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Categories: Mathematics: General

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Mathematics: General Mathematics: Puzzles
Published

As few as 1 in 5 COVID cases may have been counted worldwide, mathematical models suggest      (via sciencedaily.com) 

Mathematical models indicate that as few as one in five cases of COVID-19 which occurred during the first 29 months of the pandemic are accounted for in the half billion cases officially reported.

Mathematics: General
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Mathematics enable scientists to understand organization within a cell's nucleus      (via sciencedaily.com) 

Researchers have developed a new mathematical technique to begin to understand how a cell's nucleus is organized. They hope this understanding will expose vulnerabilities that can be targeted to reprogram a cell to stop cancer or other diseases.

Mathematics: General
Published

What is the best way to group students? Math model      (via sciencedaily.com) 

Researchers have developed a new approach that uses math to determine the best ways to group individuals to maximize learning. Their work has broad implications in education, as well as in economics, music, medicine, and sports.

Mathematics: General Mathematics: Puzzles
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The way you talk to your child about math matters      (via sciencedaily.com) 

'You're so smart!' -- This encouraging response may actually do more harm than good to children's math performance, according to a new study. The study found that encouraging children with responses related to their personal traits or innate abilities may dampen their math motivation and achievement over time.

Mathematics: General
Published

Pioneering mathematical formula paves way for exciting advances in health, energy, and food industry      (via sciencedaily.com) 

A groundbreaking mathematical equation has been discovered, which could transform medical procedures, natural gas extraction, and plastic packaging production in the future.

Mathematics: General
Published

Push, pull or swirl: The many movements of cilia      (via sciencedaily.com) 

Researchers know about many of cilia's roles, but not exactly how they beat in the first place. A new mathematical model aims to uncover the secret to cilia's beating motions.

Mathematics: General
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Researchers use computer modeling to understand how self-renewal processes impact skin cell evolution      (via sciencedaily.com) 

Scientists have used mathematical and computer modeling to demonstrate the impact of skin homeostasis on driver and passenger mutations.

Mathematics: General
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Mixing things up: Optimizing fluid mixing with machine learning      (via sciencedaily.com) 

Fluid mixing is an important part of several industrial processes and chemical reactions. However, the process often relies on trial-and-error-based experiments instead of mathematical optimization. While turbulent mixing is effective, it cannot always be sustained and can damage the materials involved. To address this issue, researchers have now proposed an optimization approach to fluid mixing for laminar flows using machine learning, which can be extended to turbulent mixing as well.

Mathematics: General
Published

Safe havens for cooperation      (via sciencedaily.com) 

Whether networks with a high level of cooperation emerge in a community depends on how quickly individuals leave -- for example, because they are exploited by others. Researchers investigated this problem by modeling a well-known cooperation game. They consider a spatial network, where players can relocate between different patches if they judge the local conditions to be unfavorable.

Mathematics: General
Published

Ultracold atoms dressed by light simulate gauge theories      (via sciencedaily.com) 

Researchers have used the coldest systems in the universe to realize in the laboratory gauge theories, key models of modern physics that describe the fundamental forces of Nature and the behavior of complex quantum materials.

Mathematics: General
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Researchers discover major roadblock in alleviating network congestion      (via sciencedaily.com) 

Researchers discovered that congestion control algorithms designed to ensure multiple users sending data over a network do so fairly are actually unable to avoid situations where some users are hogging all the bandwidth.

Mathematics: General
Published

New model predicts how temperature affects life from quantum to classical scales      (via sciencedaily.com) 

A new theory explains how every process depends on temperature. This theory could help researchers make accurate predictions in a range of areas, including biological responses to climate change, the spread of infectious diseases, and food production.

Energy: Nuclear Mathematics: General
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Go with the flow: New findings about moving electricity could improve fusion devices      (via sciencedaily.com) 

Researchers have found that updating a mathematical model to include a physical property known as resistivity could lead to the improved design of doughnut-shaped fusion facilities known as tokamaks.

Mathematics: General
Published

Advocating a new paradigm for electron simulations      (via sciencedaily.com) 

Researchers improve a widely used simulation method for high-performance computing clusters.

Mathematics: General
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A new model sheds light on how we learn motor skills      (via sciencedaily.com) 

Researchers have developed a mathematical model of motor learning that reflects the motor learning process in the human brain. Their findings suggest that motor exploration -- that is, increased variability in movements -- is important when learning a new task. These results may lead to improved motor rehabilitation in patients after injury or disease.

Mathematics: General
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Math model predicts efficacy of drug treatments for heart attacks      (via sciencedaily.com) 

Researchers used mice to develop a mathematical model of a myocardial infarction. The new model predicts several useful new drug combinations that may one day help treat heart attacks, according to researchers.

Mathematics: General
Published

New, highly tunable composite materials--with a twist      (via sciencedaily.com) 

Mathematicians have found that they can design a range of composite materials from moiré patterns created by rotating and stretching one lattice relative to another. Their electrical and other physical properties can change --s ometimes quite abruptly, depending on whether the resulting moiré patterns are regularly repeating or non-repeating.

Mathematics: General
Published

Study explores the promises and pitfalls of evolutionary genomics      (via sciencedaily.com) 

A new study examines mathematical models designed to draw inferences about how evolution operates at the level of populations of organisms. The study concludes that such models must be constructed with the greatest care, avoiding unwarranted initial assumptions, weighing the quality of existing knowledge and remaining open to alternate explanations.

Mathematics: General
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Agriculture tech use opens possibility of digital havoc      (via sciencedaily.com) 

Wide-ranging use of smart technologies is raising global agricultural production but international researchers warn this digital-age phenomenon could reap a crop of another kind -- cybersecurity attacks. Complex IT and math modelling has highlighted the risks.

Mathematics: General Space: Structures and Features
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AI reveals unsuspected math underlying search for exoplanets      (via sciencedaily.com) 

The astronomers' goal: find an artificial intelligence algorithm to interpret microlensing events captured by the upcoming Roman Space Telescope and speed detection of exoplanets around other stars. They achieved that, but the AI told them something unexpected and deep: the theory used to infer stellar and exoplanetary masses and orbits from observations was incomplete. Digging into the mathematics, they uncovered a theory that explains all types of microlensing events and possible ambiguities in interpreting them.