Articles tagged with Topology
Comprehensive exploration of living organisms, biological systems, and life processes across all scales from molecules to ecosystems. Encompasses cutting-edge research in biology, genetics, molecular biology, ecology, biochemistry, microbiology, botany, zoology, evolutionary biology, genomics, and biotechnology. Investigates cellular mechanisms, organism development, genetic inheritance, biodiversity conservation, metabolic processes, protein synthesis, DNA sequencing, CRISPR gene editing, stem cell research, and the fundamental principles governing all forms of life on Earth.
Comprehensive medical research, clinical studies, and healthcare sciences focused on disease prevention, diagnosis, and treatment. Encompasses clinical medicine, public health, pharmacology, epidemiology, medical specialties, disease mechanisms, therapeutic interventions, healthcare innovation, precision medicine, telemedicine, medical devices, drug development, clinical trials, patient care, mental health, nutrition science, health policy, and the application of medical science to improve human health, wellbeing, and quality of life across diverse populations.
Comprehensive investigation of human society, behavior, relationships, and social structures through systematic research and analysis. Encompasses psychology, sociology, anthropology, economics, political science, linguistics, education, demography, communications, and social research methodologies. Examines human cognition, social interactions, cultural phenomena, economic systems, political institutions, language and communication, educational processes, population dynamics, and the complex social, cultural, economic, and political forces shaping human societies, communities, and civilizations throughout history and across the contemporary world.
Fundamental study of the non-living natural world, matter, energy, and physical phenomena governing the universe. Encompasses physics, chemistry, earth sciences, atmospheric sciences, oceanography, materials science, and the investigation of physical laws, chemical reactions, geological processes, climate systems, and planetary dynamics. Explores everything from subatomic particles and quantum mechanics to planetary systems and cosmic phenomena, including energy transformations, molecular interactions, elemental properties, weather patterns, tectonic activity, and the fundamental forces and principles underlying the physical nature of reality.
Practical application of scientific knowledge and engineering principles to solve real-world problems and develop innovative technologies. Encompasses all engineering disciplines, technology development, computer science, artificial intelligence, environmental sciences, agriculture, materials applications, energy systems, and industrial innovation. Bridges theoretical research with tangible solutions for infrastructure, manufacturing, computing, communications, transportation, construction, sustainable development, and emerging technologies that advance human capabilities, improve quality of life, and address societal challenges through scientific innovation and technological progress.
Study of the practice, culture, infrastructure, and social dimensions of science itself. Addresses how science is conducted, organized, communicated, and integrated into society. Encompasses research funding mechanisms, scientific publishing systems, peer review processes, academic ethics, science policy, research institutions, scientific collaboration networks, science education, career development, research programs, scientific methods, science communication, and the sociology of scientific discovery. Examines the human, institutional, and cultural aspects of scientific enterprise, knowledge production, and the translation of research into societal benefit.
Comprehensive study of the universe beyond Earth, encompassing celestial objects, cosmic phenomena, and space exploration. Includes astronomy, astrophysics, planetary science, cosmology, space physics, astrobiology, and space technology. Investigates stars, galaxies, planets, moons, asteroids, comets, black holes, nebulae, exoplanets, dark matter, dark energy, cosmic microwave background, stellar evolution, planetary formation, space weather, solar system dynamics, the search for extraterrestrial life, and humanity's efforts to explore, understand, and unlock the mysteries of the cosmos through observation, theory, and space missions.
Comprehensive examination of tools, techniques, methodologies, and approaches used across scientific disciplines to conduct research, collect data, and analyze results. Encompasses experimental procedures, analytical methods, measurement techniques, instrumentation, imaging technologies, spectroscopic methods, laboratory protocols, observational studies, statistical analysis, computational methods, data visualization, quality control, and methodological innovations. Addresses the practical techniques and theoretical frameworks enabling scientists to investigate phenomena, test hypotheses, gather evidence, ensure reproducibility, and generate reliable knowledge through systematic, rigorous investigation across all areas of scientific inquiry.
