Journal articles: 'Criterion of characteristic functions'

1

Gneiting, Tilmann. "Kuttner’s problem and a Pólya type criterion for characteristic functions." Proceedings of the American Mathematical Society 128, no. 6 (October 27, 1999): 1721–28. http://dx.doi.org/10.1090/s0002-9939-99-05200-4.

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Trigub, R. M. "A Criterion for a Characteristic Function and a Polyá-Type Criterion for Radial Functions of Several Variables." Theory of Probability & Its Applications 34, no. 4 (January 1990): 738–42. http://dx.doi.org/10.1137/1134097.

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Aubertin, Michel, and Richard Simon. "Un critère de rupture multiaxial pour matériaux fragiles." Canadian Journal of Civil Engineering 25, no. 2 (April 1, 1998): 277–90. http://dx.doi.org/10.1139/l97-092.

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Most brittle materials show little straining at failure and an ultimate strength that depends upon loading geometry. The surface that defines failure in stress space has a characteristic shape that may be defined by an appropriate mathematical criterion. In this paper, the authors present a simple multiaxial criterion formulated from two quadric functions. Under conventional triaxial compression, the MSDP criterion reduces to the Mises-Schleicher criterion at low mean stress and it takes the shape of the conical Nadai-Drucker-Prager criterion at higher mean stress. The MSDP criterion can be expressed from the three principal stresses or from the usual invariantsI1, J2, and J3. It includes four characteristic parameters, each having a particular significance regarding material properties. The validity of the criterion is shown using experimental results taken from the literature on rock, concrete, and grey cast iron.Key words: failure, brittle materials, rock, concrete, cast iron.

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KANG, Sungkook, and Kazuo YOSHIDA. "Criterion Functions and Control Characteristics in Active Vibration Control." Transactions of the Japan Society of Mechanical Engineers Series C 58, no. 552 (1992): 2373–80. http://dx.doi.org/10.1299/kikaic.58.2373.

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WANG, ZAI HUA. "A VERY SIMPLE CRITERION FOR CHARACTERIZING THE CROSSING DIRECTION OF TIME-DELAY SYSTEMS WITH DELAY-DEPENDENT PARAMETERS." International Journal of Bifurcation and Chaos 22, no. 03 (March 2012): 1250048. http://dx.doi.org/10.1142/s0218127412500484.

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In this paper, a very simple criterion has been established for checking the crossing direction of a characteristic root crossing the imaginary axis for a class of time-delay systems with delay-dependent parameters, an important topic both in stability analysis and Hopf bifurcation. The criterion uses two easy-to-obtain functions with clear physical meaning from the critical stability condition and it generalizes a popular result in the literature.

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Sokolov, A. V., and O. N. Zhdanov. "STRICT AVALANCHE CRITERION OF FOUR-VALUED FUNCTIONS AS THE QUALITY CHARACTERISTIC OF CRYPTOGRAPHIC ALGORITHMS STRENGTH." Siberian Journal of Science and Technology 20, no. 2 (2019): 183–90. http://dx.doi.org/10.31772/2587-6066-2019-20-2-183-190.

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Thillaigovindan, N., S. Anita Shanthi, and J. Vadivel Naidu. "New Method for Solving a General Multiple Criteria Decision-Making Problem Under Risk in Fuzzy Environment." International Journal of Information Technology & Decision Making 15, no. 05 (September 2016): 1157–79. http://dx.doi.org/10.1142/s0219622016500279.

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This paper considers a multiple criteria decision-making (MCDM) problem under risk in fuzzy environment in its general form. There are m alternatives which need to be ranked on the basis of a set of n criteria. The alternatives and the criteria are evaluated based on a set of l characteristics. The entire data is presented in the form of interval valued intuitionistic fuzzy soft set of root type. In addition each criterion is assigned a subjective criterion weight based on expert’s evaluation and each characteristic is assigned a probability weight on the basis of decision maker’s knowlege and understanding of the importance of the characteristic. This problem may be called as a MCDM problem under risk in fuzzy environment in its general form. A method for ranking the alternatives using the new score functions, prospect theory and method of determining the optimum criteria weights is explained. An algorithm is developed for this purpose and its working illustrated with a suitable example.

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Vasilyev, Gleb S., Oleg R. Kuzichkin, Dmitriy I. Surzhik, and Igor A. Kurilov. "Algorithms for analysis of stability and dynamic characteristics of signal generators at the physical level in FANET networks." MATEC Web of Conferences 309 (2020): 03019. http://dx.doi.org/10.1051/matecconf/202030903019.

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To ensure the reliability of the physical level of Flying Ad Hoc Networks (FANET), the article substantiates the relevance of the study of stability and dynamic processes of signal formation and processing paths in the terminal and intermediate network equipment. The limitations of the known methods of the theory of automatic control, which make it difficult to perform the analysis of essentially nonlinear high-order signal generators, are shown. To analyze the stability of such formations proposed algorithm based on the use of the Nyquist criterion and approximation of the characteristic polynomial of a device by continuous piecewise functions; to analyze the dynamic characteristics of the algorithm based on spectral method of the input signal approximation and the frequency characteristics of a device by continuous piecewise functions.

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Sung, Soo Hak, Seongtaek Chee, and Choonsik Park. "Global avalanche characteristics and propagation criterion of balanced Boolean functions." Information Processing Letters 69, no. 1 (January 1999): 21–24. http://dx.doi.org/10.1016/s0020-0190(98)00184-7.

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Kang, Sungkook, and Kazuo Yoshida. "Criterion Functions and Their Control Characteristics for Active Vibration Control." JSME international journal. Ser. C, Dynamics, control, robotics, design and manufacturing 37, no. 3 (1994): 456–61. http://dx.doi.org/10.1299/jsmec1993.37.456.

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Kim, Seonghoon, and Michael J. Kolen. "Effects on Scale Linking of Different Definitions of Criterion Functions for the IRT Characteristic Curve Methods." Journal of Educational and Behavioral Statistics 32, no. 4 (December 2007): 371–97. http://dx.doi.org/10.3102/1076998607302632.

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Thompson, Michael. "The Characteristic Function, a Method-Specific Alternative to the Horwitz Function." Journal of AOAC INTERNATIONAL 95, no. 6 (November 1, 2012): 1803–6. http://dx.doi.org/10.5740/jaoacint.12-042.

