Amir Khanshan: New Applications
http://www.maplesoft.com/applications/author.aspx?mid=923
en-us2017 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemThu, 27 Jul 2017 00:31:53 GMTThu, 27 Jul 2017 00:31:53 GMTNew applications published by Amir Khanshanhttp://www.mapleprimes.com/images/mapleapps.gifAmir Khanshan: New Applications
http://www.maplesoft.com/applications/author.aspx?mid=923
The Fourier Series package for Maple
https://www.maplesoft.com/applications/view.aspx?SID=4857&ref=Feed
The FourierSeries package for symbolic calculation of Fourier series coefficients is presented. It returns the coefficients in piecewise form and is able to handle special cases. Periodic functions can be easily generated and plotted. Also it provides a simple and easy way for illustration of the convergence of the Fourier series and Gibbs phenomenon.<img src="/view.aspx?si=4857/FS_Examples_23.jpg" alt="The Fourier Series package for Maple" align="left"/>The FourierSeries package for symbolic calculation of Fourier series coefficients is presented. It returns the coefficients in piecewise form and is able to handle special cases. Periodic functions can be easily generated and plotted. Also it provides a simple and easy way for illustration of the convergence of the Fourier series and Gibbs phenomenon.4857Fri, 12 Jan 2007 00:00:00 ZAmir KhanshanAmir KhanshanA Collection of Polar Plots
https://www.maplesoft.com/applications/view.aspx?SID=1727&ref=Feed
The presented work is a collection of math functions in polar coordinates. It contains continuous, piecewise and periodic functions. General form of a function is considered in most cases to show the effect of its parameter changes on the shape of the plot. In some cases animations could help to visualize and understand the effect of parameters. Some of the functions create really beautiful plots in the polar plane.<img src="/view.aspx?si=1727/butterfly.jpg" alt="A Collection of Polar Plots" align="left"/>The presented work is a collection of math functions in polar coordinates. It contains continuous, piecewise and periodic functions. General form of a function is considered in most cases to show the effect of its parameter changes on the shape of the plot. In some cases animations could help to visualize and understand the effect of parameters. Some of the functions create really beautiful plots in the polar plane.1727Thu, 20 Apr 2006 00:00:00 ZAmir KhanshanAmir KhanshanElectric Field and Potential for Point Charges
https://www.maplesoft.com/applications/view.aspx?SID=1698&ref=Feed
The electric field for a set of point charges in the plane is calculated and plotted. Beginnig from a set of two point charges, the program is evolved to plot the electric field for any structure of point charges. As a simpler appraoch, the field will be derived by first calculating potential and then using E=-grad(V). The electric field line plus equipotential contours are visualized for any structure of point charges.<img src="/view.aspx?si=1698/ContourFieldPlot.jpg" alt="Electric Field and Potential for Point Charges" align="left"/>The electric field for a set of point charges in the plane is calculated and plotted. Beginnig from a set of two point charges, the program is evolved to plot the electric field for any structure of point charges. As a simpler appraoch, the field will be derived by first calculating potential and then using E=-grad(V). The electric field line plus equipotential contours are visualized for any structure of point charges.1698Tue, 13 Dec 2005 00:00:00 ZAmir KhanshanAmir KhanshanAesthetic Plots in Complex Plane
https://www.maplesoft.com/applications/view.aspx?SID=1453&ref=Feed
Complex functions can create beautiful and wonderful graphs in the complex plane. In this worksheet we some interesting graphs and animations will be presented. As well as a mathematical fun, the results can be of interest in educational field. Similar graphics or animations can help students to visualize practical phenomenons in some engineering fields such as fluid mechanics or electrical engineering.<img src="/view.aspx?si=1453/thumb.gif" alt="Aesthetic Plots in Complex Plane" align="left"/>Complex functions can create beautiful and wonderful graphs in the complex plane. In this worksheet we some interesting graphs and animations will be presented. As well as a mathematical fun, the results can be of interest in educational field. Similar graphics or animations can help students to visualize practical phenomenons in some engineering fields such as fluid mechanics or electrical engineering.1453Wed, 06 Apr 2005 00:00:00 ZAmir KhanshanAmir Khanshan