Turing Machine Simulator vs Distributions

This app is a Turing Machine Simulator. Students of computer science and maths are probably familar with Turing Machines, because the Turing Machine is one of the important models when analyzing if mathematical problems or algorithms are computable. Usually dealing with Turing machines requires paper and pencil for simulating the program execution. This app can help by providing several ways to execute Turing programs and analyze it in an easy and comfortable way. You can write new programs for the Turing Machine, execute them and analyze the execution even step by step. It's also possible to change the speed of the execution. It's possible to export and import Turing programs using email. The app comes with some example Turing programs to play with.

Drag the curve. Shade a region. Watch probability respond. Distributions is a modern statistics study tool for students, educators, and anyone who wants to feel how probability distributions behave—not just memorize formulas. EXPLORE 41 DISTRIBUTIONS Browse discrete and continuous families with interactive PDF/PMF and CDF charts, live parameter sliders, descriptive statistics, examples, and random sampling. Search, favorites, recents, and side-by-side comparison keep the catalog usable on iPhone and iPad. TOUCH THE MATH Drag parameters on the chart and see the shape move. Turn on Probability mode to shade continuous regions or select discrete values and read the probability instantly. Typeset formulas stay linked to the live parameters. LEARN DEEPER Practice with Guess-the-Distribution quizzes, walk a relationship map between families, look up a searchable glossary, and check live z, t, and χ² critical values—all offline. ON-DEVICE AI (APPLE INTELLIGENCE) Ask the Distribution Advisor to suggest a distribution from a scenario, tap Explain for contextual teaching prompts, and optionally mix AI-generated quiz questions. AI output is labeled and advisory; exact probabilities and quantiles always come from the app’s calculator. When Apple Intelligence is unavailable, Explain and quizzes use built-in content and the Advisor tells you why it’s unavailable—everything else works the same. No accounts. No tracking. No third-party AI services. FIT MY DATA Paste or import a dataset, estimate candidate distributions, rank goodness of fit, inspect histogram and Q–Q overlays, and export reports. ONE-TIME PURCHASE Distributions is a paid app. One purchase includes all 41 distributions, interactive charts, calculators, Fit My Data, saved parameter sets, every quiz mode, exports, and unlimited on-device Advisor use. No subscriptions. No in-app purchases. No ads. Privacy-first by design: your exploration stays on your device.