On periodic and stable solutions of the Lasota equation in different phase spaces

We study properties of the Lasota partial differential equation in two different spaces: $V_{\alpha}$ (Hölder continuous functions) and $L^p$. The aim of this paper is to generalize the results of [Z. Brzeźniak, A. L. Dawidowicz, On the periodic solution to the von Foerster-Lasota equation, to appear in Semigroup Forum]

A convenient ready-to-use algorithm for a conditional quantile estimator

Abstract: This paper contains a complete procedure for calculating the value of a conditional quantile estimator. The concept is based on the nonparametric kernel estimator method, which frees the algorithm from the random variables ’ distributions. The procedure was worked out in a ready-to-use form – specific formulas for functions and the parameter used were given. The practical implementation of this method is very simple, and its computational complexity is linear with respect to random sample size as well as the dimension of conditioning variable. Thanks to a clear, near intuitive interpretation it can easily be modified or generalized depending on the individual needs of atypical applications. In particular, conditioning variables can be taken into account, not only continuous (real), but also binary, discrete and categorized, or any of their combinations

Land Administration Systems Development Trends – A Case Study

Land management is aimed at generating optimal social, economic and environmental benefits while promoting sustainable development principles. An essential element of this process is the knowledge of the geospatial situation to support public decision-making at different levels: local, regional, national and global. Hence, there is a need for rapid access to complete and updated information about the physical characteristics of a property, rights, restrictions, responsibilities and interrelations. This information is provided by land administration systems (LAS). LAS are built and maintained by governments. The core of LAS is a multi-purpose cadastral system integrated with other spatial information systems and public registers. In this paper, the authors present the functional architecture and the assumptions of land administration systems built in Poland and Germany. The analysis results show the specificity of the systems' design in relation to socio-economic condition

A simplified protocol for detecting two systemic bait markers (Rhodamine B and iophenoxic acid) in small mammals

We developed a method of quantifying levels of fluorescence in the whiskers of wild stoats (Mustela erminea) using fluorescence microscopy and Axiovision 3.0.6.1 software. The method allows for discrimination between natural fluorescence present in or on a whisker, and the fluorescence resulting from the ingestion of the systemic marker Rhodamine B (RB), although some visual judgement is still required. We also developed a new high performance liquid chromatography (HPLC) protocol for detecting the systemic marker iophenoxic acid (IPA) in the blood of laboratory rats (Rattus norvegicus) and wild stoats. With this method, the blood of an animal that has consumed IPA can be tested for the presence of the foreign IPA compound itself. This is a more reliable test than the previous method, which measured the raised level of natural blood protein-bound iodine correlated with IPA absorption. The quantity of blood required from animal subjects is very small (10 μl), so the testing is less intrusive and the method can be extended to smaller species. The extraction technique uses methanol, rather than acids and heavy metal salts, thereby simplifying the procedure. Recovery of IPA is quantitative, giving a highly reliable reading. In experiments on captive rats the IPA method proved successful. Of 12 positively marked carcasses, two that had not been frozen for the 24 h before blood samples were taken showed relatively lower IPA levels. The same IPA detection method, as well as the whisker analysis for RB, was applied successfully to a population of wild stoats to which both Rhodamine B and IPA were made available at bait stations. The presence of both bait markers was detectable in rats for at least 21 days and in stoats for at least 27 days

With Scholarship & Practice in Mind: The Case Study as Research Method

Unlike theoretical scholars who seek knowledge to expand humanity’s (or their) understanding of a topic, scholar practitioners seek knowledge that can be applied to understand change or create change in a specific phenomenon. Although many of the same research methods can be used by both groups of educational scholars, and although research designs are determined in large part by the research questions being asked, several research methods can prove most useful for scholar practitioners examining learning environments. One, the case study, stands out as perhaps the most versatile and researcher-friendly, though. A case study, bounded by specific location and topic parameters, can allow solid evaluation of the workings of a program or teaching method. It can also allow consideration of specific needs to address an educational situation. This article briefly discusses the nature and purpose of different types of research, then focuses on the nature and usefulness of the case study methodology

On chaos behaviour of nonlinear Lasota equation in Lebesgue space

We concern the asymptotic behaviour of the dynamical systems induced by nonlinear Lasota equation. We study chaoticity in the sense of Devaney and strong stability of the system. In many articles authors consider the properties of the linear version of the equation. By the construction of the operator in the separable space, we can formulate the relations between the solutions of the linear equation and its nonlinear version in Lebesgue space. The aim of the paper is to present the detailed construction of the operator thanks to which, the study of simple relationships allows determining the chaotic behaviour of the nonlinear equation

Composition and antioxidant activity of thymus vulgaris volatiles: comparison between supercritical fluid extraction and hydrodistillation

Supercritical fluid extraction (SEE) of the volatile oil from Thymus vulgaris L. aerial flowering parts was performed under different conditions of pressure, temperature, mean particle size and CO2 flow rate and the correspondent yield and composition were compared with those of the essential oil isolated by hydrodistillation (HD). Both the oils were analyzed by GC and GC-MS and 52 components were identified. The main volatile components obtained were p-cymene (10.0-42.6% for SFE and 28.9-34.8% for HD), gamma-terpinene (0.8-6.9% for SFE and 5.1-7.0% for HD), linalool (2.3-5.3% for SFE and 2.8-3.1% for HD), thymol (19.5-40.8% for SFE and 35.4-41.6% for HD), and carvacrol (1.4-3.1% for SFE and 2.6-3.1% for HD). The main difference was found to be the relative percentage of thymoquinone (not found in the essential oil) and carvacryl methyl ether (1.0-1.2% for HD versus t-0.4 for SFE) which can explain the higher antioxidant activity, assessed by Rancimat test, of the SFE volatiles when compared with HD. Thymoquinone is considered a strong antioxidant compound

Customer Satisfaction in the Field of Comprehensive Service of Refrigerated Containers in Seaports

The article analyzes the issues concerning customer satisfaction survey with the complexity of handling refrigerated containers at the seaports' container terminals. It aims to determine the criteria to evaluate the port comprehensive service and to examine the opinion of chosen seaports terminals on customer satisfaction with the complexity of handling refrigerated containers. Evaluation criteria of comprehensive service of refrigerated containers in seaports were identified and examined. The analysis of ports opinions on customer satisfaction with the service of refrigerated containers was based on surveys, which covered 5 container terminals located in the Polish cities of Gdansk, Gdynia and Szczecin. The research revealed that according to the ports, complex service primarily affects the high-level customer satisfaction and shorter service time, while implementation of this service regards a good level of customer service and price