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Abstract The Horwitz function is compared with the characteristic function as a descriptor of the precision of individual analytical methods. The Horwitz function describes the trend of reproducibility SDs observed in collaborative trials in the food sector over a wide range of concentrations of the analyte. However, it is imperfectly adaptable for describing the precision of individual methods, which is the role of the characteristic function. An essential difference between the two functions is that the characteristic function can accommodate a detection limit. This makes it a useful alternative when the precision of a method down to a detection limit is of interest. Many characteristic functions have a simple mathematical form, the parameters of which can be estimated with the usual resources. The Horwitz function serves an additional role as a fitness-for-purpose criterion in the form of the Horwitz ratio (HorRat). This use also has some shortcomings. The functional form of the characteristic function (with suitable prescribed parameters) is better adapted to this task.

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Gvazava, J. "Nonlocal and Initial Problems for Quasilinear, Nonstrictly Hyperbolic Equations with General Solutions Represented by Superposition of Arbitrary Functions." gmj 10, no. 4 (December 2003): 687–707. http://dx.doi.org/10.1515/gmj.2003.687.

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Abstract We have selected a class of hyperbolic quasilinear equations of second order, admitting parabolic degeneracy by the following criterion: they have a general solution represented by superposition of two arbitrary functions. For equations of this class we consider the initial Cauchy problem and nonlocal characteristic problems for which sufficient conditions are established for the solution solvability and uniquness; the domains of solution definition are described.

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Provorova, Ye. "IMPROVEMENT OF METHODICAL COMPETENCE OF MUSIC TEACHERS IN COMPREHENSIVE SECONDARY EDUCATION INSTITUTIONS." Pedagogical education: theory and practice. Psychology. Pedagogy, no. 34 (2020): 14–20. http://dx.doi.org/10.28925/2311-2409.2020.34.2.

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The article is devoted to the problem of improvement of methodological competence of music teachers in general secondary educational institutions through a well-thought-out system of school methodical work. The definition ofsuchconceptsas“professionalcompetenceofamusicteacher” and“methodicalcompetenceofamusicteacher” is proposed. Under the professional competence of a music teacher we understand the holistic characteristics of the personality of the specialist with the already-formed set of competencies that allow him to perform his professional functions effectively, to update and enrich his knowledge constantly, to develop new skills according to the level of science and technology, to be ready for social changes, to enjoy his professional activities. In its turn, the methodical competence of the teacher-musician is interpreted as an integral characteristic of personality, which determines the ability to solve professional problems in situations of real practical musical-educational activities, corresponds to the main types of methodical activities of music teachers and is a set of components such as orientational (professional orientation), cognitive (methodical knowledge), operational-active (methodical skills), personal (professionally significant personal qualities) and social-behavioral (experience). The functions of methodical work in the institution of general secondary education (planning, organizational, diagnostic, prognostic, modeling, corrective functions) and criteria of optimality of results of teacher’s methodical work (criterion of efficiency, criterion of rational spending time and economy, satisfaction of the teacher with the work, criterion of effective methodical work) are studied out. The characteristics of traditional and innovative methods, forms and technologies of improving the methodological competence of music teachers in general secondary education are given, which include concilium, round table, methodical ring, auction of pedagogical ideas, business game, week of pedagogical sciences, pedagogical workshop, master classes , pedagogical mosaic, creative laboratory, discussion-aquarium, debates, information and communication technologies, etc.

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Shen, Li Juan, Yu Zhao, and Jun Yang. "Mean Square Error Criteria to Multiple Quality Characteristics Robust Design by the Weighted Tchebycheff Method." Advanced Materials Research 118-120 (June 2010): 881–85. http://dx.doi.org/10.4028/www.scientific.net/amr.118-120.881.

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Robust design has been widely applied in quality improvement. For most products, quality is multidimensional. Little attention has been paid to multiple quality characteristics robust design (MQCRD). MQCRD mainly faces two problems: measurement model and multiple objectives optimization. In order to give an appropriate measurement criterion and generate better Pareto solutions, a MQCRD model by the Weighted Tchebycheff method based on the mean square error (MSE) criterion is proposed. Firstly the MSE estimations for each quality characteristic are obtained by response surface method (RSM) and a MQCRD model based on the MSE criteria is given. Then a MQCRD model by the Weighted Tchebycheff method is present, which minimizes the distance between objective functions and the idea point based on the weighted infinite norm. The proposed approach could find very efficient Pareto solutions. Illustrative example shows the model can generate more efficient and robust solutions than the weighted-sum approach. Furthermore it has better results than the generalized reduced gradient (GRG) and quadratic loss function approach.

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Zhang, Hai Bo, and Qun Yi Liu. "The Anisotropy Characteristic of Rock Material Described by the Stress Softening Criterion in Civil Engineering." Advanced Materials Research 568 (September 2012): 226–29. http://dx.doi.org/10.4028/www.scientific.net/amr.568.226.

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In this paper, firstly we utilize the elastic model, which provides the simplest representation of material behavior in civil engineering. This model is valid for homogeneous, isotropic, continuous materials that exhibit linear stress-strain behavior with no hysteresis on unloading. The elastic models include both isotropic and anisotropic elastic models. Then the Mohr-Coulomb model is used which can represent shear failure in soils and rocks in civil engineering and geotechnical engineering. After that, the strain- softening model is founded, which allows representation of nonlinear material softening and hardening behavior based on prescribed variations of the Mohr-Coulomb model properties (cohesion, friction, dilation, tensile strength) as functions of the deviatoric plastic strain. Finally, a case study is done for the stratified rock mass, the elastic modulus of the rock sample for different surrounding compressive are obtained, to exhibit the anisotropy characteristic of this type of rock material

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Wang, Ziyun, Dinghui Wu, Yan Wang, and Zhicheng Ji. "Stochastic gradient identification algorithm for nonlinear system modeling in wind power curtailment prediction." Modern Physics Letters B 31, no. 19-21 (July 27, 2017): 1740057. http://dx.doi.org/10.1142/s0217984917400577.

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This paper considered the parameter identification problem of Hammerstein finite impulse response models and a novel stochastic gradient identification algorithm is derived for the Hammerstein system modeling. By using the gradient search principle and minimizing the quadratic criterion functions, the presented stochastic gradient identification algorithm has a better computational efficiency. The given simulation validates that the proposed algorithm can identify the wind power characteristic curve accurately and contributes to calculate the wind power curtailment prediction.

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Ignatov, Andrei, and Andrei Gorchakov. "Tool for Simulating Branch and Bound Computations." Open Computer Science 10, no. 1 (May 13, 2020): 112–16. http://dx.doi.org/10.1515/comp-2020-0115.

