a mathematical process of finding the linear approximation of inputs and corresponding outputs
Examples of 'linearization' in a sentence
linearization
The mathematical equations are solved using the spectral local linearization method.
Hloniphile Sithole, Hiranmoy Mondal, Precious Sibanda 2018, 'Entropy generation in a second grade magnetohydrodynamic nanofluid flow over a convectivelyheated stretching sheet with nonlinear thermal radiation and viscous dissipation',Results in Physicshttp://www.sciencedirect.com/science/article/pii/S2211379718300378. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Cortex linearization and layer-dependent signal extraction were subsequently performed for detecting layer-specific cortical activity.
Hyungjun Kim, Junghun Cho, Young R. Kim, Youngkyu Song, Song-I Chun, Ji-Yeon Suh,Jeong Kon Kim, Yeon-Hee Ryu, Sun-Mi Choi, Hyungjoon Cho, Gyunggoo Cho 2014, 'Response of the Primary Auditory and Non-Auditory Cortices to Acoustic Stimulation:A Manganese-Enhanced MRI Study', PLoS ONE10.1371/journal.pone.0090427. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Theoretically, linearization of a non-linear model affects the accuracy and reliability of the adjustment result.
C. Li, C. Chen, Z. Guo, Z. Guo, Q. Liu 2018, 'COMPARISON OF THE LINEAR AND THE NON-LINEAR BLOCK ADJUSTMENT ON SATELLITE IMAGES RESEARCH',The International Archives of the Photogrammetry, Remote Sensing and Spatial InformationScienceshttps://www.int-arch-photogramm-remote-sens-spatial-inf-sci.net/XLII-3/775/2018/isprs-archives-XLII-3-775-2018.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
A classifying program with nonlinear terms uses piecewise linearization technique to obtain a global optimum.
Yao-Huei Huang, Yu-Chien Ko, Hao-Chun Lu 2012, 'An Optimal Classification Method for Biological and Medical Data', Mathematical Problems in Engineeringhttp://dx.doi.org/10.1155/2012/398232. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The methods do not need linearization and weak nonlinearity assumptions.
Norhasimah Mahiddin, S. A. Hashim Ali 2014, 'Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and MetastasisUsing Modified Adomian Decomposition and Homotopy Perturbation Methods', Journal of Applied Mathematicshttp://dx.doi.org/10.1155/2014/654978. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Numerical simulation results are presented to demonstrate the effectiveness of the feedback linearization controller.
Nicolaos Antonio CUTULULIS 2004, 'FEEDBACK LINEARIZATION CONTROL OF WIND POWER SYSTEMS', Analele Universităţii "Dunărea de Jos" Galaţi: Fascicula III, Electrotehnică, Electronică,Automatică, Informaticăhttp://www.ann.ugal.ro/eeai/archives/2004/L3-Cutululis.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Besides geometrically exact theory, initial post-buckling behavior and linearization are briefly sketched.
Antonia Jaguljnjak Lazarević, Mario Uroš, Ana Čengija 2017, 'FUNDAMENTAL MODELS OF STRUCTURAL STABILITY', Rudarsko-geološko-naftni Zbornikhttp://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=259846&lang=en. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The numerical verification confirms a considerable closed-loop robustness improvement, compared with the cascade-type feedback-linearization controller.
Seok-Kyoon Kim 2019, 'Nonlinear Position Stabilizing Control with Active Damping Injection Technique forMagnetic Levitation Systems', Electronicshttps://www.mdpi.com/2079-9292/8/2/221. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The latter ones are treated via linearization; all of them prove instability.
Mioc V., Stavinschi M. 2000, 'Stability of the relative equilibria in the generalized J2 problem', Serbian Astronomical Journalhttp://www.doiserbia.nb.rs/img/doi/1450-698X/2000/1450-698X0061009M.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)