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Análisis de las conexiones matemáticas en la enseñanza y aprendizaje de la derivada basado en un networking of theories entre la Teoría de las conexiones y el Enfoque ontosemiótico.

CAMILO ANDRES RODRIGUEZ NIETO (2021, [Tesis de doctorado])

Consejo Nacional de Ciencia y Tecnología No. 602990

In research in Mathematics Education, models have been reported to analyze mathematical connections in which specific connection categories are considered. In the literature, it was identified that the most used model is the Businskas with contributions from other researchers. However, the problem refers to the fact that some categories of connections limit the analysis of mathematical activity and, therefore, the research suggests that the established categories are validated and, if possible, new categories of connections are reported. Other investigations focused on exploring mathematical connections and understanding the derivative reveal that high school students, pre-service teachers, and some in-service mathematics teachers have difficulty connecting multiple representations of the derivative (e.g., algebraic, or symbolic, verbal, graphic, tabular) and establish connections between partial meanings about this concept.

Networking of theories Mathematical connections Onto-semiotic approach semiotic function derivative teacher students HUMANIDADES Y CIENCIAS DE LA CONDUCTA PEDAGOGÍA TEORÍA Y MÉTODOS EDUCATIVOS TEORÍAS EDUCATIVAS

GENERATION OF LG VECTOR MODES WITH ULTRAHIGH STABILITY BASED ON COMPLEX AMPLITUDE MODULATION IN AN ON-AXIS CONFIGURATION

Gloria Elizabth Rodríguez García (2023, [Tesis de maestría])

"This thesis presents a novel technique for generating vector beams using complex amplitude modulation (CAM) in an on-axis configuration. The holograms used to generate the beams were created using the Mathlab software and displayed on a reflective spatial light modulator (SLM). The main goal of this research was to address both the purity and stability of the beams during generation and propagation, introducing a quantitative approach to assess their stability. As a proof-of-concept, Laguerre-Gaussian vector beams have been generated and characterized using Stokes polarimetry with the proposed experimental set up."

Structured light Laguerre-Gauss vector beams Stokes polarimetry Beam generation Spatial light modulators CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA FÍSICA ÓPTICA OPTICA FÍSICA OPTICA FÍSICA

Stability of FeVO4-II under Pressure: A First-Principles Study

PRICILA BETBIRAI ROMERO VAZQUEZ SINHUE LOPEZ MORENO Daniel Errandonea (2022, [Artículo])

"In this work, we report first-principles calculations to study FeVO4 in the CrVO4-type (phase II) structure under pressure. Total-energy calculations were performed in order to analyze the structural parameters, the electronic, elastic, mechanical, and vibrational properties of FeVO4-II up to 9.6 GPa for the first time. We found a good agreement in the structural parameters with the experimental results available in the literature. The electronic structure analysis was complemented with results obtained from the Laplacian of the charge density at the bond critical points within the Quantum Theory of Atoms in Molecules methodology. Our findings from the elastic, mechanic, and vibrational properties were correlated to determine the elastic and dynamic stability of FeVO4-II under pressure. Calculations suggest that beyond the maximum pressure covered by our study, this phase could undergo a phase transition to a wolframite-type structure, such as in CrVO4 and InVO4."

FeVO4 under pressure CrVO4-type structure First-principles Mechanical properties Vibrational properties Electronic properties CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA FÍSICA FÍSICA DEL ESTADO SÓLIDO CRISTALOGRAFÍA CRISTALOGRAFÍA

Nitrogen fertilizer application alters the root endophyte bacterial microbiome in maize plants, but not in the stem or rhizosphere soil

Alejandra Miranda Carrazco Yendi Navarro-Noya Bram Govaerts Nele Verhulst Luc Dendooven (2022, [Artículo])

Plant-associated microorganisms that affect plant development, their composition, and their functionality are determined by the host, soil conditions, and agricultural practices. How agricultural practices affect the rhizosphere microbiome has been well studied, but less is known about how they might affect plant endophytes. In this study, the metagenomic DNA from the rhizosphere and endophyte communities of root and stem of maize plants was extracted and sequenced with the “diversity arrays technology sequencing,” while the bacterial community and functionality (organized by subsystems from general to specific functions) were investigated in crops cultivated with or without tillage and with or without N fertilizer application. Tillage had a small significant effect on the bacterial community in the rhizosphere, but N fertilizer had a highly significant effect on the roots, but not on the rhizosphere or stem. The relative abundance of many bacterial species was significantly different in the roots and stem of fertilized maize plants, but not in the unfertilized ones. The abundance of N cycle genes was affected by N fertilization application, most accentuated in the roots. How these changes in bacterial composition and N genes composition might affect plant development or crop yields has still to be unraveled.

