A well known and referenced global result is the nilpotent characterisation of the finite p-groups. This un doubtedly transends into neutrosophy. Hence, this fact of the neutrosophic nilpotent p-groups is worth critical studying and comprehensive analysis. The nilpotent characterisation depicts that there exists a derived series (Lower Central) which must terminate at {ϵ} (an identity), after a finite number of steps. Now, Suppose that G(I) is a neutrosophic p-group of class at least m ≥ 3. We (...) show in this paper that Lm−1(G(I)) is abelian and hence G(I) possesses a characteristic abelian neutrosophic subgroup which is not supposed to be contained in Z(G(I)). Furthermore, If L3(G(I)) = 1 such that pm is the highest order of an element of G(I)/L2(G(I)) (where G(I) is any neutrosophic p-group) then no element of L2(G(I)) has an order higher than pm. (shrink)

The neutrosophic automorphisms of a neutrosophic groups G (I) , denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (I)) is the neutrosophic group of inner neutrosophic auto-morphisms of a neutrosophic group G (I) and Xn the neutrosophic group of inner neutrosophic automorphisms of Xn-1. In this paper, we (...) show that if any neutrosophic group of the sequence G (I), X1, X2, … is the identity, then G (I) is nilpotent. (shrink)

Smarandache in 2019 has generalized the algebraic structures to NeutroAlgebraic structures and AntiAlgebraic structures. In this paper, authors, for the first time, define the NeutroAlgebra of neutrosophic triplets group under usual+ and x, built using {Zn, x}, n a composite number, 5 < n < oo, which are not partial algebras. As idempotents in Zn alone are neutrals that contribute to neutrosophic triplets groups, we analyze them and build NeutroAlgebra of idempotents under usual + and x, which (...) are not partial algebras. We prove in this paper the existence theorem for NeutroAlgebra of neutrosophic triplet groups. This proves the neutrals assocaited with neutrosophic triplet groups in { Zn, X} under product is a NeutroAlgebra of triplets. We also prove the non-existence theorem of NeutroAlgebra for neutrosophic triplets in case of Zn when n = 2p, 3p and 4p (for some primes p). Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained. (shrink)

This bibliographical study involved first the exploitation of four data-banks: Medline, CNRS, Bioethics and AIDS, with the following key words (in conjunction with AIDS): ethics, human rights, confidentiality, legislation, jurisprudence. A total of 412 references were listed between 1983 and the end of 1987. Examination of the quantitative increase of articles over these years shows that, while references to AIDS and/or HIV infection--referred to as 'AIDS' for brevity--increased by about one third per year, the number of papers treating ethical problems (...) linked to AIDS doubled each year. This increase makes it clear that these problems are important and pressing, that they are evolving rapidly and can be given no easy solution. After reading and analysis of accessible articles in readily comprehensible languages, the different themes can be classified in two categories: 1: Measures intended to protect society (starting with the most coercive); quarantine and isolation; discriminatory measures concerning specific groups; non-respect of the confidential nature of medical information; application of the penal code; screening; obligatory declaration and registration; testing of blood given by donors; vaccination and medical innovations, therapeutic assays; information, education. 2. Measures intended to protect the individual: fundamental rights of the patient: his/her right to confidentiality, to information and to treatment; civil rights: civil liberty, right to education, right to work, etc...; rights of the healthy individual: right of those in contact with the patients, safety of hospital staff, of those receiving blood-transfusions, etc... The legislation adopted in the various countries and the main opinions to be found in these articles are listed and analysed, and for each particular theme it is possible to refer to a list of the 232 most important articles. While the debate seems to concentrate on the conflict between the right of society to protect itself against the spread of infection and the 'civil' rights of the infected minorities, our conclusion tends to reduce this antagonism, showing that, particularly as far as the confidential nature of medical information is concerned, measures intended to protect the individual also protect society. (shrink)

Soft neutrosophic group and soft neutrosophic subgroup are generalized to soft neutrosophic bigroup and soft neutrosophic N-group respectively in this paper. Different kinds of soft neutrosophic bigroup and soft neutrosophic N-group are given. The structural properties and theorems have been discussed with a lot of examples to disclose many aspects of this beautiful man made structure.

