Star Guide vs Simplex Linear Programming

Turn your phone into a real‑time planetarium. Star Guide helps you explore the night sky, identify stars and planets, and plan the best moments to look up—whether you’re stargazing tonight or previewing the sky months from now. Point your device upward to see what’s above you, switch on Augmented Reality (AR) for an immersive sky overlay, and explore celestial objects in 3D. Want to plan ahead? Travel through time to see how the sky changes in the past or future, and preview the view from different locations around the world. Key features • Live star finder & planetarium view Explore the night sky based on your position and direction. • Augmented Reality mode Overlay stars and planets on your camera view for easy identification. • 3D stars & planets Visualize objects in a more immersive way and explore in 3D. • Best viewing time notifications Get alerts for great stargazing moments and upcoming viewing opportunities. • 24‑hour sky motion preview See how a star moves and circles across the sky over a full day. • Past & future sky “time travel” Rewind to previous nights or fast‑forward to plan future observations. • Different locations Change your location to preview the sky from other places—perfect for trips. Great for • Casual stargazing from your backyard • Learning the night sky with an interactive planetarium • Planning the best time to spot planets • Exploring how the sky looks from other cities and countries Permissions (why they may be requested) • Location: improves sky accuracy for your current position • Camera: required for AR mode • Notifications: optional alerts for best viewing times Download Star Guide and start exploring the sky—right from your pocket.

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.