Equality of multiplicity free skew characters

In this paper we show that two skew diagrams lambda/mu and alpha/beta can represent the same multiplicity free skew character [lambda/mu]=[alpha/beta] only in the the trivial cases when lambda/mu and alpha/beta are the same up to translation or rotation or if lambda=alpha is a staircase partition lambda=(l,l-1,...,2,1) and lambda/mu and alpha/beta are conjugate of each other.Comment: 16 pages, changes from v1 to v2: corrected the proof of Theorem 3.5 and some typos, changes from v2 to v3: minor layout change, enumeration changed, to appear in J. Algebraic Combi

On principal hook length partitions and durfee sizes in skew characters

In this paper we construct for a given arbitrary skew diagram A all partitions nu with maximal principal hook lengths among all partitions with the character [nu] appearing in the skew character [A]. Furthermore we show that these are also partitions with minimal Durfee size. This we use to give the maximal Durfee size for [nu] appearing in [A] for the cases when A decays into two partitions and for some special cases of A. Also this gives conditions for two skew diagrams to represent the same skew character.Comment: 13 pages, minor changes from v1 to v2 as suggested by the referee, to appear in Annals. Com

Isochoric thermal conductivity of solid nitrogen

The isochoric thermal conductivity of solid nitrogen has been investigated on four samples of different densities in the temperature interval from 20 K to the onset of melting. In alfa-N2 the isochoric thermal conductivity exhibits a dependence weaker than 1/T; in beta-N2 it increases slightly with temperature. The experimental results are discussed within a model in which the heat is transported by low-frequency phonons or by "diffusive" modes above the mobility boundary. The growth of the thermal conductivity in beta-N2 is attributed to the decreasing "rotational" component of the total thermal resistance, which occurs as the rotational correlations between the neighboring molecules become weaker.Comment: Postscript 12 pages, 3 figures, 1 table. To be published in 200

Study on a conceptual model for campus transformation of classical universities in the digital era

This article presents a conceptual management model of campus space 4.0 (CS4.0), in which CS4.0 is viewed as a condition for the transformation of classical universities in the digital era. To create this model, we used the systems approach as well as complexity theory, focusing on the ontological, spatial, axiological, social, psychological, and management aspects. The model not only defines the systems status of CS4.0 and describes the three types of properties inherent in CS4.0. This model also explains why, in the digital era, CS4.0 can become the agent of change for a classical university that has had a long history. This model of CS4.0 will not destroy the university’s cultural identity and academic values; rather, it will serve the interests of all groups within the university community. This conceptual model can be the key to understanding one of the possible management strategies for the development of the classical university in the digital network society at the beginning of the Fourth Industrial Revolution

Remote Sensing of Explosives-Induced Stress in Plants: Hyperspectral Imaging Analysis for Remote Detection of Unexploded Threats

Explosives contaminate millions of hectares from various sources (partial detonations, improper storage, and release from production and transport) that can be life-threatening, e.g., landmines and unexploded ordnance. Exposure to and uptake of explosives can also negatively impact plant health, and these factors can be can be remotely sensed. Stress induction was remotely sensed via a whole-plant hyperspectral imaging system as two genotypes of Zea mays, a drought-susceptible hybrid and a drought-tolerant hybrid, and a forage Sorghum bicolor were grown in a greenhouse with one control group, one group maintained at 60% soil field capacity, and a third exposed to 250 mg kg-1 Royal Demolition Explosive (RDX). Green-Red Vegetation Index (GRVI), Photochemical Reflectance Index (PRI), Modified Red Edge Simple Ratio (MRESR), and Vogelmann Red Edge Index 1 (VREI1) were reduced due to presence of explosives. Principal component analyses of reflectance indices separated plants exposed to RDX from control and drought plants. Reflectance of Z. mays hybrids was increased from RDX in green and red wavelengths, while reduced in near-infrared wavelengths. Drought Z. mays reflectance was lower in green, red, and NIR regions. S. bicolor grown with RDX reflected more in green, red, and NIR wavelengths. The spectra and their derivatives will be beneficial for developing explosive-specific indices to accurately identify plants in contaminated soil. This study is the first to demonstrate potential to delineate subsurface explosives over large areas using remote sensing of vegetation with aerial-based hyperspectral systems

Решение конфликтов делового общения в условиях гендерного неравенства

В статті проаналізовано прояви гендерної нерівності в сучасному суспільстві та визначено причини гендерних конфліктів. Проаналізовано соціально-психологічні витоки гендерної нерівності у діловому спілкуванні. Виявлено гендерні стереотипи в свідомості суспільства, що є першопричинами виникнення гендерних конфліктів. Проведено аналіз стратегій поведінки у конфліктних ситуаціях. Запропоновано шляхи подолання гендерної нерівності, виходячи з причин її виникнення та розвитку. In the article is analysed displays of gendernoy inequality in modern society and certainly reasons of gendernikh conflicts. The socialpsychological sources of gendernoy inequality are analysed in business intercourse. Found out genderni stereotypes in consciousness of society which is primary causes of origin of gendernikh conflicts. The analysis of strategies of conduct is conducted in conflict situations. The ways of overcoming of gendernoy inequality are offered, coming from reasons of its origin and development. В статье проанализированы проявления гендерного неравенства в современном обществе и определенно причины гендерных конфликтов. Проанализированы социальнопсихологические истоки гендерного неравенства в деловом общении. Обнаружены гендерные стереотипы в сознании общества, которое является первопричинами возникновения гендерных конфликтов. Проведен анализ стратегий поведения в конфликтных ситуациях. Предложены пути преодоления гендерного неравенства, исходя из причин ее возникновения и развития

Features levying direct taxes in Ukraine

Статтю присвячено питанням сутності прямого оподаткування. Досліджено сучасну роль прямих податків у загальній структурі податкових надходжень, як основних наповнювачів дохідної частини бюджету. Розглянуто структуру прямих податків, проблеми, які виникають під час адміністрування податків та запропоновано можливі напрямки вирішення даного питання. Article deals with the essence of direct taxation. The modern role of direct taxes in total tax revenue as a main filler of budget revenues. The structure of direct taxes, the problems that arise during the administration of taxes and suggests possible directions for addressing this issue

Grand canonical partition functions for multi level para Fermi systems of any order

A general formula for the grand canonical partition function for a para Fermi system of any order and of any number of levels is derived.Comment: 9 pages, latex, no figure

Mars climate engineering using orbiting solar reflectors

The manned mission is seen as a first step towards a Mars surface exploration base-station and, later, establishing permanent settlement. The location and use of Mars's natural resources is vital to enable cost-effective long-duration human exploration and exploitation missions as well as subsequent human colonization. Planet resources include various crust-lodged materials, a low-pressure natural atmosphere, assorted forms of utilizable energy, lower gravity than Earth's, and ground placement advantages relative to human operability and living standards. Power resources may include using solar and wind energy, importation of nuclear reactors and the harvesting of geothermal potential. In fact, a new branch of human civilization could be established permanently on Mars in the next century. But, meantime, an inventory and proper social assessment of Mars's prospective energy and material resources is required. This book investigates the possibilities and limitations of various systems supplying manned bases on Mars with energy and other vital resources. The book collects together recent proposals and innovative options and solutions. It is a useful source of condensed information for specialists involved in current and impending Mars-related activities and a good starting point for young researchers