The environment and disease: association or causation? 1965.

In this paper, by using Gröbner–Shirshov bases, we show that in the following classes, each (respectively, countably generated) algebra can be embedded into a simple (respectively, two-generated) algebra: associative differential algebras, associative Ω-algebras, associative λ-differential algebras. We show that in the following classes, each countably generated algebra over a countable field k can be embedded into a simple two-generated algebra: associative algebras, semigroups, Lie algebras, associative differential algebras, associative Ω-algebras, associative λ-differential algebras. We give another proofs of the well known theorems: each countably generated group (respectively, associative algebra, semigroup, Lie algebra) can be embedded into a two-generated group (respectively, associative algebra, semigroup, Lie algebra).

INTRODUCTION In a recent paper [i], Hall showed that if Kt ..... K~ are any nontrivial groups and the group / satisfies the condition I/,J6 iK.*..~ [, then can be embedded in a simple group $ conraining s ~# and generated by them: $ = ~/ .... ,~,> We will con~ider the analogous question for associative rings and algebras. Let us first mention that in the [2] it was proved that any associative algebra can be embedded in a simple associative algebra. Regarding associative rings, a ring ~ can be embedded in a simple ring if and only if it has a characteristic, i.e., either its additive group is torsion-free or there exists a prime such that /~,.r= O,~g:~. In the first case, ~ can be embedded in an algebra over the field of rational numbers; in the second, R is an algebra over the field with p elements. Thus the problem for rings reduces to the problem for algebras over an a~ most countable field. THEOREM I. Suppose [ is an at most countable field and A , and ~ is a simple ring, then all four rings ~. <./(2,Kj have the same characteristic ~ ~ @ . In the general case we have THEOREM i'. Suppose ~ is any field and A,~,~2, 6 are nonzero associative algebras over ~ such that I / l l .~ l~ l~6 ~ }(3 I and ~fTL~ I~ ~(2 4~ ~ ~ l~I . Then A canbe embedded in a simple associative algebra ~ generated by subalgebras /(i'/(2,/(3" Thus, in Theorem i' there is one additional restriction (~Lrrb~ ~/~2 ~ ?(3 ~ ]~I~, which, evidently, is also necessary. COROLLAKY. Any countable associative algebra can be embedded in a simple associative algebra with three generators. We now consider the question of when an algebra ~ is a sum of subalgebras ~. In this case we consider, instead of three, four subalgebras 7(I'''" A/, of infinite dimension over In order to formulate the theorem we require a certain condition on the algebras ~. Definition. Suppose ~ is an associative algebra over a field ~. ~qI~ =OG ~ ~ 9 We say that ~ satisfies condition (*) if ~( contains a countable series

In Holder v. Humanitarian Law Project (HLP), the United States Supreme Court held that Congress could constitutionally prohibit attorneys from providing legal assistance and advice regarding lawful nonviolent conduct to groups that the Secretary of State has designated as Foreign Terrorist Organizations (FTOs). The plaintiffs argued that the “material support” provisions of the Anti-Terrorism and Effective Death Penalty Act (AEDPA), as amended by post-9/11 legislation, violated their First Amendment rights to free speech and to free association. While the Court discussed the plaintiffs’ Speech Clause claims at length, the Court rejected their free association claim cursorily. The Court explained that the constitutional right to association protected membership in an organization, and the challenged provisions did not prohibit plaintiffs from membership in any organization. Rather, according to the Court, plaintiffs were merely prohibited from providing “material support” to organizations, which was constitutional— even in the context of prohibiting legal advice regarding international human rights.

College community is a common form of organization on campus, which can enrich the extracurricular life of college students. As a special organization of colleges and universities, college students' associations need to carry on the optimization management of the operation mode, improve the operation efficiency of the associations, and the sports associations of China and the United States have great differences in the management of the associations' operation. Combined with the characteristics of the operation and management of college sports associations in China and the United States, this paper innovates the development mode of sports associations, establishes a new model in line with the operation and management of sports associations in colleges and universities in China, and it promotes the overall development of college students. In order to promote the all-round development of college students, we should guide the construction and development of college sports associations with the scientific and reasonable development concept and operation management mode, and learn the new methods and new ideas of the operation and management of American college sports associations. College student sports associations in the United States have a long history, and their management system is relatively sound. Taking Arizona State University as an example, this paper analyses the management mode of sports associations in the university, and draws the advantages of the management mode of sports associations in the university, which can provide reliable reference for the operation and management mode of sports associations in Colleges and universities in China, so as to achieve the purpose of promoting the development of sports associations in Colleges and universities in China.

