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number</title> <meta name="description" content="Search results for: sunspot number"> <meta name="keywords" content="sunspot number"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler 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id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="sunspot number"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 10036</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: sunspot number</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10036</span> A Machine Learning Approach for Earthquake Prediction in Various Zones Based on Solar Activity</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Viacheslav%20Shkuratskyy">Viacheslav Shkuratskyy</a>, <a href="https://publications.waset.org/abstracts/search?q=Aminu%20Bello%20Usman"> Aminu Bello Usman</a>, <a href="https://publications.waset.org/abstracts/search?q=Michael%20O%E2%80%99Dea"> Michael O’Dea</a>, <a href="https://publications.waset.org/abstracts/search?q=Saifur%20Rahman%20Sabuj"> Saifur Rahman Sabuj</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper examines relationships between solar activity and earthquakes; it applied machine learning techniques: K-nearest neighbour, support vector regression, random forest regression, and long short-term memory network. Data from the SILSO World Data Center, the NOAA National Center, the GOES satellite, NASA OMNIWeb, and the United States Geological Survey were used for the experiment. The 23rd and 24th solar cycles, daily sunspot number, solar wind velocity, proton density, and proton temperature were all included in the dataset. The study also examined sunspots, solar wind, and solar flares, which all reflect solar activity and earthquake frequency distribution by magnitude and depth. The findings showed that the long short-term memory network model predicts earthquakes more correctly than the other models applied in the study, and solar activity is more likely to affect earthquakes of lower magnitude and shallow depth than earthquakes of magnitude 5.5 or larger with intermediate depth and deep depth. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=k-nearest%20neighbour" title="k-nearest neighbour">k-nearest neighbour</a>, <a href="https://publications.waset.org/abstracts/search?q=support%20vector%20regression" title=" support vector regression"> support vector regression</a>, <a href="https://publications.waset.org/abstracts/search?q=random%20forest%20regression" title=" random forest regression"> random forest regression</a>, <a href="https://publications.waset.org/abstracts/search?q=long%20short-term%20memory%20network" title=" long short-term memory network"> long short-term memory network</a>, <a href="https://publications.waset.org/abstracts/search?q=earthquakes" title=" earthquakes"> earthquakes</a>, <a href="https://publications.waset.org/abstracts/search?q=solar%20activity" title=" solar activity"> solar activity</a>, <a href="https://publications.waset.org/abstracts/search?q=sunspot%20number" title=" sunspot number"> sunspot number</a>, <a href="https://publications.waset.org/abstracts/search?q=solar%20wind" title=" solar wind"> solar wind</a>, <a href="https://publications.waset.org/abstracts/search?q=solar%20flares" title=" solar flares"> solar flares</a> </p> <a href="https://publications.waset.org/abstracts/170933/a-machine-learning-approach-for-earthquake-prediction-in-various-zones-based-on-solar-activity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/170933.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">73</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10035</span> Variations of Total Electron Content over High Latitude Region during the 24th Solar Cycle</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arun%20Kumar%20Singh">Arun Kumar Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=Rupesh%20M.%20Das"> Rupesh M. Das</a>, <a href="https://publications.waset.org/abstracts/search?q=Shailendra%20%20Saini"> Shailendra Saini</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The effect of solar cycle and seasons on the total electron content has been investigated over high latitude region during 24th solar cycle (2010-2014). The total electron content data has been observed with the help of Global Ionospheric Scintillation and TEC monitoring (GISTM) system installed at Indian permanent scientific 'Maitri station' [70˚46’00”S 11˚43’56” E]. The dependence of TEC over a solar cycle has been examined by the performing linear regression analysis between the vertical total electron content (VTEC) and daily total sunspot numbers (SSN). It has been found that the season and level of geomagnetic activity has a considerable effect on the VTEC. It is observed that the VTEC and SSN follow better agreement during summer seasons as compared to winter and equinox seasons and extraordinary agreement during minimum phase (during the year 2010) of the solar cycle. There is a significant correlation between VTEC and SSN during quiet days of the years as compared to overall days of the years (2010-2014). Further, saturation effect has been observed during maximum phase (during the year 2014) of the 24th solar cycle. It is also found that Ap index and SSN has a linear correlation (R=0.37) and the most of the geomagnetic activity occurs during the declining phase of the solar cycle. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=high%20latitude%20ionosphere" title="high latitude ionosphere">high latitude ionosphere</a>, <a href="https://publications.waset.org/abstracts/search?q=sunspot%20number" title=" sunspot number"> sunspot number</a>, <a href="https://publications.waset.org/abstracts/search?q=correlation" title=" correlation"> correlation</a>, <a href="https://publications.waset.org/abstracts/search?q=vertical%20total%20electron%20content" title=" vertical total electron content"> vertical total electron content</a> </p> <a href="https://publications.waset.org/abstracts/89867/variations-of-total-electron-content-over-high-latitude-region-during-the-24th-solar-cycle" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/89867.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">193</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10034</span> Factors Affecting Air Surface Temperature Variations in the Philippines </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=John%20Christian%20Lequiron">John Christian Lequiron</a>, <a href="https://publications.waset.org/abstracts/search?q=Gerry%20Bagtasa"> Gerry Bagtasa</a>, <a href="https://publications.waset.org/abstracts/search?q=Olivia%20Cabrera"> Olivia Cabrera</a>, <a href="https://publications.waset.org/abstracts/search?q=Leoncio%20Amadore"> Leoncio Amadore</a>, <a href="https://publications.waset.org/abstracts/search?q=Tolentino%20Moya"> Tolentino Moya</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Changes in air surface temperature play an important role in the Philippine’s economy, industry, health, and food production. While increasing global mean temperature in the recent several decades has prompted a number of climate change and variability studies in the Philippines, most studies still focus on rainfall and tropical cyclones. This study aims to investigate the trend and variability of observed air surface temperature and determine its major influencing factor/s in the Philippines. A non-parametric Mann-Kendall trend test was applied to monthly mean temperature of 17 synoptic stations covering 56 years from 1960 to 2015 and a mean change of 0.58 °C or a positive trend of 0.0105 °C/year (p < 0.05) was found. In addition, wavelet decomposition was used to determine the frequency of temperature variability show a 12-month, 30-80-month and more than 120-month cycles. This indicates strong annual variations, interannual variations that coincide with ENSO events, and interdecadal variations that are attributed to PDO and CO2 concentrations. Air surface temperature was also correlated with smoothed sunspot number and galactic cosmic rays, the results show a low to no effect. The influence of ENSO teleconnection on temperature, wind pattern, cloud cover, and outgoing longwave radiation on different ENSO phases had significant effects on regional temperature variability. Particularly, an anomalous anticyclonic (cyclonic) flow east of the Philippines during the peak and decay phase of El Niño (La Niña) events leads to the advection of warm southeasterly (cold northeasterly) air mass over the country. Furthermore, an apparent increasing cloud cover trend is observed over the West Philippine Sea including portions of the Philippines, and this is believed to lessen the effect of the increasing air surface temperature. However, relative humidity was also found to be increasing especially on the central part of the country, which results in a high positive trend of heat index, exacerbating the effects on human discomfort. Finally, an assessment of gridded temperature datasets was done to look at the viability of using three high-resolution datasets in future climate analysis and model calibration and verification. Several error statistics (i.e. Pearson correlation, Bias, MAE, and RMSE) were used for this validation. Results show that gridded temperature datasets generally follows the observed surface temperature change and anomalies. In addition, it is more representative of regional temperature rather than a substitute to station-observed air temperature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=air%20surface%20temperature" title="air surface temperature">air surface temperature</a>, <a href="https://publications.waset.org/abstracts/search?q=carbon%20dioxide" title=" carbon dioxide"> carbon dioxide</a>, <a href="https://publications.waset.org/abstracts/search?q=ENSO" title=" ENSO"> ENSO</a>, <a href="https://publications.waset.org/abstracts/search?q=galactic%20cosmic%20rays" title=" galactic cosmic rays"> galactic cosmic rays</a>, <a href="https://publications.waset.org/abstracts/search?q=smoothed%20sunspot%20number" title=" smoothed sunspot number"> smoothed sunspot number</a> </p> <a href="https://publications.waset.org/abstracts/58180/factors-affecting-air-surface-temperature-variations-in-the-philippines" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/58180.