Our main result asserts that for any given numbers C and D the class of simply connected closed smooth manifolds of dimension m < 7 which admit a Riemannian metric with sectional curvature bounded in absolute value by |K| ≤ C and diameter uniformly bounded from above by D contains only finitely many diffeomorphism types. Thus in these dimensions the lower positive bound on volume in Cheeger’s F...

We propose several connectedness measures built from pieces of variance decompositions, and we argue that they provide natural and insightful measures of connectedness among financial asset returns and volatilities. We also show that variance decompositions define weighted, directed networks, so that our connectedness measures are intimately-related to key measures of connectedness used in the ...

Counselors, psychologists, and evaluators of intervention programs for youth increasingly view the promotion of connectedness as an important intervention outcome. When evaluating these programs, researchers frequently test whether the treatment effects differ across gender and ethnic or racial groups. Doing so necessitates the availability of culturally and gender-invariant measures. We used t...

Let D be a non-trivial simple t-design. For 1 ≤ s ≤ t, we generalize the concept of the incidence graph of D and construct a new bipartite regular graph Γ. We obtain that the edge-transitivity of the graph Γ is equivalent to the s-flag-transitivity of the design D. We then, for s = 2, classify the semisymmetric graphs among the graphs Γ constructed from biplanes and triplanes. Finally, we study...

We propose several connectedness measures built from pieces of variance decompositions, and we argue that they provide natural and insightful measures of connectedness among financial asset returns and volatilities. We also show that variance decompositions define weighted, directed networks, so that our connectedness measures are intimately-related to key measures of connectedness used in the ...

IMPLEMENTATION This reprint corresponds to the book-chapter " Algorithms for the detection of connectedness and their neural implementation " , Connectedness is one of the most important grouping criteria that allow the visual system to segregate objects from each other and from the background. We review algorithms for the detection of connectedness from a physiological point of view. Connected...

a r t i c l e i n f o This study compared perceptions of school connectedness to traditional community schools and residential treatment center (RTC) schools for youths between the ages of 12 and 18 receiving treatment within two RTCs. The influence of gender, report card grades, and engagement in treatment were also examined in relation to school connectedness in the RTC schools. Findings indi...

With the growth of online courses and programs in higher education, considerable concerns emerge about student feelings of isolation and disconnectedness in the online learning environment. A research study was conducted to develop and validate an instrument that can be used to measure perceptions of connectedness of students enrolled in online programs or certification programs in higher educa...

School connectedness is an important protective factor for adolescent risk-taking behaviour. This study examined a pilot version of the Skills for Preventing Injury in Youth (SPIY) programme, combining teacher professional development (PD) for increasing school connectedness (connectedness component) with a risk and injury prevention curriculum for early adolescents (curriculum component). A pr...