Mantaci et al have shown that if a word x on the alphabet {a, b} has a Burrows-Wheeler Transform of the form ba then x is a conjugate or a power of a conjugate of a standard word. We give an alternative proof of this result and describe words on the alphabet {a, b, c} whose transforms have the form cba. These words have some common properties with standard words. We also present some results ab...

The lossless Burrows-Wheeler Compression Algorithm has received considerable attention over recent years for both its simplicity and effectiveness. It is based on a permutation of the input sequence − the Burrows-Wheeler Transform − which groups symbols with a similar context close together. In the original version, this permutation was followed by a Move-To-Front transformation and a final ent...

Author’s Note. The material of this chapter, while quoting extensively from other work, is in part a summary of my own experience and thoughts in working with the Burrows-Wheeler compression algorithm. Some of it is accordingly rather less formal in style than might otherwise be the case, as I give more personal opinions on various aspects. Where my own work already appears in the public domain...

We present a discrete form of the Wheeler-DeWitt equation for quantum gravitation, based on the lattice formulation due to Regge. In this setup the infinite-dimensional manifold of 3geometries is replaced by a space of three-dimensional piecewise linear spaces, with the solutions to the lattice equations providing a suitable approximation to the continuum wave functional. The equations incorpor...

Sequence stratigraphic and Wheeler diagram interpretations require a strong combination of conceptual understanding reasoning skills. Students are generally exposed to the foundational concepts within sequence stratigraphy (relative sea level, eustasy, base accommodation) in variety courses along their degree path, however, one prior study found that few students have clear scientific understan...