Progressive supranuclear palsy is a movement disorder with prominent tau neuropathology. Brain diseases with abnormal tau deposits are called tauopathies, the most common of which is Alzheimer's disease. Environmental causes of tauopathies include repetitive head trauma associated with some sports. To identify common genetic variation contributing to risk for tauopathies, we carried out a genome-wide association study of 1,114 individuals with PSP and 3,247 controls followed by a second stage in which we genotyped 1,051 cases and 3,560 controls for the (...) stage 1 SNPs that yielded P ≤ 10-3. We found significant previously unidentified signals associated with PSP risk at STX6, EIF2AK3 and MOBP. We confirmed two independent variants in MAPT affecting risk for PSP, one of which influences MAPT brain expression. The genes implicated encode proteins for vesicle-membrane fusion at the Golgi-endosomal interface, for the endoplasmic reticulum unfolded protein response and for a myelin structural component. © 2011 Nature America, Inc. All rights reserved. (shrink)

Most donated organs in the United States come from brain dead donors, while a small percentage come from patients who die in “controlled,” or expected, circumstances, typically after the family or surrogate makes a decision to withdraw life support. The number of organs available for transplant could be substantially if donations were permitted in “uncontrolled” circumstances–that is, from people who die unexpectedly, often outside the hospital. According to projections from the Institute of Medicine, establishing programs permitting “uncontrolled donation after circulatory (...) determination of death,” or uDCDD, throughout the United States has the potential to provide 22,000 more donation opportunities annually. In contrast, U.S. controlled donation after circulatory determination of death, or cDCDD, cases have increased progressively over the past decade from 87 to 848 donors, but currently account for only 10.6 percent of all deceased donors. Following the IOM recommendations, several projects exploring the feasibility of uDCDD were funded by the federal government, including a grant from the Health Resources and Services Administration that supported a pilot project in New York City in which the authors of this article participated.A key feature of our protocol, and indeed of many uDCDD protocols, is the initiation of preservation methods such as chest compressions and extracorporeal membrane oxygenation shortly after death in order to perfuse and preserve the donor's organs. Critics of uDCDD argue that the means of determining death deviates from generally ascribed principles. They assert that reinstituting circulation in order to preserve organs has the effect of “undoing” the prior determination of death. The result is that cDCDD is widely accepted and practiced routinely even though it only marginally increases the number of organs available for transplantation, and uDCDD is widely considered unacceptable despite being ethically embraced and proven to significantly increase organ donation opportunities in other countries. This article explores the evolution of this counterintuitive state of affairs and calls for a policy that, in line with the IOM report, allows for both cDCDD and uDCDD protocols. (shrink)

Background: Debates over legalisation of physician-assisted suicide or euthanasia often warn of a “slippery slope”, predicting abuse of people in vulnerable groups. To assess this concern, the authors examined data from Oregon and the Netherlands, the two principal jurisdictions in which physician-assisted dying is legal and data have been collected over a substantial period.Methods: The data from Oregon comprised all annual and cumulative Department of Human Services reports 1998–2006 and three independent studies; the data from the Netherlands comprised all (...) four government-commissioned nationwide studies of end-of-life decision making and specialised studies. Evidence of any disproportionate impact on 10 groups of potentially vulnerable patients was sought.Results: Rates of assisted dying in Oregon and in the Netherlands showed no evidence of heightened risk for the elderly, women, the uninsured , people with low educational status, the poor, the physically disabled or chronically ill, minors, people with psychiatric illnesses including depression, or racial or ethnic minorities, compared with background populations. The only group with a heightened risk was people with AIDS. While extralegal cases were not the focus of this study, none have been uncovered in Oregon; among extralegal cases in the Netherlands, there was no evidence of higher rates in vulnerable groups.Conclusions: Where assisted dying is already legal, there is no current evidence for the claim that legalised PAS or euthanasia will have disproportionate impact on patients in vulnerable groups. Those who received physician-assisted dying in the jurisdictions studied appeared to enjoy comparative social, economic, educational, professional and other privileges. (shrink)

We investigate effective categoricity of computable Abelian p-groups . We prove that all computably categorical Abelian p-groups are relatively computably categorical, that is, have computably enumerable Scott families of existential formulas. We investigate which computable Abelian p-groups are categorical and relatively categorical.

