63,736 research outputs found
A q-Analog of Dual Sequences with Applications
In the present paper combinatorial identities involving q-dual sequences or
polynomials with coefficients q-dual sequences are derived. Further,
combinatorial identities for q-binomial coefficients(Gaussian coefficients),
q-Stirling numbers and q-Bernoulli numbers and polynomials are deduced.Comment: 14 page
A Criterion for Comparing Measurement Results and Determining Conformity with Specifications
In this paper a new criterion for comparing measurement results and determining conformity with specifications is proposed, which essentially is a strategy of estimating the empirical relationships of objects. Comparing with traditional methods given in GUM: 2008 and ISO 14253-1, this criterion improves the resolution of comparison by reducing the sizes of the coverage intervals to be compared. Interval order (a binary relation) is used for comparing the coverage intervals of the measurand and represents the empirical relations. The systematic effects of measurement are classified into two types: monotonic and non-monotonic effects, so that, without correcting the monotonic effects, a biased measurand can be specified to represent the empirical relations. Thereby the uncertainty components arising from the monotonic effects can be removed from the combined uncertainty. A strategy is given for determining the relationships among measurement results and specification limits. An example is given to demonstrate the application of the criterion
Recommended from our members
'BioNessie(G) - a grid enabled biochemical networks simulation environment
The simulation of biochemical networks provides insight and
understanding about the underlying biochemical processes and pathways
used by cells and organisms. BioNessie is a biochemical network simulator
which has been developed at the University of Glasgow. This paper
describes the simulator and focuses in particular on how it has been
extended to benefit from a wide variety of high performance compute resources
across the UK through Grid technologies to support larger scale
simulations
The Architecture of a Novel Weighted Network: Knowledge Network
Networked structure emerged from a wide range of fields such as biological
systems, World Wide Web and technological infrastructure. A deeply insight into
the topological complexity of these networks has been gained. Some works start
to pay attention to the weighted network, like the world-wide airport network
and the collaboration network, where links are not binary, but have
intensities. Here, we construct a novel knowledge network, through which we
take the first step to uncover the topological structure of the knowledge
system. Furthermore, the network is extended to the weighted one by assigning
weights to the edges. Thus, we also investigate the relationship between the
intensity of edges and the topological structure. These results provide a novel
description to understand the hierarchies and organizational principles in
knowledge system, and the interaction between the intensity of edges and
topological structure. This system also provides a good paradigm to study
weighted networks.Comment: 5 figures 11 page
BioNessie - a grid enabled biochemical networks simulation environment
The simulation of biochemical networks provides insight and understanding about the underlying biochemical processes and pathways used by cells and organisms. BioNessie is a biochemical network simulator which has been developed at the University of Glasgow. This paper describes the simulator and focuses in particular on how it has been extended to benefit from a wide variety of high performance compute resources across the UK through Grid technologies to support larger scale simulations
- ā¦