6,007 research outputs found
A holistic aboriginal framework for individual healing
This paper offers up an holistic Indigenous model of individual healing that utilizes medicine wheel teachings to break down the four aspects (spiritual, emotional, physical, and mental) of individual wellness. Teachings about each direction are presented followed by practice techniques for each aspect of the individual self. It is bookended by an introduction to the historical trauma faced by Indigenous peoples in Canada, and a conclusion that draws implications for healing
A partition of connected graphs
We define an algorithm k which takes a connected graph G on a totally ordered
vertex set and returns an increasing tree R (which is not necessarily a subtree
of G). We characterize the set of graphs G such that k(G)=R. Because this set
has a simple structure (it is isomorphic to a product of non-empty power sets),
it is easy to evaluate certain graph invariants in terms of increasing trees.
In particular, we prove that, up to sign, the coefficient of x^q in the
chromatic polynomial of G is the number of increasing forests with q components
that satisfy a condition that we call G-connectedness. We also find a bijection
between increasing G-connected trees and broken circuit free subtrees of G.Comment: 8 page
Enumeration of paths and cycles and e-coefficients of incomparability graphs
We prove that the number of Hamiltonian paths on the complement of an acyclic
digraph is equal to the number of cycle covers. As an application, we obtain a
new expansion of the chromatic symmetric function of incomparability graphs in
terms of elementary symmetric functions. Analysis of some of the combinatorial
implications of this expansion leads to three bijections involving acyclic
orientations
In The Trenches: Traditional Healers\u27 Understanding of Health and Healing
This study explored understandings of traditional healing from the perspectives of traditional healers and helpers. The sample of sixteen individuals was initially identified by key informants, and then the sample snowballed by word of mouth. Among the sample are healers from a variety of cultures, including Anishnaabe, Mohawk, Oneida, Seneca, Paiute, Inuit, Innu, and Potawatomi. Traditional Indigenous protocols were followed by the researcher during the course of the study. In-depth interviews were conducted with each participant. Interviews were audio-recorded and verbatim transcripts were analyzed qualitatively. These individuals shared their understanding of the work that they do, including ceremonies, use of medicine, power of prayer, and rites of passage, as well as the implications of traditional healing in this ever-changing society. The findings suggest there is a growing need for traditional healing with Indigenous people
Set maps, umbral calculus, and the chromatic polynomial
Some important properties of the chromatic polynomial also hold for any
polynomial set map satisfying p_S(x+y)=\sum_{T\uplus U=S}p_T(x)p_U(y). Using
umbral calculus, we give a formula for the expansion of such a set map in terms
of any polynomial sequence of binomial type. This leads to some new expansions
of the chromatic polynomial. We also describe a set map generalization of Abel
polynomials.Comment: 20 page
Integrable systems from the classical reflection equation
We construct integrable Hamiltonian systems on , where is a
quasitriangular Poisson Lie group and is a Lie subgroup arising as the
fixed point set of a group automorphism of satisfying the
classical reflection equation. In the case that is factorizable, we show
that the time evolution of these systems is described by a Lax equation, and
present its solution in terms of a factorization problem in . Our
construction is closely related to the semiclassical limit of Sklyanin's
integrable quantum spin chains with reflecting boundaries.Comment: 23 pages, published versio
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