36,892 research outputs found
Foreward
In this forward, Rodney L. Petersen discusses the relationship between science and religion and their importance to each other
Foreward
In this forward, Rodney L. Petersen discusses the relationship between science and religion and their importance to each other
Foreward
In this forward, Rodney L. Petersen discusses the relationship between science and religion and their importance to each other
Character varieties of once-punctured torus bundles with tunnel number one
We determine the PSL_2(C) and SL_2(C) character varieties of the
once-punctured torus bundles with tunnel number one, i.e. the once-punctured
torus bundles that arise from filling one boundary component of the Whitehead
link exterior. In particular, we determine `natural' models for these algebraic
sets, identify them up to birational equivalence with smooth models, and
compute the genera of the canonical components. This enables us to compare
dilatations of the monodromies of these bundles with these genera. We also
determine the minimal polynomials for the trace fields of these manifolds.
Additionally we study the action of the symmetries of these manifolds upon
their character varieties, identify the characters of their lens space
fillings, and compute the twisted Alexander polynomials for their
representations to SL_2(C).Comment: 49 pages, 6 figure
Evaluation of an envelope-limiting device using simulation and flight test of a remotely piloted research vehicle
The operating characteristics of a nonlinear envelope-limiting device were investigated at extreme flight conditions by using a real time digital aircraft spin simulation and flight tests of a scale model remotely piloted research vehicle. A digital mechanization of the F-15 control system, including the stall inhibiter, was used in the simulation and in the control system of the scale model. The operational characteristics of the stall inhibiter and the effects of the stall inhibiter on the spin susceptibility of the airplane were investigated
Equidistribution of Algebraic Numbers of Norm One in Quadratic Number Fields
Given a fixed quadratic extension K of Q, we consider the distribution of
elements in K of norm 1 (denoted N). When K is an imaginary quadratic
extension, N is naturally embedded in the unit circle in C and we show that it
is equidistributed with respect to inclusion as ordered by the absolute Weil
height. By Hilbert's Theorem 90, an element in N can be written as
\alpha/\bar{\alpha} for some \alpha \in O_K, which yields another ordering of
\mathcal N given by the minimal norm of the associated algebraic integers. When
K is imaginary we also show that N is equidistributed in the unit circle under
this norm ordering. When K is a real quadratic extension, we show that N is
equidistributed with respect to norm, under the map \beta \mapsto \log| \beta |
\bmod{\log | \epsilon^2 |} where \epsilon is a fundamental unit of O_K.Comment: 19 pages, 2 figures, comments welcome
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