Articles tagged with Systems Equations
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 at the University of Surrey discovered evidence of opposing arrows of time emerging from quantum systems. The study suggests that time's arrow may not be fixed, and instead could flow in both forward and backward directions due to processes taking place at the quantum level.
The paper proposes a novel method for modeling hybrid renewable energy systems using high-efficiency converters and generators. The research results show that the front-end converter is suitable for isolating sources from loads and enhancing DC bus voltage, with simple control algorithms and reduced switching losses.
Researchers at Michigan Medicine develop a composite hydrogel capable of steady, sustained drug release using ultrasound as a trigger. The fibrin hydrogel matrix vaporizes an emulsion upon exposure to ultrasound, releasing the encapsulated drug in a zero-order release process, providing consistent levels over time.
Physicists at Trinity College Dublin developed a new theory describing the energy landscape of collections of quantum particles. This work addresses decades-old questions and may help scientists design materials revolutionizing green technologies.
A new study published in Hypertension journal suggests that both 30-year and 10-year risk predictions should be considered when making high blood pressure treatment decisions. The researchers compared two risk prediction tools and found that long-term, 30-year risk may be more important than short-term, 10-year risk for informing medic...
A Japanese research team has developed a framework that accurately describes how first-order reactions appear depending on the time interval used to measure the reaction. The work uses a 'shutter speed' analogy to simplify complex molecular changes, allowing for precise predictions of reaction outcomes.
Professor Kostya Trachenko develops a general theory for predicting melting points, resolving a century-long puzzle. The new framework incorporates recent advancements in liquid theory and reveals a surprising universality across different material types.
The study reveals insights into topological materials by visualizing the motion of coupled pendula, reproducing behaviors of electrons in periodic systems. The researchers directly measure Bloch oscillations and Zener tunneling phenomena, previously impossible to observe in quantum systems.
The American Heart Association's PREVENT risk calculator will be evaluated among diverse populations to assess its accuracy and fairness. The research aims to ensure that the tool provides accurate risk predictions for people from various racial, ethnic, and socioeconomic backgrounds.
Researchers developed an accelerating wave equation to solve daily phenomena, revealing a well-defined direction of time. The framework also predicts energy conservation in certain situations, including exotic materials.
Researchers have developed a new method to estimate river flow rates on Mars and Titan, utilizing satellite observations and mathematical equations. The technique allows for predictions of river flow times, sediment size, and potential support for life, shedding light on these celestial bodies' geological pasts.
A University of Houston researcher has developed a method to describe complex systems using the least number of variables possible, reducing complexity from millions to just one. This advancement speeds up science with efficiency and ability to understand and predict natural system behavior.
A team led by Jianxi Gao developed equations to measure and compare distances to tipping points across various mutualistic systems, allowing for the triage of declining ecosystems. This method enables the identification of areas that need intervention most urgently, providing a critical sense of urgency to mobilize resources.
Researchers have discovered an elegant equation to approximate the coherence time of materials hosting spin qubits. The team can now estimate coherence times in seconds using just five material properties, facilitating a rapid exploration of new candidate materials.
A novel 'rational' neural network reveals underlying mathematical equations through Green's functions, enabling humans to understand machine-generated findings. This breakthrough in partial differential equation learning holds promise for advancing scientific exploration of weather systems, climate change, and more.
Researchers at Penn State have developed Zentropy theory, a new approach to understanding entropy that can predict anomalies in physical properties like volume. The theory may lead to breakthroughs in designing superconducting materials and structural materials that withstand higher temperatures.
A multidisciplinary team at UNIGE has developed a simple mathematical equation to explain the complex distribution of scales in ocellated lizards. This discovery contributes to a better understanding of skin color pattern evolution and provides an optimal pattern for animal survival.
Researchers at Trinity College Dublin have developed mathematical equations explaining how individual randomness can give rise to synchronisation, applicable to systems like clocks, fireflies and metronomes. The findings provide a basis for new types of computer technology using light signals.
A long-running survey of ants at Stanford's Jasper Ridge Biological Preserve found that the distribution of Argentine ants has receded by 30% since 1994. Climate change was identified as a significant factor in this decrease, particularly during an extreme drought from 2012 to 2015.
A new study supports prioritizing resources to those who are most likely to survive an acute illness, as several chronic medical conditions had less impact on longer-term survival than previously suspected. The research found variability among chronic conditions, with some illnesses being better predictors of death than others.
