Linear Algebra World vs Terramoto

Linear Algebra World (LAW) presents linear algebra in a way that is accessible yet rigorous. It is designed for students of engineering, mathematics, data science and related fields, and may also serve as a visual presentation tool for instructors. The app combines three roles: • matrix calculator • interactive algorithm step visualizer • carefully designed learning pathway through linear algebra Our goal is to present linear algebra as a coherent system built on a small set of axioms. Definitions are separated from consequences, logical dependencies are made explicit, and notation is kept minimal to reduce cognitive load. Visual tools are used extensively—even for abstract topics such as the four fundamental subspaces—so that geometric intuition and algebraic reasoning reinforce one another. The curriculum begins with vectors as coordinates and matrices as collections of vectors, and currently covers topics through QR factorization. Upcoming additions include OLS, eigendecomposition, SVD, and PCA. This app builds on our earlier Matrix Solver Step by Step, a highly rated matrix computation app used by students for several years. LAW adds a structured curriculum along with LaTeX import and export. LAW is designed for serious learners who want to understand the structure behind the computations. For quick step-by-step matrix calculations, Matrix Solver Step by Step may be the more direct tool. Your constructive feedback is essential to the continued refinement of the app.

Terramoto brings the science of earthquakes and tsunamis to life with stunning real-time physics simulation. DISCLAIMER This app is for educational and entertainment purposes only. Terramoto is NOT an emergency warning system and should NOT be used for disaster planning, evacuation decisions, or any life-safety purposes. The simulations are simplified models that do not account for all real-world factors. For actual tsunami warnings, always rely on official sources such as NOAA, local emergency management agencies, and government alerts. REAL PHYSICS, NOT ANIMATIONS Unlike simple visualizations, Terramoto uses actual shallow water equations—the same mathematics used by scientific institutions—to simulate how tsunami waves propagate across oceans. Watch waves travel at realistic speeds, reflect off coastlines, and flood coastal areas based on real elevation data. GPU-ACCELERATED SIMULATION Powered by Metal compute shaders, Terramoto runs a full fluid dynamics simulation on your device. The well-balanced hydrostatic solver ensures physically accurate wave behavior without artificial artifacts. GLOBAL COVERAGE Accurate coastlines from Natural Earth public domain data Real bathymetry (ocean depth) affecting wave speed and behavior Waves travel faster in deep ocean, slow and amplify in shallow coastal waters AFFECTED CITIES ANALYSIS See which cities would be impacted by seismic events. Terramoto calculates distances and provides estimates based on magnitude and proximity. FEATURES Tap anywhere on the map to simulate earthquakes of varying magnitudes Watch tsunami waves propagate in real-time across the globe Observe wave reflection, refraction, and coastal flooding Track simulation time and wave progression Smooth, interpolated wave visualization Dark mode interface designed for clarity EDUCATIONAL VALUE Perfect for students, educators, and anyone curious about geophysics. Understand why some coastlines are more vulnerable to tsunamis, how ocean depth affects wave speed, and why early warning systems are critical.