Simplicial and Homotopical Cohomology of Polyhedra

1966 ◽  
Vol 18 ◽  
pp. 413-423
Author(s):  
Emil Stamm

It is well known that, on the category of finite polyhedra, any two cohomology theories, satisfying the Eilenberg-Steenrod axioms, are isomorphic. Examples of such theories are simplicial cohomology and homotopical cohomology (the latter is defined by means of homotopy classes of maps into Eilenberg-MacLane spaces). In the case of polyhedra, using triple sequences and spectral sequences, one obtains a deep insight into the relationship between general cohomology theories (without the dimension axiom) and ordinary simplicial cohomology (1, p. 66). As a corollary the abovementioned uniqueness of cohomology theories satisfying the dimension axiom is obtained.

2018 ◽  
Vol III (I) ◽  
pp. 1-9
Author(s):  
Muhammad Rizwan ◽  
Manzoor Ahmad ◽  
Syed Asif Anwar Bukhari

Soon after its creation, Pakistan confronted many issues including refugee problem, scarcity of able political leadership, absence of mutual consensus between both wings of the country and confusing nature of the relationship between Islam and state etc. took almost nine years to frame the permanent constitution for Pakistan. Constitution, the basic document of a state, determines the shape of its laws, structure of governance and system of rights and duties. The effectiveness of a constitution is judged by its practicability in the given area where it is enforced by the state machinery. Although, all civilized states of the world do possess a constitution, yet a good constitution is one which must protect the basic human rights by ensuring the independence of judiciary. Due to countless hurdles at the beginning of its journey, Pakistan’s constitutional development in the right direction could not take place. The main objective of the present study is to provide deep insight into the events and factors causing a delay in the constitution-making for the newly created state of Pakistan. The various events which took place from 1947 to 1956 have been analyzed in a subtle way.


1998 ◽  
Vol 521 ◽  
Author(s):  
A. Wanner

ABSTRACTThis study focuses on the relationship between porosity and elastic stiffness of structural ceramic materials produced by plasma-spraying. Mg-AI-spinel was chosen as a model material and studied in as-sprayed condition as well as upon annealing to increasingly higher temperatures up to 1650°C. The detailed analysis of the stiffness and mass density evolution offers a deep insight into the initial microstructural state of the material and into the morphological changes that occur upon heat treatment.


Author(s):  
Peter H. Reid

Once the verdict is rendered, Bill is taken back to prison, and a struggle erupts between the Peace Corps and the prosecutor over Bill’s release, finally resolved by the Tanzanian attorney general, who orders his release. The police investigate the failures in the conduct of the case by the prosecution, and the chapter analyzes the judge’s rulings. Letters from Peppy to a friend are examined and offer deep insight into the nature of the relationship between Peppy and Bill. A memo written by American embassy staff reporting on the reaction of Tanzania officials to the case offers a path to discuss the trial’s impact on U.S.-Tanzania relations.


2018 ◽  
Vol 231 ◽  
pp. 01005 ◽  
Author(s):  
Stanisław Burzyński ◽  
Jacek Chróścielewski ◽  
Łukasz Pachocki

The subject of this study is performance of N2/W4/A steel road safety barrier investigated in numerical simulations. System was checked under several types of initial conditions, which were assumed basing on the TB11 and TB32 normative crash tests. The main goal of present study is to investigate the relationship between initial conditions (angle and velocity) of the impact and the severity indices (associated to the vehicle occupant) during the collision. Obtained performance parameters and impact severity indexes may be considered reasonable. Results of the simulations facilitates the deep insight into vehicle crash mechanics phenomena.


Author(s):  
D. F. Blake ◽  
L. F. Allard ◽  
D. R. Peacor

Echinodermata is a phylum of marine invertebrates which has been extant since Cambrian time (c.a. 500 m.y. before the present). Modern examples of echinoderms include sea urchins, sea stars, and sea lilies (crinoids). The endoskeletons of echinoderms are composed of plates or ossicles (Fig. 1) which are with few exceptions, porous, single crystals of high-magnesian calcite. Despite their single crystal nature, fracture surfaces do not exhibit the near-perfect {10.4} cleavage characteristic of inorganic calcite. This paradoxical mix of biogenic and inorganic features has prompted much recent work on echinoderm skeletal crystallography. Furthermore, fossil echinoderm hard parts comprise a volumetrically significant portion of some marine limestones sequences. The ultrastructural and microchemical characterization of modern skeletal material should lend insight into: 1). The nature of the biogenic processes involved, for example, the relationship of Mg heterogeneity to morphological and structural features in modern echinoderm material, and 2). The nature of the diagenetic changes undergone by their ancient, fossilized counterparts. In this study, high resolution TEM (HRTEM), high voltage TEM (HVTEM), and STEM microanalysis are used to characterize tha ultrastructural and microchemical composition of skeletal elements of the modern crinoid Neocrinus blakei.


