Articles tagged with Fractals
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.
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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.
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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 directly observed Hofstadter's Butterfly, a complex pattern of energy states resembling a butterfly, in graphene. The phenomenon confirms decades-long theoretical predictions and may lead to the discovery of new electrical properties.
A team of researchers has observed a rare quantum physics effect that produces a repeating butterfly-shaped energy spectrum in a magnetic field, confirming the prediction of the quantum fractal energy structure called Hofstadter's butterfly. The discovery paves the way for engineering new types of nanoscale materials.
Researchers confirm Hofstadter butterfly, a rare quantum effect producing a repeating butterfly-shaped energy spectrum, in moiré-patterned graphene. This discovery provides the first direct experimental proof of this fractal pattern, which was predicted by American physicist Douglas Hofstadter in 1976.
Scientists have found a model that describes the evolution of cauliflower-type fractal morphologies for nanoscopic systems, offering insights into natural structures like sea coasts and blood vessels. This breakthrough may help improve technologies used in thin film coatings and generate textures in computer simulations.
Researchers have created self-bending light beams that can move along curved paths and heal themselves, potentially using them to manipulate particles and data. Meanwhile, scientists have also designed ultralight fractal materials that could be used to build solar sails with reduced weight, potentially improving space propulsion.
Researchers have provided a mathematical formula to describe the processes that dictate how cauliflower-like patterns form and develop. The formula was derived from thin films grown using chemical vapour deposition, which successfully predicted the final cauliflower-like patterns by comparing them to actual plants.
New data from WiggleZ galaxy survey finds matter distributed evenly on scales over 350 million light years, contradicting fractal theories. The study's findings support the standard model of cosmology, confirming our understanding of space and time.
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.
Researchers capture most detailed images of airborne soot particles, revealing surprising complexity and diversity. The study paves the way for understanding atmospheric processes and designing cleaner combustion sources.
A theoretical model simulates brain tumor cell evolution under treatment, revealing that peripheral cells need to be targeted. The model suggests enhancing TTF treatment by applying specific frequencies, leading to increased plasma membrane permeability and cancer cell demise.
Tiny fractal trees made from silver could lead to better, more efficient solar cells due to their large surface area. These structures will collect positively charged holes and produce electrical potential when light particles hit the polymer coat.
Researchers at the University of Oregon are working on a project to design fractal devices that can be implanted in the eyes to restore vision. These devices will mimic the natural pattern found in the retina and could potentially overcome current limitations in chip technology, which are not compatible with neurons.
Researchers warn that current camera technology cannot be directly applied to the human retina due to differences in photoreceptor distribution and fractal patterns. New implant designs, such as nanocluster deposition, are being developed to address these challenges.
Researchers have discovered that partition numbers behave like fractals, unlocking their infinitely repeating superstructure and developing a mathematical theory to 'see' them. A new finite formula has been devised to calculate the partitions of any number, bringing completely new ideas to the problems.
A special issue of CBE—Life Sciences Education journal introduces new ways to integrate mathematical thinking into biology education and vice versa. The articles explore teaching modeling, DNA microarray analysis, fractal geometry, and more to bridge the gap between math and biology skills.
Researchers created microchannels mimicking natural vasculatures using fractal patterns. The findings detail the construction of elaborate networks capable of supporting fluid transport, addressing a critical need in tissue engineering.
Researchers at the University of Warwick have found fractal patterns in the solar wind that correspond to the Sun's 'storm season', indicating complex magnetic field activity. This discovery could improve our understanding of space weather and its impact on cosmic ray flux, as well as inform the development of fusion power.
Researchers Katherine Jones-Smith and Harsh Mathur critique the work of physicist Richard Taylor, who claimed fractal analysis could authenticate Pollock's paintings. They found that fractal analysis leads to mathematical contradictions and inconsistencies in Pollock's works.
The 'culturally situated design tools' (CSDTs) program uses computer software to educate students about the mathematics principles behind various cultural designs. Preliminary research shows a statistically significant increase in math achievement and positive attitudes toward IT careers for students exposed to CSDTs.
Researchers at Ohio University have successfully created the world's first synthetic nanoscale fractal molecule, which has potential applications in novel energy storage systems, photoelectric cells, and molecular batteries. The molecules are made of iron and ruthenium ions and form a hexagonal gasket.
Researchers developed a system using a tri-axial accelerometer and fractal analysis to study Parkinson's patients' walking patterns. The study reveals the complexity of body motion in both healthy elderly subjects and Parkinson's disease patients, with the latter exhibiting higher fractal measures indicating more complex symptoms.
Researchers at Penn State have created innovative design methods for a new class of antennas composed of fractal-shaped tiles, offering improved bandwidth and radiation patterns. The fractile arrays are generated recursively and offer advantages over conventional square boundaries.
Scientists created a new material that exhibits fractal behavior in its magnetic field, leading to the discovery of 'fractal cluster glass'. This phenomenon could revolutionize the design of electronic devices in the future, as smaller devices may no longer behave like traditional three-dimensional objects.
Researchers are using fractal mathematics to measure past events and forecast future hurricane events with increased accuracy. The technique has been shown to provide a deeper level of understanding of complex systems in nature, enabling better forecasting of hazardous natural phenomena.
Researchers use fractal models to study blue jets and starters, finding they are made of small streamers rather than a solid column. Blue jets propagate slowly from clouds to ionosphere, while starters travel shorter distances with low charge input.
Fractal extremes help predict when surfaces will reach critical points of erosion or accumulation, enabling better material designs and reliable devices. The study uses scaling math and extreme-value statistics to model surface growth and erosion processes, providing a more accurate method for predicting these events.
Scientists Yonathan Shapir and Jacob Jorné discovered that natural cycles generate fractal patterns, governing everything from weather to cauliflower heads. This breakthrough enables the prediction of events like car battery lifespan, lawn growth, and tumor cell behavior, with potential applications in engineering and medicine.
Scientists from Boston University's Center for Polymer Studies use modern physics to analyze heartbeats, finding complex multifractal properties in healthy hearts. This discovery could help doctors diagnose cardiac disease more effectively, potentially avoiding the harm caused by medication aimed at eliminating variability.