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1
Zeiler, F. A., B. Unger, Q. Zhu, J. Xiao, A. W. Kirkpatrick, A. H. Kramer, E. M. Aleassa, and L. M. Gillman. "A Unique Model for ONSD Part II: Inter/Intra-operator Variability." Canadian Journal of Neurological Sciences / Journal Canadien des Sciences Neurologiques 41, no. 4 (July 2014): 430–35. http://dx.doi.org/10.1017/s0317167100018448.
Повний текст джерелаАнотація:
Objective:To evauluate our novel ultrasound model for measurement of optic nerve sheath diameter (ONSD) and determine the intra- and inter-operator variability associated with this technique.Methods:We conducted ten measurements of ONSD per model amongst eight different models with a single experienced operator to examine intra-operator variability. Similarly, we had seven different operators measure the OSND twice in eight different models, in order to determine inter-operator variability analyzed with a three level linear statistical model.Results:For intra-operator variability, the intra-cluster correlation coefficients for the experienced and novice operators were 0.643 and 0.453 respectively. This displayed improvement in intra-operator variability with experience. The inter-cluster correlation coefficient was 0 for the group of novice operators, indicating negligible difference amongst multiple operators in measuring any given model of ONSD. A strong, statistically significant, linear relationship between the actual model disc size and the ultrasound ONSD measures was identified, implying the reliability of the images produced by our novel model.Conclusions:Utilizing a novel model for ONSD ultrasonography, we have determined the intraoperator reliability of ONSD measurement to be moderate, with no appreciable difference amongst multiple operators. Improvement in measurement reliability has been demonstrated between expert and novice operators with our model, indicating the potential benefit of simulation platforms for teaching the technique of ONSD ultrasound.
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Yao, Tianxiang, and Hong Gao. "Studies on the properties of buffer operators." Grey Systems: Theory and Application 8, no. 1 (February 5, 2018): 14–24. http://dx.doi.org/10.1108/gs-08-2017-0030.
Повний текст джерелаАнотація:
Purpose Buffer operators can be utilized to improve the smooth degree of the raw data sequence, and to increase the simulation accuracy of the model. The purpose of this paper is to analyze the cause of increase in the simulation accuracy of the buffer operator. Design/methodology/approach This paper probed into the modeling mechanism of several typical buffer operators such as the arithmetic buffer operators, the buffer operators with monotonic function and weighted buffer operators. The paper also gives an example of the buffer operator sequence. Findings The results indicate that after applying an infinite buffer operator, whether the authors adopt a weakening buffer operator or a strengthen buffer operator, the raw sequence can be changed into a constant sequence. Because the discrete GM(1,1) model can completely simulate constant sequence, the simulation accuracy is 100 percent. Because the discrete GM(1,1) model is the accurate form of the GM(1,1) model, after applying an infinite buffer operator, the GM(1,1) model can have a very high simulation accuracy. The buffer operator model can increase the simulation accuracy of both the GM(1,1) model and the discrete GM(1,1) model. Originality/value The paper analyses the cause of increasing simulation accuracy of the buffer operator model. The paper may indicate that possible results can be studied in the future. All the buffer operator models have similar properties. After applying an infinite buffer operator, the raw sequence can be changed into a constant sequence. A fixed-point axiom may be the basic cause.
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Fander, Atieh, Saeed Yaghoubi, and Javad Tajik. "A game theoretic model for cellular network operators’ cooperation under government intervention." RAIRO - Operations Research 56, no. 2 (March 2022): 813–29. http://dx.doi.org/10.1051/ro/2022025.
Повний текст джерелаАнотація:
In the digital world today, cellular networks and their operators play a competitive and important role in communications. The bases of the competition of operators are the quality of provided services and the coverage level of their antennas, thereby attract customers. This paper studies cellular networks with two old and new operators and under the influence of government intervention in one area. Due to the high cost of building an antenna, the new operator participates in the cost of the infrastructure of the old operator to use the services of these antennas for their customers. On the other hand, the government considers incentive schemes to support mobile operators. The government plans to take part in the infrastructure costs of the old operator, and will receive the income tax from it. Hence, the new operator will go off from paying tax. The government subsidy contract with the old operator is based on the coverage level of the antenna and supports the operator to increase the coverage level. By doing so, the quality level of services and coverage development rate for the old operator increases, leading to increased demand and increased profits for this operator. On the other hand, as government support increases the demand for the old operator, the demand for the new operator decreases and the profit of the new operator decreases. Some numerical examples for Iranian telecommunication companies are applied to examine the applicability of the proposed models. Finally, sensitivity analysis on the main parameters is analyzed in-depth to extract some managerial implications.
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Kobzev, A. A., and A. V. Lekareva. "Computer model of the vehicle operator." Izvestiya MGTU MAMI 9, no. 2-1 (January 20, 2015): 66–71. http://dx.doi.org/10.17816/2074-0530-67230.
Повний текст джерелаАнотація:
When designing mobile technology systems it is needed to take into account physiological characteristics of a person, as an operator. The main objective is to simulate movements of operators, to study dynamic effects of the vehicle on a human operator performing the functions of management of working bodies of technological equipment and vehicle control. This paper describes development of a mathematical model of the vehicle operator, including the bodies involved in the procedures and actions related to obtaining control information and management of working bodies.
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Gay, Paul, Donita A. Phipps, Ann M. Bisantz, Neff Walker, Alex Kirlik, and Arthur D. Fisk. "Operator Specific Modeling of Identification Judgments in a Complex Dynamic Task." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 41, no. 1 (October 1997): 225–29. http://dx.doi.org/10.1177/107118139704100151.
Повний текст джерелаАнотація:
In this paper, we consider the problem of training operators to make identification judgments from multidimensional, possibly probabilistic, information sources. We used models of the environment and the operator to measure the causes of lack of fit of the operator to the environment. Linear regression was used to model the relationship between cues and identifications. Cues in the environment were regressed on the correct identification to obtain the environmental model. These same cues were regressed on the operators' identity judgments to obtain the operator models. Individual environmental models were necessary in order to properly represent the environment when operator decisions and timing shaped the environment dynamically. High agreement between environmental and operator models were linked to top performance on the task. Implications for training are discussed.
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Li, Zhi-Min, and Yi-Ding Zhao. "Model for Software Patterns Selection with Fuzzy Linguistic Information." Journal of Computational and Theoretical Nanoscience 13, no. 10 (October 1, 2016): 7533–37. http://dx.doi.org/10.1166/jctn.2016.5749.
Повний текст джерелаАнотація:
With respect to multiple attribute group decision making problem with triangular fuzzy linguistic information, in which the attribute weights and expert weights take the form of real numbers, and the preference values take the form of triangular fuzzy linguistic variables, some operators for aggregating triangular fuzzy linguistic variables, such as the fuzzy linguistic harmonic mean (FLHM) operator, fuzzy linguistic weighted harmonic mean (FLWHM) operator, fuzzy linguistic ordered weighted harmonic mean (FLOWHM) operator, and fuzzy linguistic hybrid harmonic mean (FLHHM) operator are proposed. Based on the FLWHM and FLHHM operators, a practical method is developed for group decision making with triangular fuzzy linguistic variables. Finally, an illustrative example about software patters selection is given to verify the developed approach.
