Longitudinal Chemical Gradients and the Functional Responses of Nutrients, Organic Matter, and Other Parameters to the Land Use Pattern and Monsoon Intensity

River water quality degradation is one of the hottest environmental issues worldwide. Therefore, monitoring water quality longitudinally and temporally is crucial for effective water management and contamination control. The main aim of this study was to assess the longitudinal variations in water quality in the mainstream of the Han River, Korea, from 2015 to 2019. The trophic state classification (TSC), microbial pollution indicator (MPI), and river pollution index (RPI) were calculated to characterize river water quality and revealed more serious pollution toward the downstream zone (Dz) due to agricultural and urban-dominated areas. The biodegradability index (BI) indicated that non-biodegradable organic pollutants are increasing in the water body from the urban and animal wastewater treatment plants. Nutrients, organic matter contents, total suspended solids, ionic factors, and algal chlorophyll were higher in the Dz than in any other zones and were markedly influenced by the summer monsoon. Empirical analysis showed that nutrients and organic matter had positive linear functional relations with agricultural and urban coverage and negative linear relations with forest coverage. The pollutant-transport function suggested that suspended solids act as TP and TN carriers. Regression analysis indicated that TP (R2 = 0.47) has more positive functional relations with algal growth than TN (R2 = 0.22). Our findings suggest that a combination of empirical models and pollution indices might be utilized to assess river water quality and that the resulting information could aid policymakers in managing the Han River.

Examination of the Use of Sculpture in the Open-Green Areas of Selçuk University Alaeddin Keykubat Campus

The sculpture, which is the expression of beliefs and fears in prehistoric times, has taken on different roles as an urban reinforcement element in all cultures with numerous themes. In the Middle Ages, it became an organic part of the architectural structure, teaching the truth about religious beliefs. With the Renaissance movement, it became independent by breaking away from the architectural structure and moved to the urban space. In the twenty-first century, its dimensions have grown to be equivalent to architecture, it has created its own space and established new aesthetic and functional relations with the audience. In this study, the relationship of some sculptures on the Alaeddin Keykubat campus of Selcuk University with the landscape elements was examined in terms of design elements and basic design principles. In the light of the data obtained, suggestions have been developed in order to increase the life and aesthetic quality of the campus.

Generalized Householder Transformations

The Householder transformation, allowing a rewrite of probabilities into expectations of dichotomic observables, is generalized in terms of its spectral decomposition. Dichotomy is modulated by allowing more than one negative eigenvalues, or by abandoning it altogether, yielding generalized operator valued arguments for contextuality. We also discuss a form of state-dependent contextuality by variation of the functional relations of the operators; in particular, by additivity.

On the solvability of a semi-periodic boundary value problem for the nonlinear Goursat equation

In this paper, by means of a change of variables, a nonlinear semi-periodic boundary value problem for the Goursat equation is reduced to a linear gravity problem for hyperbolic equations. Reintroducing a new function, the obtained problem is reduced to a family of boundary value problems for ordinary differential equations and functional relations. When solving a family of boundary value problems for ordinary differential equations, the parameterization method is used. The application of this approach made it possible to establish the coefficients of the unique solvability of the semi-periodic problem for the Goursat equation and to propose constructive algorithms for finding an approximate solution.

Efficacy of Paraeducators Facilitating Peer Support Arrangements for Elementary Students With Multiple Disabilities

Previous findings demonstrate peer support arrangements improve academic and social outcomes for secondary students with severe disabilities, but further research is needed to determine (a) the degree to which this practice would benefit younger students, (b) the impact on student independence, and (c) how teachers can best support paraeducator implementation. In this multiple-probe-across-participants design study, a teacher trained five paraeducators to facilitate peer support arrangements with four elementary students with multiple disabilities who were eligible for alternate assessment. We identified functional relations between teacher training and paraeducator implementation and between peer support arrangements and peer interactions. Interactions increased to levels similar to those of peers without disabilities. Students decreased their reliance on paraeducators for classroom routines when peers provided support. These findings show that the effectiveness of peer support arrangements extends to elementary students with multiple disabilities and replicate initial evidence for a promising model of teacher-implemented training for paraeducators.