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AbstractThe paper describes a simulator of parallel Branch and Bound (BnB) method. Several subdomain trees for benchmark functions are analyzed, a characteristic Gaussian-like distribution is discovered. An algorithm of artificial tree generation is formulated according to this criterion. The process of simulator modeling is described, several computational experiments are conducted. Their results show a hyperbolic decrease trend for modeled time as the number of computational units grows, which is concluded to be similar to real systems.

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Li, Enying, Fan Ye, and Hu Wang. "Alternative Kriging-HDMR optimization method with expected improvement sampling strategy." Engineering Computations 34, no. 6 (August 7, 2017): 1807–28. http://dx.doi.org/10.1108/ec-06-2016-0208.

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Purpose The purpose of study is to overcome the error estimation of standard deviation derived from Expected improvement (EI) criterion. Compared with other popular methods, a quantitative model assessment and analysis tool, termed high-dimensional model representation (HDMR), is suggested to be integrated with an EI-assisted sampling strategy. Design/methodology/approach To predict standard deviation directly, Kriging is imported. Furthermore, to compensate for the underestimation of error in the Kriging predictor, a Pareto frontier (PF)-EI (PFEI) criterion is also suggested. Compared with other surrogate-assisted optimization methods, the distinctive characteristic of HDMR is to disclose the correlations among component functions. If only low correlation terms are considered, the number of function evaluations for HDMR grows only polynomially with the number of input variables and correlative terms. Findings To validate the suggested method, various nonlinear and high-dimensional mathematical functions are tested. The results show the suggested method is potential for solving complicated real engineering problems. Originality/value In this study, the authors hope to integrate superiorities of PFEI and HDMR to improve optimization performance.

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Górecki, Henryk, and Mieczysław Zaczyk. "Analytic results for oscillatory systems with extremal dynamic properties." International Journal of Applied Mathematics and Computer Science 24, no. 4 (December 1, 2014): 771–84. http://dx.doi.org/10.2478/amcs-2014-0057.

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Abstract The maximal value of the error is the most important criterion in system design. It is also the most difficult one. For that reason there exist many other criteria. The extreme value of the error represents the attainable accuracy which can be obtained and the corresponding extreme time gives information about how fast the transients are. The extreme values of the error and the corresponding time are treated here as functions of the roots of the characteristic equation. The proposed analytical formulae allow designing systems with prescribed dynamic properties.

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Demyanovich, Yu K. "On Adaptive Haar Approximations of Random Flows." International Journal of Circuits, Systems and Signal Processing 15 (February 11, 2021): 72–79. http://dx.doi.org/10.46300/9106.2021.15.9.

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The adaptive approximations for some characteristic of random functions defined on arbitrary irregular grids are discussed in this paper. The mentioned functions can be examined as flows of random real values associated with an irregular grid. This paper considers the question of choosing an adaptive enlargement of the initial grid. The mentioned enlargement essentially depends on the formulation of the criterion in relation to which adaptability is considered. Several criteria are considered here, among which there are several criteria applicable to the processing of random flows. In particular, the criteria corresponding to the mathematical expectation, dispersion, as well as autocorrelation and cross-correlation of two random flows are considered. It is possible to consider criteria corresponding to various combinations of the mentioned characteristics. The number of knots of the initial (generally speaking, irregular) grid can be arbitrary, and the main grid can be any subset of the initial one. Decomposition algorithms are proposed, taking into account the nature of the changes in the initial flow. The number of arithmetic operations in the proposed algorithms is proportional to the length of the initial flow. Sequential processing of the initial flow is possible in real time.

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Núñez, P., R. Vázquez-Martín, A. Bandera, and F. Sandoval. "Fast laser scan matching approach based on adaptive curvature estimation for mobile robots." Robotica 27, no. 3 (May 2009): 469–79. http://dx.doi.org/10.1017/s0263574708004840.

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SUMMARYThis paper describes a complete laser-based approach for tracking the pose of a robot in a dynamic environment. The main novelty of this approach is that the matching between consecutively acquired scans is achieved using their associated curvature-based representations. The proposed scan matching algorithm consists of three stages. Firstly, the whole raw laser data is segmented into groups of consecutive range readings using a distance-based criterion and the curvature function for each group is computed. Then, this set of curvature functions is matched to the set of curvature functions associated to the previously acquired laser scan. Finally, characteristic points of pairwise curvature functions are matched and used to correctly obtain the best local alignment between consecutive scans. A closed form solution is employed for computing the optimal transformation and minimizing the robot pose shift error without iterations. Thus, the system is outstanding in terms of accuracy and computation time. The implemented algorithm is evaluated and compared to three state of the art scan matching approaches.

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Cui, Han Jing, Chuan Zheng Zhu, and Lei Wang. "Performance Assessment Model for Highway Electromechanical System." Advanced Materials Research 706-708 (June 2013): 892–96. http://dx.doi.org/10.4028/www.scientific.net/amr.706-708.892.

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Based on the research of the law of performance of electrical and mechanical equipments, the characteristics of highway electromechanical system is studied. According to current quality inspection and evaluation standards, the hierarchy criteria system is deduced, and the importance degree of each criterion is calculated according to the responses on the question form by Delphi method. By membership functions, each criterion is given the weight which is normalized as the importance degree for the hierarchy level. Then, the fuzzy comprehensive assessment model is established with judgment matrix.

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Xiao, Dongming, Jiakai Ding, Xuejun Li, and Liangpei Huang. "Gear Fault Diagnosis Based on Kurtosis Criterion VMD and SOM Neural Network." Applied Sciences 9, no. 24 (December 11, 2019): 5424. http://dx.doi.org/10.3390/app9245424.

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A gear fault diagnosis method based on kurtosis criterion variational mode decomposition (VMD) and self-organizing map (SOM) neural network is proposed. Firstly, the VMD algorithm is used to decompose the gear vibration signal, and the instantaneous frequency mean is calculated as the evaluation index, and the characteristic curve is drawn to screen out the most relevant intrinsic mode functions (IMFs) of the original vibration signal. Then, the number of VMD decompositions is determined, and the kurtosis value of IMFs are extracted to form the feature vectors. Then, the kurtosis value feature vectors of IMFs are normalized to form the kurtosis value normalized vectors. Finally, the normalized vectors of kurtosis value are input into SOM neural network to realize gear fault diagnosis. When the number of training times of SOM neural network is 100, the gear fault category is accurately classified by SOM neural network. The results show that when the training times of SOM neural network is 100 times, the gear fault diagnosis method, based on the kurtosis criterion VMD and SOM neural network is 100%, which indicates that the new method has a good effect on gear fault diagnosis.