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Brzóska, Jan, and Marek Krannich. "Model of the regional revitalization operator." Scientific Papers of Silesian University of Technology. Organization and Management Series 2017, no. 108 (2017): 55–67. http://dx.doi.org/10.29119/1641-3466.2017.108.5.
Повний текст джерела
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Wei, Guiwu. "Model for Multiple Attribute Decision Making Based on Picture 2-Tuple Linguistic Power Aggregation Operators." International Journal of Decision Support System Technology 11, no. 1 (January 2019): 35–65. http://dx.doi.org/10.4018/ijdsst.2019010103.
Повний текст джерелаАнотація:
In this article, the authors investigate the multiple attribute decision making problems with picture 2-tuple linguistic information. The utilized power average and power geometric operations used to develop some picture 2-tuple linguistic power aggregation operators: picture 2-tuple linguistic power weighted average (P2TLPWA) operator, picture 2-tuple linguistic power weighted geometric (P2TLPWG) operator, picture 2-tuple linguistic power ordered weighted average (P2TLPOWA) operator, picture 2-tuple linguistic power ordered weighted geometric (P2TLPOWG) operator, picture 2-tuple linguistic power hybrid average (P2TLPHA) operator and picture 2-tuple linguistic power hybrid geometric (P2TLPHG) operator. The prominent characteristic of these proposed operators is studied. This article has utilized these operators to develop some approaches to solve the picture 2-tuple linguistic multiple attribute decision making problems. Finally, a practical example for enterprise resource planning (ERP) system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.
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Nierla, Michael, Alexander Sutor, Stefan Johann Rupitsch, and Manfred Kaltenbacher. "Stageless evaluation for a vector Preisach model based on rotational operators." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 36, no. 5 (September 4, 2017): 1501–16. http://dx.doi.org/10.1108/compel-02-2017-0073.
Повний текст джерелаАнотація:
Purpose This paper aims to present a novel stageless evaluation scheme for a vector Preisach model that exploits rotational operators for the description of vector hysteresis. It is meant to resolve the discretizational errors that arise during the application of the standard matrix-based implementation of Preisach-based models. Design/methodology/approach The newly developed evaluation uses a nested-list data structure. Together with an adapted form of the Everett function, it allows to represent both the additional rotational operator and the switching operator of the standard scalar Preisach model in a stageless fashion, i.e. without introducing discretization errors. Additionally, presented updating and simplification rules ensure the computational efficiency of the scheme. Findings A comparison between the stageless evaluation scheme and the commonly used matrix approach reveals not only an improvement in accuracy up to machine precision but, furthermore, a reduction of computational resources. Research limitations/implications The presented evaluation scheme is especially designed for a vector Preisach model, which is based on an additional rotational operator. A direct application to other vector Preisach models that do not rely on rotational operators is not intended. Nevertheless, the presented methodology allows an easy adaption to similar vector Preisach schemes that use modified setting rules for the rotational operator and/or the switching operator. Originality/value Prior to this contribution, the vector Preisach model based on rotational operators could only be evaluated using a matrix-based approach that works with discretized forms of rotational and switching operator. The presented evaluation scheme offers reduced computational cost at much higher accuracy. Therefore, it is of great interest for all users of the mentioned or similar vector Preisach models.
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Wang, Rui, Jie Wang, Hui Gao, and Guiwu Wei. "Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment Risk." Symmetry 11, no. 1 (December 21, 2018): 6. http://dx.doi.org/10.3390/sym11010006.
Повний текст джерелаАнотація:
In this article, we study multiple attribute decision-making (MADM) problems with picture fuzzy numbers (PFNs) information. Afterwards, we adopt a Muirhead mean (MM) operator, a weighted MM (WMM) operator, a dual MM (DMM) operator, and a weighted DMM (WDMM) operator to define some picture fuzzy aggregation operators, including the picture fuzzy MM (PFMM) operator, the picture fuzzy WMM (PFWMM) operator, the picture fuzzy DMM (PFDMM) operator, and the picture fuzzy WDMM (PFWDMM) operator. Of course, the precious merits of these defined operators are investigated. Moreover, we have adopted the PFWMM and PFWDMM operators to build a decision-making model to handle picture fuzzy MADM problems. In the end, we take a concrete instance of appraising a financial investment risk to demonstrate our defined model and to verify its accuracy and scientific merit.
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Guijarro, Luis, Vicent Pla, Jose R. Vidal, and Jorge Martinez-Bauset. "Entry, Competition, and Regulation in Cognitive Radio Scenarios: A Simple Game Theory Model." Mathematical Problems in Engineering 2012 (2012): 1–13. http://dx.doi.org/10.1155/2012/620972.
Повний текст джерелаАнотація:
Spectrum management based on private commons is argued to be a realistic scenario for cognitive radio deployment within the current mobile market structure. A scenario is proposed where a secondary entrant operator leases spectrum from a primary incumbent operator. The secondary operator innovates incorporating cognitive radio technology, and it competes in quality of service and price against the primary operator in order to provide service to users. We aim to assess which benefit users get from the entry of secondary operators in the market. A game theory-based model for analyzing both the competition between operators and the subscription decision by users is proposed. We conclude that an entrant operator adopting an innovative technology is better off entering the market, and that a regulatory authority should intervene first allowing the entrant operator to enter the market and then setting a maximum amount of spectrum leased. This regulatory intervention is justified in terms of users utility and social welfare.
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Akram, Muhammad, Naveed Yaqoob, Ghous Ali, and Wathek Chammam. "Extensions of Dombi Aggregation Operators for Decision Making under m-Polar Fuzzy Information." Journal of Mathematics 2020 (August 1, 2020): 1–20. http://dx.doi.org/10.1155/2020/4739567.
Повний текст джерелаАнотація:
An m-polar fuzzy set is a powerful mathematical model to analyze multipolar, multiattribute, and multi-index data. The m-polar fuzzy sets have appeared as a useful tool to portray uncertainty in multiattribute decision making. The purpose of this article is to analyze the aggregation operators under the m-polar fuzzy environment with the help of Dombi norm operations. In this article, we develop some averaging and geometric aggregation operators using Dombi t-norm and t-conorm to handle uncertainty in m-polar fuzzy (mF, henceforth) information, which are mF Dombi weighted averaging (mFDWA) operator, mF Dombi ordered weighted averaging (mFDOWA) operator, mF Dombi hybrid averaging (mFDHA) operator, mF Dombi weighted geometric (mFDWG) operator, mF Dombi weighted ordered geometric operator, and mF Dombi hybrid geometric (mFDHG) operator. We investigate properties, namely, idempotency, monotonicity, and boundedness, for the proposed operators. Moreover, we give an algorithm to solve multicriteria decision-making issues which involve mF information with mFDWA and mFDWG operators. To prove the validity and feasibility of the proposed model, we solve two numerical examples with our proposed models and give comparison with mF-ELECTRE-I approach (Akram et al. 2019) and mF Hamacher aggregation operators (Waseem et al. 2019). Finally, we check the effectiveness of the developed operators by a validity test.
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Zhang, Chao, Jinhao Qiu, Yuansheng Chen, and Hongli Ji. "Modeling hysteresis and creep behavior of macrofiber composite–based piezoelectric bimorph actuator." Journal of Intelligent Material Systems and Structures 24, no. 3 (September 21, 2012): 369–77. http://dx.doi.org/10.1177/1045389x12460337.
