Given a Heath–Jarrow–Morton (HJM) interest rate model M and a parametrized family of finite dimensional forward rate curves G, this paper provides a technique for projecting the infinite dimensional forward rate curve rt given by M onto the finite dimensional manifold G. The Stratonovich dynamics of the projected finite dimensional forward curve are derived and it is shown that, under the regul...

James Klosky, U.S. Military Academy Led Klosky is an Associate Professor and Director of the Mechanics Group in the Department of Civil and Mechanical Engineering at the United States Military Academy at West Point. He is a registered Professional Engineer in Maryland. Dr. Klosky received his B.S. and M.S. degrees in Civil Engineering from Virginia Polytechnic Institute in 1987 and 1988, respec...

The concept of occupationalther­ apy as a "science of adaptive responses," as proposed by King in her 7978 Eleanor Clarke Slagle Lecture, is explored and expanded on in this article. The authors pos­ tulate an adaptation continuum consIsting of homeostatzc reac­ tions, adaptive responses, adaptIVe skills, and adaptive patterns-a continuum that places the adap­ tive response in a sequential and ...

In a recent paper in Religious Studies, Clarke criticizes Mumford’s definition of a miracle as it fails to recognize a supernatural agent capable of intent. Clarke believes that in order for an event to qualify as a miracle a supernatural agent must intend it. It is my aim to dismiss this qualification and demonstrate how Mumford’s intent-neutral definition is less problematic. I will do this b...

In this paper, we introduce a new concept of generalized matrix rings and build up the general theory of radicals for g.m.rings. Meantime, we obtain r̄b(A) = g.m.rb(A) = ∑ {rb(Aij) | i, j ∈ I} = rb(A)