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">323</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10033</span> A Web Service Based Sensor Data Management System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rose%20A.%20Yemson">Rose A. Yemson</a>, <a href="https://publications.waset.org/abstracts/search?q=Ping%20Jiang"> Ping Jiang</a>, <a href="https://publications.waset.org/abstracts/search?q=Oyedeji%20L.%20Inumoh"> Oyedeji L. Inumoh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The deployment of wireless sensor network has rapidly increased, however with the increased capacity and diversity of sensors, and applications ranging from biological, environmental, military etc. generates tremendous volume of data’s where more attention is placed on the distributed sensing and little on how to manage, analyze, retrieve and understand the data generated. This makes it more quite difficult to process live sensor data, run concurrent control and update because sensor data are either heavyweight, complex, and slow. This work will focus on developing a web service platform for automatic detection of sensors, acquisition of sensor data, storage of sensor data into a database, processing of sensor data using reconfigurable software components. This work will also create a web service based sensor data management system to monitor physical movement of an individual wearing wireless network sensor technology (SunSPOT). The sensor will detect movement of that individual by sensing the acceleration in the direction of X, Y and Z axes accordingly and then send the sensed reading to a database that will be interfaced with an internet platform. The collected sensed data will determine the posture of the person such as standing, sitting and lying down. The system is designed using the Unified Modeling Language (UML) and implemented using Java, JavaScript, html and MySQL. This system allows real time monitoring an individual closely and obtain their physical activity details without been physically presence for in-situ measurement which enables you to work remotely instead of the time consuming check of an individual. These details can help in evaluating an individual’s physical activity and generate feedback on medication. It can also help in keeping track of any mandatory physical activities required to be done by the individuals. These evaluations and feedback can help in maintaining a better health status of the individual and providing improved health care. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=HTML" title="HTML">HTML</a>, <a href="https://publications.waset.org/abstracts/search?q=java" title=" java"> java</a>, <a href="https://publications.waset.org/abstracts/search?q=javascript" title=" javascript"> javascript</a>, <a href="https://publications.waset.org/abstracts/search?q=MySQL" title=" MySQL"> MySQL</a>, <a href="https://publications.waset.org/abstracts/search?q=sunspot" title=" sunspot"> sunspot</a>, <a href="https://publications.waset.org/abstracts/search?q=UML" title=" UML"> UML</a>, <a href="https://publications.waset.org/abstracts/search?q=web-based" title=" web-based"> web-based</a>, <a href="https://publications.waset.org/abstracts/search?q=wireless%20network%20sensor" title=" wireless network sensor"> wireless network sensor</a> </p> <a href="https://publications.waset.org/abstracts/53161/a-web-service-based-sensor-data-management-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/53161.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">212</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10032</span> Tax Evasion and Macroeconomic (In)stability</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wei-Neng%20Wang">Wei-Neng Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Jhy-Yuan%20Shieh"> Jhy-Yuan Shieh</a>, <a href="https://publications.waset.org/abstracts/search?q=Jhy-Hwa%20Chen"> Jhy-Hwa Chen</a>, <a href="https://publications.waset.org/abstracts/search?q=Juin-Jen%20Chang"> Juin-Jen Chang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper incorporate tax evasion into a one-sector real business cycle (RBC) model to explores the quantitative interrelations between income tax rate and equilibrium (in)determinacy, and income tax rate is endogenously determined in order to balance the government budget. We find that the level of the effective income tax rate is key factor for equilibrium (in)determinacy, instead of the level of income tax rate in a tax evasion economy. Under an economy with tax evasion, the higher income tax rate is not sufficiently to lead to equilibrium indeterminate, it must combine with a necessary condition which is the lower fraction of tax evasion and that can result in agents' optimistic expectations to become self-fulfilling and sunspot fluctuation more likely to occur. On the other hand, an economy with tax evasion can see its macroeconomy become more stabilize, and a higher fraction of income tax evasion may has a stronger stabilizing effect. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=tax%20evasion" title="tax evasion">tax evasion</a>, <a href="https://publications.waset.org/abstracts/search?q=balanced-budget%20rule" title=" balanced-budget rule"> balanced-budget rule</a>, <a href="https://publications.waset.org/abstracts/search?q=equlibirium%20%28in%29determinacy" title=" equlibirium (in)determinacy"> equlibirium (in)determinacy</a>, <a href="https://publications.waset.org/abstracts/search?q=effective%20income%20tax%20rate" title=" effective income tax rate"> effective income tax rate</a> </p> <a href="https://publications.waset.org/abstracts/181651/tax-evasion-and-macroeconomic-instability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/181651.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">63</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10031</span> The Theory of Number "0"</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Iryna%20Shevchenko">Iryna Shevchenko</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The science of mathematics was originated at the order of count of objects and subsequently for the measurement of size and quality of objects using the logical or abstract means. The laws of mathematics are based on the study of absolute values. The number 0 or "nothing" is the purely logical (as the opposite to absolute) value as the "nothing" should always assume the space for the something that had existed there; otherwise the "something" would never come to existence. In this work we are going to prove that the number "0" is the abstract (logical) and not an absolute number and it has the absolute value of “∞” (infinity). Therefore, the number "0" might not stand in the row of numbers that symbolically represents the absolute values, as it would be the mathematically incorrect. The symbolical value of number "0" in the row of numbers could be represented with symbol "∞" (infinity). As a result, we have the mathematical row of numbers: epsilon, ...4, 3, 2, 1, ∞. As the conclusions of the theory of number “0” we presented the statements: multiplication and division by fractions of numbers is illegal operation and the mathematical division by number “0” is allowed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=illegal%20operation%20of%20division%20and%20multiplication%20by%20fractions%20of%20number" title="illegal operation of division and multiplication by fractions of number">illegal operation of division and multiplication by fractions of number</a>, <a href="https://publications.waset.org/abstracts/search?q=infinity" title=" infinity"> infinity</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical%20row%20of%20numbers" title=" mathematical row of numbers"> mathematical row of numbers</a>, <a href="https://publications.waset.org/abstracts/search?q=theory%20of%20number%20%E2%80%9C0%E2%80%9D" title=" theory of number “0”"> theory of number “0”</a> </p> <a href="https://publications.waset.org/abstracts/27872/the-theory-of-number-0" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/27872.