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Terry Tinyau Wong - One of the best experts on this subject based on the ideXlab platform.

Christopher A. Monk - One of the best experts on this subject based on the ideXlab platform.

  • Comprehension of Arithmetic word problems: A comparison of successful and unsuccessful problem solvers.
    Journal of Educational Psychology, 1995
    Co-Authors: Mary Hegarty, Richard E. Mayer, Christopher A. Monk
    Abstract:

    It is proposed that when solving an Arithmetic word problem, unsuccessful problem solvers base their solution plan on numbers and keywords that they select from the problem (the direct translation strategy), whereas successful problem solvers construct a model of the situation described in the problem and base their solution plan on this model (the problemmodel strategy). Evidence for this hypothesis was obtained in 2 experiments. In Experiment 1, the eye fixations of successful and unsuccessful problem solvers on words and numbers in the problem statement were compared. In Experiment 2, the degree to which successful and unsuccessful problem solvers remember the meaning and exact wording of word problems was examined. Why are some students successful in solving word problems whereas others are unsuccessful? To help answer this question, we begin with the well-established observation that many students from kindergarten through adulthood have difficulty in solving Arithmetic word problems that contain relational statements, that is, sentences that express a numerical relation between two variables (Hegarty, Mayer, & Green, 1992; Lewis & Mayer, 1987; Riley, Greeno, & Heller, 1983; Verschaffel, De Corte, & Pauwels, 1992). For example, Appendix A shows a successful and an unsuccessful solution to a two-step word problem containing a relational statement about the price of butter at two stores. We refer to this as an inconsistent version of the problem because the relational keyword (e.g., "less") primes an inappropriate Arithmetic Operation (subtraction rather than addition), whereas in a consistent problem, the relational term in the second problem statement primes the required Arithmetic Operation (e.g., "more" when the required Operation is addition). A substantial proportion of college students, who could be called unsuccessful problem solvers, use the wrong Arithmetic Operation on inconsistent problems but perform correctly on consistent problems (Hegarty et al., 1992; Lewis, 1989; Lewis & Mayer, 1987; Verschaffel et al., 1992). We interpret this finding as evidence that problem comprehension processes play an important role in the solution of Arithmetic word problems.

Ping Guo - One of the best experts on this subject based on the ideXlab platform.

  • Signed Numbers Arithmetic Operation in Multi-Membrane
    2009 First International Conference on Information Science and Engineering, 2009
    Co-Authors: Ping Guo, Minghong Luo
    Abstract:

    P - systems are computing models, where certain objects can evolve in parallel into a hierarchical membrane structure. Recent results show that this model is a promising framework for solving NP- complete problems in polynomial time. The present paper considers the possibility to perform Operations with signed numbers in a P - system. All four Arithmetical Operations are implemented in a way which seems to have a lower complexity than when implementing them in usual Computer Architecture.

  • Arithmetic Operation in single membrane
    Computer Science and Software Engineering, 2008
    Co-Authors: Ping Guo, Haiyan Zhang
    Abstract:

    Membrane system is a computing model which imitates natural process at cellular level. In this system all objects can evolve in a maximal parallelism and distributed manner. It is an unconventional computing model, many hard computational problems have been investigated recently. However, simple computer Operations, such as basic Arithmetic Operations, have not been addressed much. This paper gives a more effective method to implement Arithmetic Operations. It uses only one membrane and easy rules, and the output result can be easily used as the input for further Operations.

  • Arithmetic Operation in membrane system
    BioMedical Engineering and Informatics, 2008
    Co-Authors: Ping Guo, Jing Chen
    Abstract:

    Membrane system is a computing model which imitates natural process at cellular level. In this system all objects can evolve in a maximal parallelism and distributed manner. Recent results show that this model is a promising framework for solving NP-complete problems in polynomial time. The paper proves the possibility to perform Operations with integer numbers in a membrane system, and gives an effective method to implement Arithmetic Operations, which seems to have a lower complexity than when implementing them in usual computer architecture.

