reviewed retrospectively. Target refractions calculated by Sanders-Retzlaff-Kraff (SRK)/II, SRK/T and Hoffer-Q formulae were compared with the actual refraction. Patients were subgroup according to the age at IOL implantation (age group 0–24 months, 25–60 months, 61–120 months, 121–

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Berger, Andrew J., and Michael S. Feld. "Analytical Method of Estimating Chemometric Prediction Error." Applied Spectroscopy 51, no. 5 (1997): 725–32. http://dx.doi.org/10.1366/0003702971940882.

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We present an analytical formula that estimates the uncertainty in concentrations predicted by linear multivariate calibration, particularly partial least-squares (PLS). We emphasize the analysis of spectroscopic data. The derivation addresses the important limit in which calibration error is negligible in comparison to noise in the prediction spectra. The formula is expressed in terms of standard PLS calibration parameters and the amplitude of spectral noise; it is therefore straightforward to evaluate. To test the formula, we performed PLS analysis upon simulated spectra and upon experimenta

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Yuan, Dong-Qing, Chun-Hua Yang, Hui Zhang, et al. "Prediction of SMILE surgical cutting formula based on back propagation neural network." International Journal of Ophthalmology 16, no. 9 (2023): 1424–30. http://dx.doi.org/10.18240/ijo.2023.09.08.

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AIM: To predict cutting formula of small incision lenticule extraction (SMILE) surgery and assist clinicians in identifying candidates by deep learning of back propagation (BP) neural network. METHODS: A prediction program was developed by a BP neural network. There were 13 188 pieces of data selected as training validation. Another 840 eye samples from 425 patients were recruited for reverse verification of training results. Precision of prediction by BP neural network and lenticule thickness error between machine learning and the actual lenticule thickness in the patient data were measured.

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Cao, Bin, Shuang Yang, Ankang Sun, Ziqiang Dong, and Tong-Yi Zhang. "Domain knowledge-guided interpretive machine learning: formula discovery for the oxidation behavior of ferritic-martensitic steels in supercritical water." Journal of Materials Informatics 2, no. 2 (2022): 4. http://dx.doi.org/10.20517/jmi.2022.04.

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A general formula with high generalization and accurate prediction power is highly desirable for science, technology and engineering. In addition to human beings, artificial intelligence algorithms show great promise for the discovery of formulas. In this study, we propose a domain knowledge-guided interpretive machine learning strategy and demonstrate it by studying the oxidation behavior of ferritic-martensitic steels in supercritical water. The oxidation Cr equivalent is, for the first time, proposed in the present work to represent all contributions of alloying elements to oxidation, deriv

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Bulger, Christopher M., Weihua Gao, Chad Jacobs, and Walter J. McCarthy. "Beyond the Categories: A Formula-Driven Prediction of Carotid Stenosis." Journal for Vascular Ultrasound 29, no. 1 (2005): 15–20. http://dx.doi.org/10.1177/154431670502900102.

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Purpose Current methods to predict carotid stenosis from ultrasound duplex criteria involve assigning a category of stenosis on the basis of an individual laboratory-defined combination of peak systolic velocity (PSV), end diastolic velocity (EDV), and ratio of internal carotid artery velocity to common carotid artery velocity. This study will define a formula by use of regression analysis of the duplex ultrasound criteria compared with the angiographic results. This study will then compare the formula predictions of stenosis with the current means of combining categories to determine whether

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Wang, Gui Cheng, Zhong Feng Pan, Jin Yu Zhang, Chong Lue Hua, and Ju Dong Liu. "Finite Element Prediction of Grind-Hardening Layer Thickness." Key Engineering Materials 416 (September 2009): 253–58. http://dx.doi.org/10.4028/www.scientific.net/kem.416.253.

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According to the grind-hardening test and using the multiple linear regression analysis, the empirical formula of the tangential grinding force is established in this paper. Combined with the heat distribution coefficient formula of Rowe and Pettit, the thickness of the grind-hardening layer is predicted by using the finite element method under different grinding parameters. It draws the influence law of the grinding speed, cutting depth and feed rate to the thickness of the grind-hardening layer. It provided the basis to the drawing up, the application and the optimization of the grind-harden

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Ruiz-Medina, M. D., and M. J. Valderrama. "Orthogonal representations of random fields and an application to geophysics data." Journal of Applied Probability 34, no. 2 (1997): 458–76. http://dx.doi.org/10.2307/3215385.

