Multiple solutions for a class of bi-nonlocal problems with nonlinear Neumann boundary conditions

In this paper, we are interested in a class of bi-nonlocal problems with nonlinear Neumann boundary conditions and sublinear terms at infinity. Using $(S_+)$ mapping theory and variational methods, we establish the existence of at least two non-trivial weak solutions for the problem provied that the parameters are large enough. Our result complements and improves some previous ones for the superlinear case when the Ambrosetti-Rabinowitz type conditions are imposed on the nonlinearities.

A Schwarz lemma for hyperbolic harmonic mappings in the unit ball

Assume that $p\in [1,\infty ]$ and $u=P_{h}[\phi ]$, where $\phi \in L^{p}(\mathbb{S}^{n-1},\mathbb{R}^n)$ and $u(0) = 0$. Then we obtain the sharp inequality $\lvert u(x) \rvert \le G_p(\lvert x \rvert )\lVert \phi \rVert_{L^{p}}$ for some smooth function $G_p$ vanishing at $0$. Moreover, we obtain an explicit form of the sharp constant $C_p$ in the inequality $\lVert Du(0)\rVert \le C_p\lVert \phi \rVert \le C_p\lVert \phi \rVert_{L^{p}}$. These two results generalize and extend some known results from the harmonic mapping theory (D. Kalaj, Complex Anal. Oper. Theory 12 (2018), 545–554, Theorem 2.1) and the hyperbolic harmonic theory (B. Burgeth, Manuscripta Math. 77 (1992), 283–291, Theorem 1).

PEMETAAN POTENSI WAKAF PRODUKTIF DI KOTA PEKANBARU

This research is motivated by the lack of full implementation of productive endowments in Pekanbaru and the lack of management of productive waqf in Pekanbaru. The purpose of this study was to determine and analyze Productive Waqf Mapping in Pekanbaru. The theoretical framework used is Mapping theory with indicators of data collection stages, data presentation stages, and data use settings. The research method used is descriptive qualitative with data collection techniques using observation, interviews, documentation, literature study. The sample used is the saturated sample, the agency responsible for Productive mapping Waqf. This study indicates that Productive Waqf in Pekanbaru City has not been appropriately implemented due to the lack of people in productive earning and government participation to further optimize the empowerment of Waqf in Pekanbaru City in general. As for the Constraints and Obstacles of the Ministry of Religion in the process of Supervising Institution of Waqf in Pekanbaru City are: firstly, the lack of socialization budget for Productive Waqf, Secondly the Lack of Human Resources in managing Productive Waqf, Third Communities still think consumptive to be representative, fourth which became a reference in the city of Pekanbaru.

A decolonial museology word cloud

A decolonial museology word cloud. (The list of terms is suggestive rather than exhaustive). Image by Erica Lehrer, ‘Decolonizing Museum Cultures and Collections: Mapping Theory and Practice in East-Central Europe,’ keynote address, 21 October 2020.

A decolonial museology word cloud

A decolonial museology word cloud. (The list of terms is suggestive rather than exhaustive). Image by Erica Lehrer, ‘Decolonizing Museum Cultures and Collections: Mapping Theory and Practice in East-Central Europe,’ keynote address, 21 October 2020.

New Stability Criterion for Fractional-Order Quaternion-Valued Neural Networks Involving Discrete and Leakage Delays

In the current work, we are devoted to the issue of uniform stability of fractional-order quaternion-valued neural networks involving discrete and leakage delays. Making use of the contracting mapping theory, we prove that the equilibrium point of the involved fractional-order quaternion-valued neural networks exists and is unique. Taking advantage of mathematical analysis strategy, a sufficient criterion involving delay to verify the global uniform stability for the considered fractional-order quaternion-valued neural networks is set up. Computer simulation figures are displayed to sustain the rationality of the established conclusions. This study generalizes and supplements the research of Xiu et al. (2020).

Concept Maps as a Technique for Organizing, Analyzing, and Transforming Knowledge

The chapter begins with the origins of concept maps as a tool to promote constructivist learning, an educational philosophy and practice, and is followed by a concept map taxonomy. A definition of concept maps is provided and the main differences between Mind Maps©, Thinking Maps®, and Concept Maps are discussed with Thinking Maps classified as a type of concept map that is separate and different from both other maps. The chapter then offers a second definition of the term “concept maps,” with a detailed discussion of Thinking Maps resulting in a new taxonomy of knowledge or concept maps. The authors then investigate integrating concept maps with cognitive styles theory to determine if concept mapping might have a neuro-psychological basis and if mapping theory can be related to different academic fields and professions. The chapter concludes that the use of concept mapping can promote more holistic and effective teaching, learning, and practice in STEM education.

Be Prepared! How Pre-lab Modules Affect Students’ Understanding of Gene Mapping

Lab activities are characteristic of life science education. In the current study, we investigate whether pre-lab modules can improve students’ understanding of the theories and experimental procedures associated with lab activities. Such effects were studied in context of an expository lab on gene mapping in biology undergraduate education. An experimental group of 126 students had access to an online pre-lab module to prepare for the lab activity; a control group of 90 students did not have access to this pre-lab module. The data revealed that students who studied the pre-lab module had a better understanding of the gene mapping theory, at the onset of the class, when compared with the control group. Additionally, these students appeared to ask fewer questions on what needed to be done in the lab, suggesting more awareness of the experimental procedure. Further, students who studied the online pre-lab module showed greater understanding of the theory in their lab reports. These findings suggest that students’ understanding of background theory and its relation to practice can readily be improved by enriching existing expository labs with pre-lab modules that contain information and questions on the complex conceptual information relevant to the lab experiment.

Searching Through Silos

As participatory mapping evolves encompassing new technologies and incorporating new terminology to describe varying approaches, it is important to examine whether all practitioners of participatory mapping belong to the same community of practice guided by shared principles. The researchers explore the narrative of participatory mapping as a coherent, unified discipline. They do this by assessing the landscape of the literature on participatory mapping practices across two scholarly search platforms – Google Scholar and Web of Science. In each platform, they searched the same terms that are commonly associated with participatory mapping. The researchers' findings suggest participatory mapping lacks coherence as a unified method. They note a lack of overlap in top cited publications, indicating that what counts as legitimate knowledge regarding participatory mapping and its practice differs depending on the platform. Implications for participatory mapping theory and practice are discussed.