scholarly journals A characterization of the Dirichlet distribution through global and local parameter independence

1997 ◽  
Vol 25 (3) ◽  
pp. 1344-1369 ◽  
Author(s):  
David Heckerman ◽  
Dan Geiger
Author(s):  
A. Brown ◽  
K. Krishnan ◽  
L. Wayne ◽  
P. Peralta ◽  
S. N. Luo ◽  
...  

Global and local microstructural weak links for spall damage were investigated using 3-D characterization in polycrystalline (PC) and multicrystalline (MC) copper samples, respectively. All samples were shocked via flyer-target plate experiments using a laser drive at low pressures (2–6 GPa). The flyer plates measured approximately 500 μm thick and 8 mm in diameter and the target plates measured approximately 1000 μm thick and 10 mm in diameter. Electron Backscattering Diffraction (EBSD) and optical microscopy were used to determine to presence of voids and relate them to the surrounding microstructure. Statistics on the strength of grain boundaries (GBs) was conducted by analyzing PC samples and collecting the misorientation across GBs with damage present, and it was found that a misorientation range of 25–50° is favorable for damage. Statistics were also taken of copper PC samples that had undergone different heat treatments and it was found that although the 25–50° range is less dominant, it is still favorable for damage nucleation. Removal of initial plastic strain via heat treatments and an increase in Σ3 CSL boundaries, indicative of strong annealing twins, also led to an increased amount of transgranular damage. 3-D X-ray tomography data were used to investigate the shape of the voids present in untreated, as received and heat treated samples. It was found that the as received sample contained a higher amount of “disk”, or, “sheet-like” voids indicative of intergranular damage, whereas the heat treated samples had a higher fraction of spherical shaped voids, indicative of transgranular damage. MC samples were used to study microstructural weak links for spall damage because the overall grain size is much larger than the average void size, making it possible to determine which GBs nucleated damage. Simulations and experimental analysis of damage sites with large volumes indicate that high Taylor factor mismatches with respect to the crystallographic grain GB normal is the primary cause for the nucleation of damage at a GB interface and a low Taylor factor along the shock direction in either grain drives void growth perpendicular to the GB. Cases where experimental results show damage and simulation results show no damage are attributed to the presence of an intrinsic microstructural weak link, such as an incoherent twin boundary.


2020 ◽  
Vol 30 (5) ◽  
pp. 1125-1142
Author(s):  
Theofanis Aravanis ◽  
Pavlos Peppas ◽  
Mary-Anne Williams

Abstract Parikh’s relevance-sensitive axiom (P) for belief revision is open to two different interpretations, i.e. the weak and the strong version of (P), both of which are plausible depending on the context. Given that strong (P) has not received the attention it deserves, in this article, an extended examination of it is conducted. In particular, we point out interesting properties of the semantic characterization of the strong version of (P), as well as a vital feature of it that, potentially, results in a significant drop on the resources required for an implementation of a belief-revision system. Lastly, we shed light on the natural connection between global and local revision functions, via their corresponding semantic characterization, hence, a means for constructing global revision functions from local ones, and vice versa, is provided.


Fractals ◽  
1995 ◽  
Vol 03 (04) ◽  
pp. 879-891 ◽  
Author(s):  
M. SERNETZ ◽  
M. JUSTEN ◽  
F. JESTCZEMSKI

Three-dimensional data sets of kidney arterial vessels were obtained from resin casts by serial sectioning and by micro-NMR-tomography, and were analyzed by the mass-radius-relation both for global and local scaling properties. We present for the first time the spatial resolution of local scaling and thus the dispersion of the fractal dimension within the organs. The arterial system is characterized as a non-homogeneous fractal. We discuss and relate the fractal structure to the scaling and allometry of metabolic rates in living organisms.


2008 ◽  
Vol 12 (1) ◽  
pp. 74-90 ◽  
Author(s):  
Christopher Hakkenberg

AbstractBiodiversity conservation strategies around the world have been criticized when the goals of international organizations clash with the needs and traditions of local people. While the characterization of global conservation initiatives as a clash between scientifically-informed environmental policies and indigenous knowledge may retain discursive value in explaining the interaction of contending epistemologies, it is nonetheless an over-simplification of a dynamic, complicated and sometimes opaque and contradictory process. This paper sheds light on some of the conservation programs in southwest China as a case where these seemingly distinct knowledge regimes lie not in stark contrast, but in fact coexist within a localized discourse on biological and cultural diversity. In the example of the sacred site tradition of northwest Yunnan, disparate knowledge regimes have been negotiated and reinterpreted at the local, and even individual level to form dynamic and unique motivations for a conservation ethic. In this negotiation of indigenous and global epistemologies, classic distinctions separating global and local interests prove erroneous, or at the very least, unnecessary.


2021 ◽  
Author(s):  
Neil Dodgson

I investigate whether mathematical measures can characterize Bridget Riley's stripe paintings. This is motivated by three considerations: (1) stripe paintings are an incredibly constrained art form, therefore it should be relatively straightforward to ascertain whether or not there is a mathematical characterization; (2) Bridget Riley's approach to composition is methodical and thoughtful, so we can assume that her paintings are carefully constructed rather than random and (3) Riley's paintings can appear random on a first glance but have an underlying structure, therefore Riley's works are challenging to characterize because they are close to random while not actually being so. I investigate entropy (both global and local), separation distance and auto-correlation. I find that all can provide some characterization, that entropy provides the best judge between Riley's work and randomly generated variants, and that the entropy measures correlate well with the art-critical descriptions of Riley's development of this style over the five years in which she worked with it. © 2012 Taylor & Francis.


2020 ◽  
Vol 11 (3) ◽  
Author(s):  
Khomiachenko Svitlana ◽  
◽  
Korniakova Tetiana ◽  
Yuzikova Nataliia ◽  
◽  
...  

The article provides a criminological analysis of the current state and trends of environmental crime in Ukraine as well as identifies the structure of environmental crime. The article identifies the most common types of environmental crime, including those that have global and local effect. According to the results of the research, a system of combating environmental crime is proposed supplementing it with the description and characterization of its components. An execution of systematic targeted control over the state of the environment combined with a prevention of environmental crimes by the state, society and individual citizens will become a counterbalance to the destructive attitude towards the environment and, accordingly, the basis for life safety in the ecosystem. Keywords: determinants of crime, crimes against the environment, ecology, environmental policy, judicial statistics


1980 ◽  
Vol 8 (1) ◽  
pp. 183-189 ◽  
Author(s):  
Ian R. James ◽  
James E. Mosimann

2015 ◽  
Vol 49 (6) ◽  
pp. 2407-2424 ◽  
Author(s):  
Thomas K. Bader ◽  
Michael Schweigler ◽  
Georg Hochreiner ◽  
Bertil Enquist ◽  
Michael Dorn ◽  
...  

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