Researchers at Brussels Photonics develop a deterministic design method for freeform imaging systems using differential equations derived from Fermat's principle. The method generates 'first time right' initial designs that enable rigorous evaluation in solution space, reducing the need for trial-and-error approaches.
Eliminating race-based adjustments in equations to estimate kidney function may lead to significant changes in medication prescribing practices for Black adults, according to a new study. The findings suggest that this change could result in lower eGFR values and potentially impact treatment outcomes for diabetic patients.
Researchers developed DeepShake, a deep spatiotemporal neural network trained on over 36,000 earthquakes, which analyzes seismic signals in real time and provides advanced warnings of strong shaking. The model was tested using the 2019 Ridgecrest earthquake, sending simulated alerts up to 13 seconds prior to high-intensity ground shaking.
A mathematician from RUDN University developed a stable difference scheme to solve inverse problems in elliptic-telegraph and differential equations. The scheme was tested both analytically and numerically, demonstrating absolute stability and independence from calculation step size.
Mathematicians from RUDN University and University of Munich introduced a new method for stationary solutions in three-dimensional Vlasov-Poisson equations, describing phenomena in stellar dynamics. The results provide insights into the interaction of gravitating particles and electromagnetic fields.
Researchers have developed a new principle for next-generation semiconductor memory development, utilizing nanomagnetism to control data storage. The technology reduces power consumption by up to 60% compared to conventional spin devices.
A new simulation approach accurately depicts the role of elusive particles called neutrinos in the evolution of the universe. The results show that neutrinos suppress dark matter clustering and are correlated with massive galaxy clusters.
Researchers develop model that links movement of predators and prey to segregation of oil and vinegar, expanding theoretical framework from inanimate matter. The model reveals universal characteristics of active living matter, including bacteria, enzymes, and motor proteins.
A newly published paper introduces a formal theoretical framework from first principles, enabling researchers to predict the fascinating properties of coupled photonic systems before numerically simulating them. The theory allows for the design and prediction of line-shapes with desired near-field and far-field properties.
Scientists have successfully predicted the dynamics of binding and unbinding processes on a time scale of seconds to half a minute in pharmacologically relevant test systems. The new dissipation-corrected targeted MD approach reduces computational power by a factor of ten.
Parametric oscillators can be made to resonate when driven by high and low frequencies, a discovery that could improve our understanding of nonlinear systems in various fields. This is achieved through the tuning of the high-frequency driving force to match the low frequency, causing the system to exhibit resonance.
For the first time, physicists have experimentally demonstrated that certain systems with interacting entities can synchronize only if the entities within the system are different from one another. Researchers found that identical entities naturally behave identically until they start interacting and then identified scenarios in which ...
Biomedical engineers at Duke University developed a framework to predict mutually beneficial biological systems using machine learning. They created a simplified metric to determine collective benefit using variables like temperature, pH, and genetics.
Researchers found that graphene's Poisson ratio, which determines material capability to shrink or extend in transverse dimension, varies depending on the applied tensile force. This discovery could help create new materials with required exotic properties and improve existing technologies.
Researchers at TU Wien have created a comprehensive mathematical model that accurately replicates the complex growth behavior of penicillin-producing organisms. This model is now helping Sandoz GmbH to optimize its production process, ensuring optimum quality by adjusting parameters such as nutrient supply in real-time.
A team of researchers analyzed how diverse social norms impact cooperation using game theoretical methods. They found that adopting 'dividualism' leads to the extinction of a norm assessing helpful behavior towards bad individuals, contradicting previous research based on individualism.
A Caltech researcher has found that the Schrödinger Equation governs the evolution of massive astrophysical disks. The equation, typically used for subatomic systems, describes how warps and distortions emerge in these disks over millions of years. This surprising discovery could provide new insights into complex astronomical phenomena.
Researchers have developed a framework to identify key patterns that precede extreme events in complex systems. The method combines equations and data analysis to predict precursors, achieving high accuracy rates in simulations.
Giuseppe Carleo and Matthias Troyer have found a way to overcome the mathematical complexity of many-particle systems using an artificial neural network. The researchers used reinforcement learning to identify important parameters in chaotic systems, enabling calculations with simplified equations for larger systems.