Повний текст джерелаАнотація:
Macrofiber composite–based bimorph actuators inherit the nonlinear properties of hysteresis and creep of piezoelectric materials, which limit the accuracy in real-time control. Many hysteresis models have been proposed, and generalized Maxwell slip model consisting of a series of nonlinear elements is one of the simplest and most efficient operators to describe symmetrical hysteresis. However, these hysteresis operators do not contain the creep behavior of piezoelectric materials. In this study, a hybrid model including a generalized Maxwell slip operator, a creep operator, and a dynamic model is developed to characterize a macrofiber composite–based piezoelectric bimorph actuator. The generalized Maxwell slip operator is used to describe the hysteresis, the creep operator is used to describe the creep behavior, and a transfer function is used to describe the dynamic model. Each nonlinear element in the creep operator is made up of a diode, a resistance, and a capacitance. The experiment results show that the proposed model can accurately predict the hysteresis, creep, and dynamic behaviors of the macrofiber composite–based piezoelectric bimorph actuator.
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Zelenika, Ratko, Tomaž Lotrič, and Ervin Bužan. "Multimodal Transport Operator Liability Insurance Model." PROMET - Traffic&Transportation 23, no. 1 (January 26, 2012): 25–38. http://dx.doi.org/10.7307/ptt.v23i1.146.
Повний текст джерелаАнотація:
Multimodal transportation means transporting goods from a pickup point, where the operator receives the goods, all the way to the delivery location, using at least two different means of transportation, covered under the same multimodal transport contract and by only one document, regardless of the number or type of transportation vehicles used. The key factor to the optimal operation of multimodal transportation is the multimodal transport operator. It is up to this individual to compensate for various unpredictable circumstances, the complexity of the business processes, nature’s whims and carelessness. He must also organize and execute multimodal transport in all stages. Due to the above mentioned dangers and the fact that the area of liability insurance for multimodal transport operators is still being neglected, this article raises some valid points in favour of a proposal that would cover all of the transportation means as well as all the accompanying activities with a single insurance policy. The model includes 17 elements of liability insurance for a multimodal transport operator and all values which quantify the insurance elements in 2009 as well as the projected values for 2015, when progress is expected in the areas pertaining to the implementation of economical processes concerning transit development, as well as values for 2025, representing a period of innovation, reconstruction, optimization and modernization. With this supposed model for liability insurance of a multimodal transport operator, the foundation is laid for a liability insurance which would be used by a multimodal transport operator. KEYWORDS: transport insurance, multimodal transport, multimodal transport operator, multimodal transport operator liability systems
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Goguadze, George, Carla Piazza, and Yde Venema. "Simulating polyadic modal logics by monadic ones." Journal of Symbolic Logic 68, no. 2 (June 2003): 419–62. http://dx.doi.org/10.2178/jsl/1052669058.
Повний текст джерелаАнотація:
AbstractWe define an interpretation of modal languages with polyadic operators in modal languages that use monadic operators (diamonds) only. We also define a simulation operator which associates a logic Λsim in the diamond language with each logic Λ in the language with polyadic modal connectives. We prove that this simulation operator transfers several useful properties of modal logics, such as finite/recursive axiomatizability, frame completeness and the finite model property, canonicity and first-order definability.
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YANG, CHEN NING, and S. C. ZHANG. "SO4 SYMMETRY IN A HUBBARD MODEL." Modern Physics Letters B 04, no. 11 (June 1990): 759–66. http://dx.doi.org/10.1142/s0217984990000933.
Повний текст джерелаАнотація:
For a simple Hubbard model, using a particle-particle pairing operator η and a particle-hole pairing operator ζ, it is shown that one can write down two commuting sets of angular momenta operators J and J′, both of which commute with the Hamiltonian. These considerations allow the introduction of quantum numbers j and j′ and lead to the fact that the system has SO 4=( SU 2× SU 2)/Z2 symmetry, j is related to the existence of superconductivity for a state and j′ to its magnetic properties.
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YANG, CHEN NING, and S. C. ZHANG. "SO4 SYMMETRY IN A HUBBARD MODEL." International Journal of Modern Physics B 05, no. 06n07 (April 1991): 977–84. http://dx.doi.org/10.1142/s021797929100050x.
Повний текст джерелаАнотація:
For a simple Hubbard model, using a particle-particle pairing operator η and a particle-hole pairing operator ζ, it is shown that one can write down two commuting sets of angular momenta operators J and J′, both of which commute with the Hamiltonian. These considerations allow the introduction of quantum numbers j and j′, and lead to the fact that the system has SO 4 = ( SU 2 × SU 2)/ Z 2 symmetry. j is related to the existence of superconductivity for a state and j′ to its magnetic properties.
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Douer, Nir, Meirav Redlich, and Joachim Meyer. "Operator Responsibility for Outcomes: A Demonstration of the ResQu Model." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 64, no. 1 (December 2020): 278–82. http://dx.doi.org/10.1177/1071181320641065.
Повний текст джерелаАнотація:
In systems with advanced automation, human responsibility for outcomes becomes equivocal. We developed the Responsibility Quantification (ResQu) model to compute a measure of operator responsibility (Douer & Meyer, 2020) and compared it to observed and subjective levels of responsibility (Douer & Meyer, 2019). We used the model to calculate operators’ objective responsibility in a common fault event in the control room in a dairy factory. We compared the results to the subjective assessments made by different functions in the diary. The capabilities of the automation greatly exceeded those of the human, and the operator should comply with the indications of the automation. Thus, the objective causal human responsibility is 0. Outside observers, such as managers, assigned much higher responsibility to the operator, possibly holding operators responsible for adverse outcomes in situations in which they rightly trusted the automation.
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Wojcik, Thaddeus M. "Human Performance Modeling and Decision Analysis in a Concept Crew Workstation." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 46, no. 23 (September 2002): 1910–14. http://dx.doi.org/10.1177/154193120204602309.
Повний текст джерелаАнотація:
As part of the effort to evaluate the performance of soldiers operating in the Vetronics Testbed Technology (VTT), a human performance model of operator processes and tasks was developed. The purpose of this effort was to gather insight into operator workload constraints, points of operator overload due to task demands, and key decision-making points and strategies employed by the operators. Operator performance was modeled when the operators were confronted with the task of controlling multiple experimental unmanned ground vehicles (XUV) in addition to performing standard Command and Control (C2) operations. The model was built using the Improved Performance Research Integration Tool (IMPRINT). Development began with a task decomposition of the current VTT system and operator control unit (OCU) and was decomposed to the button-push level of operator interaction with the unit. Next, several operational scenarios were developed to drive the simulated operator actions in the OCU and obtain measures of performance. Finally, a decision-making architecture was implemented in the model to examine points where intelligent agents and system automation could potentially aid in reducing operator cognitive demands.
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Peng-xiang, He, and Sun Sheng-xiang. "Grey GM (1,1) model based on combinatorial buffer operator." E3S Web of Conferences 292 (2021): 02062. http://dx.doi.org/10.1051/e3sconf/202129202062.
