Invariant Submanifolds of Generalized Sasakian-Space-Forms

The object of this paper is to study the invariant submanifolds of generalized Sasakian-space-forms. Here, we obtain some equivalent conditions for an invariant submanifold of a generalized Sasakian-space-forms to be totally geodesic.Comment: 11 page

Promoting Safe Spaces: Creating Inclusive Educational Environments for Transgender Students

The goal is to create a unified education system that values all children, regardless of their caste, class, gender, sexualities, race, community backgrounds, ethnic backgrounds and abilities. The movement towards integrating children with disabilities into the regular classrooms started in the second half of the twentieth century. However, transgender students still face discrimination due to their gender and sexual identities. The Right to Education Act, 2009 guarantees universal education for all, and the Constitution of India mandates an inclusive society for all, including transgender persons. In recent years, the perception of the society towards transgender persons has changed, and transgender persons can lead a better quality of life if they have equal opportunities and access to social development services. Inclusive classrooms are important for trans, non-binary and Two-Spirit students, as they foster essential learning outcomes such as critical thinking and effective group work skills. This article will throw light on the identification of transgender students in schools, students are managing conflict situations in the schools, ensuring safety and security of transgender students in schools and some suggestive practices for teachers and school administrators

Recovery of Fillers from Paper Mill High Ash Sludge by Froth Flotation

The purpose of this project was to recover filler materials (most of which are clay) from the paper mill primary clarifier high and sludge utilizing froth flotation. Initial attempts to determine the dosage of a water soluble cationic surfactant EHDA-Br did not prove successful. It was discarded, an a partially water soluble cationic surfactant was taken up next. With a dosage of 0.75% (based on suspended solids) and an air flow rate of 1.5 - 1.75 1/min. it was possible to increase the ash content over 68% (minimum 66.5%, maximum 69.5%) in the foam fraction after single stage flotation, compared to 51.67% in the original sludge. A maximum filler recovery of 92.8% was also achieved. To achieve these results trails were made over all the pH values from 2 to 12. The ash content (curve) of the sludge was found to be (practically) insensitive to pH variation. When the sludge was treated in a ball mill, with ion exchange resin and sodium hexametaphosphate it was found to be sensitive to pH variation. Only ball milling increased the ash content to 71.6% (filler recovery 91.22%) at pH 3. The treated sludge was of course floated at three pH values 3, 6.5 and 9, and not over all pH values

On quasi-conformally flat and quasi-conformally semisymmetric generalized Sasakian-space-forms.

The object of the present paper is to study quasi- conformally �flat and quasi-conformally semisymmetric generalized Sasakian-space-form

Museum visit intervention in K-12 education: a scoping review

This scoping review aims to provide an overview of empirical studies on worldwide museum visit intervention in K-12 education. The study employed Mendeley citation software to identify the articles in the database. A meta-analysis PRISMA statement is used for reporting the items. Out of 135 possibly rich articles, the present study reviewed 18 studies that met the inclusion criteria and were subjected to descriptive and content analyses published between 2017 and 2021. Most of the studies are experimental and from primary school contexts. It is revealed that science is the subject matter context majority of the studies, but philosophy, disaster management, language, and environmental science are also represented. The content analysis resulted in the following learning and social outcomes. It states that social outcome is explored chiefly, followed by learning outcome. The findings indicate that museum visit intervention positively impacts students learning and social outcome. The review also identifies the need for further research on museum visit intervention in the Asia Pacific region

Online cooperative learning: exploring perspectives of preservice teachers after the pandemic

Mainly, research has explored pre-service teachers’ perspectives toward cooperative learning within face-to-face teaching. However, in a postpandemic scenario, previous research has yet to effectively explore preservice teachers’ (PSTs) perspectives toward online cooperative learning (OCL) in teacher education programs. So, recognizing the gap in the literature, this paper aims to explore the perspectives of PSTs towards OCL. The researchers employed a qualitative research design for the present study. The researchers conducted semi-structured interviews with 10 PSTs who underwent OCL during the pandemic. These PSTs may possess digital proficiency, virtual collaboration abilities, flexibility in evolving educational environments, and an enhanced understanding of online cooperative learning methodologies within modern education. Researchers employed a thematic analysis to analyze the qualitative data obtained. The various themes that emerged from the study are perceived benefits of OCL, challenges to OCL, technological proficiency, learning strategies and support, and building a supportive online learning community. Future researchers may contribute to advancing effective online learning practices by gaining a deeper understanding of pre-service teachers’ perspectives towards OCL through research on a larger scale, including various teacher education programs in various countries

On (N(k),ξ)-semi-Riemannian 3-manifolds.

The object of the present paper is to study 3-dimensional (N(k), ξ)-semiRiemannian manifolds. We study (N(k), ξ)-semi-Riemannian 3-manifolds which are Ricci-semi-symmetric, locally ϕ-symmetric and have η-parallel Ricci tensor

Exponential fraction index of certain graphs

Topological indices play a great role in Mathematical chemistry. Many graph theorists as well as chemists attracted towards these molecular descriptors. The aim of this paper is to introduce and investigate the Exponential Fraction index (a degree based Topological index). It is defined as follows. EF(G) = Σ uv∈E(G) edu/dv . Here du and dv are the maximum and minimum degree respectively. In this paper, we calculate the Exponential Fraction index of double graphs, subdivision graphs and complements of some standard graphs. Also we compute the index for chemical structures Graphene and Carbon nanocones.Publisher's Versio