Psychodiagnostic evaluation of parental position in settlement of legal disputes on child upbringing in the course of forensic psychological examination

This article explores the crucial points associated with the objective assessment of parental position in the process of forensic psychological examination. The subject of this research is the specificity of parental position in the situation of forensic psychological expert study. The object is the parents in the situation of forensic psychological examination. The author describes the main capabilities of psychological diagnostics of parental position in the expert practice. The article analyzes the data acquired from psychometric surveys carried out among 46 parents/custodians involved in forensic psychological examination on civil cases related to disputes over child upbringing. The study employs the psychometric surveys for evaluation of child-parent relations (“The Analysis of Family Relationship” and “Child-Parent Interaction”). Based on the array of expert material, the author carries out statistical analysis of the data acquired via tested psychometric methods aimed at the assessment of parental position. The obtained correlation between the scales of psychometric surveys, the author highlights the most significant diagnostic criteria give an integral estimate of parental position. The novelty of this work consists in determination of diagnostic parameters that verify the key criteria of parental position in the course of forensic psychological examination: adequacy, predictivity, flexibility. The acquired materials contribute to objectification of conclusions of the psychologist in complicated expert situations on settling the issues related to child upbringing.

Liouville type theorems for stable solutions of elliptic system involving the Grushin operator

<p style='text-indent:20px;'>We examine the following degenerate elliptic system:</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ -\Delta_{s} u \! = \! v^p, \quad -\Delta_{s} v\! = \! u^\theta, \;\; u, v&gt;0 \;\;\mbox{in }\; \mathbb{R}^N = \mathbb{R}^{N_1}\times \mathbb{R}^{N_2}, \quad\mbox{where}\;\; s \geq 0\;\; \mbox{and} \;\;p, \theta \!&gt;\!0. $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>We prove that the system has no stable solution provided <inline-formula><tex-math id="M1">\begin{document}$ p, \theta &gt;0 $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M2">\begin{document}$ N_s: = N_1+(1+s)N_2&lt; 2 + \alpha + \beta, $\end{document}</tex-math></inline-formula> where</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE2"> \begin{document}$ \alpha = \frac{2(p+1)}{p\theta - 1} \quad\mbox{and} \quad \beta = \frac{2(\theta +1)}{p\theta - 1}. $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>This result is an extension of some results in [<xref ref-type="bibr" rid="b15">15</xref>]. In particular, we establish a new integral estimate for <inline-formula><tex-math id="M3">\begin{document}$ u $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M4">\begin{document}$ v $\end{document}</tex-math></inline-formula> (see Proposition 1.1), which is crucial to deal with the case <inline-formula><tex-math id="M5">\begin{document}$ 0 &lt; p &lt; 1. $\end{document}</tex-math></inline-formula></p>

Theoretical background of estimation methodology for intellectual property objects investment attractiveness

Technology transfer efficiency directly depends on the rate of intellectual property objects attractiveness. These objects involved in this process are selected by the technology user. Investment attractiveness of these objects is the only one that possess emergence property. It allows to compare different objects via same criteria. Theoretical groundings of investment attractiveness integral estimate are developed in this proceeding. The methodology is based on system analysis and decision-making theory. Namely it includes single-step decision-making task with vector efficiency index. Intellectual property objects estimation with indexes is taking into account. It is proven that experts’ individual preferences systems on the defined set of criteria determine experts’ “tastes”. They are considered as pattern masks for correspondent proper conclusion. Statistically agreed group preferences system demonstrates experts’ generalized opinion and should be used as a base for final conclusion about efficiency of intellectual property estimation indexes significance. Expression rate of these indexes has qualitative linguistic type. It is the same as for their ranks in the preferences systems. Thus they might be subjected to defuzzification procedure by significance coefficients application. This task is simply completed with priority arrangement method implementation. Multiplicative approach to the partial efficiency significance estimates aggregation is described. It provides integral estimate that characterizes single efficiency index and allows further indexes aggregation into single parameter. It determines attractiveness of intellectual property object and supports avoidance of mistakes of I and II type. Integral innovative intellectual property object attractiveness estimates are subjected to the normal distribution law. As an example the criteria of fuzzification implementation for multiple estimates are developed. This provides qualitative-quantitative research of considered objects.

Design formulae of product design production manufacturability

There are shown basic drawbacks of the well-known factors of manufacturability. The formulae of manufacturability factors excluding mentioned drawbacks and taking into account the impact of product design characteristics upon complete laboriousness of its manufacturing are offered. The developed formulae of these manufacturability factors give possibility for obtaining an integral estimate of manufacturability by means of their summation.

Games with fuzzy payment matrix

We consider a method for solving an antagonistic game with a fuzzy payment matrix based on converting fuzzy estimates of the consequences of possible strategies into an integral estimate in the form of an equivalent fuzzy set with a triangular membership function. The method does not impose restrictions on the type of membership functions for fuzzy elements of the payment.

LYAPUNOV INEQUALITY FOR AN EQUATION WITH FRACTIONAL DERIVATIVES WITH DIFFERENT ORIGINS

В работе рассмотрено обыкновенное дифференциальное уравнение дробного порядка, содержащее композицию дробных производных с различными началами, являющееся модельным уравнением движения во фрактальной среде. Для рассматриваемого уравнения найдено необходимое условие существования нетривиального решения однородной задачи Дирихле. Условие имеет форму интегральной оценки для потенциала и является аналогом неравенства Ляпунова We consider an ordinary differential equation of fractional order with the composition of left and rightsided fractional derivatives, which is a model equation of motion in fractal media. We find a necessary condition for existence of nontrivial solution of homogeneous Dirichlet problem for the equation under consideration. The condition has the form of integral estimate for the potential and is an analog of Lyapunov inequality.