Prof. L. R. Wilberforce

Prof. Dr. Prof. Prof.

Contributions of Prof . James R . Melcher to engineering education

This paper reviews the teaching and research career of the late Professor James R. Melcher. It describes his approach to the teaching of electric and magnetic fields bolstered by the lecture demonstrations he had developed. He is considered the founder of the modern day field of electrohydrodynamics. His undergraduate courses, reinforced by educational films which are briefly described, gave st...

Finding Compact L. R. Nackman

Practical solid modeling systems are plagued by numerical problems that arise from using floating-point arithmetic. For example, polyhedral solids are often represented by a combination of geometric and combinatorial information. The geometric information may consist of explicit plane equations, with floatingpoint coefficients; the combinatorial information may consist of face, edge, and vertex...

On R L Cohen’s –element

Let p be a prime greater than three. In the p–local stable homotopy groups of spheres, R L Cohen constructed the infinite –element n 1 2 2pnC1 2pnC2p 5.S/ of order p . In the stable homotopy group 2pnC1 2pnC2p2 3.V .1// of the Smith– Toda spectrum V .1/ , X Liu constructed an essential element $k for k 3 . Let ˇ s D j0j1ˇ s 2 ŒV .1/;S 2sp2 2s 2p denote the Spanier–Whitehead dual of the generat...

Proper Forcing and L(r)

We present two ways in which the model L(R) is canonical assuming the existence of large cardinals. We show that the theory of this model, with ordinal parameters, cannot be changed by small forcing; we show further that a set of ordinals in V cannot be added to L(R) by small forcing. The large cardinal needed corresponds to the consistency strength of ADL(R); roughly ω Woodin cardinals.