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We present a brief summary of some results related to deriving orthogonal representations of second-order random fields and its application in solving linear prediction problems. In the homogeneous and/or isotropic case, the spectral theory provides an orthogonal expansion in terms of spherical harmonics, called spectral decomposition (Yadrenko 1983). A prediction formula based on this orthogonal representation is shown. Finally, an application of this formula in solving a real-data problem related to prospective geophysics techniques is presented.

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Ruiz-Medina, M. D., and M. J. Valderrama. "Orthogonal representations of random fields and an application to geophysics data." Journal of Applied Probability 34, no. 02 (1997): 458–76. http://dx.doi.org/10.1017/s0021900200101093.

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We present a brief summary of some results related to deriving orthogonal representations of second-order random fields and its application in solving linear prediction problems. In the homogeneous and/or isotropic case, the spectral theory provides an orthogonal expansion in terms of spherical harmonics, called spectral decomposition (Yadrenko 1983). A prediction formula based on this orthogonal representation is shown. Finally, an application of this formula in solving a real-data problem related to prospective geophysics techniques is presented.

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SHUKLA, J., and R. SURYANARAYANA. "Forecasting five-day mean contours of 700 mb using empirical influence coefficients." MAUSAM 19, no. 4 (2022): 407–12. http://dx.doi.org/10.54302/mausam.v19i4.5721.

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With the help of 5-day mean data for the ten-year period (1955-64) for July and August, empirical influence coefficients have been worked out. With these coefficients we derive a linear prediction formula for 700-mb contours at 12 radiosonde stations in India. We assume that the predicted 700-mb contour height is a linear function of the contours in the past pentad. The coefficients in Our prediction formula are evaluated by the method of least squares using past data.  The usefulness of the method was tested with data of 2 years (1965-66) and we find good success in forecasting br

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Gao, Yanxia, Yiwen Liu, Pengju Tang, and Chunqiao Mi. "Modification of Peck Formula to Predict Surface Settlement of Tunnel Construction in Water-Rich Sandy Cobble Strata and Its Program Implementation." Sustainability 14, no. 21 (2022): 14545. http://dx.doi.org/10.3390/su142114545.

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There are few studies on the land subsidence induced by shield tunneling in the water-rich sandy gravel stratum, which is of high research value. Linear regression and measured data were employed in this study to investigate the land subsidence induced by shield tunneling when crossing the water-rich sandy gravel stratum from Mudan Dadao Station to Longmen Dadao station of Luoyang Metro Line 2. The maximum land subsidence correction coefficient, α, and the settlement trough width correction coefficient, β, were introduced to modify the peck formula to predict land subsidence induced by shield

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Wang, Yan, Xinyu Bao, Song Zhang, et al. "Fetal growth prediction: Establishing fetal growth prediction curves in the second trimester." Technology and Health Care 29 (March 25, 2021): 345–50. http://dx.doi.org/10.3233/thc-218032.

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BACKGROUND: Monitoring fetal weight during pregnancy has a guiding role in prenatal care. OBJECTIVE: To establish a personalized fetal growth curve for effectively monitoring fetal growth during pregnancy. METHODS: (1) This study retrospectively analyzed the birth weight database of 2,474 singleton newborns delivered normally at term. The personalized fetal growth curve model was formed by combining the estimating birth weight of newborns with the proportional weight formula. (2) Multiple linear stepwise regression method was used to estimate the birth weight of newborns. RESULTS: (1) Delivery

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CHANG, IKSOO. "WINDING ANGLE DISTRIBUTION OF SELF-AVOIDING WALKS IN TWO DIMENSIONS." International Journal of Modern Physics C 11, no. 04 (2000): 721–29. http://dx.doi.org/10.1142/s012918310000064x.

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Winding angle problem of two-dimensional self-avoiding walks (SAWs) on a square lattice is studied intensively by the scanning Monte Carlo simulation at high, theta (Θ), and low-temperatures. The winding angle distribution PN(θ) and the even moments of winding angle [Formula: see text] are calculated for lengths of SAWs up to N = 300 and compared with the analytical prediction. At the infinite temperature (good solvent regime of linear polymers), PN(θ) is well described by either a Gaussian function or a stretched exponential function which is close to Gaussian, so, it is not incompatible with

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Tseng, A. A., M. H. Lee, and B. Zhao. "Design and Operation of a Droplet Deposition System for Freeform Fabrication of Metal Parts." Journal of Engineering Materials and Technology 123, no. 1 (1999): 74–84. http://dx.doi.org/10.1115/1.1286187.

