630 research outputs found
Why are Spiritual Aspects of Care so hard to Address in Nursing Education?â A Literature Review (1993-2015)
Difficulties persist in conceptualising spiritual needs and understanding their relationship to religious needs and relevance to wellbeing. This review was undertaken to clarify some of these issues. It set out to establish what is already known about how issues of spiritual assessment and care are addressed in undergraduate nursing education. Using a systematic approach, a literature review covering the period 1993-2015 was undertaken. Reviewed materials were collected from mainly online sources including with searches conducted using CINHAL, SUMMON and PubMed databases, after defining keywords and inclusion and exclusion criteria. The study found that Spirituality appears to be a broad but useful category which is concerned with how people experience meaning and purpose in their lives. However, it also established that here are relatively few studies focused on how spiritual care competencies could be developed in nursing students. There is also little work exploring nursing educatorsâ perspectives and experiences about how to develop spiritual competencies in their students. The study concludes that further research is necessary in order to bridge the gap between aspirations and practice
The geometry of eight points in projective space: Representation theory, Lie theory, dualities
This paper deals with the geometry of the space (GIT quotient) M_8 of 8
points in P^1, and the Gale-quotient N'_8 of the GIT quotient of 8 points in
P^3. The space M_8 comes with a natural embedding in P^{13}, or more precisely,
the projectivization of the S_8-representation V_{4,4}. There is a single
S_8-skew cubic C in P^{13}. The fact that M_8 lies on the skew cubic C is a
consequence of Thomae's formula for hyperelliptic curves, but more is true: M_8
is the singular locus of C. These constructions yield the free resolution of
M_8, and are used in the determination of the "single" equation cutting out the
GIT quotient of n points in P^1 in general. The space N'_8 comes with a natural
embedding in P^{13}, or more precisely, PV_{2,2,2,2}. There is a single skew
quintic Q containing N'_8, and N'_8 is the singular locus of the skew quintic
Q. The skew cubic C and skew quintic Q are projectively dual. (In particular,
they are surprisingly singular, in the sense of having a dual of remarkably low
degree.) The divisor on the skew cubic blown down by the dual map is the secant
variety Sec(M_8), and the contraction Sec(M_8) - - > N'_8 factors through N_8
via the space of 8 points on a quadric surface. We conjecture that the divisor
on the skew quintic blown down by the dual map is the quadrisecant variety of
N'_8 (the closure of the union of quadrisecant *lines*), and that the quintic Q
is the trisecant variety. The resulting picture extends the classical duality
in the 6-point case between the Segre cubic threefold and the Igusa quartic
threefold. We note that there are a number of geometrically natural varieties
that are (related to) the singular loci of remarkably singular cubic
hypersurfaces. Some of the content of this paper appeared in arXiv/0809.1233.Comment: 31 pages, 4 figure
The relations among invariants of points on the projective line
We consider the ring of invariants of n points on the projective line. The
space (P^1)^n // PGL_2 is perhaps the first nontrivial example of a Geometry
Invariant Theory quotient. The construction depends on the weighting of the n
points. Kempe discovered a beautiful set of generators (at least in the case of
unit weights) in 1894. We describe the full ideal of relations for all possible
weightings. In some sense, there is only one equation, which is quadric except
for the classical case of the Segre cubic primal, for n=6 and weight 1^6. The
cases of up to 6 points are long known to relate to beautiful familiar
geometry. The case of 8 points turns out to be richer still.Comment: 6 page announcemen
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