Spinoza's Gottesbegriff. Elmer E. Powell

Edwin Powell Hubble

A multivariate Powell-Sabin interpolant

We consider the problem of constructing a C1 piecewise quadratic interpolant, Q, to positional and gradient data defined at the vertices of a tessellation of n-simplices in IR. The key to the interpolation scheme is to appropriately subdivide each simplex to ensure that certain necessary geometric constraints are satisfied by the subdivision points. We establish these constraints using the Bern...

Convergence Properties of Beale - Powell

The Beale-Powell restart algorithm is highly useful for large-scale unconstrained optimization. In this paper, we use an example to show that the algorithm may fail to converge. The global convergence of a slightly modiied algorithm is proved.

The Elmer L. Andersen Library: Accomplishing the Impossible

USING THE PLANNING, DESIGN, A N D CONSTRUCTION of the Elmer L. Aiidersen Library as a case study, this article explores the variety of planning and design issues that must be addressed in the building process. The Andersen Library is unique for its site selection and for the successful joining of eight archives and special collection units in a single building. This exploration looks at how the...

Supersymmetry in Quantum Mechanics Josh Powell

Hence, there is an eigenstate |ψ〉 = A|φ〉 of H with this same energy eigenvalue. We could equally well have begun with the statement that H|ψ〉 = E|ψ〉 and then found a state of H given by |φ〉 = A†|ψ〉 with the same energy. Note that a Hamiltonian of the two given forms will have only non-negative eigenvalues: 〈ψ|A†A|ψ〉 = ∣∣|Aψ〉∣∣2 ≥ 0. Equality holds only if the state is annihilated by A. Analogou...