The following equation is taken from my brother's algebra workbook. Sqrt(5-2*Sqrt(6))=Sqrt(3)-Sqrt(2) He always challenges me to prove these equations like this by ...

In the notebook and the packages we define basic operations for Lie algebras of matrices, and calculate the Killing forms of the following Lie algebras: the general linear ...

The objective of this package is to give the basic thermodynamic data on a large number of species involved in biochemical reactions at 298.15 K, 1 bar, and zero ionic ...

During the last three years the authors of this paper have been using Mathematica to develop symbolic computing tools that, at their present stage of development, allow to: ...

Geometry optimizations, rearrangement mechanisms, reaction pathways, spectral intensities, and tunneling splittings are reported for the water trimmer at various levels of ...

Standard optical imaging systems change their focal length by mechanical movement of lenses and lens groups along the optical axes. An alternative approach is realized in ...

Phase diagrams involving solid solutions are calculated by solving sets of non-linear equations. In calculating P-T projections and compatibility diagrams, the equations used ...

A long-wavelength model of polar optical modes coupling the vibration amplitude mu (the relative displacement vector) and the electrostatic potential psi leads to a system of ...

An important aspect of HCCH-TOCSY-based multidimensional experiments of 13C-labeled proteins and nucleic acids is the optimization of 13C-13C TOCSY mixing time. For this ...

Bak, Tang, and Wiesenfeld (BTW) [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 36 (1988)] established that power law frequency dependencies in the power spectral density ...