Castelnuovo-Mumford regularity and arithmetic Cohen-Macaulayness of complete bipartite subspace arrangements

We give the Castelnuovo-Mumford regularity of arrangements of (n-2)-planes in P^n whose incidence graph is a sufficiently large complete bipartite graph, and determine when such arrangements are arithmetically Cohen-Macaulay.Comment: v3: Minor changes, 5p

The roles of adult siblings in the lives of people with severe intellectual and developmental disabilities

BACKGROUND: Siblings of people with intellectual and developmental disabilities (IDD) often assume key roles to support their brothers and sisters. For people with more significant support needs, siblings may undertake additional roles and responsibilities throughout their lives. The purpose of the present study was to identify and describe the roles of adult siblings who have a brother or sister with severe IDD. METHOD: Seventy‐nine adult siblings from 19 to 72 years of age completed an online survey with open‐ended questions about the roles they play in their relationships with their brother or sister. RESULTS: Thematic analysis resulted in identification of several roles including caregiver, friend (social partner), advocate, legal representative, sibling (teacher/role model), leisure planner and informal service coordinator. CONCLUSION: Siblings assume key roles in the lives of people with IDD and need support from family and professionals to perform these roles.Accepted manuscrip

Patterns of adult sibling role involvement with brothers and sisters with intellectual and developmental disabilities

Adult siblings of individuals with intellectual and developmental disabilities (IDD) are increasingly involved in family care, yet, adult siblings consistently report needing more information and support to engage in these roles. Knowing more about which roles siblings are likely to assume may help address this need. Thus, we further examined the most common roles assumed by adult siblings (N = 171), the demographic variables related to an increased likelihood of assuming specific roles, and the potential clusters in patterns of role assumption. We transformed qualitative data from an online survey with four open-ended questions about sibling relationships and roles into quantitative presence data for role-related codes in order to examine relationships between assumed roles and demographic variables. The most common roles assumed by adult siblings were friend, advocate, caregiver, and sibling. Key demographic variables related to role assumption included disability severity, emotional closeness, and age of the brother or sister with IDD. Cluster analyses indicated five potential categories of adult sibling role involvement: Companion, Least Involved, Highly Involved, Needs Focused, and Professional. Implications and future areas of research are shared.Accepted manuscrip

Quantum and string shape fluctuations in the dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings

The magnetic monopole condensate is calculated in the dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings suggested in Refs.[1,2] as a functional of the dual Dirac string shape. The calculation is carried out in the tree approximation in the scalar monopole-antimonopole collective excitation field. The integration over quantum fluctuations of the dual-vector monopole-antimonopole collective excitation field around the Abrikosov flux line and string shape fluctuations are performed explicitly. We claim that there are important contributions of quantum and string shape fluctuations to the magnetic monopole condensate.Comment: 19 pages, Latex, 2 figure

Confinement potential in dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings

Interquark confinement potential is calculated in the dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings as a functional of a dual Dirac string length. The calculation is carried out by the explicit integration over quantum fluctuations of a dual-vector field (monopole-antimonopole collective excitation) around the Abrikosov flux line and string shape fluctuations. The contribution of the scalar field (monopole-antimonopole collective excitation) exchange is taken into account in the tree approximation due to the London limit regime.Comment: 10 pages, Latex, no figure

A Simple Syllable

This assignment was a simple literacy narrative about some point in my life that helped develop my love for reading. I choose a point early in my life where I had a speech impediment and had trouble speaking words clearly. I got over this difficult time by reading. The only research I had to do for this paper was figure or some smaller details from my parents that I could not remember since I was so young. Other than that all the information came from the deep depths on my mind. There were 3 drafts to this paper, a rough draft, a final draft, and then a revised final draft. The first final draft came from a peer review session with a classmate and the revised final draft came from both a conference with my professor and a visit to the Write Place. Overall, I am extremely happy with how this literacy narrative turned out as it is a clear representation with the struggle I experienced as a child and how reading helped me defeat the difficult times

From isomorphism to polymorphism: connecting interzeolite transformations to structural and graph similarity

Zeolites are nanoporous crystalline materials with abundant industrial applications. Despite sustained research, only 235 different zeolite frameworks have been realized out of millions of hypothetical ones predicted by computational enumeration. Structure-property relationships in zeolite synthesis are very complex and only marginally understood. Here, we apply structure and graph-based unsupervised machine learning to gain insight on zeolite frameworks and how they relate to experimentally observed polymorphism and phase transformations. We begin by describing zeolite structures using the Smooth Overlap of Atomic Positions method, which clusters crystals with similar cages and density in a way consistent with traditional hand-selected composite building units. To also account for topological differences, zeolite crystals are represented as multigraphs and compared by isomorphism tests. We find that fourteen different pairs and one trio of known frameworks are graph isomorphic. Based on experimental interzeolite conversions and occurrence of competing phases, we propose that the availability of kinetic-controlled transformations between metastable zeolite frameworks is related to their similarity in the graph space. When this description is applied to enumerated structures, over 3,400 hypothetical structures are found to be isomorphic to known frameworks, and thus might be realized from their experimental counterparts. Using a continuous similarity metric, the space of known zeolites shows additional overlaps with experimentally observed phase transformations. Hence, graph-based similarity approaches suggest a venue for realizing novel zeolites from existing ones by providing a relationship between pairwise structure similarity and experimental transformations.Comment: 11 pages, 6 figure

Understanding decision making among individuals With Intellectual and Developmental Disabilities (IDD) and their siblings

Many siblings anticipate fulfilling caregiving roles for their brothers and sisters with intellectual and developmental disabilities (IDD). Given these roles and the importance of supported decision-making, it is crucial to understand how individuals with IDD and their siblings make decisions. Using dyadic interviews, we examined the perspectives of nine sibling dyads (N = 18) about decision-making in relation to self-determination, independent living, and employment. The ages of participants ranged from 19 to 57. Data were analyzed using constant comparative analysis to identify themes. Decision-making was characterized by: parents and siblings primarily identifying courses of action; the probability of respective consequences based on the person-environment fit; and the role of the sibling in making the final decision. Characteristics related to the individual with IDD, the family, the sibling, and the environment impacted decision-making. Individuals with IDD were more likely to make their own decisions about leisure activities, however, siblings were more likely to make formal decisions for their brothers and sisters.Accepted manuscrip