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## Mathematics

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**1**-**17**of**17**. Reconstructing structure and function of a neuronal circuit

Reconstructing structure and function of a neuronal circuit The function of neuronal circuits is thought to be determined largely by specific connections between neurons. But this assumption has been difficult to test because the reconstruction of the synaptic connectivity of a neuronal circuit - its "wiring diagram" - is a major challenge.

Reconstructing structure and function of a neuronal circuit The function of neuronal circuits is thought to be determined largely by specific connections between neurons. But this assumption has been difficult to test because the reconstruction of the synaptic connectivity of a neuronal circuit - its "wiring diagram" - is a major challenge.

Indeterminist physics for an open world

A physicist suggests that the mathematical language spoken by classical physics should be changed to make room for indeterminism and an open future. Classical physics is characterised by the precision of its equations describing the evolution of the world as determined by the initial conditions of the Big Bang - meaning there is no room for chance.

A physicist suggests that the mathematical language spoken by classical physics should be changed to make room for indeterminism and an open future. Classical physics is characterised by the precision of its equations describing the evolution of the world as determined by the initial conditions of the Big Bang - meaning there is no room for chance.

A new method for boosting the learning of mathematics

UNIGE researchers oversaw a new system of maths learning whose purpose is to promote the use of arithmetic formulas at an early age. After a year, they observed a leap in students' performance. How can mathematics learning in primary school be facilitated? A recent study conducted by the University of Geneva (UNIGE), Switzerland, had shown that our everyday knowledge strongly influences our ability to solve problems, sometimes leading us into making errors.

UNIGE researchers oversaw a new system of maths learning whose purpose is to promote the use of arithmetic formulas at an early age. After a year, they observed a leap in students' performance. How can mathematics learning in primary school be facilitated? A recent study conducted by the University of Geneva (UNIGE), Switzerland, had shown that our everyday knowledge strongly influences our ability to solve problems, sometimes leading us into making errors.

Could mathematics help to better treat cancer?

Using the information theory, researchers at UNIGE aim to better understand the cancerous development of cells through a mathematical approach and propose innovative therapeutic strategies. The development and survival of living beings are linked to the ability of their cells to perceive and respond correctly to their environment.

Using the information theory, researchers at UNIGE aim to better understand the cancerous development of cells through a mathematical approach and propose innovative therapeutic strategies. The development and survival of living beings are linked to the ability of their cells to perceive and respond correctly to their environment.

With Giotto, artificial intelligence gets a third dimension

The Giotto project, launched by EPFL startup Learn to Forecast, intends to revolutionize the way we use artificial intelligence. Drawing on the science of shapes, Giotto pushes AI forward by making it more reliable and intuitive in areas such as materials science, neuroscience and biology. Giotto is open-source and available free of charge on GitHub, and it's already being used by some EPFL scientists.

The Giotto project, launched by EPFL startup Learn to Forecast, intends to revolutionize the way we use artificial intelligence. Drawing on the science of shapes, Giotto pushes AI forward by making it more reliable and intuitive in areas such as materials science, neuroscience and biology. Giotto is open-source and available free of charge on GitHub, and it's already being used by some EPFL scientists.

Jeanne Calment was indeed the oldest human being

By combining epidemiology, mathematical modelling and historical investigation, researchers in Geneva, Switzerland and France confirm Jeanne Calment's exceptional longevity, invalidating the conspiracy theories surrounding her. Jeanne Calment, who passed away in 1997 at 122 years and 165 days, still is today the human being who had the longest life.

By combining epidemiology, mathematical modelling and historical investigation, researchers in Geneva, Switzerland and France confirm Jeanne Calment's exceptional longevity, invalidating the conspiracy theories surrounding her. Jeanne Calment, who passed away in 1997 at 122 years and 165 days, still is today the human being who had the longest life.

Expert mathematicians stumped by simple subtractions

UNIGE researchers have shown that our general knowledge about the world interferes with our ability to solve basic mathematical problems, even among experts in the field. Mathematical thought is seen as the pinnacle of abstract thinking.

UNIGE researchers have shown that our general knowledge about the world interferes with our ability to solve basic mathematical problems, even among experts in the field. Mathematical thought is seen as the pinnacle of abstract thinking.

