{"title":"Fibonacci Harmonics: A New Mathematical Model of Synchronicity","authors":"R. Sacco","doi":"10.4236/AM.2018.96048","DOIUrl":"https://doi.org/10.4236/AM.2018.96048","url":null,"abstract":"This article aims to provide a brief overview of the relevance of new findings \u0000about the Fibonacci Life Chart Method (FLCM) for understanding synchronicity. \u0000The FLCM is reviewed first, including an exposition of the golden section \u0000model, and elaboration of a new harmonic model. The two models are \u0000then compared to illuminate several strengths and weaknesses in connection \u0000with the following four major criteria regarding synchronicity: explanatory \u0000adequacy; predictability of future synchronicities; simplicity of the model; and \u0000generalizability to other branches of knowledge. The review indicates that \u0000both models appear capable of simulating nonlinear and fractal dynamics. \u0000Hybrid approaches that combine both models are feasible and necessary for \u0000projects that aim to experimentally address synchronicity.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84486112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Forced Vibration Numerical Analysis of Rectangular Elastic Orthotropic Damped Inclined Mindlin Plate Using Finite Difference Algorithm","authors":"M. Agarana, A. I. Ehigbochie","doi":"10.4236/am.2018.96043","DOIUrl":"https://doi.org/10.4236/am.2018.96043","url":null,"abstract":"Plates vibrate when load moves on them. In this paper, the dynamic response of Mindlin plate analytical model was converted to its numerical form using finite difference algorithm. The numerical model was analysed to ascertain the critical parameters contributing to the deflection of Mindlin plate under a moving load. The examination was more reasonable as in the likelihood of the plate laying on a Pasternak foundation was put into thought. Likewise the impact of damping was not dismissed. The plate considered in this paper was an inclined Mindlin plate, where the impacts of shear deformation and rotatory inertia were considered. The numerical equations were solved with the help of a developed computer program and Matlab. The results were consistent with what we have in the literature. The effects of the Pasternak foundation, damping, angle of inclination, and the moving load to the dynamic response of the elastic plate were exceptionally self-evident.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89753171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Samia Chiban, A. Awad, A. Wazzan, Hanan Sheikh-Youssef
{"title":"Fuzzy Framework of Health Risk Assessment of Nitrates in Groundwater","authors":"Samia Chiban, A. Awad, A. Wazzan, Hanan Sheikh-Youssef","doi":"10.4236/am.2018.96041","DOIUrl":"https://doi.org/10.4236/am.2018.96041","url":null,"abstract":"This study provides a characterization of potential health risk associated with \u0000groundwater Nitrates in Akkar plain in Taturs governorate in Syria. Six villages \u0000were chosen for Nitrates analysis in artesian wells. The results show that \u0000Nitrates concentrations are above the natural level but still below the level of \u0000water potability and measures have to be taken to prevent Nitrates accumulation \u0000in groundwater. Comparing Nitrates dose in young children diet with \u0000reference dose and calculating the hazard index give the noncarcinogenic risk \u0000(Methemoglobinemia). Carcinogenic risk of drinking well waters with Nitrates \u0000is calculated in a probabilistic-fuzzy framework. The role of Bacterial \u0000contamination of water and its association with Nitrates pollution is discussed \u0000and we found that the two pollutants are not correlated in Akkar plain, because \u0000Nitrates come principally from fertilizers in this area while fecal coliforms \u0000come from landfill leachates and untreated wastewaters. Nitrates and \u0000FC play associated roles in gastro-intestinal disturbance and Methemoglobinemia.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91181378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Research of Enterprise Storage Ecosystem Based on Storage Theory and Nonlinear Discrete Optimization","authors":"Zixin Lu, Jiaqi Zhu, Y. Gui","doi":"10.4236/AM.2018.96051","DOIUrl":"https://doi.org/10.4236/AM.2018.96051","url":null,"abstract":"Warehousing and transferring strategies are an important part of business \u0000operations. The issue of optimal warehousing and transferring strategy is studied \u0000in this paper. Wal-Mart in Wuhan serves as an example to establish a (s, S) random storage strategy model, a Markov chain model, and a nonlinear \u0000discrete programming model, aiming at maximizing the profit per cycle of \u0000every branch and further maximizing the company’s total profit per cycle. \u0000Among them, the random storage strategy model establishes a security zone \u0000of inventory for every branch, that is, it can meet consumers’ demand without \u0000spending too much storage costs. The Markov chain model is used to get the \u0000probability of losing sales opportunities in every branch. The nonlinear discrete \u0000programming model takes into account the horizontal transferring \u0000among branches, which further maximizes the company’s overall profit expectations. \u0000The three models above can be used to formulate inventory strategies, \u0000assess risks, and provide advice for every branch in order to form a complete \u0000storage ecosystem and provide constructive suggestions for the company’s \u0000operations.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82888096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Anomaly Detection of Store Cash Register Data Based on Improved LOF Algorithm","authors":"Kelin Long, Yuhang Wu, Y. Gui","doi":"10.4236/am.2018.96049","DOIUrl":"https://doi.org/10.4236/am.2018.96049","url":null,"abstract":"As the cash register system gradually prevailed in shopping malls, detecting \u0000the abnormal status of the cash register system has gradually become a hotspot \u0000issue. This paper analyzes the transaction data of a shopping mall. When \u0000calculating the degree of data difference, the coefficient of variation is used as \u0000the attribute weight; the weighted Euclidean distance is used to calculate the \u0000degree of difference; and k-means clustering is used to classify different time \u0000periods. It applies the LOF algorithm to detect the outlier degree of transaction \u0000data at each time period, sets the initial threshold to detect outliers, deletes \u0000the outliers, and then performs SAX detection on the data set. If it does \u0000not pass the test, then it will gradually expand the outlying domain and repeat \u0000the above process to optimize the outlier threshold to improve the sensitivity \u0000of detection algorithm and reduce false positives.