Повний текст джерелаАнотація:
Considering that some emerging industries have not developed for a long time, the amount of data available for forecasting future economic problems is relatively limited, complex and changeable. Based on the principle of combinatorial prediction, a combinatorial buffer operator based on different order buffer operators is proposed, and the correlation area between the generated sequence and the original sequence after the buffer operator is used as weighting criterion. The grey GM (1,1) prediction model based on the combined buffer operator was established, which effectively overcame the influence of abnormal data and restored the change rule of data series. The average prediction error of the data in literature [7] by using the combined buffer operator established in this paper was 0.98%. Compared with 6.89%, 11i.59% and 1.30% of the original method, the predction accuracy is significantly improved.
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Abbaoui, Lyazid, and Latifa Debbi. "An application of the nonselfadjoint operators theory in the study of stochastic processes." Journal of Applied Mathematics and Stochastic Analysis 2004, no. 2 (January 1, 2004): 149–57. http://dx.doi.org/10.1155/s1048953304305034.
Повний текст джерелаАнотація:
The theory of operator colligations in Hilbert spaces gives rise to certain models for nonselfadjoint operators, called triangular models. These models generalize the spectral decomposition of selfadjoint operators. In this paper, we use the triangular model to obtain the correlation function (CF) of a nonstationary linearly representable stochastic process for which the corresponding operator is simple, dissipative, nonselfadjoint of rank 1, and has real spectrum. As a generalization, we represent the infinitesimal correlation function (ICF) of a nonhomogeneous linearly representable stochastic field in which at least one of the operators has real spectrum.
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Philip, Sajeev, Randall V. Martin, and Christoph A. Keller. "Sensitivity of chemistry-transport model simulations to the duration of chemical and transport operators: a case study with GEOS-Chem v10-01." Geoscientific Model Development 9, no. 5 (May 3, 2016): 1683–95. http://dx.doi.org/10.5194/gmd-9-1683-2016.
Повний текст джерелаАнотація:
Abstract. Chemistry-transport models involve considerable computational expense. Fine temporal resolution offers accuracy at the expense of computation time. Assessment is needed of the sensitivity of simulation accuracy to the duration of chemical and transport operators. We conduct a series of simulations with the GEOS-Chem chemistry-transport model at different temporal and spatial resolutions to examine the sensitivity of simulated atmospheric composition to operator duration. Subsequently, we compare the species simulated with operator durations from 10 to 60 min as typically used by global chemistry-transport models, and identify the operator durations that optimize both computational expense and simulation accuracy. We find that longer continuous transport operator duration increases concentrations of emitted species such as nitrogen oxides and carbon monoxide since a more homogeneous distribution reduces loss through chemical reactions and dry deposition. The increased concentrations of ozone precursors increase ozone production with longer transport operator duration. Longer chemical operator duration decreases sulfate and ammonium but increases nitrate due to feedbacks with in-cloud sulfur dioxide oxidation and aerosol thermodynamics. The simulation duration decreases by up to a factor of 5 from fine (5 min) to coarse (60 min) operator duration. We assess the change in simulation accuracy with resolution by comparing the root mean square difference in ground-level concentrations of nitrogen oxides, secondary inorganic aerosols, ozone and carbon monoxide with a finer temporal or spatial resolution taken as “truth”. Relative simulation error for these species increases by more than a factor of 5 from the shortest (5 min) to longest (60 min) operator duration. Chemical operator duration twice that of the transport operator duration offers more simulation accuracy per unit computation. However, the relative simulation error from coarser spatial resolution generally exceeds that from longer operator duration; e.g., degrading from 2° × 2.5° to 4° × 5° increases error by an order of magnitude. We recommend prioritizing fine spatial resolution before considering different operator durations in offline chemistry-transport models. We encourage chemistry-transport model users to specify in publications the durations of operators due to their effects on simulation accuracy.
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McKeon, D. G. C. "Operator regularization and composite operators." Canadian Journal of Physics 68, no. 3 (March 1, 1990): 296–300. http://dx.doi.org/10.1139/p90-047.
Повний текст джерелаАнотація:
We demonstrate how operator regularization can be used to compute radiative corrections to Green's functions involving composite operators. No divergences are encountered and no symmetry-breaking regulating parameter need be introduced into the initial Lagrangian. We demonstrate the technique to one-loop order by considering operators of dimension four in the [Formula: see text] model and the operator [Formula: see text] in an axial model. Anomalous dimensions of these operators are determined by considering finite Green's functions. There is no need to define "oversubtracted" operators to maintain linearity, as is the case when one uses BPH subtraction, nor is there an ambiguity between the trace of [Formula: see text] and [Formula: see text], as occurs in dimensional regularization. Quantities such as γ5, εμνλσ, and εμν (which are well-defined only in an integer number of dimensions) are treated unambiguously as we never alter the dimensionality of the problem.
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Douglas, Jordan, Rong Zhang, and Remco Bouckaert. "Adaptive dating and fast proposals: Revisiting the phylogenetic relaxed clock model." PLOS Computational Biology 17, no. 2 (February 2, 2021): e1008322. http://dx.doi.org/10.1371/journal.pcbi.1008322.
Повний текст джерелаАнотація:
Relaxed clock models enable estimation of molecular substitution rates across lineages and are widely used in phylogenetics for dating evolutionary divergence times. Under the (uncorrelated) relaxed clock model, tree branches are associated with molecular substitution rates which are independently and identically distributed. In this article we delved into the internal complexities of the relaxed clock model in order to develop efficient MCMC operators for Bayesian phylogenetic inference. We compared three substitution rate parameterisations, introduced an adaptive operator which learns the weights of other operators during MCMC, and we explored how relaxed clock model estimation can benefit from two cutting-edge proposal kernels: the AVMVN and Bactrian kernels. This work has produced an operator scheme that is up to 65 times more efficient at exploring continuous relaxed clock parameters compared with previous setups, depending on the dataset. Finally, we explored variants of the standard narrow exchange operator which are specifically designed for the relaxed clock model. In the most extreme case, this new operator traversed tree space 40% more efficiently than narrow exchange. The methodologies introduced are adaptive and highly effective on short as well as long alignments. The results are available via the open source optimised relaxed clock (ORC) package for BEAST 2 under a GNU licence (https://github.com/jordandouglas/ORC).
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Chowdhury, A. M., and D. G. C. McKeon. "Operator regularization in the Weinberg–Salam model." Canadian Journal of Physics 65, no. 9 (September 1, 1987): 1082–89. http://dx.doi.org/10.1139/p87-179.
Повний текст джерелаАнотація:
The technique of operator regularization is applied to the Weinberg–Salam model. By directly regulating operators that arise in the course of evaluating path integrals in the background-field formalism, we preserve all symmetries of the theory. An expansion due to Schwinger is employed to compute amplitudes perturbatively, thereby avoiding Feynman diagrams. No explicitly divergent quantities arise in this approach. The general features of the method are outlined with particular attention paid to the problem of simultaneously regulating functions of an operator A and inverse functions upon which A itself depends. Specific application is made to computation of the one-loop contribution to the muon–photon vertex in the Weinberg–Salam model in the limit of zero momentum transfer to the photon.
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Du, Yu, Michael Dorneich, Brian Steward, and Cameron A. MacKenzie. "A Bayesian-Influence Model for Error Probability Analysis of Combine Operations in Harvesting." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 60, no. 1 (September 2016): 1414–18. http://dx.doi.org/10.1177/1541931213601325.