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">552</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10030</span> Definition of Quality Indicators for Damascus Rose Oil (Rosa damascena) Flora of Morocco</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Serebryanaya%20Fatima">Serebryanaya Fatima</a>, <a href="https://publications.waset.org/abstracts/search?q=Essaih%20Hind"> Essaih Hind</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Rosa damascena (Rosa damascena Mill.) is an interesting medicinal plant; it is famous in different countries and has medicinal use in many cultures. The main groups of pharmacological actions of rose oil are connected with anti-inflammatory, antifungal activity, also antioxidant and antibacterial, and antiparasitic properties. We have prepared the quality indicators analysis of the Damascus rose oil. An iodine number, acid number, and oil peroxide number were determined. The following indicators of the quality of rose oil have been studied. The determination was carried out according to the pharmacopoeic methods of analysis of essential oils, the definition of peroxide number (1,971%), iodine number (3,365%), and acid number (0,0526%). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rosa%20damascene" title="Rosa damascene">Rosa damascene</a>, <a href="https://publications.waset.org/abstracts/search?q=Rosa%20damascena%20Mill." title=" Rosa damascena Mill."> Rosa damascena Mill.</a>, <a href="https://publications.waset.org/abstracts/search?q=iodine%20number" title=" iodine number"> iodine number</a>, <a href="https://publications.waset.org/abstracts/search?q=acid%20number" title=" acid number"> acid number</a>, <a href="https://publications.waset.org/abstracts/search?q=oil%20peroxide%20number" title=" oil peroxide number"> oil peroxide number</a> </p> <a href="https://publications.waset.org/abstracts/159900/definition-of-quality-indicators-for-damascus-rose-oil-rosa-damascena-flora-of-morocco" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/159900.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">87</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10029</span> Flow and Heat Transfer of a Nanofluid over a Shrinking Sheet</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=N.%20Bachok">N. Bachok</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20L.%20Aleng"> N. L. Aleng</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20M.%20Arifin"> N. M. Arifin</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Ishak"> A. Ishak</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Senu"> N. Senu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The problem of laminar fluid flow which results from the shrinking of a permeable surface in a nanofluid has been investigated numerically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A similarity solution is presented which depends on the mass suction parameter S, Prandtl number Pr, Lewis number Le, Brownian motion number Nb and thermophoresis number Nt. It was found that the reduced Nusselt number is decreasing function of each dimensionless number. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Boundary%20layer" title="Boundary layer">Boundary layer</a>, <a href="https://publications.waset.org/abstracts/search?q=nanofluid" title=" nanofluid"> nanofluid</a>, <a href="https://publications.waset.org/abstracts/search?q=shrinking%20sheet" title=" shrinking sheet"> shrinking sheet</a>, <a href="https://publications.waset.org/abstracts/search?q=Brownian%20motion" title=" Brownian motion"> Brownian motion</a>, <a href="https://publications.waset.org/abstracts/search?q=thermophoresis" title=" thermophoresis"> thermophoresis</a>, <a href="https://publications.waset.org/abstracts/search?q=similarity%20solution" title=" similarity solution"> similarity solution</a> </p> <a href="https://publications.waset.org/abstracts/13057/flow-and-heat-transfer-of-a-nanofluid-over-a-shrinking-sheet" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/13057.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">415</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10028</span> Mixed Number Algebra and Its Application</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Md.%20Shah%20Alam">Md. Shah Alam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Mushfiq Ahmad has defined a Mixed Number, which is the sum of a scalar and a Cartesian vector. He has also defined the elementary group operations of Mixed numbers i.e. the norm of Mixed numbers, the product of two Mixed numbers, the identity element and the inverse. It has been observed that Mixed Number is consistent with Pauli matrix algebra and a handy tool to work with Dirac electron theory. Its use as a mathematical method in Physics has been studied. (1) We have applied Mixed number in Quantum Mechanics: Mixed Number version of Displacement operator, Vector differential operator, and Angular momentum operator has been developed. Mixed Number method has also been applied to Klein-Gordon equation. (2) We have applied Mixed number in Electrodynamics: Mixed Number version of Maxwell’s equation, the Electric and Magnetic field quantities and Lorentz Force has been found. (3) An associative transformation of Mixed Number numbers fulfilling Lorentz invariance requirement is developed. (4) We have applied Mixed number algebra as an extension of Complex number. Mixed numbers and the Quaternions have isomorphic correspondence, but they are different in algebraic details. The multiplication of unit Mixed number and the multiplication of unit Quaternions are different. Since Mixed Number has properties similar to those of Pauli matrix algebra, Mixed Number algebra is a more convenient tool to deal with Dirac equation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mixed%20number" title="mixed number">mixed number</a>, <a href="https://publications.waset.org/abstracts/search?q=special%20relativity" title=" special relativity"> special relativity</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20mechanics" title=" quantum mechanics"> quantum mechanics</a>, <a href="https://publications.waset.org/abstracts/search?q=electrodynamics" title=" electrodynamics"> electrodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=pauli%20matrix" title=" pauli matrix"> pauli matrix</a> </p> <a href="https://publications.waset.org/abstracts/39999/mixed-number-algebra-and-its-application" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39999.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">364</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10027</span> Numerical Investigation of the Effect of Number of Waves on Heat Transfer in a Wavy Wall Enclosure</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ali%20Reza%20Tahavvor">Ali Reza Tahavvor</a>, <a href="https://publications.waset.org/abstracts/search?q=Saeed%20Hosseini"> Saeed Hosseini</a>, <a href="https://publications.waset.org/abstracts/search?q=Afshin%20Karimzadeh%20Fard"> Afshin Karimzadeh Fard</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper the effect of wall waviness of side walls in a two-dimensional wavy enclosure is numerically investigated. Two vertical wavy walls and straight top wall are kept isothermal and the bottom wall temperature is higher and spatially varying with cosinusoidal temperature distribution. A computational code based on Finite-volume approach is used to solve governing equations and SIMPLE method is used for pressure velocity coupling. Test is performed for several different numbers of undulations. The Prandtl number was kept constant and the Ra number denotes that the flow is laminar. Temperature and velocity fields are determined. Therefore, according to the obtained results a correlation is proposed for average Nusselt number as a function of number of side wall waves. The results indicate that the Nusselt number is highly affected by number of waves and increasing it decreases the wavy walls Nusselt number; although the Nusselt number is not highly affected by surface waviness when the number of undulations is below one. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cavity" title="cavity">cavity</a>, <a href="https://publications.waset.org/abstracts/search?q=natural%20convection" title=" natural convection"> natural convection</a>, <a href="https://publications.waset.org/abstracts/search?q=Nusselt%20number" title=" Nusselt number"> Nusselt number</a>, <a href="https://publications.waset.org/abstracts/search?q=wavy%20wall" title=" wavy wall"> wavy wall</a> </p> <a href="https://publications.waset.org/abstracts/16580/numerical-investigation-of-the-effect-of-number-of-waves-on-heat-transfer-in-a-wavy-wall-enclosure" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/16580.