MuStripKit vs Drawing with Math

MuStripKit is a versatile microstrip toolkit app for microstrip circuit analysis and design. The app realizes various functions, including microstrip line analysis and synthesis, calculations of input impedance, reflection coefficient, and frequency response in terms of S-parameters. A Smith chart tool is also provided to aid in designing a microstrip circuit. In addition, using a novel multiple 1-D FDTD method, the app shows time-domain simulation of microstrip circuits incorporated with lumped elements, including resistors, capacitors, and inductors in parallel, as well as series connections. Several educational circuit examples are provided to help illustrate the electromagnetic wave propagation in the microstrip circuit. For more information, please refer to "A Microstrip Circuit Tool Kit App with FDTD Analysis Including Lumped Elements," IEEE Microwave Magazine, vol. 16, no. 1, pp. 74-80, 2015. User interface: - touch on number field to input/change value - slider may be used to change value - swipe left/right to select circuit element - press 'Add'/'Del' to add/delete circuit element in schematic - tap to select circuit element in schematic - long press to move circuit element in schematic

Our “Drawing with Math (Vector and Pixel Art)” app combines two main components: * uniquely versatile image editors, * various methods of linear transformations of both user-entered and system images. Image editors are available in vector and pixelated forms. The editors offer such options as: * free drawing, * entry of all standard shapes, * entry of regular Cartesian, polar, or parametric function into image editor. List of several visually appealing functions is provided. The App stores 10 most recent user entries for each type. Vector images can be linearly transformed in a variety of user-defined ways: * 2x2 matrix, * eigenvalues and eigenvectors, * rotation by degree, * reflection across a given vector. Pixelated images can be compressed by segments to user-selected rank. Mathematical context for the above is provided, whenever possible. Explanation of image compression algorithms requires significant understanding of Linear Algebra, and is available in our “Matrix Solver Step by Step” app. Several bonus images with animations and editable greeting cards are also available. Suggestions and any other feedback are welcome! Write to us at graphmath@aol.com.