Повний текст джерелаАнотація:
Harvesting is one of the most important agricultural operations because it captures the value from the entire cropping season. In modern agriculture, grain harvesting has been mechanized through the combine harvester. A combine harvester enables highly productive crop harvesting. Combine harvesting performance depends on the highly variable skill of combine operators and associated operator error. An approach was developed to analyze the risk of the combine harvesting operation as it relates to operator error. Specifically, a risk analysis model was built based on a task analysis from operator interviews and estimates of the probability of operator error. This paper employs a Bayesian approach to assess risks in combine operation. This approach applies a Bayesian Belief Network to agriculture operations, which represents a new application for this risk analysis tool. Sensitivity analysis of different errors and operator skill levels was also performed. The preliminary results indicate that a reduction of human operator action errors can substantially improve the outcomes of the human-machine interaction.
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Lei, Fan, Guiwu Wei, and Xudong Chen. "Some self-evaluation models of enterprise’s credit based on some probabilistic double hierarchy linguistic aggregation operators." Journal of Intelligent & Fuzzy Systems 40, no. 6 (June 21, 2021): 11809–28. http://dx.doi.org/10.3233/jifs-202922.
Повний текст джерелаАнотація:
Probabilistic double hierarchy linguistic term set (PDHLTS) can not only express the complex linguistic information that the probabilistic linguistic term set (PLTS) cannot express, but also reflect the frequency or importance of linguistic term set (LTS)that cannot be reflected by the double hierarchy linguistic term set (DHLTS). It is an effective tool to deal with multiple attribute group decision making (MAGDM) problems. Therefore, in this paper, we propose several aggregation operators which can aggregate PDHLTS information and apply them to MAGDM problems. Firstly, the basic notion of PDHLTS is reviewed, and the distance formula and algorithm of PDHLTS are defined; then, extant weighted averaging (WA) operator, weighted geometric(WG) operator and power weighted averaging (PWA) operator, power weighted geometric(PWG) operator to PDHLTS, and establish probability double hierarchy linguistic weighted averaging (PDHLWA) operator, probability double hierarchy linguistic weighted geometric (PDHLWG) operator, probability double hierarchy linguistic power weighted averaging (PDHLPWA) operator, probability double hierarchy linguistic power weighted geometric (PDHLPWG) operator; in addition, The idempotency, boundedness and monotonicity of these aggregation operators are studied; what’s more, those aggregation operators are proposed to establish the enterprise credit self-evaluation model; Finally, compared with the available probabilistic double hierarchy linguistic MAGDM methods, the defined model is proved to be scientific and effective.
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Mitas, Christos M., and Walter A. Robinson. "Atmospheric Stability in a Generalized Barotropic Model." Journal of the Atmospheric Sciences 62, no. 2 (February 1, 2005): 476–91. http://dx.doi.org/10.1175/jas-3375.1.
Повний текст джерелаАнотація:
Abstract An empirical modification of conventional barotropic dynamics is implemented to study the low-frequency variability (LFV) of the upper troposphere. Using the conservation of potential vorticity, generalized spectral barotropic operators that apply at single isentropic levels are constructed. In initial value calculations the empirical model shows improvement in skill compared to the conventional barotropic model, but it does not do significantly better than persistence. For short times, however, the empirically modified model shows a much closer resemblance to the observed streamfunction tendency. Overall, it is a significantly more accurate representation of the atmosphere than the conventional barotropic model. Normal, optimal, and singular modes of the modified model are calculated. The modes of the empirically modified model are more stable and more difficult to excite than those of the barotropic model. These results are consistent with previous studies that found barotropic dynamics deficient for the quantitative description of LFV. The singular modes of the modified operator have very similar patterns but explain less variance than those of the barotropic operator, which is consistent with the difficulty in detecting optimal patterns in observations. The modified barotropic operator is also more normal than the barotropic operator, and thus less variable.
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Kazemi, Nasser. "Shot-record extended model domain preconditioners for least-squares migration." GEOPHYSICS 84, no. 4 (July 1, 2019): S285—S299. http://dx.doi.org/10.1190/geo2018-0475.1.
Повний текст джерелаАнотація:
We have studied the preconditioned conjugate gradient (CG) algorithm in the context of shot-record extended model domain least-squares migration. The CG algorithm is a powerful iterative technique that can solve the least-squares migration problem efficiently; however, to see the merits of least-squares migration, one needs to apply the algorithm for several iterations. Generally speaking, the convergence rate of the CG algorithm depends on the condition number of the operator. Preconditioners are a family of operators that are easy to build and invert. Proper preconditioners can cluster the eigenvalues of the original operator; hence, they reduce the condition number of the operator that one wishes to invert. Accordingly, preconditioning the operator can, in theory, improve the convergence rate of the algorithm. In least-squares migration, the diagonal scaling of the Hessian and the approximated inverse of the Hessian are proven to work well as a preconditioner. We develop and apply two types of preconditioners for the shot-record extended model domain least-squares migration problem. The first preconditioner belongs to the diagonal scaling category, and a second preconditioner is a filter-based approach, which approximates the partial Hessian operators by local convolutional filters. The goal is to increase the convergence rate of the shot-record extended model domain least-squares migration using the reformulated cost function with a preconditioned operator. Experiments with a synthetic Sigsbee model and a real data example from the Gulf of Mexico, Mississippi Canyon data set, indicate that preconditioning the linear system of the equations improves the convergence rate of the algorithm.
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Benson, N., P. Sugiono, and P. Youderian. "DNA sequence determinants of lambda repressor binding in vivo." Genetics 118, no. 1 (January 1, 1988): 21–29. http://dx.doi.org/10.1093/genetics/118.1.21.
Повний текст джерелаАнотація:
Abstract The critical operator determinants for lambda repressor recognition have been defined by analyzing the binding of wild-type repressor to a set of mutant operators in vivo. Base pair substitutions at six positions within the lambda operator half-site impair binding severely, and define these base pairs as critical for operator function. One mutant operator binds repressor better than the consensus operator, and is a superoperator. The model proposed by M. Lewis in 1983 for the binding of lambda repressor to its operator accurately predicts the observed operator requirements for binding in vivo, with several minor exceptions. The order of affinities of the six natural lambda operators has also been determined.
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Tuna, Hüseyin. "Functional Model of Dissipative Fourth Order Differential Operators." Analele Universitatii "Ovidius" Constanta - Seria Matematica 21, no. 2 (June 1, 2013): 237–52. http://dx.doi.org/10.2478/auom-2013-0036.
Повний текст джерелаАнотація:
Abstract In this paper, maximal dissipative fourth order operators with equal deficiency indices are investigated. We construct a self adjoint dilation of such operators. We also construct a functional model of the maximal dissipative operator which based on the method of Pavlov and define its characteristic function. We prove theorems on the completeness of the system of eigenvalues and eigenvectors of the maximal dissipative fourth order operators.
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Shahzadi, Gulfam, Fariha Zafar, and Maha Abdullah Alghamdi. "Multiple-Attribute Decision-Making Using Fermatean Fuzzy Hamacher Interactive Geometric Operators." Mathematical Problems in Engineering 2021 (June 24, 2021): 1–20. http://dx.doi.org/10.1155/2021/5150933.