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Popescu, Florin Dumitru, Andrei Andraş, and Ildiko Kertesz (Brînaş). "Balance survey / analysis of vertical transport installations using the Nyquist stability criterion." ITM Web of Conferences 29 (2019): 01013. http://dx.doi.org/10.1051/itmconf/20192901013.

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Operation of vertical transport installations is based on adjustable electrical drive systems which must ensure the technical conditions regarding the variation in time of the speed, the current of the main motors and the accelerations at start and brake phases. Electric drives are part of the fast process of automation equipment. In the case of a vertical transport installation, speed is the characteristic which has to be controlled in command phase, while the dependent factor is the tachograph. The adjustment determines the dependence of the quantity in the process – based on a default law - with respect to the independent quantities and also to the process dependents, thus reducing the influence of the perturbations to the process. There are different ways to define the stability of an automatic system. The balance survey / analysis also approaches the determination of the functions of variation in time of the main actuation motor current and speed (main motor rpm), at the moments of starting the vertical transport installation, and the study of the variation in time of the speed in the case of a load shock. To perform calculations needed for stability assessment and draw all the diagrams a Turbo C 2.0 program was written by the authors.

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Lee, J. H., and J. Oung. "Yield Functions and Flow Rules for Porous Pressure-Dependent Strain-Hardening Polymeric Materials." Journal of Applied Mechanics 67, no. 2 (June 22, 1999): 288–97. http://dx.doi.org/10.1115/1.1305278.

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To characterize the response of progressively damaged glassy polymers due to the presence and evolution of voids, yield functions and flow rules were developed systematically for a pressure-dependent matrix following the modified von Mises criterion. A rigid-perfectly plastic material was first assumed. The upper bound method was used with a velocity field which has volume preserving and shape changing portions. Macroscopic yield criterion in analytical closed form was first obtained for spherical voids which is valid for all possible macroscopic strain rate fields. Macroscopic yield criteria in analytical closed form were then obtained for cylindrical voids for the special cases of axisymmetric and plane-strain modes of deformation. The upper-bound solutions were subsequently improved to better match analytical solutions for pure hydrostatic loading. Characteristics of the yield function as a function of pressure dependency and void fraction were studied in detail. Generalization of the model for spherical voids to include elasticity as well as strain hardening of the matrix was then obtained. An example for the uniaxial response of a progressively damaged material was then used to illustrate one possible application of the full set of constitutive equations. [S0021-8936(00)02902-0]

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Khokhlov, A. V. "GENERAL PROPERTIES OF THE CREEP CURVES FOR VOLUMETRIC, AXIAL AND LATERAL STRAIN GENERATED BY THE RABOTNOV NON-LINEAR VISCOELASTICITY RELATION UNDER UNI-AXIAL LOADINGS." Problems of strenght and plasticity 81, no. 2 (2019): 146–64. http://dx.doi.org/10.32326/1814-9146-2019-81-2-146-164.

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The Rabotnov physically non-linear (quasi-linear) constitutive equation for non-aging elasto-viscoplastic materials with four material functions is studied analytically in order to outline the set of basic rheological phenomena which it can simulate, to clarify the material functions governing abilities, to indicate application field of the relation and to develop identification and verification techniques. General properties of the theoretic creep curves for volumetric, longitudinal and lateral strain generated by the model under uni-axial loading are investigated assuming material functions of the relation are arbitrary. Intervals of creep curves monotonicity and conditions for existence of extrema and sign changes are considered and the influence of minimal qualitative restrictions imposed on its material functions is analyzed. It is proved that the Rabotnov relation is able to simulate non-monotone behavior and sign changes of lateral strain and Poisson's ratio (lateral contraction ratio in creep). The expressions for Poisson's ratio via the strain state parameter (equal to volumetric strain divided by deviatoric strain) and via four material functions of the model are derived. The Poisso'n ratio dependence on time, stress level and material functions is examined. Assuming material functions are arbitrary, general two-sided bound for the Poisson's ratio range is obtained. Additional restrictions on material functions providing negative Poisson's ratio values are found and the criterion for its non-dependence on time is formulated. Taking into account volumetric creep (governed by two material functions of the model) is proved to affect strongly the qualitative behavior and characteristic features of longitudinal creep curves and the Poisso'n ratio evolution.

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Huang, Kewang, Tao Ma, and Feng Pan. "H∞ Control for LPV Discrete Systems with Random Time-Varying Network Delay." Mathematical Problems in Engineering 2018 (October 29, 2018): 1–9. http://dx.doi.org/10.1155/2018/9095014.

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In this paper, we study the H∞ control problem for Linear Parameter Varying (LPV) discrete systems with random time-varying network delay. The state matrices of LPV discrete systems are deterministic functions and changed with parameters; the range of parameters is measurable. Considering the characteristics of networks with random time-varying delay, we proposed a new parameter-dependent H∞ performance criterion based on the Lyapunov stability theory. The coupling between Lyapunov functions and system matrices could be eliminated by introducing an additional matrix in this criterion, which made it easier for numerical implementation. On this basis, we designed a state feedback controller by virtue of linear matrix inequalities, which transformed the sufficient conditions into existence condition of solution of parametric linear matrix inequalities. The designed controller could keep the closed-loop system asymptotically stable under given time delay and probability and meet predefined performance metric. The validity of the proposed method is verified by numerical simulation.

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Tomić, Marija, Kosta Jovanović, Christine Chevallereau, Veljko Potkonjak, and Aleksandar Rodić. "Toward optimal mapping of human dual-arm motion to humanoid motion for tasks involving contact with the environment." International Journal of Advanced Robotic Systems 15, no. 1 (January 1, 2018): 172988141875737. http://dx.doi.org/10.1177/1729881418757377.

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In this article, we explore human motion skills in the dual-arm manipulation tasks that include contact with equipment with the final aim to generate human-like humanoid motion. Human motion is analyzed using the optimization approaches starting with the assumption that human motion is optimal. A combination of commonly used optimization criteria in the joint space with the weight coefficients is considered: minimization of kinetic energy, minimization of joint velocities, minimization of the distance between the current and ergonomic positions, and maximization of manipulability. The contribution of each criterion for seven different dual-arm manipulation tasks to provide the most accurate imitation of the human motion is given via suggested inverse optimization approach calculating values of weight coefficients. The effects on actors’ body characteristics and the characteristics of the environment (involved equipment) on the choice of criterion functions are additionally analyzed. The optimal combination of weight coefficients calculated by the inverse optimization approach is used in our inverse kinematics algorithm to transfer human motion skills to the motion of the humanoid robots. The results show that the optimal combination of weight coefficients is able to generate human-like humanoid motions rather than individual one of the considered criterion functions. The recorded human motion and the motion of the humanoid robot ROMEO, obtained with the strategy used by human and defined by our inverse optimal control approach, for the tasks “opening/closing a drawer” are assessed visually and quantitatively.

