Ideal-quasi-Cauchy sequences

An ideal $I$ is a family of subsets of positive integers $\textbf{N}$ which is closed under taking finite unions and subsets of its elements. A sequence $(x_n)$ of real numbers is said to be $I$-convergent to a real number $L$, if for each \;$\varepsilon> 0$ the set $\{n:|x_{n}-L|\geq \varepsilon\}$ belongs to $I$. We introduce $I$-ward compactness of a subset of $\textbf{R}$, the set of real numbers, and $I$-ward continuity of a real function in the senses that a subset $E$ of $\textbf{R}$ is $I$-ward compact if any sequence $(x_{n})$ of points in $E$ has an $I$-quasi-Cauchy subsequence, and a real function is $I$-ward continuous if it preserves $I$-quasi-Cauchy sequences where a sequence $(x_{n})$ is called to be $I$-quasi-Cauchy when $(\Delta x_{n})$ is $I$-convergent to 0. We obtain results related to $I$-ward continuity, $I$-ward compactness, ward continuity, ward compactness, ordinary compactness, ordinary continuity, $\delta$-ward continuity, and slowly oscillating continuity.Comment: 16 pages. arXiv admin note: text overlap with arXiv:1005.494

Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function

A streamlined derivation of the Kac-Ward formula for the planar Ising model's partition function is presented and applied in relating the kernel of the Kac-Ward matrices' inverse with the correlation functions of the Ising model's order-disorder correlation functions. A shortcut for both is facilitated by the Bowen-Lanford graph zeta function relation. The Kac-Ward relation is also extended here to produce a family of non planar interactions on $\mathbb{Z}^2$ for which the partition function and the order-disorder correlators are solvable at special values of the coupling parameters/temperature.Comment: An extension of the Kac-Ward determinantal formula beyond planarity was added (Section 5). To appear in Journal of Statistical Physic

Ward Family Collection Microfilm

https://place.asburyseminary.edu/findingaids/1075/thumbnail.jp

Symmetry Constraints in Inflation, α\alpha-vacua, and the Three Point Function

The Ward identities for conformal symmetries in single field models of inflation are studied in more detail in momentum space. For a class of generalized single field models, where the inflaton action contains arbitrary powers of the scalar and its first derivative, we find that the Ward identities are valid. We also study a one-parameter family of vacua, called $\alpha$-vacua, which preserve conformal invariance in de Sitter space. We find that the Ward identities, upto contact terms, are met for the three point function of a scalar field in the probe approximation in these vacua. Interestingly, the corresponding non-Gaussian term in the wave function does not satisfy the operator product expansion. For scalar perturbations in inflation, in the $\alpha$-vacua, we find that the Ward identities are not satisfied. We argue that this is because the back-reaction on the metric of the full quantum stress tensor has not been self-consistently incorporated. We also present a calculation, drawing on techniques from the AdS/CFT correspondence, for the three point function of scalar perturbations in inflation in the Bunch-Davies vacuum.Comment: 51 pages, 3 figures, 6 appendices. v3: JHEP version. Minor typos correcte

Ward Family Papers (MSS 59)

Finding aid only for Manuscripts Collection 59. Papers chiefly of Hezekiah and Richard Ward of Ohio County, Kentucky. Promissory notes, 1857-79 (14 items); tax receipts, 1864-68 (4); telephone receipts, 1913-34 (44); and miscellaneous receipts, 1824-1937 (40); legal papers, 1873-1939 (14); essay and play, 189?; and genealogical data (2)

“It’s a big deal, being given a person” – a study of the links between infertility and adoption

This study was commissioned and funded by Family Care and undertaken by Jo Ward and Joe Smeeton, both Principal Lecturers at Nottingham Trent University. It comprises a review of the literature relating to the links between adoption and infertility, a survey of the views of adoption from people who have experienced infertility, and 3 qualitative interviews with people who have experienced infertility but not adopted

Palliative Care In Hospital: Perceptions of Care : A thesis presented in partial fulfilment of the requirements for a Master of Science in Psychology at Massey University, Manawatu Campus, New Zealand

In New Zealand, as in many other developed countries, a large number of people die in a hospital setting (Broad, Gott & Boyd, 2013). Based on New Zealand’s growing and aging population, this number is expected to increase (Ministry of Health, 2001). Previous studies have investigated how family members perceive palliative care, but there is still a lack of understanding of how families perceive this care in hospital and in particular in a New Zealand context. This research investigated how family members experienced a patient’s palliative care in a medical ward in a New Zealand hospital. Seven participants who were next-of-kin/contact person for an individual who had passed away while on a medical ward in a New Zealand hospital three to 12 months prior took part in semi-structured interviews which were analysed using thematic analysis. As a result of the analysis, five themes were identified: Physical environment, interactions with staff, communication regarding palliative care, identifying and accepting death, and care after death. These results have implications for the way in which palliative care is provided in New Zealand hospitals. Through the consideration of these factors, the experience of next-of-kin/contact people can be improved