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[1] [2] Once the ODE is found, it can be solved along the characteristic curves and transformed into a solution for the original PDE. For the sake of simplicity, we confine our attention to the case of a function of two independent variables x and y for the moment. Consider a quasilinear PDE of the form [3]
From a book published in 1807 relating lectures given by Young in 1802 to London's Royal Institution. While studying medicine at Göttingen in the 1790s, Young wrote a thesis on the physical and mathematical properties of sound [4] and in 1800, he presented a paper to the Royal Society (written in 1799) where he argued that light was also a wave motion.
On the contrary, some constructions in continuous programs (so far only Cinderella and GeoGebra), depend on the number of hidden parameters and in such a way that moving a given point produces a continuous motion of the construction, as a result, if the point is moved back to the original position the result of construction might be different.
For example, if two slits are separated by 0.5 mm (d), and are illuminated with a 0.6 μm wavelength laser (λ), then at a distance of 1 m (z), the spacing of the fringes will be 1.2 mm. If the width of the slits b is appreciable compared to the wavelength, the Fraunhofer diffraction equation is needed to determine the intensity of the ...
Wolfram System Modeler, developed by Wolfram MathCore, is a platform for engineering as well as life-science modeling and simulation based on the Modelica language. It provides an interactive graphical modeling and simulation environment and a customizable set of component libraries.
The GeoGebra Materials platform [11] is a cloud service that allows users to upload and share GeoGebra applets with others. GeoGebra Materials was originally launched as GeoGebraTube in June 2011, and was renamed in 2016. As of April 2016 the service hosts more than 1 million resources, 400,000+ of which are public.
Since ports are only attached to node 1 and node 4, nodes 2 and 3 need to be removed through Kron reduction. The table below shows the reduced Y parameter matrix of the Chebyshev filter example simulation after nodes 2 and 4 are eliminated. The nodes of the reduced table are renumbered to 1 and 2.
The following table is split into two groups based on whether it has a graphical visual interface or not. The latter requires a separate program to provide that feature, such as Qucs-S, [1] Oregano, [2] or a schematic design application that supports external simulators, such as KiCad or gEDA.