Study of abstract structures, patterns, quantities, relationships, and logical reasoning through pure and applied mathematical disciplines. Encompasses algebra, calculus, geometry, topology, number theory, analysis, discrete mathematics, mathematical logic, set theory, probability, statistics, and computational mathematics. Investigates mathematical structures, theorems, proofs, algorithms, functions, equations, and the rigorous logical frameworks underlying quantitative reasoning. Provides the foundational language and tools for all scientific fields, enabling precise description of natural phenomena, modeling of complex systems, and the development of technologies across physics, engineering, computer science, economics, and all quantitative sciences.
Researchers have developed a new method for describing extremely complicated shapes, bridging topology and fractals. The persistent homology theory will aid in investigating and describing complex structures found in nature, such as defects in metals and wave froth.
Theoretical physicists have developed a new concept to create exotic topological states using dissipation, which can lead to immune quantum computers. They successfully linked concepts of quantum optics and condensed matter physics, demonstrating the feasibility of this approach.
American mathematician Andrew Toms has been awarded the prestigious AMS Centennial Fellowship for his excellence in research. The fellowship, worth $79,000, supports his work on operator algebras and their connections to dynamics and descriptive set theory.
Researchers observe fractional vortex state in strontium ruthenium oxide, potentially providing basis for topological quantum computing. The discovery may offer the first experimental evidence for an exotic state of matter predicted theoretically for over 30 years.
Researchers have discovered Möbius symmetry in metamaterials, which are engineered materials with electromagnetic properties. This discovery opens the door to finding and exploiting novel phenomena in metamaterials, as the coupling constants between meta-atoms can be arbitrarily varied without constraints.
A study published in Chaos found that traditional topological models, which rely on abstract network connections, are less accurate than physics-based models when assessing the vulnerability of the US electric grid. The researchers conclude that the grid's unpredictability makes it difficult to identify potential attack points.
The San Diego Supercomputer Center and CAIDA have created a geometric map of the Internet using hyperbolic geometry, leading to more efficient routing architecture. The new approach simplifies path-finding throughout the network, increasing speed, accuracy, and resistance to damage.
Topology optimization enables creation of patient-specific, case-by-case designs for tissue-engineered bone replacements in facial reconstruction. The technique accounts for variables like blood flow and chewing forces to optimize structure and function.
Researchers used Robofish to study the collective behavior of three-spined sticklebacks in groups. The findings show that individual fish are more influenced by neighboring fish than distance from the leader, providing insights into fish group dynamics and collective animal behavior.
Researchers at the University of Nevada Reno aim to solve fundamental questions about knots and low-dimensional manifolds using a new set of techniques. This study has implications for various scientific fields, including topology and materials science.
The molecule features two freely spinning rings that can adopt either a Hückel or Möbius topology, depending on the solvent and temperature conditions. This allows it to exhibit distinct colors in each configuration.
The American Mathematical Society has presented several prestigious prizes at the Joint Mathematics Meetings, recognizing significant achievements in mathematical exposition, research, and lifetime achievement. Notable winners include David Mumford, Karen Uhlenbeck, and Henry McKean.
Researchers Vin de Silva and Robert Ghrist use homology theory to analyze sensor networks, providing global information about coverage areas and detecting intruders. The study offers insights into designing effective sensor networks for national security measures.
Researchers create experimental models of hierarchical topologies by mixing components in a fluid and then 'freezing' them in place. This method allows for the study of self-assembly at the nano-scale, enabling diverse industries to generate new materials with enhanced properties such as super adhesion and low friction.
Shelly Harvey's discovery applies to a longstanding problem within knot theory, but its significance lies in the broader context of topology. The underlying structure she uncovered uses algebraic structures to describe similarities and differences between knotted shapes, offering a new approach to proving equivalency.
Researchers at UCLA successfully synthesized three identical, mutually interlocking Borromean rings around six metal templates. The complex seven-step synthesis required the use of computational chemistry and a high-risk approach.
Researchers have developed a new class of hyperbranched polymers with excellent mechanical properties and lower viscosities. These polymers can be easily processed and are suitable for various applications such as fuel cell materials, biocompatible elastomers and photo-curable adhesives.
Geologist Edward Keller has discovered a lost island, Isla Calafia, submerged for over 13,000 years under the Santa Barbara channel. The island, 31 miles long and three miles wide, rises about 660 feet from the bottom of the channel and is bordered by two major earthquake faults.