We use a neutrosophic set, instead of an intuitionistic fuzzy because the neutrosophic set is more general, and it allows for independent and partial independent components, while in an intuitionistic fuzzy set, all components are totally dependent. In this article, we present and demonstrate the concept of neutrosophic invariant subgroups. We delve into the exploration of this notion to establish and study the neutrosophic quotient group. Further, we give the concept of a neutrosophic normal subgroup (...) as a novel concept. (shrink)

Over the past 50 years, academic-industrial collaborations and technology transfer have played an increasingly prominent role in the biomedical sciences. These relationships can speed the delivery of innovative drugs and medical technologies to clinical practice, creating important public health benefits as well as income for universities and their faculty. At the same time, they raise ethical concerns, particularly when research involves human subjects in clinical trials. Lapses in oversight of industry sponsored clinical trials at universities, and especially patient deaths in (...) a number of trials, have brought these issues into the public spotlight and have led the federal government to intensify its oversight of clinical research. The leadership of Harvard Medical School convened a group of leaders in academic medicine to formulate guidelines on individual financial conflicts of interest. They and other groups are working to formulate a national consensus on this issue. (shrink)

The relation of the conformal group to various earlier proposed relativistic quantum mechanical dynamical groups (and other related groups) is studied in the framework of projective geometry, by explicitly constructing the contractions of the six-dimensional coordinate transformations. Five-dimensional realizations are then derived. An attempt is made to improve our physical insight through geometry.

This paper is devoted to present Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method for multi-attribute group decision making under rough neutrosophic environment. The concept of rough neutrosophic set is a powerful mathematical tool to deal with uncertainty, indeterminacy and inconsistency. In this paper, a new approach for multi-attribute group decision making problems is proposed by extending the TOPSIS method under rough neutrosophic environment. Rough neutrosophic set is characterized by the upper and lower (...) approximation operators and the pair of neutrosophic sets that are characterized by truth-membership degree, indeterminacy membership degree, and falsity membership degree. In the decision situation, ratings of alternatives with respect to each attribute are characterized by rough neutrosophic sets that reflect the decision makers’ opinion. Rough neutrosophic weighted averaging operator has been used to aggregate the individual decision maker’s opinion into group opinion for rating the importance of attributes and alternatives. Finally, a numerical example has been provided to demonstrate the applicability and effectiveness of the proposed approach. (shrink)

The six platinum group metals (pgms: ruthenium, rhodium, palladium, osmium, iridium and platinum) posed a number of problems for 19th-century chemists, including Mendeleev, for their Periodic classification. This account discusses the discovery of the pgms, the determination of their atomic weights and their classification.

One of the key behavioral effects of attractiveness is increased visual attention to attractive people. This effect is often explained in terms of evolutionary adaptations, such as attractiveness being an indicator of good health. Other factors could influence this effect. In the present study, we explored the modulating role of sexual orientation on the effects of attractiveness on exploratory visual behavior. Heterosexual and homosexual men and women viewed natural-looking scenes that depicted either two women or two men who varied systematically (...) in levels of attractiveness (based on a pre-study). Participants’ eye movements and attractiveness ratings towards the faces of the depicted people were recorded. The results showed that although attractiveness had the largest influence on participants’ behaviors, participants’ sexual orientations strongly modulated the effects. With the exception of homosexual women, all participant groups looked longer and more often at attractive faces that corresponded with their sexual orientations. Interestingly, heterosexual and homosexual men and homosexual women looked longer and more often at the less attractive face of their non-preferred sex than the less attractive face of their preferred sex, evidence that less attractive faces of the preferred sex might have an aversive character. These findings provide evidence for the important role that sexual orientation plays in guiding visual exploratory behavior and evaluations of the attractiveness of others. (shrink)

