Applied and Computational Mathematics

Volume 7, Issue 3, June 2018

  • On the Solution of a Optimal Control Problem for a Hyperbolic System

    Fatma Toyoğlu

    Issue: Volume 7, Issue 3, June 2018
    Pages: 75-82
    Received: Apr. 24, 2018
    Accepted: May 10, 2018
    Published: May 25, 2018
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    Abstract: In this study, the problem of determining the control function that is at the right hand side of a hyperbolic system from the final observation is investigated. Using the Fourier-Galerkin method, the weak solution of this hyperbolic system is obtained. The necessary conditions for the existence and uniqueness of the optimal solution are proved. We ... Show More
  • Urban Smart Growth Mathematical Model and Application

    Geng Liu, Xiao Han, Zhen Li

    Issue: Volume 7, Issue 3, June 2018
    Pages: 83-88
    Received: Jun. 25, 2018
    Accepted:
    Published: Jun. 26, 2018
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    Abstract: In view of urban sprawl brought about by urbanization development, this paper establishes a weighted comprehensive evaluation model to measure the city’s smart growth status. Bordeaux is selected as the research object, and relevant data are collected and processed. The data is then substituted into the established model to solve the problem. The r... Show More
  • Multidimensional Time Model for Probability Cumulative Function Applied to Geometrical Predictions

    Michael Fundator

    Issue: Volume 7, Issue 3, June 2018
    Pages: 89-93
    Received: Nov. 09, 2017
    Accepted: Feb. 08, 2018
    Published: Jul. 05, 2018
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    Abstract: Multidimensional Time Model for Probability Cumulative Function can be reduced to finite-dimensional time model, which can be characterized by Boolean algebra for operations over events and their probabilities and index set for reduction of infinite dimensional time model to finite number of dimensions of time model through application of Boolean p... Show More
  • Geometrical, Algebraic, Functional and Correlation Inequalities Applied in Support of James-Stein Estimator for Multidimensional Projections

    Michael Fundator

    Issue: Volume 7, Issue 3, June 2018
    Pages: 94-100
    Received: Nov. 09, 2017
    Accepted: Dec. 05, 2017
    Published: Jul. 05, 2018
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    Abstract: Isoperimetric, Milman reverse, Hilbert, Widder, Fan-Taussky-Todd, Landau, and Fortuin–Kasteleyn–Ginibre (FKG) inequalities in n dimensions in investigations of multidimensional estimators support the use of James-Stein estimator against classical least squares as applied to Cumulant Analysis, Associate Random Variables, and Time Series Analysis.
  • The Impacts of Climate Change on Regional Instability

    Geng Liu, Hao Sun, YuLan Zhang

    Issue: Volume 7, Issue 3, June 2018
    Pages: 101-111
    Received: Jul. 18, 2018
    Accepted:
    Published: Jul. 19, 2018
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    Abstract: The effects of Climate Change may have the potential to cause the weakening and breakdown of social and governmental structures. In this paper, we construct a fragile index evaluation model to determine the fragility of different countries and measure the impacts of Climate Change. In the first part, by selecting 10 indicators on economic, politica... Show More
  • Oscillations of Solutions of Neutral Nonlinear Differential Equations

    Jinyu Wang, Min Xi, Ailing Xiao

    Issue: Volume 7, Issue 3, June 2018
    Pages: 112-120
    Received: Jul. 18, 2018
    Accepted:
    Published: Jul. 19, 2018
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    Abstract: This paper aims to establish a new class of differential equations and study the oscillatory behavior of a kind of first-order neutral nonlinear differential equation with time delay arguments. The oscillatory properties of the solutions of the type of first order neutral functional differential equations applied in chemomedical problems are studie... Show More
  • A Forecast Model for Language Under the Influence of Immigration

    Geng Liu, Keai Yang, Zhuojun Yao

    Issue: Volume 7, Issue 3, June 2018
    Pages: 121-129
    Received: Jul. 18, 2018
    Accepted:
    Published: Jul. 19, 2018
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    Abstract: Under the influence of globalization, population distribution of different languages has become a matter of universal concern. In this paper, the mater is considered from three aspects. First of all, Gray Model is used to predict the number of second language speakers. Then, the influencing factors are taken into account to predict the number of ne... Show More
  • Airport Simulation Technology in Airport Planning, Design and Operating Management

