3D Rotations and Quaternions 对比 ODE-Solver-Integrator Pro 的使用情况和统计数据
“3D Rotations and Quaternions” app helps understand and visualize 3D rotations.
Chapters 1-3
Conversions, algorithms, interactive graphs, and animations of the four standard 3D rotation representations:
1. Euler angles.
2. Axis - angle.
3. Quaternion.
4. Rotation matrix.
The user can define rotation as Euler angles, axis-angle, or Quaternion to convert it to the other representations.
Chapter 4
Data, algorithms, graphs and animations for both linear and spherical interpolation between two quaternions.
Chapter 5
Visualization and data for rotation of user-defined point by user-defined Quaternion.
Chapter 6
Data, calculation algorithm, corresponding matrix, and interactive graph for the quaternion that results in rotation between user-defined vectors v and w.
Chapter 7
Serial rotations with up to 10 quaternions.
Chapter 8
Quaternion calculation based on constant angular velocity and time.
Chapter 9
Reflection of a point across a plane.
Developers hope to get feedback from users at graphmath@aol.com.
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The ODESolverIntegrator is a simple but elegant app to find the integral of ODEs.
You can solve (find the integral of) nonlinear ODEs.
You can reduce the higher order ODE to a set of first order ODEs.
You can solve (find the integral of) linear ODEs in the form of ẋ = Ax + Bu; y = Cx + Du.
This app uses Runge-Kutta 4th order algorithm to solve the ODEs.
Once the ODEs are solved, a beautiful interactive graph for each ODE's is created that you can share with other or save it locally.
The reduced ODE's equations are presented beautifully in the math-equation format.
You can compute definite integral (single, double, tripple). It uses the midpoint method.
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 app also has a Study page to help you learn important integration rules like, power rule, product rule, ect.
This app is perfect for students learning calculus.
Sharpen you brain by using this app and learning about the calculus.
This is an app for all student groups. From high school to college to university students.
Be creative. Enjoy the app!
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3D Rotations and Quaternions VS. 
ODE-Solver-Integrator Pro十二月 15, 2024