Loughborough Wave Lab vs Drawing with Math

Loughborough Wave Lab is an educational learning app designed to aid students in their understanding of electromagnetic wave concepts in an engaging and entertaining way! Features include: • Virtual pond • Persistent Sinusoidal Pulses • Virtual Ripple Tank • Waveguide Simulator • Young's Double Slit Experiment • Custom Simulation Mode Loughborough Wave Lab is intended to accompany teaching on Electromagnetic phenomena and to provide students with an interactive way of seeing these principles in action! Educators can now author their own custom simulation files, upload them to a web server and then have Loughborough Wave Lab execute the simulations using a WiFi or cellular data connection to download the configurations and display them to the user. This uses the new, open-source configuration standard CEML which has been introduced by the developer (available at www.github.com/danielrbrowne/CEML)

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.