Articles tagged with Harmonic Analysis
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.
The HALB project aims to investigate central problems in harmonic analysis and produce training material for AI applications. The researchers plan to improve and speed up the processes over time, enabling accurate verification of mathematical research results.
A study found that evaluators' musical experience influences the sight-over-sound effect, reducing its impact for those with auditory expertise. The study used Japanese high school brass band competitions and found no significant evidence of the effect in musicians, but a stronger presence in non-musicians.
A new microscopy technique, SIMIP, combines structured illumination with mid-infrared photothermal detection to achieve high-speed chemical imaging with superior resolution. The method outperforms conventional methods in terms of spatial resolution and chemical contrast.
Eliza Michalopoulou is leading a research project to improve ocean floor mapping using sound waves, aiming to understand the seabed's properties and characteristics. The goal is to enhance anti-submarine warfare strategies and contribute to global efforts like Seabed 2030 and Ocean Decade.
A team of researchers developed a novel method that leverages temporal characteristics of blood pulse to estimate heart rates with improved accuracy, especially in scenes with ambient light fluctuations. The proposed method showed a 36.5% improvement in estimation accuracy compared to conventional methods.
Researchers developed a new method, photoacoustic spectral analysis (PASA), to analyze the tumor microenvironment without invasive procedures. The technique uses laser light and sound waves to identify different types of tumors with high accuracy.
Arthur receives prize 'for his fundamental contributions to number theory and harmonic analysis.' His work on the Arthur-Selberg trace formula has profound connections between properties of numbers and geometric shapes.
Emmanuel Candes, a Caltech professor, has been awarded the $500,000 Waterman Award for his groundbreaking work in harmonic analysis and signal processing. His research aims to improve signal processing and analyze complex waves, with potential applications in medical imaging and everyday technologies.
Carleson's mathematical work on harmonic analysis and dynamical systems led to settling a conjecture that had remained unsolved for over 150 years. He also made significant contributions to the study of dynamical systems, which have applications in weather, financial markets, and biological systems.