The dimensions in the previous examples are analysed using Rayleigh's Method. Alternatively, the relationship between the variables can be obtained through a method called Buckingham's π. Buckingham ' s Pi theorem states that: If there are n variables in a problem and these variables contain m primary dimensions (for example M, L, T) the equation relating all the variables will have (n-m) dimen...

687 Edgar Buckingham became involved with soil physics for 5 yr at the turn of the twentieth century. His general goal was to advance understanding of moisture movement and evaporation from soils to improve irrigation and crop management. Specifi cally, he was interested in elucidating why evaporation from near the soil surface in arid areas during summer months was self-limiting (Buckingham, 1...

We refine the definition of the fractional Galois ideal introduced in [Paul Buckingham. The canonical fractional Galois ideal at s = 0. J. Number Theory, 128(6):1749–1768, 2008] which was based on Snaith’s fractional ideal, allowing us to give a general relationship of this object with the Stark elements appearing in Rubin’s integral sharpening of Stark’s Conjecture. We motivate this by using t...

In the absence of governing equations, dimensional analysis is a robust technique for extracting insights and finding symmetries in physical systems. Given measurement variables parameters, Buckingham Pi theorem provides procedure set dimensionless groups that spans solution space, although this not unique. We propose an automated approach using symmetric self-similar structure available data t...

We refine the definition of the fractional Galois ideal introduced in [Paul Buckingham. The canonical fractional Galois ideal at s = 0. J. Number Theory, 128(6):1749–1768, 2008] which was based on Snaith’s fractional ideal, allowing us to give a general relationship of this object with the Stark elements appearing in Rubin’s integral sharpening of Stark’s Conjecture. We motivate this by using a...

HF level of ab initio calculations with basis-set 6-31G including full counterpoise correction hasbeen applied to compute the AspHis potential with the Ser and HisSer potential with the Asp inAspHisSer trimer. The potential energy surface has a minimum of -16.765 kcal/mol in R1=1.912nm and R2=2.719 nm. The optimum computed curves for two interactions were fitted withintermolecular pair potentia...

Early Days of the Department Education at University Buckingham: A Personal View