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A droplet generator has been designed and built to make wax and tin alloy droplets for freeform fabrication. The linear stability theory of liquid jets for forming droplets is first reviewed. The analytical formula for predicting droplet size and breakup length at optimal conditions are then developed. The suitability of the formulas to be used for the present droplet deposition system is studied by comparing its prediction with the more accurate numerical results and previously published experimental data. Only the suitable formulation is adopted for the design and operation of the droplet ge

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Maas, John, Francis D. Galey, John R. Peauroi, et al. "The Correlation between Serum Selenium and Blood Selenium in Cattle." Journal of Veterinary Diagnostic Investigation 4, no. 1 (1992): 48–52. http://dx.doi.org/10.1177/104063879200400111.

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The selenium (Se) concentration of paired blood and serum samples from cattle was determined by 2 methods: 1) atomic absorption spectroscopy using hydride generation (HG-AAS), and 2) inductively coupled argon plasma emission spectroscopy using hydride generation (ICP). Samples from 327 cattle were analyzed by HG-AAS, and samples from 344 cattle were analyzed by ICP. The data were examined by linear regression analysis, and the technique of inverse prediction was utilized to determine prediction intervals for estimating blood Se concentration from known serum Se concentration. The correlation c

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Li, Ping Kang, Rui Pan, and Chen Chen. "A Novel Neural Network Based Modeling for Control of NO_x Emission in Power Plant." Applied Mechanics and Materials 643 (September 2014): 385–90. http://dx.doi.org/10.4028/www.scientific.net/amm.643.385.

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A novel neural network based modeling for non-linear model identification technique is proposed. It combines a nonlinear steady state model with a linear one, to describe the disturbance and dynamics in the coal-fired power plant. The modeling and training algorithm is used to develop a model of nitrogen oxides (NOx) emitted from the process where one-step ahead optimal prediction formula are developed. Two cases show that the resulting model provides a better prediction of NOx and fitting capabilities.

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Kao, Chin Ming, Li Chen, Chih Chiang Wei, and You Rong Fu. "Grammatical Evolution for Total Phosphorus in Reservoir Prediction." Advanced Materials Research 211-212 (February 2011): 369–73. http://dx.doi.org/10.4028/www.scientific.net/amr.211-212.369.

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The present study applied genetic programming (GP) to estimate the slump flow of high-performance concrete (HPC) using seven concrete ingredients. GP optimizes functions and their associated coefficients simultaneously and is suitable to automatically discover complex relationships between nonlinear systems. The results demonstrated that GP generates a more accurate formula and has lower estimating errors for predicting the slump flow of HPC than multiple linear regressions (MLRs).

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Tatsumi, Daisuke, and Takashi Tomita. "REAL-TIME TSUNAMI INUNDATION PREDICTION USING OFFSHORE TSUNAMI OBSERVATION." Coastal Engineering Proceedings 1, no. 32 (2011): 3. http://dx.doi.org/10.9753/icce.v32.currents.3.

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The previous real-time tsunami prediction based on the inversion method and the linear superposition can predict the tsunami in near shore area quickly, but it can not predict the tsunami inundation. The present study developed the empirical formula to estimate the overflow rate from the tsunami profile predicted by the previous method. Moreover, the level fill method was applied to predict the tsunami inundation from the estimated overflow rate. Numerical experiments using the actual topography and the historical earthquakes proved that the combination of the previous method, the empirical fo

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Najibi, Ali Reza, and Mohammad Reza Asef. "Prediction of seismic-wave velocities in rock at various confining pressures based on unconfined data." GEOPHYSICS 79, no. 4 (2014): D235—D242. http://dx.doi.org/10.1190/geo2013-0349.1.

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Laboratory measurement of P- and S-wave velocities ([Formula: see text] and [Formula: see text], respectively) under confining pressure indicates that with an increase in confining pressure, [Formula: see text] and [Formula: see text] will increase. The trend is exponential at low pressures, transitioning to linear above a critical pressure. However, the trend of the velocity-pressure curve for each rock specimen may be determined knowing the coefficients of this curve. We first studied how the coefficients of the velocity-pressure curve were expected to be functions of elastic moduli. Then, f

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Paroka, Daeng, Yuuichi Ohkura, and Naoya Umeda. "Analytical Prediction of Capsizing Probability of a Ship in Beam Wind and Waves." Journal of Ship Research 50, no. 02 (2006): 187–95. http://dx.doi.org/10.5957/jsr.2006.50.2.187.

