Polynomial vs RYURAKU

The PolynomialSolver is carefully designed to be a simple and elegant app. Easy to use, easy to understand, simple and effective It solves (finds all the roots) polynomials of any order (any degree). Roots can be real, complex or combination of both. No problem. This app has you covered. To find all the solutions, it uses Aberth Ehrlich algorithm for higher order polynomials. The polynomial is beautifully presented in mathematical format. You can also solve multiple polynomials at once. You can also share the polynomial and its solution. Perform the polynomial division to find the quotient and remainder. This app also plots beautiful graph of the polynomial(s) so that you can visualize the solution in the graph. The graph can be shared with other or it can be saved locally on your device. It automatically saves your hard work locally on your device so you can come back and pick up from where you left off as your great effort will not be lost. This is a perfect app if you are a student learning to solve these kind of equations. There is also a Study page to help you with learning some important polynomial concepts. This is an app for all student groups. From high school to college to university students. Be creative. Enjoy the app!

RYURAKU is an interactive educational simulation app for experiencing fluid dynamics phenomena firsthand. Developer: Fuji Bit Inc. The 6th title in the SUUGAKU / BUTURAKU / DENRAKU / HARAKU / NETURAKU series. The theme is "flow." Discover the wonders of fluid physics through 12 hands-on simulations. 12 simulations in 3 categories: - Flow basics - Streamlines: particles reveal potential flow around a cylinder in a uniform stream. Drag the obstacle and watch the flow field change in real time. - Bernoulli's Principle: flow through a Venturi tube with live pressure gauges. Watch speed rise and pressure drop where the pipe narrows, and see A1v1 = A2v2 at work. - Reynolds Number: laminar-turbulent transition in pipe flow. Adjust speed, viscosity and diameter and see the dramatic change at Re ≈ 2300. - Boundary Layer: a boundary layer growing over a flat plate, from the laminar Blasius solution to turbulent transition at Re_x ≈ 5×10^5. - Darcy's Law: slow flow through porous media such as sand or rock. Adjust permeability, pressure gradient and porosity to experience q = (k/μ)·∇P, the law behind groundwater, oil reservoirs and filters. - Vortices & lift - Vortex: point vortices and their mutual induction. Tap to add a counterclockwise vortex, long-press for clockwise. - Kármán Vortex Street: alternating vortex shedding behind a cylinder, with live Strouhal and Reynolds numbers. - Lift Force: flow around an airfoil and how lift and drag arise. Change the angle of attack or camber and watch the force vectors. - Magnus Effect: asymmetric flow and a sideways force on a spinning cylinder: the physics of curveballs and banana kicks. - Water & gravity - Buoyancy (new): Archimedes' principle. Change the object and fluid densities to find where things float, sink or hang in balance. Drag the object under, let go, and watch it bob until it settles with a submerged fraction of ρ_s/ρ_f. - Torricelli's Law (new): water jetting from a hole in a tank. See the exit speed v = √(2gh), the falling water level and the jet range R = 2√(y₀h). Drag the hole to find the height that throws the water farthest. - Surface Wave: free-surface gravity waves. As the depth-to-wavelength ratio changes, particle orbits shift smoothly from circles (deep water) to flattened ellipses (shallow water). Features: - Real-time parameter adjustment for every simulation - A hint on how to try each screen, plus an explanation with formulas - Live physics formulas and values - Works with large text sizes, landscape, iPad and Split View - Taps and drags can also be done with buttons and sliders (works with VoiceOver and Switch Control) - 16 languages (English, Japanese, Chinese Simplified / Traditional, Korean, Spanish, Portuguese, German, French, Hindi, Indonesian, Russian, Italian, Turkish, Thai, Vietnamese) - Dark mode / Light mode Pricing & ads: - Free. No in-app purchases, subscriptions or paid unlocks - A banner ad (Pangle) is shown at the bottom of the screen - Ads are personalized only if you allow tracking (ATT). You can also turn off personalized ads from "About this app" > "Ad settings" Recommended for: - Students studying fluid dynamics in physics class - Anyone who wants to understand how flow behaves - Teachers looking for interactive teaching materials - Anyone interested in aeronautics or fluid mechanics