Clean Single-Valued Polylogarithms

We define a variant of real-analytic polylogarithms that are single-valued and that satisfy ''clean'' functional relations that do not involve any products of lower weight functions. We discuss the basic properties of these functions and, for depths one and two, we present some explicit formulas and results. We also give explicit formulas for the single-valued and clean single-valued version attached to the Nielsen polylogarithms Sn,2(x), and we show how the clean single-valued functions give new evaluations of multiple polylogarithms at certain algebraic points.

Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function

The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function. Some functional relations, summation relations, integral representations, linear transformation formulas, and derivative formulas for these extended functions are derived. We also introduce the logarithmic convexity and some important inequalities for extended beta function.

Applying the Transtheoretical Model to Stuttering Management Among Adolescents: Part II. Exploratory Scale Validation

Purpose This article is the second in a two-part series on the application of the Transtheoretical Model to stuttering management among adolescents. The purpose of this article was to apply and explore the validity of newly developed Transtheoretical measures for adolescents who stutter. Method The online survey was completed by a national sample of 173 adolescents who stutter between the ages of 13 and 21 years. The multipart survey included a Stage of Change scale, Decisional Balance scale, and Situational Self-Efficacy scale. Participants also completed the Overall Assessment of the Speaker's Experience of Stuttering (OASES), either the teenage or adult version depending on the participant's age, so preliminary construct validity of the new scales could be examined. Exploratory factor analyses were conducted to determine model fit and reduce the scales to the most meaningful items. External validity of the three-part survey was examined by comparing OASES scores across stage of change as well as evaluating the functional relations between the three scales. Results Adolescents' readiness to manage stuttering could be clearly described with five discrete stages, although most of the respondents reported being in the Maintenance stage. The pros of managing stuttering reliably predicted stage placement. Internal consistency of the scales ranged from good to excellent. OASES scores differed across stages of readiness in complex but predictable ways. Conclusions These findings suggest that the Transtheoretical Model fits the target behaviors involved stuttering management among adolescents. Further examination of the application of the model to validate a stage-based framework for change among individuals who stutter is warranted.

Cross-country Spatial Patterns in Terms of Human Development Indices

The present study attempts to answer the question, which is not considered in the United Nations’ annual Human Development Reports, namely, how spatial patterns of the world countries differ in terms of human development indices. The quantitative research includes three phases. First, functional relations between indices were analysed based on Moran’s I and data fitted by linear regression. Second, clustering of the world countries by human development indices revealed seven spatial clusters. Third, the countries were classified by the types of significant human development problems. The classification distinguished various types of countries: prosperous, problematic and problematic in certain areas. Correlation and spatial dependence analysis demonstrated an important relationship between education and child indicators, in particular, years of education and life expectancy. As a result, the territorial concentration of countries with similar human development was noticed. According to all four groups of indices, 51 prosperous countries (the majority of which are members of the Organisation for Economic Co-operation and Development (OECD)) are characterised by the lack of serious problems. The group of problematic countries includes 51 territories mostly located in sub-Saharan Africa, as well as in Asia, Latin America and Oceania. The findings on relative similarity observed in the identified clusters and groups can be used for developing standard solutions to improve human development. Further research in this direction seems promising.

About the systematic approach in criminal law

The systematic approach is used in various branches of knowledge, including in the humanities. The science of criminal law is no exception. The article analyzes the content of the main concepts of the system approach, such as «system», «element», etc. The method of system-structural analysis is applied to Russian criminal law, which is considered as an organic system, the general properties of which are disproportionately greater than just the sum of the properties of its constituent elements. Specific connections and dependencies are shown that characterize the organic connections of criminal law as a phenomenon as a whole with its constituent elements, as well as the connections of its constituent elements with each other. It is determined that the criminal law norms, as the primary elements of criminal law as an organic system, characterize the synthetic type of structural connection. It is stated that criminal law is characterized by a hierarchical (vertical) type of structural connection. It is noted that the external (functional) relations of criminal law should be considered from the point of view of mutual influence: how this influence is carried out from the side of criminal law and from the side of another phenomenon. Promising areas of application of a systematic approach in criminal law are indicated.