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Zubkov, B. V., and A. K. Volkov. "ASSESSMENT OF AVIATION SECURITY SCREENERS PROFFICIENCY BY MEANS OF APPLYING THE A. BIRNBAUM TWO-PARAMETER MODEL." Civil Aviation High TECHNOLOGIES 21, no. 3 (July 3, 2018): 56–66. http://dx.doi.org/10.26467/2079-0619-2018-21-3-56-66.

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The necessity to improve assessment of aviation security screeners’ competence has been analyzed. Computer based training systems have been widely used in the process of screeners’ training and evaluating the results of training. The main advantage of similar systems application is the possibility of adaptation to the individual screeners’ requirements by changing the level of training task complexity. The efficiency of applying these systems is proved by foreign researches. To assess the results of screeners’ activity the dangerous image projection data is also used. The analysis of modern approaches to assess the screeners’ activity efficiency showed that they do not completely take into account x-ray image complexity factors affecting the results of screeners’ activity monitoring. There have been presented and tested A. Birnbaum two-parameter model, which is used to assess the screeners’ proficiency competence by means of testing. According to International Civil Aviation Organization recommendations the x-ray image data base has been formed; it includes four blocks of prohibited items. Within the suggested model the probability of detecting prohibited items by aviation security screeners is considered as functions of such parameters as the difference between level of qualification and level of x-ray images complexity, and also between the aviation security screeners’ structure of their professional knowledge. The solution of the task to search A. Birnbaum model parameters values by using maximum likelihood method have been offered. Within the model the qualification level characteristic functions, which describe multi-complexity level of x-ray image interpretation competency of the aviation security screener, were generated and explored. Complex criterion to assess the level of the aviation security screener qualification is offered and tested. The suggested criterion allows to evaluate aviation security screeners’ competency taking into account not only the average level of qualification, but its possible variance. The suggested criterion may be used while selecting and certificating the screeners when the requirement to detect at least 95% prohibited items is applied.

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Chen, Dun, Dayan Wang, Wei Ma, Lele Lei, and Guoyu Li. "A strength criterion for frozen clay considering the influence of stress Lode angle." Canadian Geotechnical Journal 56, no. 11 (November 2019): 1557–72. http://dx.doi.org/10.1139/cgj-2018-0054.

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To investigate the influence of stress Lode angle on frozen soil, a series of directional shear tests was conducted on artificial frozen clay at three temperatures (–6, –10, and –15 °C) and five stress Lode angles (θσ = –30°, –16.1°, 0°, 16.1°, and 30°) using a hollow cylindrical apparatus. An elliptical function was proposed according to the strength envelope evaluation with the mean principal stress (p) in the p–q plane. In addition, generalized nonlinear strength theory (GNST) was introduced in the π plane to describe the evolution of the strength envelope with increasing mean principal stress. Then a strength criterion for frozen clay in three-dimensional principal stress space was proposed by combining strength functions in the p–q and π planes. The temperature effect was also introduced into the strength criterion. The proposed strength criterion can predict the multi-axial strength characteristics of frozen clay and reveal the influence of the stress Lode angle.

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Tiwari, Prashant, and SH Upadhyay. "Elucidation of ball bearing performance utilizing product functions of vibration signals and locality sensitive discriminant analysis." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 234, no. 1 (August 27, 2019): 50–66. http://dx.doi.org/10.1177/1464419319871816.

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Dimensionality is a decent term utilized for the dimension-related issues of feature vectors for the condition assessment of bearings. It has been a challenging task while dealing with the characteristic information conservation of the sampled data. Feature vectors with higher dimensions provide an accurate description of the condition, while lower dimension vectors are easy to be classified. These conditions make the dimensionality of feature space a big challenge in the performance evaluation of critical machine parts like bearings. This paper presents a judicious and wise application of a linear approach, locality sensitive discriminant analysis along with the rational use of local mean decomposition in performance degradation assessment. The combination effectively solves the problems of insufficient training samples and large dimensionality of fault features, which imparts excessive noise and causes loss of competent hidden characteristics. In such cases, local structures of feature space are more crucial than the global one. These obstacles can be answered by imparting locality sensitive discriminant analysis as an initial operation. Locality sensitive discriminant analysis is a linear dimensionality reduction tool, which explores the precise projections that amplify the margin between data points and prepare a conservation aid to preserve faulty information of bearings. The steps are followed to achieve the same: decomposition of vibration signal into product functions; calculation of fault features; third, higher dimensionality of the features is reduced with the implementation of locality sensitive discriminant analysis and some prime features are selected with the proposed criterion; the reduced features are further clustered and a trained model of assessment is prepared. Finally, health indicator is calculated from the trained model and test features. The proposed technique is verified on two bearing datasets. The superiority of the technique has been envisaged by comparing the method with different similar assessment methods i.e. time domain features, linear discriminant analysis, and principal component analysis.

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Borbatc, N. M., and T. V. Shkolina. "CHECKING THE QUALITY CHARACTERISTIC DISTRIBUTION FORM BY NON-PARAMETRIC CRITERIA AGREEMENT IN MATLAB." Spravochnik. Inzhenernyi zhurnal, no. 280 (July 2020): 1–19. http://dx.doi.org/10.14489/hb.supp.2020.07.pp.001-019.

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To check the agreement of the empirical distribution with the theoretical one, especially with a relatively small sample size, the socalled nonparametric criteria of agreement are often applied. The rules for the correct application of nonparametric criteria for consent, especially when the parameters of the proposed distribution are not known and are estimated from sample data, are given in recommendations R 50.1.037–2002. In order to facilitate the practical application of the provisions of these recommendations, the authors developed a procedure in MATLAB, full the listing of which is given in the appendix. As a result of applying the procedure, the values of the statistics of the criteria, the corresponding values of the attainable level of significance, as well as the graphs of the empirical and theoretical distribution functions that allow visually assessing the degree of discrepancy between them are displayed. For a number of theoretical distributions, it is possible to use the corresponding MATLAB builtin functions.

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Borbatc, N. M., and T. V. Shkolina. "CHECKING THE QUALITY CHARACTERISTIC DISTRIBUTION FORM BY NON-PARAMETRIC CRITERIA AGREEMENT IN MATLAB." Spravochnik. Inzhenernyi zhurnal, no. 280 (July 2020): 1–19. http://dx.doi.org/10.14489/hb.supp.2020.07.pp.001-019.