We introduce the first hom-associative Weyl algebras over a field of prime characteristic as a generalization of the first associative Weyl algebra in prime characteristic. First, we study properties of hom-associative algebras constructed from associative algebras by a general ``twisting'' procedure. Then, with the help of these results, we determine the commuter, center, nuclei, and set of derivations of the first hom-associative Weyl algebras. We also classify them up to isomorphism, and show, among other things, that all nonzero endomorphisms on them are injective, but not surjective. Last, we show that they can be described as a multi-parameter formal hom-associative deformation of the first associative Weyl algebra, and that this deformation induces a multi-parameter formal hom-Lie deformation of the corresponding Lie algebra, when using the commutator as bracket.

We obtain conditions for the nilpotency of finite-dimensional n-tuple Lie algebras and finite-dimensional associative n-tuple algebras. The established conditions are analogous to theorems of Engel and Wedderburn for Lie algebras and associative algebras.

Compatible [formula omitted]-operators on bimodules over associative algebras

A class of the associative and Lie algebras A[D] = A⊗F[D] of Weyl type are studied, where A is a commutative associative algebra with an identity element over a field F of characteristic zero, and F[D] is the polynomial algebra of a finite dimensional commutative subalgebra of locally finite derivations of A such that A is D-simple. The derivations of these associative and Lie algebras are precisely determined.

Проблема голографічної асоціативної пам’яті обговорюється в рамках кореляційно-оптичного підходу. Аналіз моделей безопорної голограми та нелінійно зареєстрованих позаосевих голограм, зчитуваних в асоціативному режимі, показує широкий спектр корисних властивостей таких голограм не лише для відновлення відсутньої частини збереженого масиву даних, а й для детектування малих змін (помилок) у записаній картині, для відновлення повного масиву даних з корекцією помилок за неповною версією масиву, а також для здійснення високоефективного гетероасоціативного відновлення на базі неінтерференційного механізму зв’язку парціальних сигналів. Показано, що візуально оцінювана якість відновленого асоціативного відгуку може наближатись до якості зображення, що досягається у звичайній позаосевій голографії.

The year was 1952. Dwight Eisenhower was elected president in a landslide over Adlai Stevenson. The first contraceptive pill was developed. Dr. Jonas Salk developed the polio vaccine. Hemingway's The Old Man and the Sea was published, and the New York Yankees won the World Series over the Brooklyn Dodgers in seven games. And on July 1st, the Counseling Association (ACA) was incorporated as a nonprofit organization. Of course, 50 years ago, ACA was not called Many people think that it was called the American and Guidance Association (APGA), but that was actually the second name. For a very short period of time, we were called the Personnel Guidance Association (PGA). However the PGA, the Professional Golfers' Association of America, took a dislike to our initials and their lawyers suggested that we change our name (D. Coy, personal communication, November 10, 2001). So APGA (ACA) was born. To understand ACA, it is instructive to examine two aspects of our past. The first is the impetus for our beginning. The year 1952 marked the coming together of four existing organizations to form the APGA: The National Vocational Guidance Association (NVGA), the National Association of Guidance and Counselor Trainers (NAGCT), the Student Association for Teacher Education (SPATE), and the College Association (ACPA; Counseling Association, n.d.). This coming together was for very practical purposes: to pool resources so that a national conference could be held (the first one was in Los Angeles) and to save money by sharing administrative staff. Thus ACA (APGA) was instituted as an umbrella organization that served a wide variety of constituencies. This attitude continues to be ingrained in the ACA culture. A second aspect revolves around the four organizations that came together to form ACA. NVGA, ACPA, SPATE, and NAGCT were already established organizations in 1952 and so brought established identities to the newly formed umbrella organization. These identities have defined professional counseling and set it apart from other helping professions. The oldest of the four founding groups was NVGA. Established in 1913, NVGA was formed to prepare young people for the world of work (Sheeley, 1988). NVGA has evolved into the National Career Development Association (NCDA) and has expanded its focus to career development across the life span. It is because of NCDA (NVGA) that professional counselors are trained in career counseling and methods for helping clients fit their occupation into a healthy lifestyle. Counseling is the only mental health profession that focuses on career development, and it is a core part of our identity. Without NVGA, this would never have happened. The College Association (ACPA) was founded in 1924. ACPA triggered an important debate in ACA over the minimum qualifications necessary to be an ACA member. Why did this issue come from ACPA? It arose because unlike, the other divisions, many of ACPA's members had positions that did not revolve around the provision of counseling services. Although many ACPA members worked in college counseling centers, many others worked in student affairs: college admissions, housing, financial aid, and so on. Many counselors believed that the minimum academic credential necessary for ACA membership was a graduate degree. However, the ACPA student affairs membership believed that a bachelor's degree was appropriate for ACA membership eligibility. The issue was resolved in 1992 in a way that helped both ACPA and ACA. ACPA left ACA to focus on student affairs professionals and is still a vibrant organization. ACA then established the College Counseling Association (ACCA) to focus on college counselors. ACA also established a master's degree as the minimum requirement for membership. As a result, the identity of professional counselors now includes the earning of a master's or doctoral degree. …