Human migration is nonrandom. In small scale societies of the past, and in the modern world, people tend to move to wealthier, safer, and more just societies from poorer, more violent, less just societies. If immigrants are assimilated, such nonrandom migration can increase the occurrence of culturally transmitted beliefs, values, and institutions that cause societies to be attractive to immigrants. Here we describe and analyze a simple model of this process. This model suggests that long run outcomes depend on the (...) relative strength of migration and local adaptation. When local adaption is strong enough to preserve cultural variation among groups, cultural variants that make societies attractive always predominate, but never drive alternative variants to extinction. When migration predominates, outcomes depend both on the relative attractiveness of alternative variants and on the initial sizes of societies that provide and receive immigrants. (shrink)

Concerns a problem posed, but not solved, by Frege in part III of his Grundgesetze. As a preliminary to defining ‘real number’, Frege attempts to analyse the notion of a quantitative domain. He was unaware of the previous attempt of Otto Holder to do this; it is remarked how much weaker Frege's assumptions were in deriving theorems than Holder's. Frege deals with groups on which there is a right‐invariant semilinear ordering, although he does not use this terminology. He is (...) uncertain whether it can be deduced that the ordering is also left‐invariant, and proves as much as possible without invoking the assumption that it is. The independence proof, due to Dr Peter Neumann, establishes that it could not be deduced. (shrink)

A new theory of spacetime is proposed in which translations are considered as a part of the de Sitter gauge group. The theory is built along the general principles of classical gauge field theories, which are outlined. Applications of gauge principles to linear and affine connections are also given in order to make the presentation self-sufficient. A de Sitter invariant Lagrangian is constructed, which yields approximately Einstein's vacuum equations when it is subjected to variation with respect to gauge potentials and (...) the result expressed in a specific gauge class. As a difference from the usual use of de Sitter groups, the radius of its translations must be small in the present approach, which probably has the meaning of an elementary subatomic length. The solution of the equations describing flat spacetime is not the trivial zero-curvature connection of the conventional approach. (shrink)

Awareness of, and respect for differences of gender, race, religion, language, and culture have liberated many oppressed groups from the hegemony of white, Western males. However, respect for previously denigrated collective identities should not be allowed to confine individuals to identities constructed around one main component used for political mobilisation, or to identities that depend on a priority of properties that are not optional, like race, gender, and language. In this article I want to sketch an approach for accommodating (...) different kinds of identity within a multicultural constitutional democracy. From a vantage point provided by a definition and explanation of personal identity, I want to show how people define, construct and change their personal identities to make themselves into unique individuals. Next I show how democratic political institutions and the personal identities of individuals reciprocally influence one another. In the final section I sketch ways in which diverse personal identities ought to be accommodated in multicultural constitutional democracies. The conclusion is that a society which gives its members the liberty, space, and opportunity to freely construct their own identities might avoid the formation of closed groups committed exclusively to their own sectional interests. (shrink)

P-adic logarithms are used to translate localization sequences, involving multiplicative groups of units, to simpler additive descriptions of [italic]D([double-struck]Z[italic]G) and [bold]Wh′([italic]G) for the [italic]p-group [italic]G. The goal of this paper is to work out a procedure for using logarithms to translate the localization sequences in to sequences involving additive groups.

_ Source: _Page Count 20 Research by Graham and Haidt suggests that beliefs, rituals, and other social aspects of religion establish moral communities. As such, they suggest religion is most strongly associated with the group-focused “binding” moral foundations of ingroup/loyalty, authority/respect, and purity/sanctity. Two studies tested this hypothesis, investigating the role of political orientation in these relationships. These studies supported our hypothesis that general religiosity is positively associated with each of the group-focused moral foundations, even when controlling for the role (...) of political orientation. Further, we find religious and political orientations interact such that low-religious political liberals are least likely to endorse group-focused moral intuitions. Results are discussed in a moral foundations framework and consider the role of religiosity’s association with political orientation and group-focused moral foundations. (shrink)