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90474000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Mathematical Model for Nutrient Metabolic Chemistry","authors":"D. Drew","doi":"10.4236/am.2018.96045","DOIUrl":"https://doi.org/10.4236/am.2018.96045","url":null,"abstract":"A model based on chemical kinetics for the rate of utilization and/or storage of carbohydrates, fats and proteins is derived and analyzed. This system is studied under different conditions of supply and usage and for short term dynamics and long term dynamics. Both the short term and long term models indicate that starting above an equilibrium threshold leads to growth of the stored species. Results from the short-term and long-term submodels show that the qualitative behavior depends on the levels of certain enzymes. The analysis of a model for enzyme dynamics indicates that the steady-state level of an enzyme should depend on the rate of supply of the substrate.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76507197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimizing Movement of Students from Hostels to Lecture Rooms in a Potential World Class University Using Transportation Model","authors":"M. Agarana, A. Udoh, A. I. Ehigbochie","doi":"10.4236/am.2018.96044","DOIUrl":"https://doi.org/10.4236/am.2018.96044","url":null,"abstract":"Transportation issue is one of the significant zones of utilization of Linear \u0000Programming Model. In this paper, transportation model is utilized to decide \u0000an ideal answer for the transportation issue in a run of the mill world class \u0000university utilizing Covenant University as a contextual analysis. Covenant \u0000University is a potential world class University. The quick development of \u0000Covenant University Campus over the most recent fourteen years affects its \u0000transportation framework. This paper particularly takes a gander at streamlining \u0000the time spent by the students moving from their lodgings to lecture \u0000rooms. Google guide was utilized to figure the separation and time between \u0000every cause and every goal. North-west corner technique, Least Cost strategy \u0000and Vogel’s estimation technique were utilized to decide the underlying fundamental \u0000plausible arrangement (initial feasible solution) and MODI strategy \u0000was utilized to locate the ideal arrangement (optimal solution). The last outcome \u0000demonstrates that the development of understudies from hostel to lecture \u0000rooms can be streamlined if the total time spent is decreased.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89492895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Poisson Solver Based on Iterations on a Sylvester System","authors":"Michael Franklin, A. Nadim","doi":"10.4236/AM.2018.96052","DOIUrl":"https://doi.org/10.4236/AM.2018.96052","url":null,"abstract":"We present an iterative scheme for solving Poisson’s equation in 2D. Using finite differences, we discretize the equation into a Sylvester system, AU +UB = F, involving tridiagonal matrices A and B. The iterations occur on this Sylvester system directly after introducing a deflation-type parameter that enables optimized convergence. Analytical bounds are obtained on the spectral radii of the iteration matrices. Our method is comparable to Successive Over-Relaxation (SOR) and amenable to compact programming via vector/array operations. It can also be implemented within a multigrid framework with considerable improvement in performance as shown herein.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90746772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Mathematical Model of Multi-Hop HF Radio Propagation","authors":"Yaru Chen, L. Han, Junrun Huang, Y. Gui","doi":"10.4236/AM.2018.96054","DOIUrl":"https://doi.org/10.4236/AM.2018.96054","url":null,"abstract":"It is an eternal topic to study the minimum loss under the maximum transmission \u0000distance and the practicality of radio propagation in the navigation of \u0000ships. The transmission loss by dividing it to Median medium attenuation and \u0000Media attenuation correction factor is discussed. The Longley-Rice Model is \u0000introduced and improved; the correlation proportion of our model is work \u0000out. Then the reflection correction factor is calculated in the case of silent and \u0000turbulent ocean, which comes to the total loss and strength of the first reflection. \u0000The signal to noise ratio is explained and the relationship between various \u0000angle of incidence and correction factor are explored. According to fixed \u0000signal to noise ratio 14, the highest bounce frequency is got.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88530218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Inertial Manifold for Class Kirchhoff-Type Equations with Strongly Damped Terms and Source Terms","authors":"Guoguang Lin, X. Xia","doi":"10.4236/am.2018.96050","DOIUrl":"https://doi.org/10.4236/am.2018.96050","url":null,"abstract":"In this paper, we study the inertial manifolds for a class of the Kirchhoff-type \u0000equations with strongly damped terms and source terms. The inertial manifold \u0000is a finite dimensional invariant smooth manifold that contains the global \u0000attractor, attracting the solution orbits by the exponential rate. Under appropriate \u0000assumptions, we firstly exert the Hadamard’s graph transformation \u0000method to structure a graph norm of a Lipschitz continuous function, and \u0000then we prove the existence of the inertial manifold by showing that the spectral \u0000gap condition is true.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77357625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}