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Journal articles on the topic 'Analysis of deviations'

Author: Grafiati

Published: 28 June 2021

Last updated: 9 February 2022

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1

Alonso-Gutiérrez, David, Joscha Prochno, and Christoph Thäle. "Large deviations, moderate deviations, and the KLS conjecture." Journal of Functional Analysis 280, no. 1 (January 2021): 108779. http://dx.doi.org/10.1016/j.jfa.2020.108779.

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2

Arous, Gérard Ben, and Fabienne Castell. "Flow Decomposition and Large Deviations." Journal of Functional Analysis 140, no. 1 (August 1996): 23–67. http://dx.doi.org/10.1006/jfan.1996.0097.

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3

Gamboa, Fabrice, Jan Nagel, and Alain Rouault. "Sum rules via large deviations." Journal of Functional Analysis 270, no. 2 (January 2016): 509–59. http://dx.doi.org/10.1016/j.jfa.2015.08.009.

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4

Shi, Zhao Yao, Jia Chun Lin, and Michael Paul Krystek. "Uncertainty Analysis of Helical Deviation Measurements." Key Engineering Materials 437 (May 2010): 212–16. http://dx.doi.org/10.4028/www.scientific.net/kem.437.212.

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The helix is a complex geometrical element. During the process of a dynamical measurement of the helical deviations, many factors, including the machine and the environment, lead to measurement errors. Although ISO as well as national standards stipulate the tolerances and assessment methods for helical deviations, these standards contribute little to the uncertainty calculations concerning such measurements. According to the Guide to the Expression of Uncertainty in Measurement (GUM), all measurement results must have a stated uncertainty associated to them. But in most cases of helical deviation measurements, no uncertainty value is given, simply because no measurement uncertainty calculation procedure exists. For the case of helical deviation measurements on a Computer Numeric Control (CNC) polar coordinate machine, this paper analyses in detail all kinds of factors contributing to the measurement uncertainty, and gives the calculation procedure of the measurement uncertainty of helical deviation. As an example, the calculation of the measurement uncertainty of the helical deviations of a worm is presented.

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5

SUGIMURA, Nobuhiro, and Naoki SATONAKA. "Analysis of shape generation motion deviations based on geometric deviations." Proceedings of the JSME annual meeting 2004.4 (2004): 301–2. http://dx.doi.org/10.1299/jsmemecjo.2004.4.0_301.

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6

Čekan, Pavol, Jozef Harangozó, Zuzana Szabová, Richard Kuracina, and Karol Balog. "Analysis Of Deviation In The Measurement Of Vibrations." Research Papers Faculty of Materials Science and Technology Slovak University of Technology 23, no. 36 (June 1, 2015): 9–15. http://dx.doi.org/10.1515/rput-2015-0001.

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Abstract In order to achieve relevant and exact value in measurement of vibrations, it is necessary to add the corresponding value of deviation to the result of measurement. As the topic of determining the deviation is too complex and the scope of article is limited, we focus on the characteristic features and mathematical description of the basic types of deviations and some partial deviations which should betaken into account in measurement.

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7

Aihua, Fan. "Limsup deviations on trees." Analysis in Theory and Applications 20, no. 2 (June 2004): 113–48. http://dx.doi.org/10.1007/bf02901437.

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8

Rockafellar, R. Tyrrell, Stan Uryasev, and Michael Zabarankin. "Generalized deviations in risk analysis." Finance and Stochastics 10, no. 1 (January 2006): 51–74. http://dx.doi.org/10.1007/s00780-005-0165-8.

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9

Michailidis, George, and Jan De Leeuw. "Homogeneity analysis using absolute deviations." Computational Statistics & Data Analysis 48, no. 3 (March 2005): 587–603. http://dx.doi.org/10.1016/j.csda.2004.03.007.

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10

Maulidya, Fitra, and Ninuk Lustyantie. "DEVIATION IN POETRY GUILLAUME APOLLINAIRE'S POETRY COLLECTION." IJLECR - INTERNATIONAL JOURNAL OF LANGUAGE EDUCATION AND CULTURE REVIEW 5, no. 2 (December 31, 2019): 173–79. http://dx.doi.org/10.21009/ijlecr.042.20.