A new simplified mass-spring-bar model is presented for the semi-pelagic trawl system, enabling trajectory tracking and control of the trawl net and two otter boards. The proposed hybrid control approach combines stability analysis with S-plane control to ensure effective motion control.
Researchers at the University of Nevada, Reno have modeled how a colloidal droplet evaporates and found a previously overlooked mechanism that determines particle deposition dynamics. The discovery builds on existing work, allowing scientists to manipulate solute particles by altering surface tension.
The study models coffee extraction in drip filter machines, considering bed dimensions, flow rates, and grind size distribution. Approximate solutions are used to relate brewing performance with coffee, water, and equipment properties.
Researchers developed a method to ensure fractional order stochastic differential inclusions can be controlled. This breakthrough applies to complex systems like financial markets and quantum systems. The team demonstrated controllability for both convex and nonconvex cases, enhancing device design and functionality.
Researchers assembled various models into a single equation to identify the variables controlling stripe formation. The integrated model predicts three main perturbations that can affect how stripes orient, including changes in production and parameter gradients.
A study in the Journal of Marketing found that higher financial leverage leads to decreased customer satisfaction due to reduced advertising spending. The impact of leverage is economically significant, resulting in a 0.47-point decrease in customer satisfaction equivalent to an estimated $26 million loss in net operating cash flows.
A new method developed by Filippo Radicchi could improve the resilience of critical systems like air traffic control networks and power grids. The framework analyzes 'percolation' in a system, measuring disruption caused by small breakdowns.
A new approach breaks down the N-body problem into inertial and local reference frames, allowing for the solution of the Einstein field equations with accuracy. The results have practical applications in astronomy, geodesy, and astrophysics.
Theoretical astrophysicists discovered that gravitational waves from merging binary neutron star systems have a characteristic spectrum similar to atomic spectral lines. This allows for the inference of neutron star properties, including equation of state and stellar structure.
A team of researchers led by Kent State professor Michael Strickland has developed an exact solution to a complex physics equation, enabling more accurate modeling of the universe's earliest moments and high-energy particle collisions. The breakthrough has far-reaching implications for fields like galactic structure, supernovae, and he...
A pair of mathematicians from France propose a system of ordinary differential equations to optimize running strategies. The model uses physiological parameters and energy conservation principles, allowing for the prediction of ideal race performances.
Researchers have made progress on a 'breathing' battery that could replace lithium-ion technology in electric vehicles, with the potential for nearly twice the energy storage capacity. The new battery design uses air instead of traditional materials and has shown high conductivity and the ability to discharge and recharge 100 times.
A scientist suggests an alternative approach to calculating microbial growth thermodynamics, citing discrepancies between theoretical and experimental results. The Battley free energy equation offers a more realistic representation of real-world conditions.
University of Cincinnati doctoral student Dippy Aggarwal presents early results on leveraging power analytics and linked data for enterprise computing at the Grace Hopper Celebration of Women in Computing Conference. Her project aims to capture an organization's ecological footprint through real-time power consumption tracking.
A new algorithm by Carnegie Mellon researchers can efficiently solve systems of linear equations, a crucial problem in computer applications like image processing and logistics. The algorithm applies to symmetric diagonally dominant (SDD) systems, outperforming existing methods by billion-fold speedup.
Rensselaer researchers discovered that delayed communication in networks can lead to a decline in performance, even if initial coordination is increased. The study's findings have implications for various network systems, including computer networks and social media.
A study found that a widely used simplified heart-risk guideline may over- or underestimate risk for millions of Americans, with 5.7 million people misclassified into different risk groups using the point-based model versus the original Framingham model.
Researchers at University of Innsbruck simulate Dirac equation using calcium ion, demonstrating Zitterbewegung and antiparticle behavior. The experiment provides a proof-of-principle for simulating relativistic quantum systems.
A new mathematical model simulates the Big Bang's physical processes, including gas motion, radiation transport, chemical kinetics, and gravitational acceleration. The model's tight coupling enables highly accurate and numerically stable simulations on large supercomputers.
Researchers teach computer to find regularities in nature that become established laws without prior knowledge, applicable to biology, cosmology, and complex systems. The algorithm tests equations against known derivatives, repeats until accurate equations are found.
Researchers at the University of Illinois created a mixed reality state in a physical system by coupling a mechanical pendulum with a virtual one. The resulting state showed correlated motion between the two pendulums, even when their lengths were dissimilar.