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To check the agreement of the empirical distribution with the theoretical one, especially with a relatively small sample size, the socalled nonparametric criteria of agreement are often applied. The rules for the correct application of nonparametric criteria for consent, especially when the parameters of the proposed distribution are not known and are estimated from sample data, are given in recommendations R 50.1.037–2002. In order to facilitate the practical application of the provisions of these recommendations, the authors developed a procedure in MATLAB, full the listing of which is given in the appendix. As a result of applying the procedure, the values of the statistics of the criteria, the corresponding values of the attainable level of significance, as well as the graphs of the empirical and theoretical distribution functions that allow visually assessing the degree of discrepancy between them are displayed. For a number of theoretical distributions, it is possible to use the corresponding MATLAB builtin functions.

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JIA, RONG-QING. "UNCONDITIONAL CONVERGENCE AND UNCONDITIONAL BASES IN HARDY SPACES." Analysis and Applications 11, no. 04 (June 18, 2013): 1350016. http://dx.doi.org/10.1142/s0219530513500164.

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This paper is devoted to a study of unconditional convergence of series in the Hardy space H1(ℝs) and unconditional bases for H1(ℝs). First, we use quasi-projection operators from approximation theory to give a very general criterion for unconditional convergence in H1. Second, we prove that a system of wavelets forms an unconditional basis of the Hardy space H1, provided the dual wavelet lies in a Lipschitz space of positive order. In particular, for H1(ℝ) we construct an unconditional basis consisting of piecewise constant functions. Third, we demonstrate that our conditions for unconditional bases are sharp by showing that, if the dual refinable function is the characteristic function of the interval [0, 1), then the corresponding system of wavelets does not form an unconditional basis for H1(ℝ), even though the wavelet itself could have arbitrarily high smoothness.

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Hopkins, Burt C. "Numerical Identity and the Constitution of Transcendence in Transcendental Phenomenology." Research in Phenomenology 46, no. 2 (May 28, 2016): 205–20. http://dx.doi.org/10.1163/15691640-12341336.

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I investigate the phenomenological significance of Husserl’s appeal to the “numerical identity” of irreality as it appears in recollected manifolds of lived-experience in his mature account of the transcendental constitution of transcendence and find it wanting. I show that what is at stake for Husserl in this appeal is the descriptive mark that exhibits the distinction between a unit of meaning as it is constituted in psychologically determined lived-experience and as it is constituted in lived-experience that is determined transcendentally. In other words, I show that numerical identity functions for Husserl as the criterion that signals transcendental psychologism has been overcome. I then present the argument that it has not been overcome in Husserl’s investigations, because the collective unity characteristic of numerical unity is presupposed by those investigations rather than made evidentially manifest and articulated.

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García-Alvarado, M. A., I. I. Ruiz-López, and T. Torres-Ramos. "Tuning of multivariate PID controllers based on characteristic matrix eigenvalues, Lyapunov functions and robustness criteria." Chemical Engineering Science 60, no. 4 (February 2005): 897–905. http://dx.doi.org/10.1016/j.ces.2004.09.047.

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Leleń, Paweł, and Mariusz Wasiak. "The model of selecting multimodal technologies for the transport of perishable products." Archives of Transport 50, no. 2 (June 30, 2019): 17–33. http://dx.doi.org/10.5604/01.3001.0013.5573.

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The main goal of this paper is to provide an original model of selecting multimodal technologies for the transport of perishable goods. The model in particular refers to the transportability of cargoes. The features of cargoes that have the most impact on transportability were specified. Formal representations of the key elements of the model were presented and characterized, including: perishable cargoes, form of transported goods (solid, liquid, etc.), means of handling (including loading devices and transport means), transport routes, categories of human labor, multimodal technologies and transportation tasks. A formal representation of decision variables, as well as constrains and a criterion function were provided. The model bases on two main solution assessment criteria: cost criterion and cargo safety criterion. A cargo safety criterion in the model is composed of 18 partial criterion functions. Each of these functions directly affects one safety aspect of the transported cargo. The exemplary partial criteria of cargo safety included in the model are: acceptable transport time, minimum or maximum temperature in the cargo’s direct surroundings, resistance to mechanical damage. In order to present a practical application of the presented mathematical model the paper shows also an example of selecting one of the multimodal technologies for the transport of perishable goods from the set of pre-defined types of multimodal transport technologies. The developed method uses different elements of the mathematical model provided in the paper, depending on the considered problem (including characteristics of cargo and their transport forms). For a significant group of perishable cargoes, it is not required to consider all defined criteria associated with cargo safety. The developed model allows for the accurate selection of transport technology for perishable cargoes for most transportation tasks. It should help to increase the efficiency of selection of multimodal transport technology for perishable products. The selected technology will then be characterized by the lowest transport cost and will ensure the safety of transported cargoes, as well as will meet other requirements determined by the transport task. As part of further work, it is possible to develop proposed method by considering additional characteristics of perishable cargoes.

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Butlin, T., and J. Woodhouse. "Studies of the Sensitivity of Brake Squeal." Applied Mechanics and Materials 5-6 (October 2006): 473–80. http://dx.doi.org/10.4028/www.scientific.net/amm.5-6.473.

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The problem of ‘brake squeal’ in the automotive industry remains despite over 70 years of research: the phenomenon is still surprisingly unpredictable and poorly understood. The literature has moved from very simple lumped parameter models to ever more sophisticated finite element models, but testing theory against measurements has been hindered by the difficulty in obtaining repeatable results. It would seem the phenomenon is extremely sensitive to changes in parameters beyond an experimenter’s control. This paper describes recent results from a project to identify and quantify the sources of uncertainty within sliding contact systems and to determine the sensitivity of the friction-coupled system to uncertain parameters. The theoretical approach taken is to use a linear analysis based on the uncoupled transfer functions of two general subsystems to predict stability when they are coupled by a sliding point contact. The model is tested using a pin-on-disc rig whose uncoupled transfer functions can be measured. Using a stability criterion based on the roots of the characteristic equation of the system, the sensitivity of model predictions to parameter variations is investigated numerically. It is shown that using a realistic range of parameters the root locations change considerably and enough to change stability predictions. As the complexity of the model is increased reliable results become harder to achieve as the characteristic equation becomes more ill-conditioned. This is not simply a result of the high order of the system, but is thought to be a result of particular mode combinations. Experimental work shows uncoupled transfer functions vary over time and by enough to significantly affect squeal predictions. These results suggest reasons for the difficulty in obtaining repeatable measurements and for the unreliability of squeal prediction theories developed so far. If the reasons for the sensitivity of squeal can be understood it may be possible to design sliding contact systems that are more robust.

