380 research outputs found
Analysis and Synthesis of Digital Dyadic Sequences
We explore the space of matrix-generated (0, m, 2)-nets and (0, 2)-sequences
in base 2, also known as digital dyadic nets and sequences. In computer
graphics, they are arguably leading the competition for use in rendering. We
provide a complete characterization of the design space and count the possible
number of constructions with and without considering possible reorderings of
the point set. Based on this analysis, we then show that every digital dyadic
net can be reordered into a sequence, together with a corresponding algorithm.
Finally, we present a novel family of self-similar digital dyadic sequences, to
be named -sequences, that spans a subspace with fewer degrees of freedom.
Those -sequences are extremely efficient to sample and compute, and we
demonstrate their advantages over the classic Sobol (0, 2)-sequence.Comment: 17 pages, 11 figures. Minor improvement of exposition; references to
earlier proofs of Theorems 3.1 and 3.3 adde
Domótica e a requalificação de edifícios
Para a elaboração deste artigo técnico foi necessário adoptar
uma estrutura que possibilitasse fornecer um estudo teóricoprático,
transversal e equilibrado, das diferentes tecnologias
domóticas.
Inicialmente realizou-se um pequeno estudo teórico das
tecnologias domóticas mais relevantes, de uma forma
transversal e resumida (Capítulo 2). Em função do estudo teórico do capítulo anterior, no
Capítulo 3 realizou-se uma análise mais prática, em que ao
invés de abordar um caso prático existente, de grandes
instalações com o seu valor emblemático, optou-se por
utilizar como modelo o edifício F do Instituto Superior de
Engenharia do Porto e apresentar uma das soluções possíveis
de implementação de tecnologias domóticas em edifícios já existentes (aplicação do conceito de requalificação de
edifícios). Depois da exposição do caso prático, expôs-se o futuro e
oportunidades de mercado da domótica ou sistema de
gestão técnica centralizada, mais focalizado para o mundo
académico (Capítulo 4).
Por fim, são tecidas as conclusões e considerações finais do
artigo (capitulo 5).
Esse artigo foi elaborado sob o ponto de vista de integrador.
Por outras palavras, procurou-se realizar uma aproximação
da realidade prática a nível de implementação das
tecnologias domóticas em edifícios, ao dar uma linha de
conhecimento abrangente e ao mesmo acessível aos
leitores, que muitas das vezes esse tema acaba por transmitir
conceitos errados
Eutactic quantum codes
We consider sets of quantum observables corresponding to eutactic stars.
Eutactic stars are systems of vectors which are the lower dimensional
``shadow'' image, the orthogonal view, of higher dimensional orthonormal bases.
Although these vector systems are not comeasurable, they represent redundant
coordinate bases with remarkable properties. One application is quantum secret
sharing.Comment: 6 page
On the multiple Borsuk numbers of sets
The Borsuk number of a set S of diameter d >0 in Euclidean n-space is the
smallest value of m such that S can be partitioned into m sets of diameters
less than d. Our aim is to generalize this notion in the following way: The
k-fold Borsuk number of such a set S is the smallest value of m such that there
is a k-fold cover of S with m sets of diameters less than d. In this paper we
characterize the k-fold Borsuk numbers of sets in the Euclidean plane, give
bounds for those of centrally symmetric sets, smooth bodies and convex bodies
of constant width, and examine them for finite point sets in the Euclidean
3-space.Comment: 16 pages, 3 figure
Multi-interaction mean-field renormalization group
We present an extension of the previously proposed mean-field renormalization
method to model Hamiltonians which are characterized by more than just one type
of interaction. The method rests on scaling assumptions about the magnetization
of different sublattices of the given lattice and it generates as many flow
equations as coupling constants without arbitrary truncations on the
renormalized Hamiltonian. We obtain good results for the test case of Ising
systems with an additional second-neighbor coupling in two and three
dimensions. An application of the method is also done to a morphological model
of interacting surfaces introduced recenlty by Likos, Mecke and Wagner [J.
Chem. Phys. {\bf{102}}, 9350 (1995)].