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This paper presents a set of formulae to evaluate capsizing probability of a ship in both beam wind and waves based on a piece-wise linear approximation of roll restoring moment with and without simplifications as an extension of the work by Belenky (1993). The new simplified formula is also proposed on the basis of sto-chastic properties of roll motion near the angle of vanishing stability. These formulae are applied to a car carrier having a large windage area. As a result, it was pointed out that Belenky's simplified method could overestimate capsizing probability if the apparent roll angle

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Shanbhag, Sachin, and Yogesh M. Joshi. "Kramers–Kronig relations for nonlinear rheology. Part I: General expression and implications." Journal of Rheology 66, no. 5 (2022): 973–82. http://dx.doi.org/10.1122/8.0000480.

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The principle of causality leads to linear Kramers–Kronig relations (KKR) that relate the real and imaginary parts of the complex modulus [Formula: see text] through integral transforms. Using the multiple integral generalization of the Boltzmann superposition principle for nonlinear rheology, and the principle of causality, we derived nonlinear KKR, which relate the real and imaginary parts of the [Formula: see text] order complex modulus [Formula: see text]. For [Formula: see text], we obtained nonlinear KKR for medium amplitude parallel superposition (MAPS) rheology. A special case of MAPS

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Malozovsky, Yuriy, Lashounda Franklin, Chinedu Ekuma, and Diola Bagayoko. "Ab initio prediction of electronic, transport and bulk properties of Li2S." International Journal of Modern Physics B 29, no. 25n26 (2015): 1542006. http://dx.doi.org/10.1142/s0217979215420060.

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In this paper, we present results from ab initio, self-consistent, local density approximation (LDA) calculations of electronic and related properties of cubic antifluorite (anti-[Formula: see text]) lithium sulfide [Formula: see text]. Our nonrelativistic computations implemented the linear combination of atomic orbital (LCAO) formalism following the Bagayoko, Zhao and Williams method, as enhanced by Ekuma and Franklin (BZW–EF). Consequently, using several self-consistent calculations with increasing basis sets, we searched for the smallest basis set that yields the absolute minima of the occ

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Yu, Xinliang, and Xianwei Huang. "Prediction of glass transition temperatures of polyacrylates from the structures of motion units." Journal of Theoretical and Computational Chemistry 15, no. 02 (2016): 1650011. http://dx.doi.org/10.1142/s0219633616500115.

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The glass transition temperature [Formula: see text] is the most important parameter of an amorphous polymer. A quantitative structure-property relationship (QSPR) was developed for [Formula: see text]s of 82 polyacrylates, by applying stepwise multiple linear regression (MLR) analysis. Molecular descriptors used to describe polymer structures were, for the first time, calculated from the motion units of polymer backbones, which are chain segments with 20 carbons in length (10 repeating units). After internal validation with leave-one-out (LOO) method, external validation was carried out to te

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Minami, Daichi, Tokuteru Uesugi, Yorinobu Takigawa, and Kenji Higashi. "Artificial neural network assisted by first-principles calculations for predicting transformation temperatures in shape memory alloys." International Journal of Modern Physics B 33, no. 08 (2019): 1950055. http://dx.doi.org/10.1142/s0217979219500553.

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A key property for the design of new shape memory alloys is their working temperature range that depends on their transformation temperature T0. In previous works, T0 was predicted using a simple linear regression with respect to the energy difference between the parent and the martensitic phases, [Formula: see text]E[Formula: see text]. In this paper, we developed an accurate method to predict T0 based on machine learning assisted by the first-principles calculations. First-principles calculations were performed on 15 shape memory alloys; then, we proposed an artificial neural network method

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Wang, Lingqian, Hui Zhou, Yufeng Wang, et al. "Three-parameter prestack seismic inversion based on L1-2 minimization." GEOPHYSICS 84, no. 5 (2019): R753—R766. http://dx.doi.org/10.1190/geo2018-0730.1.