The study of social inequality and stratification has long been at the core of sociology and the social sciences. In this article, I argue that certain tendencies have become entrenched in our dominant paradigm that leave many researchers pursuing coarse-grained analyses of how difference relates to inequality. Centrally, despite the importance of categories and categorization for how researchers study social inequality, contemporary theories of categories are poorly integrated into conventional research. I contend that the widespread and often unquestioned use of (...) state categories as categories of analysis reinforces these tendencies. Using research on colorism as an inspiration, I highlight several components of what I call the infracategorical model of inequality, which urges researchers to disaggregate difference by shifting our focus from membership in categories to the cues of categories, membership in subcategories, and perceived typicality. (shrink)

Background: The factors influencing parents’ willingness to enroll their children in biobanks are poorly understood. This study sought to assess parents’ willingness to enroll their children, and their perceived benefits, concerns, and information needs under different consent and data-sharing scenarios, and to identify factors associated with willingness. Methods: This large, experimental survey of patients at the 11 eMERGE Network sites used a disproportionate stratified sampling scheme to enrich the sample with historically underrepresented groups. Participants were randomized to receive one (...) of three consent and data-sharing scenarios. Results: In total, 90,000 surveys were mailed and 13,000 individuals responded (15.8% response rate). 5737 respondents were parents of minor children. Overall, 55% (95% confidence interval 50–59%) of parents were willing to enroll their youngest minor child in a hypothetical biobank; willingness did not differ between consent and data-sharing scenarios. Lower educational attainment, higher religiosity, lower trust, worries about privacy, and attitudes about benefits, concerns, and information needs were independently associated with less willingness to allow their child to participate. Of parents who were willing to participate themselves, 25% were not willing to allow their child to participate. Being willing to participate but not willing to allow one’s child to participate was independently associated with multiple factors, including race, lower educational attainment, lower annual household income, public health care insurance, and higher religiosity. Conclusions: Fifty-five percent of parents were willing to allow their youngest minor child to participate in a hypothetical biobank. Building trust, protecting privacy, and addressing attitudes may increase enrollment and diversity in pediatric biobanks. (shrink)

OBJECTIVES: To study the ethical reasoning of nurses and physicians, and to assess whether or not modified focus groups are a valuable tool for this purpose. DESIGN: Discussion of cases in modified focus groups, each consisting of three physicians and three nurses. The discussion was taped and analysed by content analysis. SETTING: Five departments of internal medicine at Danish hospitals. SAMPLE: Seven discussion groups. MAIN MEASUREMENTS: Ethical content of statements, style of statements, time used by each participant. (...) RESULTS: Danish physicians and nurses do not differ in the kind of ethical reasoning they use, but physicians use more of the discussion time than nurses, they use a more assertive style of argumentation, and the solutions chosen are usually first put forward by physicians. CONCLUSION: The results and informal comparisons with similar data from long qualitative interviews indicate that groups of this kind are a useful tool for gathering data on ethical reasoning. (shrink)

The usefulness of contextually guided processors is investigated a little further. A more general use for binding V1 cell responses than the one in Phillips & Singer's target article is proposed, which takes into account that strong responses of these cells can mean more than the presence of lines and edges. The possibility of different grouping depending on the activities of neighboring cells is essential to the approach.

Theories of classification distinguish classes with some good structure theorem from those for which none is possible. Some classes (dense linear orders, for instance) are non-classifiable in general, but are classifiable when we consider only countable members. This paper explores such a notion for classes of computable structures by working out a sequence of examples. We follow recent work by Goncharov and Knight in using the degree of the isomorphism problem for a class to distinguish classifiable classes from non-classifiable. In (...) this paper, we calculate the degree of the isomorphism problem for Abelian p-groups of bounded Ulm length. The result is a sequence of classes whose isomorphism problems are cofinal in the hyperarithmetical hierarchy. In the process, new back-and-forth relations on such groups are calculated. (shrink)

It is shown that for invariance under the action of special groups the statements "Every invariant PCA is decomposable into (1 invariant Borel sets" and "Every pair of invariant PCA is reducible by a pair of invariant PCA sets" are independent of the axioms of set theory.