Simulating quantum systems with neural networks

A new computational method, based on neural networks, can simulate open quantum systems with unprecedented versatility. The method was independently developed by physicists at EPFL, France, the UK, and the US, and is published in Physical Review Letters. Even on the scale of everyday life, nature is governed by the laws of quantum physics.

A new computational method, based on neural networks, can simulate open quantum systems with unprecedented versatility. The method was independently developed by physicists at EPFL, France, the UK, and the US, and is published in Physical Review Letters. Even on the scale of everyday life, nature is governed by the laws of quantum physics.

Researchers crack an enduring physics enigma

Researchers from EPFL have found the mechanism that lies behind a mysterious physics phenomenon in fluid mechanics: the fact that turbulence in fluids spontaneously self-organizes into parallel patterns of oblique turbulent bands - an example of order emerging spontaneously from chaos. In so doing, they solved a problem that had stumped generations of physicists.

Researchers from EPFL have found the mechanism that lies behind a mysterious physics phenomenon in fluid mechanics: the fact that turbulence in fluids spontaneously self-organizes into parallel patterns of oblique turbulent bands - an example of order emerging spontaneously from chaos. In so doing, they solved a problem that had stumped generations of physicists.

An old neuroscience problem

Researchers from EPFL explain how the shapes of neurons can be classified using mathematical methods from the field of algebraic topology. Neuroscientists can now start building a formal catalogue for all the types of cells in the brain. Onto this catalogue of cells, they can systematically map the function and role in disease of each type of neuron in the brain.

Researchers from EPFL explain how the shapes of neurons can be classified using mathematical methods from the field of algebraic topology. Neuroscientists can now start building a formal catalogue for all the types of cells in the brain. Onto this catalogue of cells, they can systematically map the function and role in disease of each type of neuron in the brain.

Concurrent hot and dry summers more common in future

In the past, climate scientists have tended to underestimate the risk of a co-occurrence of heatwave and drought.

In the past, climate scientists have tended to underestimate the risk of a co-occurrence of heatwave and drought.

A new tool for discovering nanoporous materials

EPFL scientists have developed a mathematical ‘face-recognition' method for identifying and discovering nanoporous materials based on their pore size. Image: Topological differences of top-performing materials for methane storage. Topological data analysis reveals the similarity between structures; each node represents a family of similar materials, while a network between two nodes indicates that they share at least one material.

EPFL scientists have developed a mathematical ‘face-recognition' method for identifying and discovering nanoporous materials based on their pore size. Image: Topological differences of top-performing materials for methane storage. Topological data analysis reveals the similarity between structures; each node represents a family of similar materials, while a network between two nodes indicates that they share at least one material.

Taming complexity

Quantum systems consisting of many particles are a major challenge for physicists, since their behaviour can be determined only with immense computational power. ETH physicists have now discovered an elegant way to simplify the problem. Classical physics offers a relatively easy approach to describing how objects move in our everyday world.

Quantum systems consisting of many particles are a major challenge for physicists, since their behaviour can be determined only with immense computational power. ETH physicists have now discovered an elegant way to simplify the problem. Classical physics offers a relatively easy approach to describing how objects move in our everyday world.

From chance to order

In Nymphenburg on Friday, the ETH probabilist Wendelin Werner was awarded the Heinz Gumin Prize, the highest-value mathematics prize in Germany.

In Nymphenburg on Friday, the ETH probabilist Wendelin Werner was awarded the Heinz Gumin Prize, the highest-value mathematics prize in Germany.

Mapping a fixed point

For fifty years, mathematicians have grappled with the so-called “fixed point” theorem. A team has now found an elegant, one-page solution that opens up new perspectives in physics and economics. Take a map of the world. Now put it down on the ground in Central Park, against a rock on Mount Everest, or on your kitchen table; there will always be a point on the map that sits exactly on the actual physical place it represents.

For fifty years, mathematicians have grappled with the so-called “fixed point” theorem. A team has now found an elegant, one-page solution that opens up new perspectives in physics and economics. Take a map of the world. Now put it down on the ground in Central Park, against a rock on Mount Everest, or on your kitchen table; there will always be a point on the map that sits exactly on the actual physical place it represents.

New record in the area of prime number decomposition of cryptographically important numbers

An international team of scientistshas obtained the prime factors of the RSA challenge number RSA-768, using the Number Field Sieve.

An international team of scientistshas obtained the prime factors of the RSA challenge number RSA-768, using the Number Field Sieve.