    Xiong Li, Xiaoqing Chen

    Issue: Volume 7, Issue 3, June 2018
    Pages: 130-138
    Received: Jul. 18, 2018
    Accepted:
    Published: Jul. 19, 2018
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    Abstract: The promotion and application of airport simulation technology can help improve the soft power of China's civil aviation, and achieve the scientific assessment and refined decision-making for airport planning, construction and operating programs. This paper first sorted out the concepts and types of airport simulation, namely airport airside ground... Show More
  • Application of Classifiers in Predicting Problems of Hydropower Engineering

    Liming Huang, Yi Chen, Chunyong She, Yangfeng Wu, Shuai Zhang

    Issue: Volume 7, Issue 3, June 2018
    Pages: 139-145
    Received: Jul. 18, 2018
    Accepted:
    Published: Jul. 19, 2018
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    Abstract: It’s of vital importance to supervise hydropower engineering in order to make better use of water resources. To supervise it efficiently and effectively, it’s advisable to predict potential problems of hydropower engineering beforehand, after which the people concerned can inspect problems accordingly. Due to the complexity and large quantity of da... Show More
  • Breast Cancer Diagnosis Using Imbalanced Learning and Ensemble Method

    Tongan Cai, Hongliang He, Wenyu Zhang

    Issue: Volume 7, Issue 3, June 2018
    Pages: 146-154
    Received: Aug. 02, 2018
    Accepted:
    Published: Aug. 03, 2018
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    Abstract: Worldwide, breast cancer is one of the most threatening killers to mid-aged women. The diagnosis of breast cancer aims to classify spotted breast tumor to be Benign or Malignant. With recent developments in data mining technique, new model structures and algorithms are helping medical workers greatly in improving classification accuracy. In this st... Show More
  • An Explicit Algorithm for the Construction of 3-Band Wavelet Frames Based on FMRA

    Zhaofeng Li, Yuanyuan Zhang

    Issue: Volume 7, Issue 3, June 2018
    Pages: 155-160
    Received: Aug. 09, 2018
    Accepted:
    Published: Aug. 13, 2018
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    Abstract: In 1974, an French engineer, J. Morlet raised the concept of wavelet transform and established the inversion formula through the experience of physical intuition and signal processing and in 1986, the famous mathematician, Y. Meyer, created a real small wave base. From then on, Wavelet transform is a rapidly developing new subfield in mathematics a... Show More
  • The Application of Eigenvectors for the Construction of Minimum-Energy Wavelet Frames Based on FMRA

    Yuanyuan Zhang, Zhaofeng Li

    Issue: Volume 7, Issue 3, June 2018
    Pages: 161-166
    Received: Aug. 09, 2018
    Accepted:
    Published: Aug. 13, 2018
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    Abstract: In 1974, J. Morlet raised the concept of wavelet transform and established the inversion formula through the experience of physical intuition and signal processing. In 1986, Y. Meryer created a real small wave base, and the wavelet analysis began to flourish after a multi scale analysis of the same method of constructing the small wave base with S.... Show More
  • Axiomatization of Aristotelian Syllogistic Logic Based on Generalized Quantifier Theory

    Xiaojun Zhang

    Issue: Volume 7, Issue 3, June 2018
    Pages: 167-172
    Received: Aug. 09, 2018
    Accepted:
    Published: Aug. 13, 2018
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    Abstract: Syllogistic reasoning is important due to the prominence of syllogistic arguments in human reasoning, and also to the role they have played in theory of reasoning from Aristotle onwards. Aristotelian syllogistic logic is a formal study of the meaning of four Aristotelian quantifiers and of their properties. This paper focuses on logical system base... Show More
  • General Distance Energies and General Distance Estrada Index of Random Graphs

    Nan Gao

    Issue: Volume 7, Issue 3, June 2018
    Pages: 173-179
    Received: Aug. 09, 2018
    Accepted:
    Published: Aug. 13, 2018
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    Abstract: In 2000s, Gutman and Güngör introduced the concept of distance energy and the distance Estrada index for a simple graph G respectively. Moreover, many researchers established a large number of upper and lower bounds for these two invariants. But there are only a few graphs attaining the equalities of those bounds. In this paper, however, the exact ... Show More