923 research outputs found
Vector cross product in n-dimensional vector space
The definition of vector cross product (VCP) introduced by Eckmann only
exists in thethree- and the seven- dimensional vector space. In this paper,
according to the orthogonal completeness, magnitude of basis vector cross
product and all kinds of combinations of basis vector , the
generalized definition of VCP in the odd n-dimensional vector space is given by
introducing a cross term . In addition, the definition is validated by
reducing the generalization definition to the fundamental three- and
seven-dimensional vector space.Comment: 9 pages, 1 figure, comments are welcom
Probing Human Response Times
In a recent preprint \cite{eck}, the temporal dynamics of an e-mail network
has been investigated by J.P. Eckmann, E. Moses and D. Sergi. Specifically, the
time period between an e-mail message and its reply were recorded. It will be
shown here that their data agrees quantitatively with the frame work proposed
to explain a recent experiment on the response of ``internauts'' to a news
publication \cite{www2} despite differences in communication channels, topics,
time-scale and socio-economic characteristics of the two population. This
suggest a generalized response time distribution for human
populations in the absence of deadlines with important implications for
psychological and social studies as well the study of dynamical networks.Comment: 6 pages including 2 figures. Subm. for Proceedings of Frontier
Science 200
Experiments on Internet Response
This paper suggests a generalized distribution of response times to new
information for human populations in the absence of deadlines.
This has important implications for psychological and social studies as well
the study of dynamical networks such as the WWW.Comment: 4 figures 6 page
Inertia tensor and cross product In n-dimensions space
We demonstrated using an elementary method that the inertia tensor of a
material point and the cross product of two vectors were only possible in a
three or seven dimensional space. The representation matrix of the cross
product in the seven dimensional space and its properties were given. The
relationship between the inertia tensor and the octonions algebra was
emphasized for the first time in this work
POOL File Catalog, Collection and Metadata Components
The POOL project is the common persistency framework for the LHC experiments
to store petabytes of experiment data and metadata in a distributed and grid
enabled way. POOL is a hybrid event store consisting of a data streaming layer
and a relational layer. This paper describes the design of file catalog,
collection and metadata components which are not part of the data streaming
layer of POOL and outlines how POOL aims to provide transparent and efficient
data access for a wide range of environments and use cases - ranging from a
large production site down to a single disconnected laptops. The file catalog
is the central POOL component translating logical data references to physical
data files in a grid environment. POOL collections with their associated
metadata provide an abstract way of accessing experiment data via their logical
grouping into sets of related data objects.Comment: Talk from the 2003 Computing in High Energy and Nuclear Physics
(CHEP03), La Jolla, Ca, USA, March 2003, 4 pages, 1 eps figure, PSN MOKT00
A Cheeger-Buser-Type inequality on CW complexes
We extend the definition of boundary expansion to CW complexes and prove a
Cheeger-Buser-Type relation between the spectral gap of the Laplacian and the
expansion of an orientable CW complex
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