Graceful labellings for an infinite class of Generalised Petersen Graphs

Mediante la tecnica innovativa del graceful collage, vengono costruite etichettature graziose per tutti i grafi di Petersen generalizzati con passo 3 e circuito lungo 8t, pervenendo così alla prima etichettatura di una famiglia infinita di tali grafi

Unveiling The Tree: A Convex Framework for Sparse Problems

This paper presents a general framework for generating greedy algorithms for solving convex constraint satisfaction problems for sparse solutions by mapping the satisfaction problem into one of graph traversal on a rooted tree of unknown topology. For every pre-walk of the tree an initial set of generally dense feasible solutions is processed in such a way that the sparsity of each solution increases with each generation unveiled. The specific computation performed at any particular child node is shown to correspond to an embedding of a polytope into the polytope received from that nodes parent. Several issues related to pre-walk order selection, computational complexity and tractability, and the use of heuristic and/or side information is discussed. An example of a single-path, depth-first algorithm on a tree with randomized vertex reduction and a run-time path selection algorithm is presented in the context of sparse lowpass filter design

Method Meditation: An Experimental Demonstration of Systemization in Architecture

Method Meditation is an architectural design method developed during my exploration of systemization in the design process. Systems have been used throughout architectural history in an attempt to create space that can affect an occupant exactly the way the architect intended. However, these attempts have had inconsistent outcomes. This inconsistency has been attributed to several factors, from the variety to individual experiences that skew an observer’s viewpoint, to the lack of provable, causal relationships between environment and behavior. Due to these obstacles, other designers have used systems not to create perfect results, but to push their designs to new extents, and to produce unprecedented outcomes. To explore the relationship between systemization and design, I create my own method that would further incorporate the occupant in the design process, testing whether more thorough collaboration between the architect and occupant could produce a more desirable result. To do so, I examined the design preferences of thirty participants, twenty of whom are outside of the architectural field. The participants answered questions on two separate surveys that asked for preferences based on sixty two-dimensional illustrations. These illustrations are based in part on the work of Christopher Alexander, a proponent of systemization as a means of better design. The results of these surveys showed discrepancies between the choices of the participants within, and outside, of the architectural profession. Though the scope of this method is limited, its findings suggest the possible benefits of a closer relationship between the architect and occupants during the design process

Integrating Vehicle Slip and Yaw in Overarching Multi-Tiered Automated Vehicle Steering Control to Balance Path Following Accuracy, Gracefulness, and Safety

Balancing path following accuracy and error convergence with graceful motion in steering control is challenging due to the competing nature of these requirements, especially across a range of operating speeds and conditions. This paper demonstrates that an integrated multi-tiered steering controller considering the impact of slip on kinematic control, dynamic control, and steering actuator rate commands achieves accurate and graceful path following. This work is founded on multi-tiered sideslip and yaw-based models, which allow derivation of controllers considering error due to sideslip and the mapping between steering commands and graceful lateral motion. Observer based sideslip estimates are combined with heading error in the kinematic controller to provide feedforward slip compensation. Path following error is compensated by a continuous Variable Structure Controller (VSC) using speed-based path manifolds to balance graceful motion and error convergence. Resulting yaw rate commands are used by a backstepping dynamic controller to generate steering rate commands. A High Gain Observer (HGO) estimates sideslip and yaw rate for output feedback control. Stability analysis of the output feedback controller is provided, and peaking is resolved. The work focuses on lateral control alone so that the steering controller can be combined with other speed controllers. Field results provide comparisons to related approaches demonstrating gracefulness and accuracy in different complex scenarios with varied weather conditions and perturbations

Boston University Women's Chorale and Repertory Chorus, Monday, February 26, 2001

This is the concert program of the Boston University Women's Chorale and Repertory Chorus performance on Monday, February 26, 2001 at 8:00 p.m., at the Boston University Concert Hall, 855 Commonwealth Avenue, Boston, Massachusetts. Works performed were O aula nobilis, Op. 95 No. 4 by William Mathias, Cherubic Hymn from Liturgy of St. John Chrysostom by Aleksandr Kastal'sky, Laughing Song by Lloyd Pfaustch, The Snow, Op. 26 No. 1 by Edward Elgar, Psalm 100 by Rene Clausen, Cantique de Jean Racine, Op. 11 by Gabriel Faure, From Quatre Motets, Op. 10 by Maurice Durufle, French Choruses from The Lark by Jean Anouilh by Leonard Bernstein, and Trois Chansons de Charles d'Orleans by Claude Debussy. Digitization for Boston University Concert Programs was supported by the Boston University Humanities Library Endowed Fund

Sailing towards, and then against, the Graceful Tree Conjecture: some promiscuous results

Vengono proposti argomenti a favore di una possibile, futura, risposta negativa alla congettura di Ringel sulla graziosità degli alberi. Viene fornita una classificazione delle etichettature per una sottoclasse elementare di alberi, sottolineando che l'informazione combinatoria crea ostruzioni algebriche (che tuttavia non pregiudicano la graziosità, almeno in questo caso)

The ‘problem’ with Scottish dance music : two paradigms

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