Повний текст джерелаАнотація:
Fermatean fuzzy set (FFS) is a more efficient, flexible, and generalized model to deal with uncertainty, as compared to intuitionistic and Pythagorean fuzzy models. This research article presents a novel multiple-attribute decision-making (MADM) technique based on FFS. Aggregation operators (AOs), for example, Dombi, Einstein, and Hamacher, are frequently being used in the MADM process and are considered useful tools for evaluating the given alternatives. Among these, one of the most effective is the Hamacher operator. The salient feature of this operator is that it reduces the impact of negative information and provides more accurate results. Motivated by the primary characteristics of the Hamacher operator, we apply Hamacher interactive aggregation operators based on FFSs to determine the best alternative. Using Hamacher’s norm operations, we introduce some new geometric operators, namely, Fermatean fuzzy Hamacher interactive weighted geometric (FFHIWG) operator, Fermatean fuzzy Hamacher interactive ordered weighted geometric (FFHIOWG) operator, and Fermatean fuzzy Hamacher interactive hybrid weighted geometric (FFHIHWG) operator. Some important results and properties of the proposed AOs are discussed, and to achieve the optimal alternative, the proposed MADM technique is carried out in a real-life application of the medical field. An algorithm of the proposed technique is also developed. The significance of the proposed method is that Fermatean fuzzy Hamacher interactive geometric (FFHIG) operators deal with the relationship among belongingness degree (BD) and nonbelongingness degree (NBD) of the objects, which perform a crucial role in decision-making (DM). At last, to show the exactness and validity of the proposed work, a comparative analysis of the proposed model and the existing models is presented.
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Xiao, Bin, Lang Hong, Xinyong Cai, Hongmin Zhu, Bin Li, and Liang Shao. "A Novel Clinical Scoring Model for Interventional Therapy in Chronic Total Occlusion of the Coronary Artery." Journal of Interventional Cardiology 2021 (September 17, 2021): 1–11. http://dx.doi.org/10.1155/2021/9988943.
Повний текст джерелаАнотація:
Objective. With the rapid development of technology and experience, the current percutaneous coronary intervention of chronic total occlusion (CTO-PCI) preoperative scoring model needs to be updated. This study aimed to evaluate the clinical value of the operator-CTO score in predicting the outcome of interventional therapy for chronic total occlusion of the coronary artery. Methods. The data of 144 lesions in 130 patients with CTO were analyzed prospectively. The CTO procedures were performed by 10 operators with different skills and experiences. Before the procedures, J-CTO, progress, ORA, recharge, and operator-CTO scores were determined. Then, the clinical, imaging, and procedural data of patients in different operator-CTO score groups and between different operators were compared. The final focus was on comparing the predictive ability of each score on the outcome of CTO-PCI. Results. The overall technical and procedural success rates were 90.9% and 88.9%, respectively. A decreasing trend in the technical success of CTO-PCI was observed according to the operator-CTO score hierarchy of “easy (≤2 points), moderate (3 points), difficult (4 points), and extremely difficult (≥5 points)” (99.0%, 87.5%, 53.8%, and 25.0%, respectively). All five scoring models were well calibrated, and the area under the curve (AUC) for the operator-CTO score was 0.901 (95% CI: 0.821–0.982, P < 0.01 ), larger than the AUC for the remaining four scoring models, showing excellent ability to predict technical outcomes. Conclusion. The operator-CTO score is a new clinical scoring tool that can predict the outcome of CTO-PCI and can be used to grade the difficulty of the procedure, with the potential to work well with a broad group of operators.
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Nastic, Aleksandar, Miroslav Ristic, and Ana Janjic. "A mixed thinning based geometric INAR(1) model." Filomat 31, no. 13 (2017): 4009–22. http://dx.doi.org/10.2298/fil1713009n.
Повний текст джерелаАнотація:
In this article a geometrically distributed integer-valued autoregressive model of order one based on the mixed thinning operator is introduced. This new thinning operator is defined as a probability mixture of two well known thinning operators, binomial and negative binomial thinning. Some model properties are discussed. Method of moments and the conditional least squares are considered as possible approaches in model parameter estimation. Asymptotic characterization of the obtained parameter estimators is presented. The adequacy of the introduced model is verified by its application on a certain kind of real-life counting data, while its performance is evaluated by comparison with two other INAR(1) models that can be also used over the observed data.
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Khan, Zahid Akhtar, Irfan Anjum Badruddin magami, Suresh Maniyan, and Gulam Abdul Quadir. "A simplified thermal model for a clothed human operator with thermoregulation." IIUM Engineering Journal 8, no. 1 (September 29, 2010): 1–18. http://dx.doi.org/10.31436/iiumej.v8i1.84.
Повний текст джерелаАнотація:
This paper presents a simplified yet comprehensive mathematical model to predict steady state temperature distribution for various regions of male clothed human operators who are healthy, passive/active and lean/obese under the influence of different environmental conditions using thermoregulatory control concept. The present model is able to predict the core temperature, close to 37oC for a healthy, passive/active and lean/obese operator at normal ambient temperatures. It is observed that due to increase in body fat, BF the skin temperature, of the operator decreases by a small amount. However, effect of age of the operator on is found to be insignificant. The present model has been validated against the experimental data available in the literature.
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Arderi, Ruben, Aaron Chough, Simon Kronschnabel, Melanie Rigoni, and Vikram Mittal. "Hyper-Enabled Operator: Situational Awareness as Armor." Industrial and Systems Engineering Review 8, no. 1 (March 6, 2021): 43–49. http://dx.doi.org/10.37266/iser.2020v8i1.pp43-49.
Повний текст джерелаАнотація:
The Hyper-Enabled Operator (HEO) project seeks to increase the survivability of special forces operators through increased situational awareness (SA) capabilities. The precursor to HEO was the Tactical Assault Light Operator Suit (TALOS) which sought to protect operators during room clearing operations by increasing their armor coverage. This study used combat modeling to compare the benefits of HEO to TALOS. This project developed four base models, each based on a relevant mission set. Each base model was compared against two variant models. The first variant provided the operators with enhanced SA. The second variant increased operator armor coverage without a performance degradation from increased weight. For some scenarios the incorporation of SA increased survivability more than a large increase in armor. Further, the study found that enhancing SA increases survivability by 8.3% on average for the four mission sets; this increase is similar to increasing armor coverage by a factor of four.
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Dougherty, Edward R. "A Nonmathematical Review of Optimal Operator and Experimental Design for Uncertain Scientific Models with Application to Genomics." Current Genomics 20, no. 1 (February 27, 2019): 16–23. http://dx.doi.org/10.2174/1389202919666181213095743.
Повний текст джерелаАнотація:
Introduction: The most basic aspect of modern engineering is the design of operators to act on physical systems in an optimal manner relative to a desired objective – for instance, designing a control policy to autonomously direct a system or designing a classifier to make decisions regarding the system. These kinds of problems appear in biomedical science, where physical models are created with the intention of using them to design tools for diagnosis, prognosis, and therapy. Methods: In the classical paradigm, our knowledge regarding the model is certain; however, in practice, especially with complex systems, our knowledge is uncertain and operators must be designed while taking this uncertainty into account. The related concepts of intrinsically Bayesian robust operators and optimal Bayesian operators treat operator design under uncertainty. An objective-based experimental design procedure is naturally related to operator design: We would like to perform an experiment that maximally reduces our uncertainty as it pertains to our objective. Results & Discussion: This paper provides a nonmathematical review of optimal Bayesian operators directed at biomedical scientists. It considers two applications important to genomics, structural intervention in gene regulatory networks and classification. Conclusion: The salient point regarding intrinsically Bayesian operators is that uncertainty is quantified relative to the scientific model, and the prior distribution is on the parameters of this model. Optimization has direct physical (biological) meaning. This is opposed to the common method of placing prior distributions on the parameters of the operator, in which case there is a scientific gap between operator design and the phenomena.
