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## Mathematics

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**1**-**17**of**17**.Mathematics -

**21.06.2024**New mathematical proof helps to solve equations with random components

Researcher at the Cluster of Excellence Mathematics finds an approach that can be used flexibly Whether it's physical phenomena, share prices or climate models - many dynamic processes in our world can be described mathematically with the aid of partial differential equations. Thanks to stochastics - an area of mathematics which deals with probabilities - this is even possible when randomness plays a role in these processes.

Life Sciences - Mathematics -

**13.06.2024** New insights into the brain regions involved in paranoia

Through a novel approach, Yale researchers translate data from monkeys to better understand how paranoia arises in the human brain. The capacity to adjust beliefs about one's actions and their consequences in a constantly changing environment is a defining characteristic of advanced cognition. Disruptions to this ability, however, can negatively affect cognition and behavior, leading to such states of mind as paranoia, or the belief that others intend to harm us.

Mathematics - Social Sciences -

**10.06.2024**Peers Crucial in Shaping Boys’ Confidence in Math Skills

Boys are good at math, girls not so much? A study from the University of Zurich has analyzed the social mechanisms that contribute to the gender gap in math confidence. While peer comparisons seem to play a crucial role for boys, girls' subjective evaluations are more likely to be based on objective performance.

Mathematics - Innovation -

**04.06.2024**New open-source platform allows users to evaluate performance of AI-powered chatbots

Researchers have developed a platform for the interactive evaluation of AI-powered chatbots such as ChatGPT. Anyone using an LLM, for any application, should always pay attention to the output and verify it themselves Albert Jiang A team of computer scientists, engineers, mathematicians and cognitive scientists, led by the University of Cambridge, developed an open-source evaluation platform called CheckMate, which allows human users to interact with and evaluate the performance of large language models (LLMs).

Physics - Mathematics -

**03.06.2024** Groundbreaking Progress in Quantum Physics: How Quantum Field Theories Decay and Fission

A simple concept of decay and fission of "magnetic quivers" helps to clarify complex quantum physics and mathematical structures.

Computer Science - Mathematics -

**25.05.2024** Enter the matrixes!

Whether performed by a human or a computer, matrix multiplication is a tedious task. Researchers are battling to reduce the time and number of steps required to solve this type of operation. Excel spreadsheets, climate modeling, simulation of aircraft wing structure, neural network calculations, image processing.

Physics - Mathematics -

**16.05.2024**Generative AI to answer complex questions in physics

A new technique that can automatically classify phases of physical systems could help scientists investigate novel materials. When water freezes, it transitions from a liquid phase to a solid phase, resulting in a drastic change in properties like density and volume. Phase transitions in water are so common most of us probably don't even think about them, but phase transitions in novel materials or complex physical systems are an important area of study.

Life Sciences - Mathematics -

**02.04.2024** How the brain senses body position and movement

Researchers at EPFL use neural networks to study proprioception, the sense the brain uses to "know" the body's movement and position. How does your brain know the position and movement of your different body parts? The sense is known as proprioception, and it is something like a "sixth sense", allowing us to move freely without constantly watching our limbs.

Health - Mathematics -

**20.03.2024** A computational model has been created to simulate the biomechanical growth of breast tumors

Research by UC3M and Johns Hopkins University Scientists from Universidad Carlos III de Madrid (UC3M) and Johns Hopkins University (JHU), in the USA, have analyzed the growth of breast tumors from a biomechanical perspective and have created a computational model that simulates the invasion process of cancer cells, depending on the characteristics of the surrounding tissue and cell junctions, among other parameters.

Mathematics - Computer Science -

**20.03.2024**Controlling chaotic turbulence to make ’cat-coat’ patterns in fluids

Researchers from TU/e and the University of Chicago discovered how to manipulate turbulent flows to create regular patterns like those seen in the tabby coat pattern of a cat. The new research has been published in Nature. Controlling the chaos of a turbulent flow to make regular patterns sounds like a contradiction in every sense of the word.

Mathematics - Pedagogy -

**07.03.2024** Drawings of mathematical problems predict their resolution

Scientists show that our mental representations of mathematical problems influence our strategies for solving them. Solving arithmetic problems, even simple subtractions, involves mental representations whose influence remains to be clarified. Visualizing these representations would enable us to better understand our reasoning and adapt our teaching methods.

Computer Science - Mathematics -

**07.03.2024**Method rapidly verifies that a robot will avoid collisions

Faster and more accurate than some alternatives, this approach could be useful for robots that interact with humans or work in tight spaces. Before a robot can grab dishes off a shelf to set the table, it must ensure its gripper and arm won't crash into anything and potentially shatter the fine china.

Mathematics -

**26.02.2024** What Math Tells Us about Social Dilemmas

Scientists at ISTA present a new mathematic model for cooperation Human coexistence depends on cooperation. Individuals have different motivations and reasons to collaborate, resulting in social dilemmas, such as the well-known prisoner's dilemma. Scientists from the Chatterjee group at the Institute of Science and Technology Austria (ISTA) now present a new mathematical principle that helps to understand the cooperation of individuals with different characteristics.

Mathematics - Computer Science -

**21.02.2024**Automated method helps researchers quantify uncertainty in their predictions

An easy-to-use technique could assist everyone from economists to sports analysts. Pollsters trying to predict presidential election results and physicists searching for distant exoplanets have at least one thing in common: They often use a tried-and-true scientific technique called Bayesian inference.

Physics - Mathematics -

**01.02.2024** Swarming cicadas, stock traders, and the wisdom of the crowd

The springtime emergence of vast swarms of cicadas can be explained by a mathematical model of collective decision-making with similarities to models describing stock market crashes. Pick almost any location in the eastern United States - say, Columbus Ohio. Every 13 or 17 years, as the soil warms in springtime, vast swarms of cicadas emerge from their underground burrows singing their deafening song, take flight and mate, producing offspring for the next cycle.

Astronomy / Space - Mathematics -

**19.01.2024** Black Hole Shadow

One year after the discovery image of the black hole M87*, improved observations of the Event Horizon Telescope (EHT) Collaboration give a better picture showing a persistent black hole shadow. The Event Horizon Telescope (EHT) Collaboration including scientists at Julius-Maximilians-Universität (JMU) Würzburg has released a new image of M87*, the supermassive black hole residing at the heart of the galaxy Messier 87.

Physics - Mathematics -

**08.01.2024**Technique could efficiently solve partial differential equations for numerous applications

MIT researchers propose "PEDS" method for developing models of complex physical systems in mechanics, optics, thermal transport, fluid dynamics, physical chemistry, climate, and more. In fields such as physics and engineering, partial differential equations (PDEs) are used to model complex physical processes to generate insight into how some of the most complicated physical and natural systems in the world function.

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