Bacterial Community Structure DArT-Seq Bacterial Community Functionality Genes Involved in N Cycling CIENCIAS AGROPECUARIAS Y BIOTECNOLOGÍA AGRICULTURAL PRACTICES MAIZE RHIZOSPHERE STEMS NITROGEN FERTILIZERS

La Funcionalidad Física Arrecifal, indicador de la diversidad funcional en ensamblajes de peces de arrecifes en el Parque Nacional Islas Marietas, Nayarit, México

Reef Physical Functionality, indicator of functional diversity on reef fishes assemblages from Islas Marietas National Park, Nayarit, Mexico

Luis Mario Montalvo Jaramillo (2023, [Tesis de maestría])

La ecología funcional se basa en el uso de rasgos funcionales; características de las especies (morfológicas, fisiológicas, comportamiento) medidas a nivel individual que influencian el rendimiento de una especie, siendo de gran utilidad para determinar cambios dentro del ecosistema. El presente trabajo busca evaluar la funcionalidad física como indicador de disponibilidad de hábitat de peces y su relación con la diversidad funcional. La funcionalidad física del arrecife se evaluó mediante el IFA integrando datos de cobertura coralina, complejidad estructural y tasa de calcificación. La estructura de los ensamblajes de peces se analizó mediante el cálculo de índices de diversidad funcional (riqueza, equitatividad y divergencia) con base en cuatro rasgos funcionales (tamaño corporal, movilidad, tipo de agregación y dieta). La relación entre la diversidad funcional del ensamblaje y el IFA se evaluó mediante un análisis de regresión lineal. El IFA fue influenciado de manera positiva por la presencia Pocilloporidos al generar un mayor aporte a la funcionalidad física (FF) y consecuentemente, una mayor provisión de hábitat. Por el contrario, el IFA disminuyó con la presencia de Porites panamensis debido a su baja tasa de calcificación.La diversidad funcional de los ensamblajes no presentó variaciones temporales, atribuible a una baja variabilidad entre los sitios debido a una alta cercanía, baja variacion batimétrica y alta conectividad. La relación entre el IFA y la riqueza funcional de los ensamblajes se atribuye a que sitios con mayor funcionalidad física otorgan disponibilidad de hábitat y refugio contra la depredación a especies crípticas, de talla pequeña y juveniles; ya que, especies de este tipo se asocian a hoyos similares a su tamaño corporal y la supervivencia de las mismas aumenta en sustratos más complejos.

Functional diversity it’s based on functional traits; characteristics of species (morphological, physiological, behavior) measured at individual level that impact their performance and have great utility to determine changes within the ecosystem. This work aims to evaluate physical functionality as indicator of fish habitat availability and its relationship with functional diversity. The physical functionality of the reef was evaluated using the RFI, integrating data on coral cover, structural complexity, and calcification rate. The structure of the fish assemblages was analyzed by calculating functional diversity index (richness, evenness, and divergence) based on four functional traits (body size, mobility, type of aggregation and diet). The relationship between functional diversity and RFI was evaluated using linear regression analysis. The RFI was influenced on positive way for the presence of Pocilloporids due to the great contribution to physical functionality (PF) creating more habitat availability. For the other hand, the RFI was influenced on negative way for the presence of Porites panamensis due their low calcification rate. The functional diversity of the assemblages did not present temporal variations, attributable to a low variability between the sites due high proximity, low bathymetric variation and high connectivity. The relationship between RFI and the functional richness of the assemblages is attributed to fact that sites with greater physical functionality provide more availability of habitat and refuge against predation to cryptic, small and juvenile species; species of this type are associate with holes similar to their body size and their survival increases in more complex substrates.

Pacífico Méxicano, Índice de Función Arrecifal, Diversidad Funcional, Arrecife Reef, Functional Diversity, Reef Functional Index, Mexican Pacific BIOLOGÍA Y QUÍMICA CIENCIAS DE LA VIDA OTRAS ESPECIALIDADES DE LA BIOLOGÍA OTRAS OTRAS