Articles tagged with Prime Numbers
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.
Ken Ono, a renowned number theorist, has been named a Cozzarelli Prize finalist for his research on prime numbers and partitions. His paper, 'Partitions Detect Primes,' reveals a new way of understanding prime numbers using the mathematical concept of partitions.
The ADA Forsyth Institute has ranked as the top oral health research institution on the East Coast, receiving significant funding from the National Institute of Dental and Craniofacial Research. The institute's researchers have consistently demonstrated excellence in their field, with a strong track record of innovation and impact.
Researchers from City University of Hong Kong developed a unified colour system based on prime numbers, called C<sub>235</sub>, which can represent various colours more efficiently than existing systems like RGB and CMYK. The new colour system has potential applications in designing energy-saving LCD systems and colourizing DNA codons.
Scientists have successfully created a quantum potential with energy levels corresponding to the first 15 prime numbers and the first 10 lucky numbers. This achievement opens up new possibilities for addressing mathematical questions related to number theory using quantum mechanical experiments.
The team creates an integrated circuit that can generate chaotic signals with various features, including trains of spikes similar to biological neurons. The device is small and efficient, suitable for emerging applications such as wireless sensor networks and energy-efficient computing.
Researchers have revived an old approach to the Riemann Hypothesis using Jensen-Polya polynomials, providing a new framework for understanding prime numbers. The approach reveals a method to calculate the polynomials all at once, opening up new avenues for solving other fundamental mathematical problems.
A recent study on dice reveals that their design changed significantly over time, reflecting shifting worldviews about luck and fairness. Dice were initially lopsided in Roman times and early medieval periods, but standardization emerged around 1450 with the adoption of Renaissance-era ideas about chance and probability.
The 2017 AMS Doob Prize recognizes the groundbreaking work of John Friedlander and Henryk Iwaniec on prime numbers and sieves. Their book Opera de Cribro has made a profound impact on the field of sieve theory, providing a comprehensive presentation of the subject.
Researchers have cataloged over 20 million objects, each with its unique L-function, providing a framework for understanding the underlying relationships between mathematical entities. The project aims to accelerate progress in number theory, physics, and computer science by making these connections visible.
Researchers at UCSB have successfully factored a small composite number using a quantum processor. The achievement is significant as it demonstrates a milestone on the road to building a quantum computer capable of factoring larger numbers with significant implications for cryptography and cybersecurity.
John Tate has made significant contributions to the field of algebraic number theory and arithmetic geometry. His work has resulted in the creation of fundamental concepts and the development of lasting impact on modern mathematics.
An international team of mathematicians has factored a 307-digit number, shattering the previous record. The achievement was made possible by advances in distributed computing and refined algorithms.
Researchers explore the potential of quantum computing to revolutionize problem-solving capabilities. Quantum computers can process vast amounts of information simultaneously, making them ideal for complex calculations like public key encryption and teleportation.
The EFF Cooperative Computing Awards offer over half a million dollars in prize money for finding huge prime numbers and solving scientific problems.
Researchers predict a significant rise in stroke cases in the US, with 1 million Americans expected to experience their first-ever stroke each year by 2050. This surge is largely attributed to an aging population, which will drive an increase of 167% among men and 140% among women.