Smale flows on S2×S1\mathbb{S}^2\times\mathbb{S}^1

In this paper, we use abstract Lyapunov graphs as a combinatorial tool to obtain a complete classification of Smale flows on $\mathbb{S}^2\times\mathbb{S}^1$. This classification gives necessary and sufficient conditions that must be satisfied by an abstract Lyapunov graph in order for it to be associated to a Smale flow on $\mathbb{S}^2\times\mathbb{S}^1$

The Impact of Geometry Montessori Education on Students’ Skills and Mindsets

Montessori education has gained recognition due to its long-lasting positive effects on students. However, no studies have targeted its effectiveness on geometry education. This action research project investigated the impact and effectiveness of switching a non-sequential geometry curriculum with the Montessori method and curriculum on students\u27 attitudes and geometrical skills. During six weeks, a population of 16 grade 6 students received weekly lessons that followed the Montessori method and curriculum while their skills were measured and compared against the British Columbia (BC) geometry curriculum. Students were interviewed before and after the intervention to track changes in their learning attitudes. Teacher observations and tracking of student work complemented the data. Results showed that the intervention had an overall positive impact, with a 13% increase in student\u27s confidence in their geometrical skills. Likewise, 93% of students reported having an easier time understanding abstract concepts when previously demonstrated with Montessori materials. Also, 100% reported that geometric concepts became more evident in a curriculum with logically sequenced lessons, and 53% reported increased joy related to geometry learning. In sum, it took students only six weeks of following the Montessori curriculum to master 66% of the BC outcomes for geometry, on average, a percentage that makes sense considering the reduced geometrical content and gaps found in the BC Curriculum during the present work\u27s literature review. Therefore, replacing the BC Curriculum with the Montessori method and curriculum would benefit students. Future similar research focused on larger, possibly younger, populations would further enrich the literature

KNOWLEDGE SHARING AS A MEANS FOR CAPACITY BUILDING IN INTERNATIONAL NON-GOVERNMENTAL ORGANIZATIONS IN ECUADOR

The purpose of this research was to study factors that facilitate technical knowledge sharing internally in international non-governmental organizations (INGOs) in Ecuador. Using a qualitative design, and semi-structured interviews this study examined knowledge sharing practices in four INGOS located in Quito, capital of Ecuador. The findings supported nine factors identified in the literature as influencing knowledge sharing practices. These factors included (1) organizational culture, (2) role in organization, (3) procedures for managing knowledge, (4) perceived value of knowledge sharing, (5) media used for sharing information, (6) management practices, (7) organizational structure, (8) mission and strategy, and (9) organizational climate and motivation. In addition, seventeen new factors emerged in the Ecuadorian context to influence knowledge sharing. All these factors not only support knowledge sharing in INGOs but also increase people’s skills for capacity building so that INGOs can fulfill their missions effectively

Unraveling the potential of non-conventional yeasts in biotechnology.

Cost-effective microbial conversion processes of renewable feedstock into biofuels and biochemicals are of utmost importance for the establishment of a robust bioeconomy. Conventional baker's yeast Saccharomyces cerevisiae, widely employed in biotechnology for decades, lacks many of the desired traits for such bioprocesses like utilization of complex carbon sources or low tolerance towards challenging conditions. Many non-conventional yeasts (NCY) present these capabilities, and they are therefore forecasted to play key roles in future biotechnological production processes. For successful implementation of NCY in biotechnology, several challenges including generation of alternative carbon sources, development of tailored NCY and optimization of the fermentation conditions are crucial for maximizing bioproduct yields and titers. Addressing these challenges requires a multidisciplinary approach that is facilitated through the 'YEAST4BIO' COST action. YEAST4BIO fosters integrative investigations aimed at filling knowledge gaps and excelling research and innovation, which can improve biotechnological conversion processes from renewable resources to mitigate climate change and boost transition towards a circular bioeconomy. In this perspective, the main challenges and research efforts within YEAST4BIO are discussed, highlighting the importance of collaboration and knowledge exchange for progression in this research field

Extra force and extra mass from noncompact Kaluza-Klein theory in a cosmological model

Using the Hamilton-Jacobi formalism, we study extra force and extra mass in a recently introduced noncompact Kaluza-Klein cosmological model. We examine the inertial 4D mass $m_0$ of the inflaton field on a 4D FRW bulk in two examples. We find that $m_0$ has a geometrical origin and antigravitational effects on a non inertial 4D bulk should be a consequence of the motion of the fifth coordinate with respect to the 4D bulk.Comment: final version to be published in EPJ

Missouri River history, floodplain construction, and soil formation in southwestern Iowa

The Platte River has influenced the Missouri River below the mouth of the Platte by contributing sizable suspended and coarser-textured bed loads. Consequently, the Missouri River has been and is a braided stream in a reach about 43 miles long below the mouth of the Platte. In this reach the channel is wider, is less sinuous, has greater low-water slope profile, and contains numerous bars and islands. The Otoe Bend area, in this reach of the Missouri River near the southwestern corner of Iowa, has inherited these channel characteristics. By use of historic maps and aerial photographs, the lateral shifting of the river channel at Otoe Bend may be reconstructed. Adjustments of scale and geographic locations must be made to compare features of all maps and aerial photographs to the present landforms in the area. The older maps usually are not as accurate as present-day cartography with photogrammetric field control. Within the different levels of cartographic accuracy, however, correlation of landforms can be made by similarity of features or similarity of sequences of features