Gramático vs Simplex Linear Programming

Learn Spanish for real with Gramático. The app has hundreds of exercises as well as summaries, tables and lists for the key topics of the Spanish grammar. You don’t need to take leveling tests, just pick any topic and start learning it. You can solve dozens of exercises in a row to memorize concepts and grammar rules in a short time. When you finish an exercises session, you can check your score and a detailed correction of your answers. The following topics are covered: • Artículos • Pronombres Personales • Verbos Ser, Estar y Tener • Muy / Mucho • Presente de Indicativo • Acentuación • Pronombres de Complemento Directo • Gerundio • Participio • Futuro • Pretérito Indefinido • Pretérito perfecto compuesto • Imperativo …and many more coming in the next updates! This app does not require an internet connection to work.

Master the mechanics of Linear Programming with an industrial-grade, visual Simplex solver. Whether you are an undergraduate student tackling Operations Research homework or an engineer optimizing complex systems, this app provides a high-performance, native environment to solve and visualize linear models. Built with Apple’s Accelerate Framework (vDSP), the engine performs hardware-accelerated matrix operations for desktop-class speed on your mobile device. Why this is the ultimate optimization tool: Visualize the Feasible Region: See your constraints come to life on an interactive Canvas. Plot the quadrant, identify intersection points, and explore the feasible region with intuitive gestures. The Simplex Journey: Watch the algorithm navigate from the origin to the optimal solution. Our "Visual Walker" tracks every iteration, highlighting each vertex transition with a clear, orange path. Professional Grade Logic: Full support for Big-M and Two-Phase methods. Easily handle ≤, ≥, and = constraints without needing to manually convert your model. Precision Entry: Clean, monospaced interface featuring color-coded inputs for coefficients, objective goals, and variable signs. Education-First Design: Perfect for learning the geometry behind the algebra. Follow the path, analyze the coordinate labels, and see exactly where the "Optimal" solution sits in the coordinate plane. Purely Native: No web wrappers or lag. Experience a fluid SwiftUI interface designed for "Engineering Soul"—performance, clarity, and reliability. Student & Professional Value Proposition For Students: Use it as a powerful "Check Your Work" tool. Compare your manual pivot steps against the visual path and verify your feasible region boundaries. For Professionals: Quickly prototype constraints and objectives on the go with a solver that respects hardware limitations and mathematical rigor.