Multiple solutions of coupled-cluster equations for PPP model of [10]annulene

Multiple (real) solutions of the CC equations (corresponding to the CCD, ACP and ACPQ methods) are studied for the PPP model of [10]annulene, C_{10}H_{10}. The long-range electrostatic interactions are represented either by the Mataga--Nishimoto potential, or Pople's R^{-1} potential. The multiple solutions are obtained in a quasi-random manner, by generating a pool of starting amplitudes and applying a standard CC iterative procedure combined with Pulay's DIIS method. Several unexpected features of these solutions are uncovered, including the switching between two CCD solutions when moving between the weakly and strongly correlated regime of the PPP model with Pople's potential.Comment: 5 pages, 4 figures, RevTeX

Biblioteki konwentualne dominikanów, karmelitów, reformatów i bernardynów na terenie obecnej Polski Środkowej od średniowiecza do XVIII wieku – źródła do ich dziejów, zachowane księgozbiory, profile treściowe. Komunikat

Celem mojego artykułu będzie omówienie przede wszystkim źródeł do historii bibliotek dominikańskich, bernardyńskich, reformackich i karmelitańskich znajdujących się na terenie obecnej Polski Centralnej w średniowieczu i XVI-XVIII w. (Gidle, Kłodawa, Łęczyca, Łowicz, Piotrków Trybunalski, Sieradz, Wieluń, Złoczew), przede wszystkim inwentarzy bibliotecznych, kronik klasztornych. Przedstawię także zachowane dzieła, znajdujące się dzisiaj w wielu bibliotekach polskich i to nie tylko kościelnych. Zamierzam również omówić profile treściowe klasztornych bibliotek interesujących nas zakonów

The linguistic aspects of the elderly people language communication

The main purpose of the herein article is to describe the language and curiosity of the elderly people communication. This article presents basic biological, social and psychological changes occurring together with ageing and their impact on the elderly people linguistic attributions. All enclosed conclusions are supported by professional literature as well as by remarks coming from the field research carried out among people over 60 years old.The main purpose of the herein article is to describe the language and curiosity of the elderly people communication. This article presents basic biological, social and psychological changes occurring together with ageing and their impact on the elderly people linguistic attributions. All enclosed conclusions are supported by professional literature as well as by remarks coming from the field research carried out among people over 60 years old

Migration: Dangers and Opportunities for the Family in the Light of John Paul II’s Messages for World Migrant Day

The phenomenon of migration has become a subject of numerous sociological, economic and political analyses. It has also become an issue of interest for Catholic Social Teaching. The complexity of this subject, its topicality and a need for a diagnosis in the light of ethical and social rules are contained within the consecutive messages for the World Migrant Day by the Holy Father John Paul II. A particularly interesting dimension of the discussion of the phenomenon of migration is the analysis of this problem in terms of its influence on the modern family. John Paul II notices that owing to the dignity of the family and its significant role in the process of upbringing of the young generation, the decision to migrate by members of a family or entire families must be well thought ‑out and carefully considered in the context of a necessity to undertake such steps. The necessity condition is related to a wide array of threats, which a family would have to face if they chose to take the migration path. The Pope also points out that migration is, at the same time, a justifiable opportunity for the development of a family, which should be provided ample assistance by the Church and state in a new environment

On the existence of optimal control for general stochastic equations

In this paper we consider the problem of optimal control for general stochastic differential equation of Itó type. We prove the existence of solutions of this equation under weaker assumptions than in [2]. Moreover, we prove the compactness of the space of solutions and the existence of optimal control