path integral vs ARURAKU

This app introduces the path integral formalism in quantum mechanics. You can have some understanding for the path integral formalism.

An educational visualization app that lets you UNDERSTAND algorithms by watching them — not by reading. Three classic areas of computer science come alive with interactive animations: Sorting, Searching, and Recursion. [ Sorting - 6 algorithms ] - Bubble Sort / Selection Sort / Insertion Sort - Merge Sort / Quick Sort / Heap Sort Race Mode runs multiple algorithms side by side on the same array — feel the difference in complexity at a glance. [ Searching - 4 algorithms ] - Breadth-First Search (BFS) / Depth-First Search (DFS) - Dijkstra's Algorithm / A* Search Visualize pathfinding on a grid maze. You can place walls yourself. [ Recursion ] - Tower of Hanoi - Fractals: Koch curve, Sierpinski triangle, recursive tree [ Features ] - Grasp WHAT IS HAPPENING through color and motion - Adjustable speed, step-by-step execution, multiple array presets - Each algorithm includes mechanism, complexity, pros and cons, and real-world usage notes - Ads never interrupt the animation - designed to preserve focus - Universal app for iPhone and iPad - Japanese and English (follows OS language) [ Who is this for ] - Students learning programming for the first time - Anyone preparing for IT exams - Engineers who want to deepen their intuition about algorithms - Curious minds who love watching things move [ Note on pricing ] This app is completely free with no in-app purchases or subscriptions. To support development and maintenance we display Google AdMob banner and interstitial advertising. Ads are never shown while an algorithm animation is playing. The first information-systems title of the Raku Series.