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This research intends to describe the types of deviations contained in the collection of poems Calligrammes by Guillaume Apollinaire. The approach used is a qualitative approach with content analysis method. The data collection technique used is Miles and Huberman. The theory used as the main reference is the deviation theory according to Geoffrey N. Leech which divides the deviation into eight types, namely lexical deviation, phonological deviation, grammatical deviation which includes morphological and syntactic, graphological deviation, semantic deviation, dialectal deviation, deviation of register, and deviation of historical period. The result of data analysis from 7 poems found 5 out of 8 types of deviation which are diffused in each poem, including 24 semantic deviations, 18 graphological deviations, 4 deviations of register, 3 syntactic deviations and 2 lexical deviations. While the types of phonological deviation, morphological deviation, dialectal deviation, and deviation of historical period are not found in any of the data in this collection of poems Calligrammes.

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11

Zheng, Xu, Wuxing Jing, and Changsheng Gao. "Trajectory characteristic analysis influenced by initial state errors for long-range vehicles." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 7 (May 28, 2018): 2413–32. http://dx.doi.org/10.1177/0954410018778800.

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The initial state errors, caused by the Earth’s un-homogeneity through the leveling and alignment of an inertial platform before launching a long-range vehicle, will bring about remarkable flight state deviations and fall point deviations by flight dynamics. In order to analyze the propagation characteristics of the initial state errors and rapidly estimate their influence magnitude, an analytical propagation model of trajectory design is deduced by employing state space perturbation theory in nominal launch coordinate system. Then, propagation matrices of engine-cutoff state deviations and fall point deviations are obtained. In the simulations, deviations of engine-cutoff and fall point are computed in the case of a fixed launch azimuth, different launch azimuths and different launch points. Next, propagation regularities of the initial state errors are analyzed from the launch point to the engine-cutoff as well as to fall point. Conclusions are as follows: (1) the estimation accuracy of flight states deviations during boost phase will be distinctly enhanced when considering the force term deviations; (2) in the case of different launch azimuths, position and velocity deviations of engine-cutoff in the x, y directions and longitudinal deviation of fall point are symmetrical at the azimuth of 45° where these deviations are maximum. Comparatively, position and velocity deviations of engine-cutoff in the z direction and lateral deviation of fall point are symmetrical at the azimuth of −45°; (3) the proposed analytical propagation model of the initial state errors has a high estimation accuracy within the error percentage of 2%, which can improve computational efficiency by 100 times and is more suitable for multiple simulation scenarios.

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12

Zhao, Xia, and Jianfeng Li. "The Influence of Pin Deviation on the Fracture Correction and the Fixator Adjustment with Sensitivity and Kinematic Analysis." BioMed Research International 2018 (October 22, 2018): 1–16. http://dx.doi.org/10.1155/2018/9267570.

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Fracture correction is important orthopedics operation and can be performed by unilateral external fixator. Due to pin deviations being inevitable during the operation, searching the impacts of pin deviation on the fracture correction and fixator joint adjustment are important. This study puts forward evaluation index with sensitivity analysis for investigating the impact of three orientation deviations and three position deviations on fracture correction. Meanwhile, based on a clinical case from a 28-year-old female, the influence of pin deviation on the adjustment of fixator joints was analyzed by inverse kinematic method. Different pin deviations have different sensitivity; the sensitivity of orientation deviation is relatively larger than position deviation. The existence of pin deviation will result in the change of the adjustment value of fixator joints. In addition, the experiments of seven situations were established to verify the analytical results. This study revealed the sensitivity of different pin deviations which can also be used to predict the adjustment value of fixator joints and the accuracy of fracture correction. This research also helps to reduce operation time and decrease damage to soft tissue by reducing the frequency of inserting pins.

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13

Zhang, Tusheng. "Large deviations for stochastic nonlinear beam equations." Journal of Functional Analysis 248, no. 1 (July 2007): 175–201. http://dx.doi.org/10.1016/j.jfa.2007.03.029.

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14

HORIBE, Rihito, Naoki SATONAKA, and Nobuhiro SUGIMURA. "A study on motion deviation analysis of machine tools : Analysis based on geometric deviations of components." Proceedings of Conference of Kansai Branch 2003.78 (2003): _5–19_—_5–20_. http://dx.doi.org/10.1299/jsmekansai.2003.78._5-19_.

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15

Chahbouni, Mouhssine, Said Boutahari, and Driss Amegouz. "Influence of form deviations on the tolerance analysis." International Journal of Engineering & Technology 3, no. 3 (July 13, 2014): 343. http://dx.doi.org/10.14419/ijet.v3i3.2969.

