Applying Equity Literacy’s Four Abilities to Middle Schools for the Benefit of Students Experiencing Homelessness

In this essay, I use the McKinney-Vento Homeless Education Assistance Improvements Act of 2001 to define homelessness and describe its prevalence in United States public schools. I present readers with statistics about student homelessness and situate Gorski’s equity literacy within the progressive, equity-oriented foundations of the middle school movement and as a means by which stakeholders could begin to address homelessness in their contexts. After presenting the four abilities of equity literate educators, I apply the abilities to the nuances of student homelessness in the middle grades

Ball-lock-bolt separation system

Ball-lock-bolt separation system for aerospace application

Effect of disjoining pressure in a thin film equation with\ud non-uniform forcing

We explore the effect of disjoining pressure on a thin film equation in the presence of a non-uniform body force, motivated by a model describing the reverse draining of a magnetic film. To this end, we use a combination of numerical investigations and analytical considerations. The disjoining pressure has a regularizing influence on the evolution of the system and appears to select a single steady-state solution for fixed height boundary conditions; this is in contrast with the existence of a continuum of locally attracting solutions that exist in the absence of disjoining pressure for the same boundary conditions. We numerically implement matched asymptotics expansions to construct equilibrium solutions and also investigate how they behave as the disjoining pressure is sent to zero. Finally, we consider the effect of the competition between forcing and disjoining pressure on the coarsening dynamics of the thin film for fixed contact angle boundary conditions

Using the validated Reflective Functioning Questionnaire to investigate mentalizing in individuals presenting with eating disorders with and without self-harm

Background The present study builds on previous research which explored the relationship between mentalizing and eating disorders (ED) in a subgroup of patients with comorbid self-harm (SH). Whereas previous literature had linked this comorbidity to impulse-control difficulties, more recent advances have suggested that a lack of a mentalizing stance might be responsible for a more treatment-resistant and severe symptomatology in this subgroup of clients. Methods A cross-sectional, quasi-experimental, questionnaire-based, between-groups design was employed and a measure of mentalizing was compared in individuals presenting with ED only, individuals presenting with ED and concurrent SH and a control group. Results Individuals with ED with concurrent SH reported significantly more mentalizing ability impairment than individuals without concurrent SH. In addition, both groups differed significantly from the control group. Opposite scoring patterns were identified in hypo- and hypermentalizing with the comorbid group reporting the lowest scores in hypermentalizing and the highest scores in hypomentalizing. Conclusions The current findings confirm that individuals with concurrent ED and SH report more severe impairments in mentalizing ability. Such impairments entail difficulties in symbolic capacity and abstract thinking and a concretisation of inner life, exemplified by a rigid, often inflexible focus on the physical world. The clinical implications that a lack of a mentalizing stance can have on individuals’ ability to engage with the therapeutic process and to initiate change are reflected upon

An in-flight investigation of ground effect on a forward-swept wing airplane

A limited flight experiment was conducted to document the ground-effect characteristics of the X-29A research airplane. This vehicle has an aerodynamic platform which includes a forward-swept wing and close-coupled, variable incidence canard. The flight-test program obtained results for errors in the airdata measurement and for incremental normal force and pitching moment caused by ground effect. Correlations with wind-tunnel and computational analyses were made. The results are discussed with respect to the dynamic nature of the flight measurements, similar data from other configurations, and pilot comments. The ground-effect results are necessary to obtain an accurate interpretation of the vehicle's landing characteristics. The flight data can also be used in the development of many modern aircraft systems such as autoland and piloted simulations

Characterizing Block Graphs in Terms of their Vertex-Induced Partitions

Given a finite connected simple graph $G=(V,E)$ with vertex set $V$ and edge set $E\subseteq \binom{V}{2}$, we will show that $1.$ the (necessarily unique) smallest block graph with vertex set $V$ whose edge set contains $E$ is uniquely determined by the $V$-indexed family ${\bf P}_G:=\big(\pi_0(G^{(v)})\big)_{v \in V}$ of the various partitions $\pi_0(G^{(v)})$ of the set $V$ into the set of connected components of the graph $G^{(v)}:=(V,\{e\in E: v\notin e\})$, $2.$ the edge set of this block graph coincides with set of all $2$-subsets $\{u,v\}$ of $V$ for which $u$ and $v$ are, for all $w\in V-\{u,v\}$, contained in the same connected component of $G^{(w)}$, $3.$ and an arbitrary $V$-indexed family ${\bf P}p=({\bf p}_v)_{v \in V}$ of partitions $\pi_v$ of the set $V$ is of the form ${\bf P}p={\bf P}p_G$ for some connected simple graph $G=(V,E)$ with vertex set $V$ as above if and only if, for any two distinct elements $u,v\in V$, the union of the set in ${\bf p}_v$ that contains $u$ and the set in ${\bf p}_u$ that contains $v$ coincides with the set $V$, and $\{v\}\in {\bf p}_v$ holds for all $v \in V$. As well as being of inherent interest to the theory of block graphs, these facts are also useful in the analysis of compatible decompositions and block realizations of finite metric spaces