SimplexLP vs 3D Rotations and Quaternions

SimplexLP solves linear optimization problems, which can be mathematically described with an objective function and a set of constraints. With the new graphical representation (possible with 2 variables only) it is a lot easier to understand the theoretical concept of linear optimization! SimplexLP is the perfect learning companion for teachers (to set up problems) and students (to learn the Simplex algorithm). It is very easy to change coefficients and see how the solution varies. For the calculation the famous Simplex algorithm is used. With SimplexLP you can: – easily set up the objective function and the constraints; – solve maximization and minimization problems; – solve problems with unlimited number of variables and constraints; – solve problems with ≤, ≥ and = (in)equalities; – get all the possible solutions ("edges") to a problem; – get accurate calculations with fractions; – get your output in fractions or decimal values; – set a fixed value in the objective function, e.g. for fixed costs; – set the tab width (via a simple swipe gesture) to format the tableaus; – get a graphical representation of optimization problems with 2 variables. With SimplexLP linear optimization really makes fun!

3D Rotations and Quaternions is an interactive tool for users who work with 3D orientation math in graphics, roboticsor simulation. It provides precise computations, clean visualizations, and fast conversions between the standard rotation representations. Features include: • Conversion between Euler angles, axis–angle, quaternions, and rotation matrices • Interactive 3D visualization and rotation animation • Quaternion interpolation (LERP and SLERP) • Rotation of user-defined points by user-defined quaternions • Determination of a quaternion that rotates vector v into vector w • Composition of up to 10 sequential quaternion rotations • Quaternion generation from constant angular velocity and time • Reflection of a point across a plane Feedback and suggestions: graphmath@aol.com