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The objective of this paper is to present the influence of form deviations on the tolerance analysis of an assembly. For this we will study initially the tolerance analysis using the deviations and clearances domains method, a second time we will integrate the influence of form tolerances on the allowable deviation domain. To illustrate this analysis we used a classical assembly with position and form tolerances (coaxiality and cylindricity). Finally a comparative study between the two cases was illustrated. Keywords:Tolerance Analysis, CAD/CAM, Assembly Systems, Engineering Drawings.

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16

Dyakonov, J., K. Mishchenko, A. Hering, G. Unger, J. Korecký, K. Melka, J. Zoubková, et al. "Interlaboratory Tests of X-Ray Quantitative Phase Analysis." Powder Diffraction 7, no. 3 (September 1992): 137–41. http://dx.doi.org/10.1017/s0885715600018480.

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AbstractThe results of an international project involving five countries and seven laboratories performing over 400 analyses for testing the interlaboratory reproducibility and accuracy using quantitative powder diffraction are presented in this report. Four natural and four artificial mineral mixtures were examined. The RIR (reference intensity ratio) values for all mineral components were either measured or calculated. The relative standard deviation of the interlaboratory determinations range from 5 to 20 percent (for low concentrations, the relative standard deviations can attain 60% percent). Due to systematic errors, the relative standard deviations of the interlaboratory determinations generally exceed the standard deviations determined by individual laboratories. The best results were obtained when the RIR values were measured independendy in each laboratory.

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17

Xu, Xun, Haidong Yu, Yunyong Li, and Xinmin Lai. "Compliant assembly deviation analysis of large-scale thin-walled structures in different clamping schemes via ANCF." Assembly Automation 40, no. 2 (November 3, 2019): 305–17. http://dx.doi.org/10.1108/aa-01-2019-0018.

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Purpose The structure stiffness is greatly affected by the fixture constraints during assembly due to the flexibility of large-scale thin-walled structures. The compliant deformation of structures is usually not consistent for the non-uniform stiffness in various clamping schemes. The purpose of this paper is to investigate the correlation between the assembly quality and the clamping schemes of structures with various initial deviations and geometrical parameters, which is based on the proposed irregular quadrilateral plate element via absolute nodal coordinate formulation (ANCF). Design/methodology/approach Two typical clamping schemes are specified for the large-scale thin-walled structures. Two typical deviation modes are defined in both free and clamping states in the corresponding clamping schemes. The new irregular quadrilateral plate element via ANCF is validated to analyze the compliant deformation of assembled structures. The quasi-static force equilibrium equations are extended considering the factors of clamping constraints and geometric deviations. Findings The initial deviations and geometrical parameters strongly affect the assembly deviations of structures in two clamping schemes. The variation tendencies of assembly deviations are demonstrated in details with the circumferential clamping position and axial clamping position in two clamping schemes, providing guidance to optimize the fixture configuration. The assembly quality of structures with deviations can be improved by configuration synthesis of the clamping schemes. Originality/value Typical over-constraint clamping schemes and deviation modes in clamping states are defined for large-scale thin-walled structures. The plate element via ANCF is extended to analyze the assembly deviations of thin-walled structures in various clamping schemes. Based on the proposed theoretical model, the effects of clamping schemes and initial deviations on the deformation and assembly deviation propagation of structures are investigated.

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18

Lee, Chau-Kwor, and J. Keith Ord. "Discriminant Analysis Using Least Absolute Deviations." Decision Sciences 21, no. 1 (January 1990): 86–96. http://dx.doi.org/10.1111/j.1540-5915.1990.tb00318.x.

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19

Maier, Robert S. "Colliding stacks: A large deviations analysis." Random Structures & Algorithms 2, no. 4 (December 1991): 379–420. http://dx.doi.org/10.1002/rsa.3240020404.

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20

Gorobchenko, Oleksander, and Victor Tkachenko. "Statistical analysis of locomotives traction motors performance." MATEC Web of Conferences 287 (2019): 04002. http://dx.doi.org/10.1051/matecconf/201928704002.

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In this article the authors quoted results of traction motors speed performance variations statistical analysis and wage wheels bands diameters deviations according to operation data. The authors of this publication offered the method of determining the non-uniformities of current distribution in the power circuit of the locomotive, based on probabilistic approach, and also performed its comparison with classic computation approach. The next statistical performance of the continuous current locomotives traction drive is as follows: mathematical expectation of the motors magnetic flux; mean square deviation of magnetic flux; statistical dispersion and average square deviation of wage wheels bands diameters. With help of the received data it became possible to improve determination of non-uniformities currents deviations on traction motors during loading of the electric locomotives.