The compact High-Frequency Surface Wave Radar (HFSWR) has low spatial resolution for target detection due to its reduced aperture of the receiving antenna array. The sequential plot-to-track association method used in multi-target tracking algorithms is prone to erroneous association, which easily leads to track fragmentation and false tracking. In order to solve this problem, regarding the multi-target plot-to-track association as an optimal allocation problem, an optimal multi-target plot-to-track association method based on JVC (Jonker-Volgenant-Castanon) algorithm is proposed. For multiple tracks with common candidate plots in their overlapped association gate, firstly, the similarity between their candidate plots and all tracks is calculated using the minimal cost function with target Doppler velocity, range and azimuth as parameters and an association cost matrix is formed. Then, the optimal association result is achieved by minimizing the total association cost using the JVC algorithm. Both simulation and field target data were used to carry out the plot-to-track association experiment, and the association results are compared with the sequential nearest neighbor association method. The experimental results show that the track length obtained by the proposed method is superior to that of the sequential nearest neighbor method, thus the track continuity is improved.

In 2010 Medicaid financed approximately 48% of all births in the United States and nearly 30% of all births in Virginia. Due to strict state-specific eligibility criteria, many low-income women qualify for Medicaid coverage exclusively as a result of pregnancy status. As the nation moves forward with the Patient Protection and Affordable Care Act (PPACA), state-elected Medicaid expansion has the potential to expand services to women of reproductive age that would precede pregnancy events and offer continuous access to care postpartum. Despite this potential influx of newly insured women, little is known about how this population may make decisions regarding reproductive healthcare services and if these selections influence process and outcome measures. This study examines two research aims that provide insight into these knowledge gaps. First, utility theory and discrete choice modeling is used to examine clinic and patient level factors associated with clinic type choice. Specifically, this study examines the role of high risk pregnancy status and travel distance to clinic as associated with clinic selection. Second, Donabedian’s Structure, Process, Outcome framework provides a conceptual lens to examine if clinic selection is associated with maternal and infant measures. The linear probability model and logistic regression models are employed to examine two process measures, including prenatal care inadequacy and postpartum visit nonattendance, and three outcome measures including maternal long acting reversible contraceptive method (LARC) use and infant birthweight and gestational age. Results examining clinic type selection reveal significant associations between independent and dependent variables. Women experiencing a high risk pregnancy are significantly more likely to select a hospital based clinic for care, compared to women experiencing a normal risk pregnancy. However, when specifically examining women experiencing their first pregnancy, this association is no longer significant. Additionally, as distance to clinic type increase, women are significantly less likely to select that clinic type for prenatal care. Clinic selection was found to be significantly associated with maternal measures, but not significantly associated with infant outcomes. Selecting a public health department or Federally Qualified Health Center for prenatal care services was associated with a significant decrease in inadequate prenatal care, postpartum visit nonattendance, and non-LARC use compared to a private physician office. Clinic type selection, however, was not found to be significantly associated with infant outcomes including preterm birth and low birthweight babies. Results from Research Aim 1 have a variety of implications for clinic and public policy and offer guidance for future research. Clinics that seek to provide care to pregnant Medicaid beneficiaries should examine local residential patterns of current and potential future pregnant Medicaid recipients and consider how these might affect decisions about future clinic locations. Results suggest that women are more likely to attend clinic types closer to their area of residence, and this close proximity may have additional implications beyond shorter travel time to clinic including the minimization of transportation and childcare issues. Results from Research Aim 2 analyses offer a variety of public policy implications and guidance for future research. This research provides evidence that public health facilities including public health departments and FQHCs have improved prenatal care adequacy and postpartum visit attendance compared to private physician offices, providing evidence that public funding should continue for these facility types. As the United States moves forward with PPACA, healthcare organization administration should turn to the public facilities in their communities to learn how to manage and improve the health of these patient populations and ultimately aim to improve access and quality care among the nation’s most vulnerable populations.

