Hamilton's algebra of quaternions is introduced and implemented using Mathematica Version 4. The polar form of a quaternion is developed and is applied to the problem of ...

In the paper, the problem of simulation of quantum error correction by means of error correcting codes is discussed. Examples of error correction by means of quantum circuits ...

The boundary modulation technique combines the strengths of the boundary element method with the analytical Fourier series representation. The relevant lengthy algebra and ...

Symbolic simulation is a technique, which combines symbolic and numerical solutions of a system of linear or nonlinear algebraic equations. One parameter is left in symbolic ...

Although it is in principle possible to compute dispersion curves for a buried low-density channel by numerical means, the interpretation of such results is fraught with ...

Solving inequalities is a very important topic in computational algebra. In fact, the most important computer algebra systems include sophisticated tools for solving ...

Mathematica contains all linear algebraic tools necessary for working in Euclidean Geometry. The notebook "Euclidean Geometry" shows these tools and some variations of them ...

We use the cylindrical algebraic decomposition algorithms implemented in Mathematica to produce procedures to analytically compute integrals over polynomially defined regions ...

Mathematica has the most extensive collection of mathematical functions ever assembled. Often relying on original results and algorithms developed at Wolfram Research over ...

Using a MathematicaTM code, we present a straightforward numerical analysis of the 384-dimensional solution space of signed permutation 4×4 matrices, which in sets of four, ...