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Bottari, Carolina, Clément Dassa, Constant Rainville, and Élisabeth Dutil. "The criterion-related validity of theIADL Profilewith measures of executive functions, indices of trauma severity and sociodemographic characteristics." Brain Injury 23, no. 4 (January 2009): 322–35. http://dx.doi.org/10.1080/02699050902788436.

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Wang, Jing Jing, An Qi Wang, Zhi Xiang Huang, and Tie Zhen Jiang. "A Fast Algorithm for Electromagnetic Scattering from One-Dimensional Rough Surface." International Journal of Antennas and Propagation 2019 (April 11, 2019): 1–7. http://dx.doi.org/10.1155/2019/7985421.

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In this paper, the Adaptive Modified Characteristic Basis Function Method (AMCBFM) is proposed for quickly simulating electromagnetic scattering from a one-dimensional perfectly electric conductor (PEC) rough surface. Similar to the traditional characteristic basis function method (CBFM), Foldy-Lax multiple scattering equations are applied in order to construct the characteristic basis functions (CBFs). However, the CBFs of the AMCBFM are different from those of the CBFM. In the AMCBFM, the coefficients of the CBFs are first defined. Then, the coefficients and the CBFs are used to structure the total current, which is used to represent the induced current along the rough surface. Moreover, a current criterion is defined to adaptively halt the order of the CBFs. The validity and efficiency of the AMCBFM are assessed by comparing the numerical results of the AMCBFM with the method of moments (MoM). The AMCBFM can effectively reduce the size of the matrix, and it costs less than half the CPU time used by the MoM. Moreover, by comparing it with the traditional CBFM, the AMCBFM can guarantee the accuracy, reduce the number of iterations, and achieve better convergence performance than the CBFM does. The second order of the CBFs is set in the CBFM. Additionally, the first order of the CBFs of the AMCBFM alone is sufficient for this result.

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Radin, V. P., V. P. Chirkov, A. V. Shchugorev, V. N. Shchugorev, and O. V. Novikova. "Dynamic Stability of Pipelines with Fluid Flow." Proceedings of Higher Educational Institutions. Маchine Building, no. 11 (728) (November 2020): 3–12. http://dx.doi.org/10.18698/0536-1044-2020-11-3-12.

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The classical problem of stability of a pipeline section with fluid flow is considered in this paper. The equation of perturbed motion is solved by a method of expansion by forms of natural oscillations with further application of the Bubnov — Galerkin method. The boundary of the stability domain on the plane of fluid flow parameters is determined using the Raus — Hurwitz criterion for non-conservative stability problems. For fixed values of the relative mass, the trajectories of characteristic indicators are constructed as functions parametrically dependent on the velocity of the fluid flow. The frequency of pipeline oscillations in the event of loss of stability is determined by the flutter type. Flutter modes at various points of the boundary of the stability domain are examined. Flutter modes are represented by a beam of curved axes of the pipeline at discrete points of time throughout one period.

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Ashory, Mohammad-Reza, Ahmad Ghasemi-Ghalebahman, and Mohammad-Javad Kokabi. "Damage detection in laminated composite plates via an optimal wavelet selection criterion." Journal of Reinforced Plastics and Composites 35, no. 24 (September 30, 2016): 1761–75. http://dx.doi.org/10.1177/0731684416667563.

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Delamination is a potential risk of failure considered as one of the failure modes and frequently occurs in composites due to its relatively low inter-laminar fracture toughness. In recent years, the majority of activities in this field have been focused on raising the level of sensitivity of these devising methods for detecting tiny damages. In this article, damage detection method via wavelet transform has been examined, and an appropriate procedure has been proposed to increase sensitivity of this transform for damage detection. Among the inherent impediments of classical wavelet transforms, the generality of these transforms and ignoring the studied signal can be mentioned. Consequently, various wavelet selection algorithms leading to provide appropriate wavelet functions with respect to the characteristics of the signal have been examined. As a novelty in the field, the correlation between wavelet and strain energy signal is considered as a criterion for optimal wavelet selection. In wavelet transforms, in addition to original wavelet functions, the signals used for damage detection are also of high importance. To achieve this goal, the frequency-weighted strain energy ratio signals resulting from intact and damaged forms have been exploited. Also, the edges’ effects were removed through stringing of plane mode shape signals. Moreover, by summing wavelet coefficients in all scale factors plus natural frequencies, the focus can bring to the detection of one or more damages in a laminated composite plate with symmetric layup. Finally, a quantitative measure to compare different wavelets has been presented.

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Wang, Zaihua. "Criteria for minimization of spectral abscissa of time-delay systems." Applied Mathematics and Mechanics 42, no. 7 (June 24, 2021): 969–80. http://dx.doi.org/10.1007/s10483-021-2751-9.

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AbstractSpectral abscissa (SA) is defined as the real part of the rightmost characteristic root(s) of a dynamical system, and it can be regarded as the decaying rate of the system, the smaller the better from the viewpoint of fast stabilization. Based on the Puiseux series expansion of complex-valued functions, this paper shows that the SA can be minimized within a given delay interval at values where the characteristic equation has repeated roots with multiplicity 2 or 3. Four sufficient conditions in terms of the partial derivatives of the characteristic function are established for testing whether the SA is minimized or not, and they can be tested directly and easily.

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Song, Yu Chuan, Ze Wang, and Qi Lei. "A Kind of Integrated Modeling Method for Networked Manufacturing Platform." Key Engineering Materials 439-440 (June 2010): 1012–17. http://dx.doi.org/10.4028/www.scientific.net/kem.439-440.1012.

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Aiming at the characteristics of complicated organization behavior, diversified business process and changeable functions in the construction of networked manufacturing platform, this paper proposed an integrated modeling method for networked manufacturing platform combined with DEMO(Dynamic Essential Modeling of Organization） and NAM (Norm Analysis Method), which making use of the two method’s characteristics sufficiently, to support system modeling with full consideration of organization behavior criterion, function subdivision and business process refinement. This integrated modeling method provides an effective tool to design and develop networked manufacturing platform and achieved good effect in application.

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Smirnov, Aleksandr, Nikolai Ababkov, and Aleksandra Glinka. "The Estimation of Long-Range Internal Stress Fields by Spectral-Acoustic Method." Advanced Materials Research 1013 (October 2014): 121–26. http://dx.doi.org/10.4028/www.scientific.net/amr.1013.121.

