The condition for the DAE index to be higher than one is calculated symbolically. Using Analog Insydes a function for the computer algebra system Mathematica is written. It ...

The present notebook shows how one can solve a system of nonlinear algebraic equations using NDSolve. The solution to the algebraic equations is indeed the steady state ...

This notebook can be used to help students in physical chemistry, or other related classes, better understand path integrals in thermodynamics. The notebok attempts to ...

This notebook illustrates the solution of four simultaneous ordinary differential equations with three constant initial boundary conditions and one algebraic final boundary ...

The notebook shows a projection from four-dimensional space of the so-called projective variety that represents all possible solutions of the equation x^n + y^n == z^n for ...

Mathematica is used to solve the equations of motion for three masses attached to each other and a surrounding box by elastic springs. The simultaneous equations describing ...

The package NumericalMath`SplineFit` produces functions which cannot be directly differentiated. This notebook illustrates a numerical approach to taking derivatives of ...

This text is designed for advanced undergraduate and graduate students in the physical and engineering sciences as well as for professionals. It offers a comprehensive ...

The School of Information Environment of Tokyo Denki University was founded in 2001, and at this school we adopted a new system of mathematics education based on Mathematica. ...

This notebook gives a faster way of approximating Factorial[n] for large n. This approximation is known to be correct to 21 decimal places for any n greater than 49105 but ...