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Abdulghafor, Rawad, Hamad Almohamedh, Badr Almutairi, Sharyar Wani, Abdullah Alharbi, Sulaiman Sulmi Almutairi, and Sultan Almotairi. "EDSQ Operator on 2DS and Limit Behavior." Symmetry 12, no. 5 (May 16, 2020): 820. http://dx.doi.org/10.3390/sym12050820.
Повний текст джерелаАнотація:
This paper evaluates the limit behavior for symmetry interactions networks of set points for nonlinear mathematical models. Nonlinear mathematical models are being increasingly applied to most software and engineering machines. That is because the nonlinear mathematical models have proven to be more efficient in processing and producing results. The greatest challenge facing researchers is to build a new nonlinear model that can be applied to different applications. Quadratic stochastic operators (QSO) constitute such a model that has become the focus of interest and is expected to be applicable in many biological and technical applications. In fact, several QSO classes have been investigated based on certain conditions that can also be applied in other applications such as the Extreme Doubly Stochastic Quadratic Operator (EDSQO). This paper studies the behavior limitations of the existing 222 EDSQ operators on two-dimensional simplex (2DS). The created simulation graph shows the limit behavior for each operator. This limit behavior on 2DS can be classified into convergent, periodic, and fixed.
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Panigoro, Hasan S., Agus Suryanto, Wuryansari Muharini Kusumawinahyu, and Isnani Darti. "A Rosenzweig–MacArthur Model with Continuous Threshold Harvesting in Predator Involving Fractional Derivatives with Power Law and Mittag–Leffler Kernel." Axioms 9, no. 4 (October 22, 2020): 122. http://dx.doi.org/10.3390/axioms9040122.
Повний текст джерелаАнотація:
The harvesting management is developed to protect the biological resources from over-exploitation such as harvesting and trapping. In this article, we consider a predator–prey interaction that follows the fractional-order Rosenzweig–MacArthur model where the predator is harvested obeying a threshold harvesting policy (THP). The THP is applied to maintain the existence of the population in the prey–predator mechanism. We first consider the Rosenzweig–MacArthur model using the Caputo fractional-order derivative (that is, the operator with the power-law kernel) and perform some dynamical analysis such as the existence and uniqueness, non-negativity, boundedness, local stability, global stability, and the existence of Hopf bifurcation. We then reconsider the same model involving the Atangana–Baleanu fractional derivative with the Mittag–Leffler kernel in the Caputo sense (ABC). The existence and uniqueness of the solution of the model with ABC operator are established. We also explore the dynamics of the model with both fractional derivative operators numerically and confirm the theoretical findings. In particular, it is shown that models with both Caputo operator and ABC operator undergo a Hopf bifurcation that can be controlled by the conversion rate of consumed prey into the predator birth rate or by the order of fractional derivative. However, the bifurcation point of the model with the Caputo operator is different from that of the model with the ABC operator.
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Yamagishi, O. "An alternative expression for ad hoc field collision model." Physics of Plasmas 29, no. 10 (October 2022): 102507. http://dx.doi.org/10.1063/5.0104611.
Повний текст джерелаАнотація:
An alternative form of ad hoc collision model to the Fokker–Planck field collision operator is proposed. The model is so constructed that the results of exact Fokker–Planck field collision, applied to the low-order Legendre and associated Laguerre polynomials, are used to impose self-adjointness first and then collisional conservation laws. The model is shown to be actually identical to the conventional ad hoc model in the l = 0 and 1 parts in Legendre polynomial expansion in an isothermal case, while it is not limited to extend to the higher order, in contrast to the conventional ad hoc model, in which the collisional conservation laws are imposed primarily, using the exact test collision form of the Fokker–Planck operator. Furthermore, it is discussed that the proposed model is identified to the lowest order in an expansion of formal Hirshman–Sigmar operator, while there is a difference between the formal and conventional Hirshman–Sigmar operators. Numerical examples demonstrate that the proposed model can yield comparable results to those by the exact Fokker–Planck and conventional Hirshman–Sigmar operators.
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Huang, Xing, and Binchao Zhang. "Growth of a Renormalized Operator as a Probe of Chaos." Advances in High Energy Physics 2022 (October 10, 2022): 1–8. http://dx.doi.org/10.1155/2022/9216427.
Повний текст джерелаАнотація:
We propose that the size of an operator evolved under holographic renormalization group flow shall grow linearly with the scale and interpret this behavior as a manifestation of the saturation of the chaos bound. To test this conjecture, we study the operator growth in two different toy models. The first one is a MERA-like tensor network built from a random unitary circuit with the operator size defined using the integrated out-of-time-ordered correlator (OTOC). The second model is an error-correcting code of perfect tensors, and the operator size is computed using the number of single-site physical operators that realize the logical operator. In both cases, we observe linear growth.
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Waseem, Neha, Muhammad Akram, and José Carlos R. Alcantud. "Multi-Attribute Decision-Making Based on m-Polar Fuzzy Hamacher Aggregation Operators." Symmetry 11, no. 12 (December 10, 2019): 1498. http://dx.doi.org/10.3390/sym11121498.
Повний текст джерелаАнотація:
In this paper, we introduce certain aggregation operators, namely, the m-polar fuzzy (mF) Hamacher weighted average operator, mF Hamacher ordered weighted average (mFHOWA) operator, mF Hamacher hybrid average (mFHHA) operator, mF Hamacher weighted geometric (mFHWG) operator, mF Hamacher weighted ordered geometric operator, and mF Hamacher hybrid geometric (mFHHG) operator. We discuss some properties of these operators, inclusive of their ability to implement both symmetric and asymmetric treatments of the items. We develop an algorithmic model to solve multi-attribute decision-making (MADM) problems in mF environment using mF Hamacher weighted average operator (mFHWA) and mFHWG operators. They can compensate for the possible asymmetric roles of the attributes that describe the problem. In the end, to prove the validity and feasibility of the proposed work, we give applications for selecting the most affected country regarding human trafficking, selecting health care waste treatment methods and selecting the best company for investment. We also solve practical MADM problems by using ELECTRE-I method, and give a comparative analysis.
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Zeng, Xiaodan, Xiaoqing Tan, Qingshan Xu, and Rui Huang. "Blind quantum computation with hybrid model." International Journal of Modern Physics B 34, no. 29 (October 27, 2020): 2050277. http://dx.doi.org/10.1142/s021797922050277x.
Повний текст джерелаАнотація:
Blind quantum computation (BQC) allows a client who has a few quantum abilities to interact and delegate her quantum computation to a server that has strong quantum computabilities, while the server learns nothing about client’s quantum inputs, algorithms, and outputs. In this article, a new BQC protocol with hybrid model is proposed, using the combination of rotation operators to construct arbitrary quantum gate. Our BQC protocol is divided into two phases. In the first phase, a new kind of function operation is designed and defined, that is, the client sends the classical message [Formula: see text] to the server and then the sever performs a corresponding function operation [Formula: see text], which has been defined. In the second phase, a rotation operator or identity operator is implemented by quantum gate teleportation where the server can’t know which quantum gate has been teleported. Combining these two phases, the server has no idea about client’s quantum algorithms. When the server performs the corresponding operation honestly, the client only needs to perform [Formula: see text] and [Formula: see text] operators.