Nature ◽  
2020 ◽  
Vol 581 (7809) ◽  
pp. 385-386
Author(s):  
Deanna M. Church
Keyword(s):  

2019 ◽  
Vol 58 (2) ◽  
pp. 249-259
Author(s):  
Joseph Acquisto

This essay examines a polemic between two Baudelaire critics of the 1930s, Jean Cassou and Benjamin Fondane, which centered on the relationship of poetry to progressive politics and metaphysics. I argue that a return to Baudelaire's poetry can yield insight into what seems like an impasse in Cassou and Fondane. Baudelaire provides the possibility of realigning metaphysics and politics so that poetry has the potential to become the space in which we can begin to think the two of them together, as opposed to seeing them in unresolvable tension. Or rather, the tension that Baudelaire animates between the two allows us a new way of thinking about the role of esthetics in moments of political crisis. We can in some ways see Baudelaire as responding, avant la lettre, to two of his early twentieth-century readers who correctly perceived his work as the space that breathes a new urgency into the questions of how modern poetry relates to the world from which it springs and in which it intervenes.


2019 ◽  
Vol 48 (1) ◽  
pp. 83-101
Author(s):  
Cameron McKay

During the late nineteenth and early twentieth century penologists began to explore the possibility that environment and upbringing, as opposed to individual choice, were the causes criminality. The Prison Commissioners for Scotland, the devolved body who administered prisons north of the border, were not immune to this wider trend. Smith has argued that from the 1890s onwards the Commissioners began to accept that criminality was caused by social problems, namely alcoholism, but also parental neglect, poor education and poverty. In their efforts to test these new criminological theories, the Commissioners began to make more careful enquiries into the backgrounds of their charges. From 1896 to 1931 the Commissioners interviewed a sample of prisoners each year and included the findings in their annual report. Although the main focus of these interviews was on the upbringing and drinking habits of prisoners; by the 1900s the Commissioners seem to have added irreligion to the growing list of etiological causes of crime, and from 1903 onwards prisoners were asked to give details on their religious habits. Although it is debateable how much the Prison Commissioners revealed about the relationship between religion and crime, they did however provide a useful insight into the religiosity of the average prisoner.


2011 ◽  
Vol 5 (2) ◽  
pp. 297-332
Author(s):  
Kate Zebiri

This article aims to explore the Shaykh-mur?d (disciple) or teacher-pupil relationship as portrayed in Western Sufi life writing in recent decades, observing elements of continuity and discontinuity with classical Sufism. Additionally, it traces the influence on the texts of certain developments in religiosity in contemporary Western societies, especially New Age understandings of religious authority. Studying these works will provide an insight into the diversity of expressions of contemporary Sufism, while shedding light on a phenomenon which seems to fly in the face of contemporary social and religious trends which deemphasize external authority and promote the authority of the self or individual autonomy.


2018 ◽  
Author(s):  
Tsair-Wei Chien ◽  
Hsien-Yi Wang ◽  
Yang Shao ◽  
Willy Chou

BACKGROUND Researchers often spend a great deal of time and effort retrieving related journals for their studies and submissions. Authors often designate one article and then retrieve other articles that are related to the given one using PubMed’s service for finding cited-by or similar articles. However, to date, none present the association between cited-by and similar journals related to a given journal. Authors need one effective and efficient way to find related journals on the topic of mobile health research. OBJECTIVE This study aims (1) to show the related journals for a given journal by both cited-by and similarity criteria; (2) to present the association between cited-by and similarity journals related to a given journal; (3) to inspect the patterns of network density indices among clusters classified by social network analysis (SNA); (4) to investigate the feature of Kendall's coefficient(W) of concordance. METHODS We obtained 676 abstracts since 2013 from Medline based on the keywords of ("JMIR mHealth and uHealth"[Journal]) on June 30, 2018, and plotted the clusters of related journals on Google Maps by using MS Excel modules. The features of network density indices were examined. The Kendall coefficient (W) was used to assess the concordance of clusters across indices. RESULTS This study found that (1) the journals related to JMIR mHealth and uHealth are easily presented on dashboards; (2) a mild association(=0.14) exists between cited-by and similar journals related to JMIR mHealth and uHealth; (3) the median Impact Factor were 3.37 and 2.183 based on the representatives of top ten clusters grouped by the cited-by and similar journals, respectively; (4) all Kendall’s coefficients(i.e., 0.82, 0.89, 0.92, and 0.75) for the four sets of density centrality have a statistically significant concordance (p < 0.05). CONCLUSIONS SNA provides deep insight into the relationships of related journals to a given journal. The results of this research can provide readers with a knowledge and concept diagram to use with future submissions to a given journal in the subject category of Mobile Health Research. CLINICALTRIAL Not available


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