&lt;p&gt;In this paper, we have introduced Smarandache quasigroups which are Smarandache non-associative structures. W.B.Kandasamy [2] has studied groupoid ring and loop ring. We have defined&nbsp;Smarandache quasigroup rings which are again non-associative structures having two binary operations.&nbsp;Substructures of quasigroup rings are also studied.&lt;/p&gt;

Is the subject of the impact of federal policy in the development of national consciousness in Iraq (associations a model) of important topics, especially since the associations and clubs that have emerged in response to the federal policy had been marked mostly by being along the organized associations and clubs from outside Iraq, whether Arab or Western, and that those associations and clubs managed that play a prominent role in the national sense of the development of the Iraqi people, particularly the educated class and Iraqi officers who became their leading role in building the Iraqi state and to actively participate in political work leading to freedom and independence that are very wished for the Iraqi people as a whole. It dashed the hopes of the Arabs coup federal, as they followed the Ttrick nationalities and melted policy and quickly disguised to their principles and their slogans and began applying Turkification towards ethnic non-Turkish policy, which turned into a drive for self-consciousness element, and the perception within the public schools, in particular, has such a policy was born reaction and averse clear A number of students and teachers and teachers who realized that they urgently need to stick to national belonging expression of opposition to the approach of the federal fanatic, was to be the trend that collide with other national trends, especially the Arab direction. The manifestations of support enjoyed by the Union and Progress Association at the beginning of receipt of the referee, after the 1908 coup, began to recede gradually, especially after it came to light the fact that the federal racism, their actions within the envoys Council that showed the falsity of their claims about freedom, justice and equality, then splits began to appear within the Assembly that led to the emergence of competing political parties have, especially in Iraq and the most prominent of these associations opposition cooperation and the free party moderate Secret Society and the Freedom Party and the Alliance and the Association of Basra, the reformist National Scientific Club and the Association of Science and Covenant Association as the national consciousness of the Iraqi began to focus in the course organizer in the late Ottoman period and became the most prominent Members Iraqis in associations and clubs that emerged in the late Ottoman period inside and outside Iraq prominent politicians in the reign of King Faisal I, but that most of them members of the Council entered the Ottoman envoys, and on the boards of Representatives and the Senate, divided between opponents and supporters. It was natural to leave the federal revolution in 1908 a direct impact on the Iraqi political thought in the late Ottoman period, by virtue of their nature and results, and by virtue of being an event internally because Iraq is a part of the Ottoman Empire and because of the activities of federal inside Iraq before the revolution as well as that the goals of the revolution , and goals were clear in the minds of Iraqi intellectuals

Wireless mesh networks (WMNs) have emerged as a promising step towards the goal of ubiquitous broadband wireless access due to the ease of deployment and its low cost. Current research on WMNs aims at a number of challenges, including capacity limitation and poor fairness. In this thesis we carefully design association, routing and scheduling algorithms to enhance throughput and fairness in WMNs. The association mechanism specified by the IEEE 802.11 standard is based on the received signal strength. Employing this mechanism in WMNs may only achieve low throughput and low user transmission rates. We develop a new association framework in order to provide optimal association and network performance in WMNs. In this framework, we first propose two new access link metrics that are aware of channel condition, channel access contention as well as AP load. We then extend association mechanisms based on such metrics in a cross-layer manner taking into account information from the routing layer, in order to fit it in the operation of WMNs. We evaluate the performance of our system through simulations, and show that WMNs that use the proposed association mechanism can achieve up to 100% improvement in throughput and delay. Contention-based MAC protocols such as 802.11 greatly limit the throughput and fairness of WMNs. Significantly higher throughput and fairness are achievable if bandwidth is carefully allocated and transmissions are scheduled. To study the performance limits of WMNs, we first optimally allocate bandwidth to each data flow, jointly computing the user-router association and backbone routing solutions, such that network throughput can be maximized while certain fairness is achieved. We then focus on the integral association, single-path routing case and investigate the optimal performance of a WMN on a given tree topology. We also develop an efficient scheduling algorithm to coordinate channel access and to enforce the allocated bandwidth. Our evaluation shows that association and routing have a great impact on bandwidth allocation, namely constructing a good topology can improve throughput while enhancing fairness. Finally, multiple channel and Multiple-Input-Multiple-Output (MIMO) are two technologies being introduced into WMNs to mitigate interference and increase network capacity. Higher layer protocols need to be aware of these techniques in order to fully leverage their benefits, which makes cross-layer approach desirable. We first formulate a cross-layer optimization framework for maximizing an aggregate utility, which jointly allocates link bandwidth for data flows, and determines channel assignment and MIMO stream selection. We then present an efficient MIMO-aware scheduling algorithm called stream controlled multiple access (SCMA). SCMA determines a baseline schedule in the channel assignment stage where a set of non-interfering links are scheduled on each channel. The second stage of SCMA, link pairing, takes advantage of the performance gain of MIMO stream control. SCMA also incorporates a congestion control scheme at traffic sources to prevent the network from being overloaded. Simulation results show that the MIMO-aware scheduling algorithm leads to about 50%∼100% higher throughput while preserving fairness than the MIMO-oblivious algorithm. It achieves close-to-the-optimal performance in certain scenarios.