Cellular sets in the Hilbert cube are the intersection of nested sequences of normal
cubes. One way of getting cellular maps on the Hilbert cube is by decomposing the Hilbert
cube into cellular sets and using a quotien ...
For the past thirty years the majority of the
research on the cognitive demands of learning computer
programming has assumed that successful computer
programmers display certain aptitudes. Some
researchers indicate t ...
In this thesis we define two nxn matrices T and S to be isoconjunctive if there exists an nxn nonsingular hermitian matrix H such that T = HSH. We then proceed to establish necessary and sufficient conditions that two nx ...
In 1964, Zarantonello published a constructive method for
the solution of certain nonlinear problems in a Hilbert space. We
extend the method in various directions including a generalization
to a Banach space setting. ...
The first published notion that the j-function was in any way related to the Monster came in 1979, when Conway and Norton noted in [CN79] that each coefficient in the q- expansion of the j-function could be written as a ...
The existence of generalized symmetries of Maxwell's equations in G¨odel's Universe
is investigated. It is shown that their existence is in turn tied to the existence of certain
spinorial objects called Killing spinors ...
Large deviation theory has experienced much development and interest in
the last two decades. A large deviation principle is the exponential decay of the
probability of increasingly rare events and the computation of a ...
Research in digital computers takes two paths: one uses the
computer as a tool to reach certain objectives; on the other, the computer
itself is the object of research. The NEBULA computer was
built with the latter in ...
If P is an integer polynomial denote the degree of P by ∂(P) and let H(P) be the maximum of the absolute value of the coefficients of P. Define Λ(P)=2[superscript ∂(P)]H(P) and for a fixed prime p let C[subscript p] den ...
The purpose of this study was to detail mathematical knowledge that supports the work of teaching proof and to investigate how such knowledge is evidenced in professional development (PD). To advance the construct of mat ...
A mathematical model simulating mass transport of chemicals
in saturated porous medium is given in four parts. Included in the
development is the physical phenomenon of adsorption of molecules
of chemicals on the surr ...
This paper studies necessary and sufficient conditions for
a matrix to be conjunctive with its adjoint. The problem is solved
completely in the usual complex case, in which it is shown that a
matrix is conjunctive to ...