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">470</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10026</span> Domination Parameters of Middle Graphs: Connected and Outer-Connected Perspectives</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Behnaz%20Pahlousay">Behnaz Pahlousay</a>, <a href="https://publications.waset.org/abstracts/search?q=Farshad%20Kazemnejad"> Farshad Kazemnejad</a>, <a href="https://publications.waset.org/abstracts/search?q=Elisa%20Palezzato"> Elisa Palezzato</a>, <a href="https://publications.waset.org/abstracts/search?q=Michele%20Torielli"> Michele Torielli</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we study the notions of connected domination number and of outer-connected domination number for middle graphs. Indeed, we obtain tight bounds for these numbers in terms of the order of the middle graph M(G). We also compute the outer-connected domination number of some families of graphs such as star graphs, cycle graphs, wheel graphs, complete graphs, complete bipartite graphs and some operation on graphs, explicitly. Moreover, some Nordhaus-Gaddum-like relations are presented for the outer-connected domination number of middle graphs. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=connected%20domination%20number" title="connected domination number">connected domination number</a>, <a href="https://publications.waset.org/abstracts/search?q=outer-connected%20dom-%20ination%20number" title=" outer-connected dom- ination number"> outer-connected dom- ination number</a>, <a href="https://publications.waset.org/abstracts/search?q=domination%20number" title=" domination number"> domination number</a>, <a href="https://publications.waset.org/abstracts/search?q=middle%20graph" title=" middle graph"> middle graph</a>, <a href="https://publications.waset.org/abstracts/search?q=nordhaus-%20gaddum-like%20relation." title=" nordhaus- gaddum-like relation."> nordhaus- gaddum-like relation.</a> </p> <a href="https://publications.waset.org/abstracts/189196/domination-parameters-of-middle-graphs-connected-and-outer-connected-perspectives" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/189196.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">38</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10025</span> Sunspot Cycles: Illuminating Humanity's Mysteries</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aghamusa%20Azizov">Aghamusa Azizov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study investigates the correlation between solar activity and sentiment in news media coverage, using a large-scale dataset of solar activity since 1750 and over 15 million articles from "The New York Times" dating from 1851 onwards. Employing Pearson's correlation coefficient and multiple Natural Language Processing (NLP) tools—TextBlob, Vader, and DistillBERT—the research examines the extent to which fluctuations in solar phenomena are reflected in the sentiment of historical news narratives. The findings reveal that the correlation between solar activity and media sentiment is generally negligible, suggesting a weak influence of solar patterns on the portrayal of events in news media. Notably, a moderate positive correlation was observed between the sentiments derived from TextBlob and Vader, indicating consistency across NLP tools. The analysis provides insights into the historical impact of solar activity on human affairs and highlights the importance of using multiple analytical methods to understand complex relationships in large datasets. The study contributes to the broader understanding of how extraterrestrial factors may intersect with media-reported events and underlines the intricate nature of interdisciplinary research in the data science and historical domains. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=solar%20activity%20correlation" title="solar activity correlation">solar activity correlation</a>, <a href="https://publications.waset.org/abstracts/search?q=media%20sentiment%20analysis" title=" media sentiment analysis"> media sentiment analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=natural%20language%20processing" title=" natural language processing"> natural language processing</a>, <a href="https://publications.waset.org/abstracts/search?q=historical%20event%20patterns" title=" historical event patterns"> historical event patterns</a> </p> <a href="https://publications.waset.org/abstracts/177817/sunspot-cycles-illuminating-humanitys-mysteries" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/177817.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">77</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10024</span> Fractional Residue Number System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Parisa%20Khoshvaght">Parisa Khoshvaght</a>, <a href="https://publications.waset.org/abstracts/search?q=Mehdi%20Hosseinzadeh"> Mehdi Hosseinzadeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> During the past few years, the Residue Number System (RNS) has been receiving considerable interest due to its parallel and fault-tolerant properties. This system is a useful tool for Digital Signal Processing (DSP) since it can support parallel, carry-free, high-speed and low power arithmetic. One of the drawbacks of Residue Number System is the fractional numbers, that is, the corresponding circuit is very hard to realize in conventional CMOS technology. In this paper, we propose a method in which the numbers of transistors are significantly reduced. The related delay is extremely diminished, in the first glance we use this method to solve concerning problem of one decimal functional number some how this proposition can be extended to generalize the idea. Another advantage of this method is the independency on the kind of moduli. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=computer%20arithmetic" title="computer arithmetic">computer arithmetic</a>, <a href="https://publications.waset.org/abstracts/search?q=residue%20number%20system" title=" residue number system"> residue number system</a>, <a href="https://publications.waset.org/abstracts/search?q=number%20system" title=" number system"> number system</a>, <a href="https://publications.waset.org/abstracts/search?q=one-Hot" title=" one-Hot"> one-Hot</a>, <a href="https://publications.waset.org/abstracts/search?q=VLSI" title=" VLSI"> VLSI</a> </p> <a href="https://publications.waset.org/abstracts/30341/fractional-residue-number-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30341.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">495</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10023</span> Scheduling of Bus Fleet Departure Time Based on Mathematical Model of Number of Bus Stops for Municipality Bus Organization</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ali%20Abdi%20Kordani">Ali Abdi Kordani</a>, <a href="https://publications.waset.org/abstracts/search?q=Hamid%20Bigdelirad"> Hamid Bigdelirad</a>, <a href="https://publications.waset.org/abstracts/search?q=Sid%20Mohammad%20Boroomandrad"> Sid Mohammad Boroomandrad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Operating Urban Bus Transit System is a phenomenon that has a major role in transporting passengers in cities. There are many factors involved in planning and operating an Urban Bus Transit System, one of which is selecting optimized number of stops and scheduling of bus fleet departure. In this paper, we tried to introduce desirable methodology to select number of stops and schedule properly. Selecting the right number of stops causes convenience in accessibility and reduction in travel time and finally increase in public preference of this transportation mode. The achieved results revealed that number of stops must reduce from 33 to 25. Also according to scheduling and conducted economic analysis, the number of buses must decrease from 17 to 11 to have the most appropriate status for the Bus Organization. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=number%20of%20optimized%20stops" title="number of optimized stops">number of optimized stops</a>, <a href="https://publications.waset.org/abstracts/search?q=organizing%20bus%20system" title=" organizing bus system"> organizing bus system</a>, <a href="https://publications.waset.org/abstracts/search?q=scheduling" title=" scheduling"> scheduling</a>, <a href="https://publications.waset.org/abstracts/search?q=urban%20transit" title=" urban transit"> urban transit</a> </p> <a href="https://publications.waset.org/abstracts/111521/scheduling-of-bus-fleet-departure-time-based-on-mathematical-model-of-number-of-bus-stops-for-municipality-bus-organization" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/111521.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">123</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10022</span> Mixed Convective Heat Transfer in Water-Based Al2O3 Nanofluid in Horizontal Rectangular Duct</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nur%20Irmawati">Nur Irmawati</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20A.%20Mohammed"> H. A. Mohammed</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present study, mixed convection in a horizontal rectangular duct using Al2O3 is numerically investigated. The effects of different Rayleigh number, Reynolds number and radiation on flow and heat transfer characteristics were studied in detail. This study covers Rayleigh number in the range of 2×106≤Ra≤2×107 and Reynolds number in the range of 100≤Re≤1100. Results reveal that the Nusselt number increases as Reynolds and Rayleigh numbers increase. It was also found that the dimensionless temperature distribution increases as Rayleigh number increases. