3,229 research outputs found
Dimensions of Copeland-Erdos Sequences
The base- {\em Copeland-Erd\"os sequence} given by an infinite set of
positive integers is the infinite sequence \CE_k(A) formed by concatenating
the base- representations of the elements of in numerical order. This
paper concerns the following four quantities.
The {\em finite-state dimension} \dimfs (\CE_k(A)), a finite-state version
of classical Hausdorff dimension introduced in 2001.
The {\em finite-state strong dimension} \Dimfs(\CE_k(A)), a finite-state
version of classical packing dimension introduced in 2004. This is a dual of
\dimfs(\CE_k(A)) satisfying \Dimfs(\CE_k(A)) \geq \dimfs(\CE_k(A)).
The {\em zeta-dimension} \Dimzeta(A), a kind of discrete fractal dimension
discovered many times over the past few decades.
The {\em lower zeta-dimension} \dimzeta(A), a dual of \Dimzeta(A)
satisfying \dimzeta(A)\leq \Dimzeta(A).
We prove the following.
\dimfs(\CE_k(A))\geq \dimzeta(A). This extends the 1946 proof by Copeland
and Erd\"os that the sequence \CE_k(\mathrm{PRIMES}) is Borel normal.
\Dimfs(\CE_k(A))\geq \Dimzeta(A).
These bounds are tight in the strong sense that these four quantities can
have (simultaneously) any four values in satisfying the four
above-mentioned inequalities.Comment: 19 page
Dimensions of Copeland-Erdos Sequences
The base-k Copeland-Erdös sequence given by an infinite set A of positive integers is the infinite sequence CEk(A) formed by concatenating the base-k representations of the elements of A in numerical order. This paper concerns the following four quantities. • The finite-state dimension dimFS(CEk(A)), a finite-state version of classical Hausdorff dimension introduced in 2001. • The finite-state strong dimension DimFS(CEk(A)), a finite-state version of classical packing dimension introduced in 2004. This is a dual of dimFS(CEk(A)) satisfying DimFS(CEk(A)) ≥ dimFS(CEk(A)). • The zeta-dimension Dimζ(A), a kind of discrete fractal dimension discovered many times over the past few decades. • The lower zeta-dimension dimζ(A), a dual of Dimζ(A) satisfying dimζ(A) ≤ Dimζ(A). We prove the following. 1. dimFS(CEk(A)) ≥ dimζ(A). This extends the 1946 proof by Copeland and Erdös that the sequence CEk(PRIMES) is Borel normal. 2. DimFS(CEk(A)) ≥ Dimζ(A). 3. These bounds are tight in the strong sense that these four quantities can have (simultane-ously) any four values in [0, 1] satisfying the four above-mentioned inequalities
Status of a DEPFET pixel system for the ILC vertex detector
We have developed a prototype system for the ILC vertex detector based on
DEPFET pixels. The system operates a 128x64 matrix (with ~35x25 square micron
large pixels) and uses two dedicated microchips, the SWITCHER II chip for
matrix steering and the CURO II chip for readout. The system development has
been driven by the final ILC requirements which above all demand a detector
thinned to 50 micron and a row wise read out with line rates of 20MHz and more.
The targeted noise performance for the DEPFET technology is in the range of
ENC=100 e-. The functionality of the system has been demonstrated using
different radioactive sources in an energy range from 6 to 40keV. In recent
test beam experiments using 6GeV electrons, a signal-to-noise ratio of S/N~120
has been achieved with present sensors being 450 micron thick. For improved
DEPFET systems using 50 micron thin sensors in future, a signal-to-noise of 40
is expected.Comment: Invited poster at the International Symposium on the Development of
Detectors for Particle, AstroParticle and Synchrotron Radiation Experiments,
Stanford CA (SNIC06) 6 pages, 12 eps figure
Analog to Digital : Transitions in Theory and Practice in Archaeological Photography at Çatalhöyük
Archaeology and photography has a long, co-constructed history that has increasingly come under scrutiny as archaeologists negotiate the visual turn. Yet these investigations do not make use of existing qualitative and quantitative strategies developed by visual studies to understand representation in archaeological photographs. This article queries the large photographic archive created by ongoing work at the archaeological site of Çatalhöyük in Turkey to consider the visual impact of changing photographic technologies and of a shifting theoretical focus in archaeology. While using content analysis and semiotic analysis to gain a better understanding of the visual record, these analyses also unexpectedly reveal power dynamics and other social factors present during archaeological investigation. Consequently, becoming conversant in visual analyses can contribute to developing more reflexive modes of representation in archaeology
The Interplay of “Big Five ” Personality Factors and Metaphorical Schemas: A Pilot Study with 20 Lung Transplant Recipients
The Qualitative Report Volume 12 Number 3 September 2007 397-413 http://www.nova.edu/ssss/QR/QR12-3/goetzmann.pdf The Interplay of “Big Five ” Personality Factors and Metaphorical Schemas: A Pilot Study with 20 Lung Transplant Recipients Lutz Goetzmann University Hospital Zurich, Zurich, Switzerland Karin S. Moser Roehampton University, London Esther Vetsch, Erhard Grieder, Richard Klaghofer, Rahel Naef, Erich W. Russi, Annette Boehler, and Claus Buddeberg University Hospital Zurich, Zurich, Switzerland The aim of the present study was to investigate the interplay between personality factors and metaphorical schemas. The “Big Five” personality factors of 20 patients after lung transplantation were examined with the NEO-FFI. Patients were questioned about their social network , and self- and body-image. The interviews were assessed with metaphor analysis. Significant positive correlations were found between “extraversion” and metaphors for acoustics, play/sport and economy, furthermore between “openness to experience” and metaphors for acoustics, container, battle, illness. A positive correlation was also found between “openness to experience” and metaphor frequency. Significant negative correlations were found between “conscientiousness” and metaphors for illness. The results indicate that personality factors may correspond with certain implicit metaphorical schemas
A prototype liquid Argon Time Projection Chamber for the study of UV laser multi-photonic ionization
This paper describes the design, realization and operation of a prototype
liquid Argon Time Projection Chamber (LAr TPC) detector dedicated to the
development of a novel online monitoring and calibration system exploiting UV
laser beams. In particular, the system is intended to measure the lifetime of
the primary ionization in LAr, in turn related to the LAr purity level. This
technique could be exploited by present and next generation large mass LAr TPCs
for which monitoring of the performance and calibration plays an important
role. Results from the first measurements are presented together with some
considerations and outlook.Comment: 26 pages, 27 figure
Orbital-driven Rashba effect in a binary honeycomb monolayer AgTe
The Rashba effect is fundamental to the physics of two-dimensional electron
systems and underlies a variety of spintronic phenomena. It has been proposed
that the formation of Rashba-type spin splittings originates microscopically
from the existence of orbital angular momentum (OAM) in the Bloch wave
functions. Here, we present detailed experimental evidence for this OAM-based
origin of the Rashba effect by angle-resolved photoemission (ARPES) and
two-photon photoemission (2PPE) experiments for a monolayer AgTe on Ag(111).
Using quantitative low-energy electron diffraction (LEED) analysis we determine
the structural parameters and the stacking of the honeycomb overlayer with
picometer precision. Based on an orbital-symmetry analysis in ARPES and
supported by first-principles calculations, we unequivocally relate the
presence and absence of Rashba-type spin splittings in different bands of AgTe
to the existence of OAM
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