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A conceptual model consisting of diagrams, text and terminology dictionary, made in a formalized way and representations of functions, each of which reflects the real state of the long-running metal at all stages of the life cycle. Based on the developed conceptual model, analysis of the results of electron microscopic studies measuring the acoustic characteristics and determination of physical and mechanical properties of the complex criterion limiting state long working metal technical devices hazardous production facilities.

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Anh, N. D. "Dual approach to averaged values of functions: A form for weighting coefficient." Vietnam Journal of Mechanics 37, no. 2 (May 25, 2015): 145–50. http://dx.doi.org/10.15625/0866-7136/37/2/6206.

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Averaged values play major roles in the study of dynamic processes. The use of those values allows transforming varying processes to some constant characteristics that are much easier to be investigated. In order to extend the use of averaged values one may apply the dual approach which suggests a consideration of two different aspects of a problem in question. In this short communication the main idea of the dual conception is further extended to suggest a new form for weighting coefficient and then a new averaged value of functions. This new averaged value depends on the parameter \(s\) and contains the classical averaged value when \(s=0\). In the example of Duffing oscillator it is shown that the parameter \(s\) can be chosen as \(s=n/(2\pi)\) and for \(n=4\) one gets the solution that is much accurate than the conventional one obtained by the classical criterion of equivalent linearization.

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Fryer, Daniel Vidali, Inga Strumke, and Hien Nguyen. "Model independent feature attributions: Shapley values that uncover non-linear dependencies." PeerJ Computer Science 7 (June 2, 2021): e582. http://dx.doi.org/10.7717/peerj-cs.582.

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Shapley values have become increasingly popular in the machine learning literature, thanks to their attractive axiomatisation, flexibility, and uniqueness in satisfying certain notions of ‘fairness’. The flexibility arises from the myriad potential forms of the Shapley value game formulation. Amongst the consequences of this flexibility is that there are now many types of Shapley values being discussed, with such variety being a source of potential misunderstanding. To the best of our knowledge, all existing game formulations in the machine learning and statistics literature fall into a category, which we name the model-dependent category of game formulations. In this work, we consider an alternative and novel formulation which leads to the first instance of what we call model-independent Shapley values. These Shapley values use a measure of non-linear dependence as the characteristic function. The strength of these Shapley values is in their ability to uncover and attribute non-linear dependencies amongst features. We introduce and demonstrate the use of the energy distance correlations, affine-invariant distance correlation, and Hilbert–Schmidt independence criterion as Shapley value characteristic functions. In particular, we demonstrate their potential value for exploratory data analysis and model diagnostics. We conclude with an interesting expository application to a medical survey data set.

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Wilson, Richard H., Crystal S. Carnell, and Amber L. Cleghorn. "The Words-in-Noise (WIN) Test with Multitalker Babble and Speech-Spectrum Noise Maskers." Journal of the American Academy of Audiology 18, no. 06 (June 2007): 522–29. http://dx.doi.org/10.3766/jaaa.18.6.7.

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The Words-in-Noise (WIN) test uses monosyllabic words in seven signal-to-noise ratios of multitalker babble (MTB) to evaluate the ability of individuals to understand speech in background noise. The purpose of this study was to evaluate the criterion validity of the WIN by comparing recognition performances under MTB and speech-spectrum noise (SSN) using listeners with normal hearing and listeners with hearing loss. The MTB and SSN had identical rms and similar spectra but different amplitude-modulation characteristics. The performances by the listeners with normal hearing, which were 2 dB better in MTB than in SSN, were about 10 dB better than the performances by the listeners with hearing loss, which were about 0.5 dB better in MTB with 56% of the listeners better in MTB and 40% better in SSN. The slopes of the functions for the normal-hearing listeners (8–9%/dB) were steeper than the functions for the listeners with hearing loss (5–6%/dB). The data indicate that the WIN has good criterion validity. La prueba de Palabras en Ruido (WIN) utiliza palabras monosilábicas en siete tasas de señal/ruido de balbuceo de hablantes múltiples (MTB) para evaluar la capacidad de los individuos de entender lenguaje el medio de ruido de fondo. El propósito del estudio fue evaluar el criterio de validez del WIN comparando el desempeño en reconocimiento del lenguaje bajo ruido MTB y con ruido en el espectro del lenguaje (SSN), utilizando sujetos con audición normal y sujetos con hipoacusia. El MTB y el SSN tienen rms idénticos, y espectros similares, pero diferentes características de modulación de la amplitud. El desempeño de los normo-oyentes, que fue 2 dB mejor en MTB que en SSN, fue 10 dB mejor que el desempeño de los sujetos hipoacúsicos, resultando alrededor de 0.5 dB mejor para MTB, con 56% de los sujetos respondiendo mejor en MTB y 40% mejor en SSN. Las pendientes de la funciones para los sujetos normo-oyentes (8–9 %/dB) fueron más empinadas que las funciones de los sujetos hipoacúsicos (5–6 %/dB). Los datos indican que el WIN tiene un buen criterio de validez.

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Rozsokha, Antonina, and Michael Kravets. "Criteria, indicators and readiness levels of future physical education teachers for local lore." HUMANITARIUM 44, no. 2 (December 31, 2019): 161–72. http://dx.doi.org/10.31470/2308-5126-2019-44-2-161-172.

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The article analyzes the current state of professional training of future physical education teachers in higher education institutions of Ukraine for local lore on the basis of a competent approach. The criteria, indicators and levels of readiness of future physical education teachers for local lore in the course of their professional training are highlighted. A number of different approaches to the evaluation of the criteria for the formation of readiness of future specialists have been investigated. The correspondence of each criterion of readiness of future teachers of physical culture to local lore activity is established by the indicators reflecting qualitative and quantitative characteristics of its competences. On the basis of the analysis of the psychological and pedagogical literature, the indicators of the readiness of future teachers of physical culture for local lore are determined, namely: motivational, cognitive and activity. The boundaries of the level of preparedness of future physical education teachers for local lore are clearly defined on the basis of the competence approach: insufficient, sufficient and high. The criterion of formation of future physical education teachers' readiness for local lore is an objective characteristic that reflects its essential features and by means of which they make comparative assessment of the effectiveness of its formation in traditional and isolated pedagogical conditions. The structure of future physical education teachers' readiness for local history activities included a motivational component, a cognitive component, and an activity component. The level of readiness for local lore activity of future physical education teachers has been determined: insufficient level (low, reproductive), sufficient level (average, productive), high level (creative). The readiness of physical culture teachers for local lore is determined by the functions: cognitive, communicative, developmental, adaptive, informative, reflexive.

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Journal articles on the topic 'Criterion of characteristic functions'

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