We study signed differential posets, a signed version of Stanley’s differential posets. These posets satisfy enumerative identities which are signed analogues of those satisfied by differential posets. Our main motivations are the sign-imbalance identities for partition shapes originally conjectured by Stanley, now proven in [3, 4, 6]. We show that these identities result from a signed differen...

We consider a symmetric positive definite weakly exchangeable infinite random matrix whose elements take a finite number of values and we prove that if the distribution of the matrix satisfies the Ghirlanda-Guerra identities then it is ultrametric with probability one.

We investigate the Ward identities of the W ∞ symmetry in the Liouville theory coupled to the (p, q) conformal matter. The correlation functions are defined by applying the analytic continuation procedure for the matter sector as well as the Liouville one. We then find that the Ward identities are equivalent to the W q algebra constraints deduced from the matrix model.

The IOS Adoption Motivation (IAM) model is a theoretical framework that relates organisational motivations for IOS adoption to IOS adoption processes. The IAM model which was tested in the Australian pharmaceutical industry however requires additional validation. We have thus applied the IAM model to understand IOS adoption processes of a supplier that operates in the Australian automotive indu...

An alternating sign matrix is a square matrix with entries 1, 0 and −1 such that the sum of the entries in each row and each column is equal to 1 and the nonzero entries alternate in sign along each row and each column. To some of the symmetry classes of alternating sign matrices and their variations, G. Kuperberg associate square ice models with appropriate boundary conditions, and give determ...

As climate change gains global attention from events like the summit in Copenhagen held during December of 2009, the need for sustainable tourism is more important than ever; with comprehensive education in sustainability concepts and practices essential, and methods for networking to share information critical. Specifically, sustainability focuses on the triple bottom line of equity, economics...

Let K(q, t) = K λµ (q, t) λ,µ be the Macdonald q, t-Kostka matrix and K(t) = K(0, t) be the matrix of the Kostka-Foulkes polynomials K λµ (t). In this paper we present a new proof of the polynomiality of the q, t-Kostka coefficients that is both short and elementary. More precisely, we derive that K(q, t) has entries in Z[q, t] directly from the fact that the matrix K(t) −1 has entries in Z[t]....

background and purpose: personal identity is the sense of being distinct from other individuals, which is of paramount importance during adolescence. modern theories suggest that young adults perceive personal identity in different ways, and several factors affect this phenomenon. leisure time activities are a significant element during adolescence. this study aimed to evaluate the relationship...

The Status of National-Religious Identity in High School Farsi Textbooks Y. Ma'roofi, Ph.D. S. Panaahi Tavaanaa To discover the extent to which the subject of national-religious identity is covered in high school Farsi textbooks in literature, all such textbooks (a total of 8) were content analyzed utilizing a check list of relevant indices. The validity of the instrument was asse...

This study examines how Greek-Cypriot students aged 12 to 18, an understudied group of students, construct their ethnic identity in a complex setting such as Cyprus and what motivates the students in the selection of ethnic identity labels. The choice to focus on students aged 12-18 was made on the hypothesis that young children, who did not experience the 1974 war in Cyprus, may have a differe...