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=numerical%20simulation" title="numerical simulation">numerical simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=mixed%20convection" title=" mixed convection"> mixed convection</a>, <a href="https://publications.waset.org/abstracts/search?q=horizontal%20rectangular%20duct" title=" horizontal rectangular duct"> horizontal rectangular duct</a>, <a href="https://publications.waset.org/abstracts/search?q=nanofluids" title=" nanofluids"> nanofluids</a> </p> <a href="https://publications.waset.org/abstracts/17914/mixed-convective-heat-transfer-in-water-based-al2o3-nanofluid-in-horizontal-rectangular-duct" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17914.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">376</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10021</span> Determining Optimal Number of Trees in Random Forests</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Songul%20Cinaroglu">Songul Cinaroglu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Background: Random Forest is an efficient, multi-class machine learning method using for classification, regression and other tasks. This method is operating by constructing each tree using different bootstrap sample of the data. Determining the number of trees in random forests is an open question in the literature for studies about improving classification performance of random forests. Aim: The aim of this study is to analyze whether there is an optimal number of trees in Random Forests and how performance of Random Forests differ according to increase in number of trees using sample health data sets in R programme. Method: In this study we analyzed the performance of Random Forests as the number of trees grows and doubling the number of trees at every iteration using “random forest” package in R programme. For determining minimum and optimal number of trees we performed Mc Nemar test and Area Under ROC Curve respectively. Results: At the end of the analysis it was found that as the number of trees grows, it does not always means that the performance of the forest is better than forests which have fever trees. In other words larger number of trees only increases computational costs but not increases performance results. Conclusion: Despite general practice in using random forests is to generate large number of trees for having high performance results, this study shows that increasing number of trees doesn’t always improves performance. Future studies can compare different kinds of data sets and different performance measures to test whether Random Forest performance results change as number of trees increase or not. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=classification%20methods" title="classification methods">classification methods</a>, <a href="https://publications.waset.org/abstracts/search?q=decision%20trees" title=" decision trees"> decision trees</a>, <a href="https://publications.waset.org/abstracts/search?q=number%20of%20trees" title=" number of trees"> number of trees</a>, <a href="https://publications.waset.org/abstracts/search?q=random%20forest" title=" random forest"> random forest</a> </p> <a href="https://publications.waset.org/abstracts/30675/determining-optimal-number-of-trees-in-random-forests" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30675.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">395</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10020</span> Debris' Effect on Bearing Capacity of Defective Piles in Sand</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20M.%20Nasr">A. M. Nasr</a>, <a href="https://publications.waset.org/abstracts/search?q=W.%20R.%20Azzam"> W. R. Azzam</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20E.%20Ebeed"> K. E. Ebeed</a> </p> <p class="card-text"><strong>Abstract:</strong></p> For bored piles, careful cleaning must be used to reduce the amount of material trapped in the drilled hole; otherwise, the debris' presence might cause the soft toe effect, which would affect the axial resistance. There isn't much comprehensive research on bored piles with debris. In order to investigate the behavior of a single pile, a pile composite foundation, a two pile group, a three pile group and a four pile group investigation conducts, forty-eight numerical tests in which the debris is simulated using foam rubber.1m pile diameter and 10m length with spacing 3D and depth of foundation 1m used in this study. It is found that the existence of debris causes a reduction of bearing capacity by 64.58% and 33.23% for single pile and pile composite foundation, respectively, 23.27% and 24.24% for the number of defective piles / total number of pile =1/2 and 1 respectively for two group pile, 10.23%, 19.42% and 28.47% for the number of defective piles / total number of pile =1/3,2/3 and 1 respectively for three group pile and, this reduction increase with the increase in a number of defective piles / a total number of piles and 7.1%, 13.32%,19.02% and 26.36 for the number of defective piles / total number of pile =1/4,2/4,3/4 and 1 respectively for four group pile and decreases with an increase of number of pile duo to interaction effect. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=debris" title="debris">debris</a>, <a href="https://publications.waset.org/abstracts/search?q=Foundation" title=" Foundation"> Foundation</a>, <a href="https://publications.waset.org/abstracts/search?q=defective" title=" defective"> defective</a>, <a href="https://publications.waset.org/abstracts/search?q=interaction" title=" interaction"> interaction</a>, <a href="https://publications.waset.org/abstracts/search?q=board%20pile" title=" board pile"> board pile</a> </p> <a href="https://publications.waset.org/abstracts/159958/debris-effect-on-bearing-capacity-of-defective-piles-in-sand" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/159958.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">97</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10019</span> Number Sense Proficiency and Problem Solving Performance of Grade Seven Students</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Laissa%20Mae%20Francisco">Laissa Mae Francisco</a>, <a href="https://publications.waset.org/abstracts/search?q=John%20Rolex%20Ingreso"> John Rolex Ingreso</a>, <a href="https://publications.waset.org/abstracts/search?q=Anna%20Krizel%20Menguito"> Anna Krizel Menguito</a>, <a href="https://publications.waset.org/abstracts/search?q=Criselda%20Robrigado"> Criselda Robrigado</a>, <a href="https://publications.waset.org/abstracts/search?q=Rej%20Maegan%20%20Tuazon"> Rej Maegan Tuazon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study aims to determine and describe the existing relationship between number sense proficiency and problem-solving performance of grade seven students from Victorino Mapa High School, Manila. A paper pencil exam containing of 50-item number sense test and 5-item problem-solving test which measures their number sense proficiency and problem-solving performance adapted from McIntosh, Reys, and Bana were used as the research instruments. The data obtained from this study were interpreted and analyzed using the Pearson – Product Moment Coefficient of Correlation to determine the relationship between the two variables. It was found out that students who were low in number sense proficiency tend to be the students with poor problem-solving performance and students with medium number sense proficiency are most likely to have an average problem-solving performance. Likewise, students with high number sense proficiency are those who do excellently in problem-solving performance. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=number%20sense" title="number sense">number sense</a>, <a href="https://publications.waset.org/abstracts/search?q=performance" title=" performance"> performance</a>, <a href="https://publications.waset.org/abstracts/search?q=problem%20solving" title=" problem solving"> problem solving</a>, <a href="https://publications.waset.org/abstracts/search?q=proficiency" title=" proficiency"> proficiency</a> </p> <a href="https://publications.waset.org/abstracts/59954/number-sense-proficiency-and-problem-solving-performance-of-grade-seven-students" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/59954.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">438</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10018</span> Entropy Production in Mixed Convection in a Horizontal Porous Channel Using Darcy-Brinkman Formulation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amel%20Tayari">Amel Tayari</a>, <a href="https://publications.waset.org/abstracts/search?q=Atef%20Eljerry"> Atef Eljerry</a>, <a href="https://publications.waset.org/abstracts/search?q=Mourad%20Magherbi"> Mourad Magherbi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper reports a numerical investigation of the entropy generation analysis due to mixed convection in laminar flow through a channel filled with porous media. The second law of thermodynamics is applied to investigate the entropy generation rate. The Darcy-Brinkman Model is employed. The entropy generation due to heat transfer and friction dissipations has been determined in mixed convection by solving numerically the continuity, momentum and energy equations, using a control volume finite element method. The effects of Darcy number, modified Brinkman number and the Rayleigh number on averaged entropy generation and averaged Nusselt number are investigated. The Rayleigh number varied between 103 ≤ Ra ≤ 105 and the modified Brinkman number ranges between 10-5 ≤ Br≤ 10-1 with fixed values of porosity and Reynolds number at 0.5 and 10 respectively. The Darcy number varied between 10-6 ≤ Da ≤10. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=entropy%20generation" title="entropy generation">entropy generation</a>, <a href="https://publications.waset.org/abstracts/search?q=porous%20media" title=" porous media"> porous media</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=mixed%20convection" title=" mixed convection"> mixed convection</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20methods" title=" numerical methods"> numerical methods</a>, <a href="https://publications.waset.org/abstracts/search?q=darcy" title=" darcy"> darcy</a>, <a href="https://publications.waset.org/abstracts/search?q=brinkman" title=" brinkman"> brinkman</a> </p> <a href="https://publications.waset.org/abstracts/3819/entropy-production-in-mixed-convection-in-a-horizontal-porous-channel-using-darcy-brinkman-formulation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3819.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">411</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10017</span> Teaching the Binary System via Beautiful Facts from the Real Life</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Salem%20Ben%20Said">Salem Ben Said</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In recent times the decimal number system to which we are accustomed has received serious competition from the binary number system. In this note, an approach is suggested to teaching and learning the binary number system using examples from the real world. More precisely, we will demonstrate the utility of the binary system in describing the optimal strategy to win the Chinese Nim game, and in telegraphy by decoding the hidden message on Perseverance’s Mars parachute written in the language of binary system. Finally, we will answer the question, “why do modern computers prefer the ternary number system instead of the binary system?”. All materials are provided in a format that is conductive to classroom presentation and discussion. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=binary%20number%20system" title="binary number system">binary number system</a>, <a href="https://publications.waset.org/abstracts/search?q=Nim%20game" title=" Nim game"> Nim game</a>, <a href="https://publications.waset.org/abstracts/search?q=telegraphy" title=" telegraphy"> telegraphy</a>, <a href="https://publications.waset.org/abstracts/search?q=computers%20prefer%20the%20ternary%20system" title=" computers prefer the ternary system"> computers prefer the ternary system</a> </p> <a href="https://publications.waset.org/abstracts/143278/teaching-the-binary-system-via-beautiful-facts-from-the-real-life" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/143278.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">187</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10016</span> Estimating Current Suicide Rates Using Google Trends</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ladislav%20Kristoufek">Ladislav Kristoufek</a>, <a href="https://publications.waset.org/abstracts/search?q=Helen%20Susannah%20Moat"> Helen Susannah Moat</a>, <a href="https://publications.waset.org/abstracts/search?q=Tobias%20Preis"> Tobias Preis</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Data on the number of people who have committed suicide tends to be reported with a substantial time lag of around two years. We examine whether online activity measured by Google searches can help us improve estimates of the number of suicide occurrences in England before official figures are released. Specifically, we analyse how data on the number of Google searches for the terms “depression” and “suicide” relate to the number of suicides between 2004 and 2013. We find that estimates drawing on Google data are significantly better than estimates using previous suicide data alone. We show that a greater number of searches for the term “depression” is related to fewer suicides, whereas a greater number of searches for the term “suicide” is related to more suicides. Data on suicide related search behaviour can be used to improve current estimates of the number of suicide occurrences. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nowcasting" title="nowcasting">nowcasting</a>, <a href="https://publications.waset.org/abstracts/search?q=search%20data" title=" search data"> search data</a>, <a href="https://publications.waset.org/abstracts/search?q=Google%20Trends" title=" Google Trends"> Google Trends</a>, <a href="https://publications.waset.org/abstracts/search?q=official%20statistics" title=" official statistics"> official statistics</a> </p> <a href="https://publications.waset.org/abstracts/59622/estimating-current-suicide-rates-using-google-trends" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/59622.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">357</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10015</span> Numerical Study of Mixed Convection Coupled to Radiation in a Square Cavity with a Lid-Driven</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Belmiloud%20Mohamed%20Amine">Belmiloud Mohamed Amine</a>, <a href="https://publications.waset.org/abstracts/search?q=Sad%20Chemloul%20Nord-Eddine"> Sad Chemloul Nord-Eddine</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study we investigated numerically heat transfer by mixed convection coupled to radiation in a square cavity; the upper horizontal wall is movable. The purpose of this study is to see the influence of the emissivity and the varying of the Richardson number on the variation of the average Nusselt number. The vertical walls of the cavity are differentially heated, the left wall is maintained at a uniform temperature higher than the right wall, and the two horizontal walls are adiabatic. The finite volume method is used for solving the dimensionless governing equations. Emissivity values used in this study are ranged between 0 and 1, the Richardson number in the range 0.1 to10. The Rayleigh number is fixed to Ra = 10000 and the Prandtl number is maintained constant Pr = 0.71. Streamlines, isothermal lines and the average Nusselt number are presented according to the surface emissivity. The results of this study show that the Richardson number and emissivity affect the average Nusselt number. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mixed%20convection" title="mixed convection">mixed convection</a>, <a href="https://publications.waset.org/abstracts/search?q=square%20cavity" title=" square cavity"> square cavity</a>, <a href="https://publications.waset.org/abstracts/search?q=wall%20emissivity" title=" wall emissivity"> wall emissivity</a>, <a href="https://publications.waset.org/abstracts/search?q=lid-driven" title=" lid-driven"> lid-driven</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20study" title=" numerical study"> numerical study</a> </p> <a href="https://publications.waset.org/abstracts/34521/numerical-study-of-mixed-convection-coupled-to-radiation-in-a-square-cavity-with-a-lid-driven" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/34521.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">347</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10014</span> Number of Necessary Parameters for Parametrization of Stabilizing Controllers for two times two RHinf Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kazuyoshi%20Mori">Kazuyoshi Mori</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider the number of parameters for the parametrization of stabilizing controllers for RHinf systems with size 2 × 2. Fortunately, any plant of this model can admit doubly coprime factorization. Thus we can use the Youla parameterization to parametrize the stabilizing contollers . However, Youla parameterization does not give itself the minimal number of parameters. This paper shows that the minimal number of parameters is four. As a result, we show that the Youla parametrization naturally gives the parameterization of stabilizing controllers with minimal numbers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=RHinfo" title="RHinfo">RHinfo</a>, <a href="https://publications.waset.org/abstracts/search?q=parameterization" title=" parameterization"> parameterization</a>, <a href="https://publications.waset.org/abstracts/search?q=number%20of%20parameters" title=" number of parameters"> number of parameters</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-input" title=" multi-input"> multi-input</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-output%20systems" title=" multi-output systems"> multi-output systems</a> </p> <a href="https://publications.waset.org/abstracts/33703/number-of-necessary-parameters-for-parametrization-of-stabilizing-controllers-for-two-times-two-rhinf-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33703.