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21

Guionnet, Alice, and Ofer Zeitouni. "Addendum to: large deviations asymptotics for spherical integrals." Journal of Functional Analysis 216, no. 1 (November 2004): 230–41. http://dx.doi.org/10.1016/j.jfa.2003.11.013.

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22

Ren, Jiagang, and Xicheng Zhang. "Freidlin–Wentzell's large deviations for stochastic evolution equations." Journal of Functional Analysis 254, no. 12 (June 2008): 3148–72. http://dx.doi.org/10.1016/j.jfa.2008.02.010.

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23

Święch, Andrzej, and Jerzy Zabczyk. "Large deviations for stochastic PDE with Lévy noise." Journal of Functional Analysis 260, no. 3 (February 2011): 674–723. http://dx.doi.org/10.1016/j.jfa.2010.09.016.

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24

Kasparavičiūtė, Aurelija, and Leonas Saulis. "Large deviations for weighted random sums." Nonlinear Analysis: Modelling and Control 18, no. 2 (April 25, 2013): 129–42. http://dx.doi.org/10.15388/na.18.2.14017.

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In the present paper we consider weighted random sums ZN = ∑j=1NajXj, where 0 ≤ aj < ∞, N denotes a non-negative integer-valued random variable, and {X, Xj , j = 1, 2,...} is a family of independent identically distributed random variables with mean EX = µ and variance DX = σ2 > 0. Throughout this paper N is independent of {X, Xj , j = 1, 2,...} and, for definiteness, it is assumed Z0 = 0. The main idea of the paper is to present results on theorems of large deviations both in the Cramér and power Linnik zones for a sum ~ZN = (ZN − EZN )(DZN )−1/2 , exponential inequalities for a tail probability P(~ZN > x) in two cases: µ = 0 and µ ≠ 0 pointing out the difference between them. Only normal approximation is considered. It should be noted that large deviations when µ ≠ 0 have been already considered in our papers [1,2].

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25

Mesón, Alejandro, and Fernando Vericat. "Large deviations for multiple ergodic averages." Journal of Interdisciplinary Mathematics 20, no. 8 (November 17, 2017): 1603–17. http://dx.doi.org/10.1080/09720502.2018.1423910.

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26

Butler, S., S. Pavlov, and J. Rosenblatt. "Large deviations for martingales and derivatives." Journal of Mathematical Analysis and Applications 366, no. 1 (June 2010): 67–80. http://dx.doi.org/10.1016/j.jmaa.2009.12.054.

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27

Finnoff, William. "Integration of large-deviation kernels and applications to large deviations for evolutionary games." Probability Theory and Related Fields 122, no. 1 (January 1, 2002): 141–62. http://dx.doi.org/10.1007/s004400100167.

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28

TAKAHASHI, Atsushi, Arata YOSHIDA, Wiroj THASANA, Nobuhiro SUGIMURA, Yoshitaka TANIMIZU, and Koji IWAMURA. "D024 Analysis of Kinematic Motion Deviations of Machining Centers Based on Geometric Tolerances." Proceedings of International Conference on Leading Edge Manufacturing in 21st century : LEM21 2013.7 (2013): 553–58. http://dx.doi.org/10.1299/jsmelem.2013.7.553.

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29

Ivanov, Stoyu I. "Intraday analysis of currency ETFs." International Journal of Managerial Finance 11, no. 4 (September 7, 2015): 438–50. http://dx.doi.org/10.1108/ijmf-10-2014-0161.