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Meng, Wei, Daoli Yang, and Hui Huang. "Prediction of China’s Sulfur Dioxide Emissions by Discrete Grey Model with Fractional Order Generation Operators." Complexity 2018 (2018): 1–13. http://dx.doi.org/10.1155/2018/8610679.
Повний текст джерелаАнотація:
Sulfur dioxide is an important source of atmospheric pollution. Many countries are developing policies to reduce sulfur dioxide emissions. In this paper, a novel prediction model is proposed, which could be used to forecast sulfur dioxide emissions. To improve the modeling procedure, fractional order accumulating generation operator and fractional order reducing generation operator are introduced. Based on fractional order operators, a discrete grey model with fractional operators is developed, which also makes use of genetic algorithms to optimize the modeling parameter r. The improved performance of the model is demonstrated via comparison studies with other grey models. The model is then used to predict China’s sulfur dioxide emissions. The forecast result shows that the amount of sulfur dioxide emissions is steadily decreasing and the policies of sulfur dioxide reduction in China are effective. According to the current trend, by 2020, the value of China’s sulfur dioxide emissions will be only 86.843% of emissions in 2015. Fractional order generation operators can be used to develop other fractional order system models.
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Strauss, V. A. "Models of Self-Adjoint and Unitary Operators in Pontryagin Spaces." Contemporary Mathematics. Fundamental Directions 68, no. 3 (September 8, 2022): 522–52. http://dx.doi.org/10.22363/2413-3639-2022-68-3-522-552.
Повний текст джерелаАнотація:
This paper represents a revised version of the lectures, delivered by the author at KROMSH-2019. These lectures are devoted to describing a few different ways of constructing a model representation for self-adjoint and unitary operators acting in Pontryagin spaces, and a comparison between them. Two of these models are based on the regularized integral Krein-Langer representation of a numerical sequence generated by the powers of a self-adjoint (in the sense of Pontryagin spaces) operator. The steps to deduce both this representation and the spectral function of the corresponding operator are given. In both models (first of which belongs to the author of this paper), the operator is realized as an operator of multiplication by an independent variable, but the space of functions in which it acts is different for each of the models. The third model, introduced by V. S. Shulman, is based on his own concept of a quasi-vector.
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Wang, Na, and Ke Wu. "Vertex operators, t-boson model and weighted plane partitions in finite boxes." Modern Physics Letters B 32, no. 05 (February 20, 2018): 1850061. http://dx.doi.org/10.1142/s0217984918500616.
Повний текст джерелаАнотація:
We consider two different subjects: the algebra of Hall–Littlewood functions and t-boson model. Tsilevich and Sułkowski, respectively, give that the creation operator [Formula: see text] in the monodromy matrix of t-boson model can be represented by [Formula: see text], where [Formula: see text] and [Formula: see text] are vertex operators closely related to the Hall–Littlewood functions. In this paper, we obtain that the annihilation operator [Formula: see text] in the monodromy matrix and other relations of t-boson model can also be realized in the algebra of Hall–Littlewood functions. Meanwhile, we get that the generating functions of weighted plane partitions in finite boxes can be obtained from the operators [Formula: see text].
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KHVESHCHENKO, D. V. "ON EXACT BOSONIZATION OF THE CALOGERO-SUTHERLAND MODEL." International Journal of Modern Physics B 09, no. 13n14 (June 30, 1995): 1639–46. http://dx.doi.org/10.1142/s0217979295000707.
Повний текст джерелаАнотація:
We elaborate on an algebraic method of a momentum space bosonization of exactly solvable one-dimensional models in the framework of the Calogero-Sutherland model. The approach provides an exact representation of the local field operator of the Calogero-Sutherland model in terms of quasiparticle eigenstate’s creation-annihilation operators and furnishes a simple method to compute exact correlation functions.
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Field, R. D., C. Risi, G. A. Schmidt, J. Worden, A. Voulgarakis, A. N. LeGrande, A. H. Sobel, and R. J. Healy. "A Tropospheric Emission Spectrometer HDO/H<sub>2</sub>O retrieval simulator for climate models." Atmospheric Chemistry and Physics 12, no. 21 (November 12, 2012): 10485–504. http://dx.doi.org/10.5194/acp-12-10485-2012.
Повний текст джерелаАнотація:
Abstract. Retrievals of the isotopic composition of water vapor from the Aura Tropospheric Emission Spectrometer (TES) have unique value in constraining moist processes in climate models. Accurate comparison between simulated and retrieved values requires that model profiles that would be poorly retrieved are excluded, and that an instrument operator be applied to the remaining profiles. Typically, this is done by sampling model output at satellite measurement points and using the quality flags and averaging kernels from individual retrievals at specific places and times. This approach is not reliable when the model meteorological conditions influencing retrieval sensitivity are different from those observed by the instrument at short time scales, which will be the case for free-running climate simulations. In this study, we describe an alternative, "categorical" approach to applying the instrument operator, implemented within the NASA GISS ModelE general circulation model. Retrieval quality and averaging kernel structure are predicted empirically from model conditions, rather than obtained from collocated satellite observations. This approach can be used for arbitrary model configurations, and requires no agreement between satellite-retrieved and model meteorology at short time scales. To test this approach, nudged simulations were conducted using both the retrieval-based and categorical operators. Cloud cover, surface temperature and free-tropospheric moisture content were the most important predictors of retrieval quality and averaging kernel structure. There was good agreement between the δD fields after applying the retrieval-based and more detailed categorical operators, with increases of up to 30‰ over the ocean and decreases of up to 40‰ over land relative to the raw model fields. The categorical operator performed better over the ocean than over land, and requires further refinement for use outside of the tropics. After applying the TES operator, ModelE had δD biases of −8‰ over ocean and −34‰ over land compared to TES δD, which were less than the biases using raw model δD fields.
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Ingram, R., C. C. Manica, N. Mays, and I. Stanculescu. "Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation." Advances in Numerical Analysis 2012 (September 27, 2012): 1–32. http://dx.doi.org/10.1155/2012/162539.
Повний текст джерелаАнотація:
We present a general theory for regularization models of the Navier-Stokes equations based on the Leray deconvolution model with a general deconvolution operator designed to fit a few important key properties. We provide examples of this type of operator, such as the (modified) Tikhonov-Lavrentiev and (modified) Iterated Tikhonov-Lavrentiev operators, and study their mathematical properties. An existence theory is derived for the family of models and a rigorous convergence theory is derived for the resulting algorithms. Our theoretical results are supported by numerical testing with the Taylor-Green vortex problem, presented for the special operator cases mentioned above.
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Mengestie, Tesfa. "Volterra Type Integral Operators and Composition Operators on Model Spaces." Journal of Function Spaces 2015 (2015): 1–6. http://dx.doi.org/10.1155/2015/467802.
Повний текст джерелаАнотація:
We study some mapping properties of Volterra type integral operators and composition operators on model spaces. We also discuss and give out a couple of interesting open problems in model spaces where any possible solution of the problems can be used to study a number of other operator theoretic related problems in the spaces.