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">407</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10013</span> A Stable Method for Determination of the Number of Independent Components</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yuyan%20Yi">Yuyan Yi</a>, <a href="https://publications.waset.org/abstracts/search?q=Jingyi%20Zheng"> Jingyi Zheng</a>, <a href="https://publications.waset.org/abstracts/search?q=Nedret%20Billor"> Nedret Billor</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Independent component analysis (ICA) is one of the most commonly used blind source separation (BSS) techniques for signal pre-processing, such as noise reduction and feature extraction. The main parameter in the ICA method is the number of independent components (IC). Although there have been several methods for the determination of the number of ICs, it has not been given sufficient attentionto this important parameter. In this study, wereview the mostused methods fordetermining the number of ICs and providetheir advantages and disadvantages. Further, wepropose an improved version of column-wise ICAByBlock method for the determination of the number of ICs.To assess the performance of the proposed method, we compare the column-wise ICAbyBlock with several existing methods through different ICA methods by using simulated and real signal data. Results show that the proposed column-wise ICAbyBlock is an effective and stable method for determining the optimal number of components in ICA. This method is simple, and results can be demonstrated intuitively with good visualizations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=independent%20component%20analysis" title="independent component analysis">independent component analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20number" title=" optimal number"> optimal number</a>, <a href="https://publications.waset.org/abstracts/search?q=column-wise" title=" column-wise"> column-wise</a>, <a href="https://publications.waset.org/abstracts/search?q=correlation%20coefficient" title=" correlation coefficient"> correlation coefficient</a>, <a href="https://publications.waset.org/abstracts/search?q=cross-validation" title=" cross-validation"> cross-validation</a>, <a href="https://publications.waset.org/abstracts/search?q=ICAByblock" title=" ICAByblock"> ICAByblock</a> </p> <a href="https://publications.waset.org/abstracts/150582/a-stable-method-for-determination-of-the-number-of-independent-components" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/150582.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">99</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10012</span> Investigating Fatigue Life in Bolted Flange Connection in Wind Turbine Towers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdullah%20Salameh">Abdullah Salameh</a>, <a href="https://publications.waset.org/abstracts/search?q=Jamil%20Renno"> Jamil Renno</a>, <a href="https://publications.waset.org/abstracts/search?q=Khaled%20Ali"> Khaled Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper investigates how fatigue life is influenced by increasing the number and size of bolts under several wind speed averages. The study determined that increasing the size or number of bolts can notably improve the fatigue life of bolted flange connections. Additionally, the curves derived from the assessment data demonstrated a steeper slope for a greater number of bolts, indicating that the percentage increase of adding bolts is not consistent for each additional bolt. Instead, the percentage increment rises exponentially when increasing the number of bolts. However, selecting the most suitable design improvement strategy depends on the specific circumstances. In the majority of cases, the study observed that increasing the number of bolts resulted in significant improvements in fatigue life, regardless of the size of the bolts used. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=wind%20turbine%20tower" title="wind turbine tower">wind turbine tower</a>, <a href="https://publications.waset.org/abstracts/search?q=flanged%20connection" title=" flanged connection"> flanged connection</a>, <a href="https://publications.waset.org/abstracts/search?q=number%20of%20bolts" title=" number of bolts"> number of bolts</a>, <a href="https://publications.waset.org/abstracts/search?q=size%20of%20bolts" title=" size of bolts"> size of bolts</a>, <a href="https://publications.waset.org/abstracts/search?q=fatigue%20life" title=" fatigue life"> fatigue life</a> </p> <a href="https://publications.waset.org/abstracts/167960/investigating-fatigue-life-in-bolted-flange-connection-in-wind-turbine-towers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/167960.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">80</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10011</span> Analysis of Simple Mechanisms to Continuously Vary Mach Number in a Supersonic Wind Tunnel Facility</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Prateek%20Kishore">Prateek Kishore</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20M.%20Muruganandam"> T. M. Muruganandam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Supersonic wind tunnel nozzles are generally capable of producing a constant Mach number flow in the test section of the wind tunnel. As a result, most of the supersonic vehicles are widely designed using steady state flow characteristics which may have errors while facing unsteady situations. This study aims to explore the possibility of varying the Mach number of the flow during wind tunnel operation. The nozzle walls are restricted to be inflexible for cooling near the throat due to high stagnation temperature requirement of the flow to simulate the conditions as experienced by the vehicle. Two simple independent mechanisms, rotation and translation of nozzle walls have been analyzed and the nozzle ranges have been optimized to vary the Mach number from Mach 2 to Mach 5 using minimum number of nozzles in the wind tunnel. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=method%20of%20characteristics" title="method of characteristics">method of characteristics</a>, <a href="https://publications.waset.org/abstracts/search?q=nozzle" title=" nozzle"> nozzle</a>, <a href="https://publications.waset.org/abstracts/search?q=supersonic%20wind%20tunnel" title=" supersonic wind tunnel"> supersonic wind tunnel</a>, <a href="https://publications.waset.org/abstracts/search?q=variable%20mach%20number" title=" variable mach number"> variable mach number</a> </p> <a href="https://publications.waset.org/abstracts/66454/analysis-of-simple-mechanisms-to-continuously-vary-mach-number-in-a-supersonic-wind-tunnel-facility" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66454.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">295</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10010</span> Exploring the Effect of Using Lesh Model in Enhancing Prospective Mathematics Teachers’ Number Sense</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Areej%20Isam%20Barham">Areej Isam Barham</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Developing students’ number sense is an essential element in the learning of mathematics. Number sense is one of the foundational ideas in mathematics where students need to understand numbers, representing them in different ways, and realize the relationships among numbers. Number sense also reflects students’ understanding of the meaning of operations, how they related to one another, how to compute fluently and make reasonable estimates. Developing students’ number sense in the mathematics classroom requires good preparation for mathematics teachers, those who will direct their students towards the real understanding of numbers and its implementation in the learning of mathematics. This study describes the development of elementary prospective mathematics teachers’ number sense through a mathematics teaching methods course at Qatar University. The study examined the effect of using the Lesh model in enhancing mathematics prospective teachers’ number sense. Thirty-nine elementary prospective mathematics teachers involved in the current study. The study followed an experimental research approach, and quantitative research methods were used to answer the research questions. Pre-post number sense test was constructed and implemented before and after teaching by using the Lesh model. Data were analyzed using Statistical Packages for Social Sciences (SPSS). Descriptive data analysis and t-test were used to examine the impact of using the Lesh model in enhancing prospective teachers’ number sense. Finding of the study indicated poor number sense and limited numeracy skills before implementing the use of the Lesh model, which highly demonstrate the importance of the study. The results of the study also revealed a positive impact on the use of the Lesh model in enhancing prospective teachers’ number sense with statistically significant differences. The discussion of the study addresses different features and issues related to the participants’ number sense. In light of the study, the research presents recommendations and suggestions for the future development of mathematics prospective teachers’ number sense. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=number%20sense" title="number sense">number sense</a>, <a href="https://publications.waset.org/abstracts/search?q=Lesh%20model" title=" Lesh model"> Lesh model</a>, <a href="https://publications.waset.org/abstracts/search?q=prospective%20mathematics%20teachers" title=" prospective mathematics teachers"> prospective mathematics teachers</a>, <a href="https://publications.waset.org/abstracts/search?q=development%20of%20number%20sense" title=" development of number sense"> development of number sense</a> </p> <a href="https://publications.waset.org/abstracts/115163/exploring-the-effect-of-using-lesh-model-in-enhancing-prospective-mathematics-teachers-number-sense" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/115163.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">140</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10009</span> An Algorithm to Find Fractional Edge Domination Number and Upper Fractional Edge Domination Number of an Intuitionistic Fuzzy Graph</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Karunambigai%20Mevani%20Govindasamy">Karunambigai Mevani Govindasamy</a>, <a href="https://publications.waset.org/abstracts/search?q=Sathishkumar%20Ayyappan"> Sathishkumar Ayyappan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we formulate the algorithm to find out the dominating function parameters of Intuitionistic Fuzzy Graphs(IFG). The methodology we adopted here is converting any physical problem into an IFG, and that has been transformed into Intuitionistic Fuzzy Matrix. Using Linear Program Solver software (LiPS), we found the defined parameters for the given IFG. We obtained these parameters for a path and cycle IFG. This study can be extended to other varieties of IFG. In particular, we obtain the definition of edge dominating function, minimal edge dominating function, fractional edge domination number (γ_if^') and upper fractional edge domination number (Γ_if^') of an intuitionistic fuzzy graph. Also, we formulated an algorithm which is appropriate to work on LiPS to find fractional edge domination number and upper fractional edge domination number of an IFG. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fractional%20edge%20domination%20number" title="fractional edge domination number">fractional edge domination number</a>, <a href="https://publications.waset.org/abstracts/search?q=intuitionistic%20fuzzy%20cycle" title=" intuitionistic fuzzy cycle"> intuitionistic fuzzy cycle</a>, <a href="https://publications.waset.org/abstracts/search?q=intuitionistic%20fuzzy%20graph" title=" intuitionistic fuzzy graph"> intuitionistic fuzzy graph</a>, <a href="https://publications.waset.org/abstracts/search?q=intuitionistic%20fuzzy%20path" title=" intuitionistic fuzzy path"> intuitionistic fuzzy path</a> </p> <a href="https://publications.waset.org/abstracts/112004/an-algorithm-to-find-fractional-edge-domination-number-and-upper-fractional-edge-domination-number-of-an-intuitionistic-fuzzy-graph" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/112004.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">174</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10008</span> Trinary Affinity—Mathematic Verification and Application (1): Construction of Formulas for the Composite and Prime Numbers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Liang%20Ming%20Zhong">Liang Ming Zhong</a>, <a href="https://publications.waset.org/abstracts/search?q=Yu%20Zhong"> Yu Zhong</a>, <a href="https://publications.waset.org/abstracts/search?q=Wen%20Zhong"> Wen Zhong</a>, <a href="https://publications.waset.org/abstracts/search?q=Fei%20Fei%20Yin"> Fei Fei Yin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Trinary affinity is a description of existence: every object exists as it is known and spoken of, in a system of 2 differences (denoted dif1, dif₂) and 1 similarity (Sim), equivalently expressed as dif₁ / Sim / dif₂ and kn / 0 / tkn (kn = the known, tkn = the 'to be known', 0 = the zero point of knowing). They are mathematically verified and illustrated in this paper by the arrangement of all integers onto 3 columns, where each number exists as a difference in relation to another number as another difference, and the 2 difs as arbitrated by a third number as the Sim, resulting in a trinary affinity or trinity of 3 numbers, of which one is the known, the other the 'to be known', and the third the zero (0) from which both the kn and tkn are measured and specified. Consequently, any number is horizontally specified either as 3n, or as '3n – 1' or '3n + 1', and vertically as 'Cn + c', so that any number seems to occur at the intersection of its X and Y axes and represented by its X and Y coordinates, as any point on Earth’s surface by its latitude and longitude. Technically, i) primes are viewed and treated as progenitors, and composites as descending from them, forming families of composites, each capable of being measured and specified from its own zero called in this paper the realistic zero (denoted 0r, as contrasted to the mathematic zero, 0m), which corresponds to the constant c, and the nature of which separates the composite and prime numbers, and ii) any number is considered as having a magnitude as well as a position, so that a number is verified as a prime first by referring to its descriptive formula and then by making sure that no composite number can possibly occur on its position, by dividing it with factors provided by the composite number formulas. The paper consists of 3 parts: 1) a brief explanation of the trinary affinity of things, 2) the 8 formulas that represent ALL the primes, and 3) families of composite numbers, each represented by a formula. A composite number family is described as 3n + f₁‧f₂. Since there are an infinitely large number of composite number families, to verify the primality of a great probable prime, we have to have it divided with several or many a f₁ from a range of composite number formulas, a procedure that is as laborious as it is the surest way to verifying a great number’s primality. (So, it is possible to substitute planned division for trial division.) <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=trinary%20affinity" title="trinary affinity">trinary affinity</a>, <a href="https://publications.waset.org/abstracts/search?q=difference" title=" difference"> difference</a>, <a href="https://publications.waset.org/abstracts/search?q=similarity" title=" similarity"> similarity</a>, <a href="https://publications.waset.org/abstracts/search?q=realistic%20zero" title=" realistic zero"> realistic zero</a> </p> <a href="https://publications.waset.org/abstracts/78712/trinary-affinity-mathematic-verification-and-application-1-construction-of-formulas-for-the-composite-and-prime-numbers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/78712.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">211</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">10007</span> Number of Parameters of Anantharam's Model with Single-Input Single-Output Case</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kazuyoshi%20Mori">Kazuyoshi Mori</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider the parametrization of Anantharam’s model within the framework of the factorization approach. In the parametrization, we investigate the number of required parameters of Anantharam’s model. We consider single-input single-output systems in this paper. By the investigation, we find three cases that are (1) there exist plants which require only one parameter and (2) two parameters, and (3) the number of parameters is at most three. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=linear%20systems" title="linear systems">linear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=parametrization" title=" parametrization"> parametrization</a>, <a href="https://publications.waset.org/abstracts/search?q=coprime%20factorization" title=" coprime factorization"> coprime factorization</a>, <a href="https://publications.waset.org/abstracts/search?q=number%20of%20parameters" title=" number of parameters"> number of parameters</a> </p> <a href="https://publications.waset.org/abstracts/59401/number-of-parameters-of-anantharams-model-with-single-input-single-output-case" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/59401.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">214</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=sunspot%20number&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=sunspot%20number&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=sunspot%20number&page=4">4</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=sunspot%20number&page=5">5</a></li> <li class="page-item"><a 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