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Purpose – The purpose of this paper is to find if erosion of value exists in grantor trust structured exchange traded funds. The author examines the performance of six currency exchange traded funds’ tracking errors and pricing deviations on intradaily-one-minute interval basis. All of these exchange traded funds are grantor trusts. The author also studies which metric is of more importance to investors in these exchange traded funds by examining how these performance metrics are related to the exchange traded funds’ arbitrage mechanism. Design/methodology/approach – The Australian Dollar ETF (FXA) is designed to be 100 times the US Dollar (USD) value of the Australian Dollar, the British Pound ETF (FXB) is designed to be 100 times the USD value of the British Pound, the Canadian Dollar ETF (FXC) is designed to be 100 times the USD value of the Canadian Dollar, the Euro ETF (FXE) is designed to be 100 times the USD value of the Euro, the Swiss Franc ETF (FXF) is designed to be 100 times the USD value of the Swiss Franc and the Japanese Yen ETF (FXY) is designed to be 10,000 times the USD value of the Japanese Yen. The author uses these proportions to estimate pricing deviations. The author uses a moving average model based on an Elton et al. (2002) to estimate if tracking error or pricing deviation are more relevant in ETF arbitrage and thus to investors. Findings – The author documents that the average intradaily tracking errors for the six currency ETFs are relatively small and stable. The tracking errors are highest for the FXF, 0.000311 percent and smallest for FXB, −0.000014 percent. FXB is the only ETF with a negative tracking error. All six ETFs average intradaily pricing deviations are negative with the exception of the FXA pricing deviation which is a positive $0.17; the rest of the ETFs pricing deviations are −0.3778 for FXB, −0.3231 for FXC, −0.2697 for FXC, −0.2697 for FXE, −0.6484 for FXF and −0.9273 for FXY. All exhibit skewness, kurtosis, very high levels of positive autocorrelation and negative trends, which suggests erosion of value. The author also found that these exchange traded funds’ arbitrage mechanism is more closely related to the exchange traded funds’ pricing deviation than tracking error. Research limitations/implications – The paper uses high-frequency one-minute interval data in the analysis of pricing deviation which might be artificially deflating standard errors and thus inflating the t-test significance values. Originality/value – The paper is relevant to ETF investors and contributes to the continuing search in the finance literature of better ETF performance metric.

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30

Wu, L. M. "Feynman-Kac Semigroups, Ground State Diffusions, and Large Deviations." Journal of Functional Analysis 123, no. 1 (July 1994): 202–31. http://dx.doi.org/10.1006/jfan.1994.1087.

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31

Wu, Liming. "Uniformly Integrable Operators and Large Deviations for Markov Processes." Journal of Functional Analysis 172, no. 2 (April 2000): 301–76. http://dx.doi.org/10.1006/jfan.1999.3544.

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32

Dong, Zhao, Rangrang Zhang, and Tusheng Zhang. "Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations." Potential Analysis 53, no. 1 (February 2, 2019): 183–202. http://dx.doi.org/10.1007/s11118-019-09763-1.

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33

Araujo, Vitor, Andressa Souza, and Edvan Trindade. "Upper Large Deviations Bound for Singular-Hyperbolic Attracting Sets." Journal of Dynamics and Differential Equations 31, no. 2 (December 22, 2018): 601–52. http://dx.doi.org/10.1007/s10884-018-9723-6.

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34

Szewczak, Zbigniew S. "Large deviations in operator form." Positivity 12, no. 4 (October 21, 2008): 631–41. http://dx.doi.org/10.1007/s11117-008-2180-4.

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35

Booth, J. "The statistical analysis of standard-cost deviations." IMA Journal of Management Mathematics 8, no. 2 (February 1, 1997): 167–79. http://dx.doi.org/10.1093/imaman/8.2.167.

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36

Barešić, Anja, Lisa E. M. Hopcroft, Hubert H. Rogers, Jacob M. Hurst, and Andrew C. R. Martin. "Compensated Pathogenic Deviations: Analysis of Structural Effects." Journal of Molecular Biology 396, no. 1 (February 2010): 19–30. http://dx.doi.org/10.1016/j.jmb.2009.11.002.

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37

Ardila, A., and M. Rosselli. "Language Deviations in Aphasia: A Frequency Analysis." Brain and Language 44, no. 2 (February 1993): 165–80. http://dx.doi.org/10.1006/brln.1993.1011.

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38

SATONAKA, Naoki, and Nobuhiro SUGIMURA. "A Study on Analysis of Kinematic Motion Deviations of Machine Tools : Analysis Based on Geometric Deviations of Features." Proceedings of The Manufacturing & Machine Tool Conference 2004.5 (2004): 201–2. http://dx.doi.org/10.1299/jsmemmt.2004.5.201.

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39

Hu, Zhishui. "Moderate deviations for finite population student's statistic." Journal of Mathematical Analysis and Applications 343, no. 2 (July 2008): 672–80. http://dx.doi.org/10.1016/j.jmaa.2008.01.065.