PACS: 64.60.Ak, 64.60.Fr, 05.70.JkComment: Tex file and three macros appended at the end. Five figures available
upon request to: [email protected], Fax: [+]39-40-224-60
Concentration of the intrinsic volumes of a convex body
The intrinsic volumes are measures of the content of a convex body. This paper applies probabilistic and information-theoretic methods to study the sequence of intrinsic volumes. The main result states that the intrinsic volume sequence concentrates sharply around a specific index, called the central intrinsic volume. Furthermore, among all convex bodies whose central intrinsic volume is fixed, an appropriately scaled cube has the intrinsic volume sequence with maximum entropy
Tomosyn inhibits synaptic vesicle priming in Caenorhabditis elegans
Caenorhabditis elegans TOM-1 is orthologous to vertebrate tomosyn, a cytosolic syntaxin-binding protein implicated in the modulation of both constitutive and regulated exocytosis. To investigate how TOM-1 regulates exocytosis of synaptic vesicles in vivo, we analyzed C. elegans tom-1 mutants. Our electrophysiological analysis indicates that evoked postsynaptic responses at tom-1 mutant synapses are prolonged leading to a two-fold increase in total charge transfer. The enhanced response in tom-1 mutants is not associated with any detectable changes in postsynaptic response kinetics, neuronal outgrowth, or synaptogenesis. However, at the ultrastructural level, we observe a concomitant increase in the number of plasma membrane-contacting vesicles in tom-1 mutant synapses, a phenotype reversed by neuronal expression of TOM-1. Priming defective unc-13 mutants show a dramatic reduction in plasma membrane-contacting vesicles, suggesting these vesicles largely represent the primed vesicle pool at the C. elegans neuromuscular junction. Consistent with this conclusion, hyperosmotic responses in tom-1 mutants are enhanced, indicating the primed vesicle pool is enhanced. Furthermore, the synaptic defects of unc-13 mutants are partially suppressed in tom-1 unc-13 double mutants. These data indicate that in the intact nervous system, TOM-1 negatively regulates synaptic vesicle priming. © 2006 Gracheva et al
Local Anisotropy of Fluids using Minkowski Tensors
Statistics of the free volume available to individual particles have
previously been studied for simple and complex fluids, granular matter,
amorphous solids, and structural glasses. Minkowski tensors provide a set of
shape measures that are based on strong mathematical theorems and easily
computed for polygonal and polyhedral bodies such as free volume cells (Voronoi
cells). They characterize the local structure beyond the two-point correlation
function and are suitable to define indices of
local anisotropy. Here, we analyze the statistics of Minkowski tensors for
configurations of simple liquid models, including the ideal gas (Poisson point
process), the hard disks and hard spheres ensemble, and the Lennard-Jones
fluid. We show that Minkowski tensors provide a robust characterization of
local anisotropy, which ranges from for vapor
phases to for ordered solids. We find that for fluids,
local anisotropy decreases monotonously with increasing free volume and
randomness of particle positions. Furthermore, the local anisotropy indices
are sensitive to structural transitions in these simple
fluids, as has been previously shown in granular systems for the transition
from loose to jammed bead packs
LR characterization of chirotopes of finite planar families of pairwise disjoint convex bodies
We extend the classical LR characterization of chirotopes of finite planar
families of points to chirotopes of finite planar families of pairwise disjoint
convex bodies: a map \c{hi} on the set of 3-subsets of a finite set I is a
chirotope of finite planar families of pairwise disjoint convex bodies if and
only if for every 3-, 4-, and 5-subset J of I the restriction of \c{hi} to the
set of 3-subsets of J is a chirotope of finite planar families of pairwise
disjoint convex bodies. Our main tool is the polarity map, i.e., the map that
assigns to a convex body the set of lines missing its interior, from which we
derive the key notion of arrangements of double pseudolines, introduced for the
first time in this paper.Comment: 100 pages, 73 figures; accepted manuscript versio
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Loss of Dictyostelium HSPC300 causes a scar-like phenotype and loss of SCAR protein
<p>Abstract</p> <p>Background</p> <p>SCAR/WAVE proteins couple signalling to actin polymerization, and are thus fundamental to the formation of pseudopods and lamellipods. They are controlled as part of a five-membered complex that includes the tiny HSPC300 protein. It is not known why SCAR/WAVE is found in such a large assembly, but in <it>Dictyostelium </it>the four larger subunits have different, clearly delineated functions.</p> <p>Results</p> <p>We have generated <it>Dictyostelium </it>mutants in which the HSPC300 gene is disrupted. As has been seen in other regulatory complex mutants, SCAR is lost in these cells, apparently by a post-translational mechanism, though PIR121 levels do not change. HSPC300 knockouts resemble <it>scar </it>mutants in slow migration, roundness, and lack of large pseudopods. However <it>hspc300</it>-colonies on bacteria are larger and more similar to wild type, suggesting that some SCAR function can survive without HSPC300. We find no evidence for functions of HSPC300 outside the SCAR complex.</p> <p>Conclusion</p> <p>HSPC300 is essential for most SCAR complex functions. The phenotype of HSPC300 knockouts is most similar to mutants in <it>scar</it>, not the other members of the SCAR complex, suggesting that HSPC300 acts most directly on SCAR itself.</p
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