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Prestack inversion has become a common approach in reservoir prediction. At present, the critical issue in the application of seismic inversion is the estimation of elastic parameters in the thin layers and weak reflectors. To improve the resolution and the accuracy of the inversion results, we introduced the difference of [Formula: see text] and [Formula: see text] norms as a nearly unbiased approximation of the sparsity of a vector, denoted as the [Formula: see text] norm, to the prestack inversion. The nonconvex penalty function of the [Formula: see text] norm can be decomposed into two con

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Jefferson, M. F., N. Pendleton, S. Mohamed, et al. "Prediction of hemorrhagic blood loss with a genetic algorithm neural network." Journal of Applied Physiology 84, no. 1 (1998): 357–61. http://dx.doi.org/10.1152/jappl.1998.84.1.357.

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Jefferson, M. F., N. Pendleton, S. Mohamed, E. Kirkman, R. A. Little, S. B. Lucas, and M. A. Horan. Prediction of hemorrhagic blood loss with a genetic algorithm neural network. J. Appl. Physiol. 84(1): 357–361, 1998.—There is no established method for accurately predicting how much blood loss has occurred during hemorrhage. In the present study, we examine whether a genetic algorithm neural network (GANN) can predict volume of hemorrhage in an experimental model in rats and we compare its accuracy to stepwise linear regression (SLR). Serial measurements of heart period; diastolic, systolic, a

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Zheng, Wei Feng, Jing Quan Wu, Can Liu, Guang Hui Li, and Guang Yu Tan. "Study on Prediction Model and Experiments of High-Speed Milling Force for Stainless Steel 316." Applied Mechanics and Materials 33 (October 2010): 6–10. http://dx.doi.org/10.4028/www.scientific.net/amm.33.6.

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Through the orthogonal test in which stainless steel 316 was milled with high speed by solid cemented carbide end cutter, the milling force was measured. By multiple linear regression method, the prediction formula of the milling forces of stainless steel 316 was found. In addition, this study validates to significant degree of the formula meeting the actual condition, which can provide a reference to better selection of cutting parameter in advance and the design of high-speed milling cutter.

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Djebli, Abdelkader, Mostefa Bendouba, and Aid Abdelkarim. "Fatigue Life Prediction under Variable Loading Based a Non-Linear Energy Model." International Journal of Engineering Research in Africa 22 (February 2016): 14–21. http://dx.doi.org/10.4028/www.scientific.net/jera.22.14.

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A method of fatigue damage accumulation based upon application of energy parameters of the fatigue process is proposed in the paper. Using this model is simple, it has no parameter to be determined, it requires only the knowledge of the curve W–N (W: strain energy density N: number of cycles at failure) determined from the experimental Wöhler curve. To examine the performance of nonlinear models proposed in the estimation of fatigue damage and fatigue life of components under random loading, a batch of specimens made of 6082 T6 aluminium alloy has been studied and some of the results are repo

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Hare, Jenna, and Alex E. Hay. "On the concentration dependence of sound attenuation in aqueous suspensions of silt- and sand-sized sediment: A compilation and analysis of the available data." JASA Express Letters 2, no. 3 (2022): 036002. http://dx.doi.org/10.1121/10.0009830.

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The available measurements of the acoustic attenuation coefficient, α, in aqueous suspensions of glass beads and sand are investigated for [Formula: see text] (where k is the acoustic wavenumber and a the grain radius) and volume concentrations, [Formula: see text], up to 0.65. The data are found to collapse substantially when dividing by volume concentration, consistent with the expected first-order linear dependence. Equations of the form [Formula: see text], with ka-dependent coefficients, provide a prediction that is within a factor of 2 for low and intermediate values of ka.

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Salazar-Cuytun, R., R. Portillo-Salgado, R. A. García-Herrera, et al. "Prediction of live weight in growing hair sheep using the body volume formula." Arquivo Brasileiro de Medicina Veterinária e Zootecnia 74, no. 3 (2022): 483–89. http://dx.doi.org/10.1590/1678-4162-12624.

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ABSTRACT Due to the conditions in which traditional sheep production systems operate, the evaluation of animal growth from live weight (LW) is limited by the high cost of the livestock scale as well as the sophisticated maintenance required. In this scenario, in recent years, biometric measurements have been investigated as an accurate indirect method to predict the LW of farm animals. Therefore, the present study was undertaken to examine different models for predicting the body weight of growing lambs using the body volume (BV) formula. Body volume, heart girth (HG) and body length (BL) data

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