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40

Yang, Xiangfeng. "Large deviations for Markov bridges with jumps." Journal of Mathematical Analysis and Applications 416, no. 1 (August 2014): 1–12. http://dx.doi.org/10.1016/j.jmaa.2014.02.031.

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41

Ram, Siti Ramlah, Novia Juita, and Siti Ainim Liusti. "PENYIMPANGAN PRINSIP KESANTUNAN BERBAHASA MAMAH DEDEH DALAM ACARA TELEVISI MAMAH DAN AA BERAKSI." Jurnal Bahasa dan Sastra 7, no. 1 (December 3, 2019): 78. http://dx.doi.org/10.24036/81072790.

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This article aims to describe the type of deviations principle of language politeness and describe the cause of the principle of politeness in Mamah Dedeh. This type of research is a qualitative research that is descriptive. The instruments used in this research are researchers as primary instruments and data analysis as auxiliary instruments. Data collection techniques are done by documentation. Data wiring checks using detailed description techniques. The steps for analyzing data are collection, classification, coding and data analysis. The findings of this research are the deviations of the principle of civility Mamah Dedeh in the television show Mamah dan Aa Beraksi in Indosiar include the deviation Wisdom maxim, deviation Generosity maxim, deviation Appraisal maxim, deviations of Humility maxim, the deviation of Agreement maxim, and the deviations Sympathy maksim. The cause caused the speaker to intentionally accuse the spoken partner, speak not in context, protective of the opinions, the emotional sense, the criticism directly with the rant, mock, and give no sympathy.Keywords: language politeness, the principle of politeness, talk show

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42

Tonetti, Daniel, Jagdish Bhatnagar, and L. Dade Lunsford. "Quantitative analysis of movement of a cervical target during stereotactic radiosurgery using the Leksell Gamma Knife Perfexion." Journal of Neurosurgery 117, Special_Suppl (December 2012): 211–16. http://dx.doi.org/10.3171/2012.3.gks1266.

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Object The design of the Leksell Gamma Knife Perfexion facilitates stereotactic radiosurgery (SRS) on cervical spine targets provided that the target itself is located superior to the standard G stereotactic head frame base ring and does not move. This study was designed to measure potential deviations of targets in the upper cervical spine while using the currently available Leksell Coordinate Frame G. Methods A commercially available skull-and–cervical spine model was adapted for SRS using the Leksell Gamma Knife Perfexion. The Leksell Coordinate Frame G was attached to the model, and both CT and fluoroscopic imaging were performed to determine the potential for target deviation at standard Gamma Knife treatment angles of 70°, 90°, and 110°. In addition, target deviations observed at various heights of the patient positioning table were analyzed using a pair of orthogonal fluoroscopic images obtained at a standard 90° gamma angle and compared with target position as it relates to a reference bed height of 4.5 cm. Results An examination of multiple radiopaque targets embedded in or affixed to the model showed target deviations ranging from as low as 3.53 mm at the medial occiput–C1 junction to 15.56 mm at the C3–4 level during 70° extension. Target deviations at 110° flexion relative to targets on a 90° CT scan included deviations ranging from 0.58 mm at the medial occiput–C1 junction to 13.32 mm at the medial C3–4 level. Relative to targets observed at the Perfexion table height of 4.5 cm, target deviation at a table height of 3 cm varied from 0.44 to 5.26 mm. At a table height of 5.5 cm, target deviation varied from 0.44 to 3.60 mm, and at a maximum height of 5.8 cm, target deviation varied from 0.62 to 4.30 mm. Conclusions Target deviation grossly exceeded clinical tolerance and was greater the farther the distance between the cranial base and the cervical spine target. Simple and reproducible methods that allow SRS centers to immobilize the patient's cervical spine using the currently available model G head frame are necessary to increase the range of targets that can be treated safely using the Leksell Gamma Knife Perfexion.

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43

Wang, Ran, and Tusheng Zhang. "Moderate Deviations for Stochastic Reaction-Diffusion Equations with Multiplicative Noise." Potential Analysis 42, no. 1 (July 13, 2014): 99–113. http://dx.doi.org/10.1007/s11118-014-9425-6.

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44

Rider, B. "Deviations from the Circular Law." Probability Theory and Related Fields 130, no. 3 (April 29, 2004): 337–67. http://dx.doi.org/10.1007/s00440-004-0355-x.