  • CSSE (3) - Arithmetic Operation in Single Membrane
    2008 International Conference on Computer Science and Software Engineering, 2008
    Co-Authors: Ping Guo, Haiyan Zhang
    Abstract:

    Membrane system is a computing model which imitates natural process at cellular level. In this system all objects can evolve in a maximal parallelism and distributed manner. It is an unconventional computing model, many hard computational problems have been investigated recently. However, simple computer Operations, such as basic Arithmetic Operations, have not been addressed much. This paper gives a more effective method to implement Arithmetic Operations. It uses only one membrane and easy rules, and the output result can be easily used as the input for further Operations.

  • BMEI (1) - Arithmetic Operation in Membrane System
    2008 International Conference on BioMedical Engineering and Informatics, 2008
    Co-Authors: Ping Guo, Jing Chen
    Abstract:

    Membrane system is a computing model which imitates natural process at cellular level. In this system all objects can evolve in a maximal parallelism and distributed manner. Recent results show that this model is a promising framework for solving NP-complete problems in polynomial time. The paper proves the possibility to perform Operations with integer numbers in a membrane system, and gives an effective method to implement Arithmetic Operations, which seems to have a lower complexity than when implementing them in usual computer architecture.

Michael Beer - One of the best experts on this subject based on the ideXlab platform.

  • non probabilistic uncertainty quantification for dynamic characterization functions using complex ratio interval Arithmetic Operation of multidimensional parallelepiped model
    Mechanical Systems and Signal Processing, 2021
    Co-Authors: Mengyun Zhao, Wangji Yan, Kaveng Yuen, Michael Beer
    Abstract:

    Abstract Uncertainty quantification for the experimental estimations of dynamic characterization functions, including frequency response functions (FRFs) and transmissibility functions (TFs), is of practical importance in improving the robustness of the real applications of these functions for system identification and structural health monitoring. Interval analysis is an appealing tool for dealing with the uncertainties of engineering problems in which only the bounds of uncertain parameters are available. FRFs and TFs are complex-valued random variables. However, due to the negligence of the dependencies of complex-valued variables, the existing complex ratio interval Arithmetic Operation can be overly conservative. In this study, the polar representation of complex ratio numbers was extended to complex ratio polar intervals and a multidimensional parallelepiped (MP) interval model was introduced to accommodate the dependence between the numerator and the denominator. Based on the explicit expressions of the MP model through a dependence matrix, two new global extrema searching schemes with and without the regularization of the uncertainty domain of the MP model were proposed in order to derive the explicit formulas of the upper and lower bounds of the magnitudes and phases of the FRFs and TFs. The new schemes were then applied to the uncertainty propagation for a numerically simulated beam and a bridge subjected to a single excitation. The results showed that the interval overestimation problem could be significantly alleviated by using the new complex-valued ratio interval Arithmetic Operation of the parallelepiped model.

D. Helen - One of the best experts on this subject based on the ideXlab platform.

  • New Arithmetic Operations in Inverse of Triskaidecagonal Fuzzy Number Using Alpha Cut
    Advances in Intelligent Systems and Computing, 2017
    Co-Authors: A. Rajkumar, D. Helen
    Abstract:

    The main target of the paper is to introduce the square root and inverse of new fuzzy number called triskaidecagonal fuzzy number. This new approach deals with lexical scale values and also includes basic Arithmetic Operations of its inverse by means of alpha cut. It follows with the definitions. The next section proceeds with square root of triskaidecagonal fuzzy number and its linguistic values and Arithmetic Operation for inverse fuzzy number. This inverse Operation can apply in various fields with 13 parameters. Finally, the paper ends with reference and conclusion.

  • New Arithmetic Operations of Triskaidecagonal Fuzzy Number Using Alpha Cut
    Advances in Intelligent Systems and Computing, 2017
    Co-Authors: A. Rajkumar, D. Helen
    Abstract:

    The main target of the paper is to introduce the new fuzzy number called Triskaidecagonal fuzzy number with linguistics values and also includes basic Arithmetic Operations by means of alpha cut. Thus new Operation on Triskaidecagonal under uncertain lexical environment is being projected. It follows with the brief note on Triskaidecagonal. The next section proceeds with Triskaidecagonal fuzzy number and its linguistic values and Arithmetic Operation. Finally the paper ends with reference and conclusion.