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45

Jin, Ying Ming. "Convergence Analysis of Surrogate Assisted (1+1) Evolutionary Algorithm." Applied Mechanics and Materials 263-266 (December 2012): 2339–43. http://dx.doi.org/10.4028/www.scientific.net/amm.263-266.2339.

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This paper analyzes the convergence deviation of surrogate assisted (1+1)EA. A model of surrogate assisted (1+1)EA can be built by the finite markov chain, then we got the transition matrix of this algorithm. The deviation of surrogate model can be expressed by the perturbation of transition matrix. So we can estimate the convergence deviation with the method of matrix perturbation analysis. Analyzing of the convergence changes brought by surrogate model’s deviations can help us to have a better select of the surrogate model.

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46

DiBerardino, Louis A., Chantal A. Ragetly, Sungjin Hong, Dominique J. Griffon, and Elizabeth T. Hsiao-Wecksler. "Improving Regions of Deviation Gait Symmetry Analysis With Pointwise t Tests." Journal of Applied Biomechanics 28, no. 2 (May 2012): 210–14. http://dx.doi.org/10.1123/jab.28.2.210.

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The regions of deviation method has been proposed as a technique for identifying regions of the gait cycle where joint motion deviates from normal (Shorter et al., 2008). The original statistical analysis distinguished only peak values during stance and swing. In the current article, we extend the approach by examining deviations from normal throughout the entire gait cycle using pointwise t tests. These methods were demonstrated on hind-limb joint angles of 21 Labrador Retrievers without and with cranial cruciate ligament disease. Results were compared with peak difference analysis previously performed on these subjects. All points in the gait cycle where symmetry deviations were significantly affected by cranial cruciate ligament disease (via pointwise t tests) were defined as regions of deviation from symmetry. Discriminant function analysis was used to consider single subjects and validate that these regions were truly areas of difference between groups. Regions of deviation encompassed previously determined significant peak differences, while extending analysis to additional areas of asymmetry. Discriminant function analysis suggested that the region of deviation method is a viable approach for distinguishing motion pattern differences. This enhanced method may help researchers better understand the mechanisms behind lameness and compensation.

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Brändle, C., and E. Chasseigne. "Large deviations estimates for some non-local equations." Nonlinear Analysis: Theory, Methods & Applications 71, no. 11 (December 2009): 5572–86. http://dx.doi.org/10.1016/j.na.2009.04.059.

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Yu, Jian-feng, Wen-Bin Tang, Yuan Li, and Jie Zhang. "Dimensional variation propagation modeling and analysis for single-station assembly based on multiple constraints graph." Assembly Automation 36, no. 3 (August 1, 2016): 308–17. http://dx.doi.org/10.1108/aa-11-2015-090.

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Purpose Modeling and analysis of dimensional variation propagation is a crucial support technology for variation reduction, product/process design evaluation and recognition of variation source. However, owing to the multi-deviation (i.e. part deviations and fixture deviations) and multi-interaction (i.e. part-to-part interaction, part-to-fixture interaction and station-to-station interaction) in assembly processes, it is difficult for designers to describe or understand the variation propagation (or accumulation) mechanism clearly. The purpose of this paper is to propose a variation propagation modeling and analysis (VPMA) method based on multiple constraints aiming at a single station. Design/methodology/approach Initially, part-to-part constraints (PPCs) and part-to-fixture constraints (PFCs) are applied for the multi-interaction of assembly, and multiple constraints graph (MCG) model is proposed for expressing PPCs, PFCs, parts, as well as the variation propagation relation among them. Then, locating points (LPs) are adopted for representing the deviations in constraints, and formulas for calculating the deviations of LPs are derived. On that basis, a linearized relation between LPs’ deviations and part’s locating deviations is derived. Finally, a wing box is presented to validate the proposed method, and the results indicate the methodology’s feasibility. Findings MCG is an effective tool for dimensional VPMA, which is shown as an example of this paper. Originality/value Functions of geometric constraints in dimensional variation propagation are revealed, and MCG is proposed to formulize dimensional variation propagation.

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Arcones, Miguel A. "Large deviations for U-statistics." Journal of Multivariate Analysis 42, no. 2 (August 1992): 299–301. http://dx.doi.org/10.1016/0047-259x(92)90049-l.

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Kelley, David R., and J. Glenn Steinbacher. "An Analysis of Pilot Deviations in Runway Incidents." Air Traffic Control Quarterly 1, no. 2 (April 1993): 197–221. http://dx.doi.org/10.2514/atcq.1.2.197.

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