Mathematical

In celebration of the mathematical constant pi, JPL is releasing the annual NASA Pi Day Challenge: a set of illustrated math problems involving real-world science and engineering aspects of agency missions. Credit: NASA/JPL-Caltech March 14 marks the annual celebration of the mathematical constant pi, aka the Greek letter π. Its infinite number of digits is usually rounded to 3.14, hence the date of Pi Day. For some people, the…

Drawing by a participant highlighting the cardinality of numbers by using sets of grouped elements (animals). This type of drawing is generally accompanied by a 3-step solution. Credit: Hippolyte Gros A team from the University of Geneva (UNIGE), in collaboration with CY Cergy Paris University (CYU) and University of Burgundy (uB), have analyzed drawings made by children and adults when solving simple problems. The scientists…

Baroque German composer Johann Sebastian Bach produced music that is so scrupulously structured that it’s often compared to math. Although few among us are emotionally affected by mathematics, Bach’s works—and music in general—moves us. It’s more than sound; it’s a message. And now, thanks to tools from information theory, researchers are starting to understand how Bach’s music gets that message across.By representing scores as simple networks of dots, called nodes, connected by lines, called edges, scientists quantified…

Credit: Unsplash/CC0 Public Domain Researchers from the University of Oulu, Finland, investigated how air pollution affects students' performance in matriculation exams, particularly in mathematical subjects. The study revealed that performance declines in exams involving thinking and memorization when fine particulate matter (PM2.5) levels in the school's vicinity increase even slightly. …

Comparison of innovation front number n(0) approximations. Credit: Proceedings of the National Academy of Sciences (2024). DOI: 10.1073/pnas.2312468120 In Lewis Carroll's Through the Looking-Glass, the Red Queen tells Alice, "It takes all the running you can do, to keep in the same place." The race between innovation and obsolescence is like this. …

Is being able to build and train machine learning models from popular libraries sufficient for machine learning users? Probably not for too long. With tools like AutoAI on the rise, it is likely that a lot of the very traditional machine learning skills like building model architectures with common libraries like Pytorch will be less important.What is likely to persist is the demand for skilled users with a deep understanding of the underlying principles of ML, particularly in problems that require novel challenges,…

Credit: SciTechDaily.comOne of the fundamental and timeless questions of life concerns the mechanics of its inception. Take human development, for example: how do individual cells come together to form complex structures like skin, muscles, bones, or even a brain, a finger, or a spine?Although the answers to such questions remain unknown, one line of scientific inquiry lies in understanding gastrulation — the stage at which embryo cells develop from a single layer to a multidimensional structure with a main body axis. In…

Transforming Backpropagation’s Complex Math into Manageable and Easy-to-Learn BitesContinue reading on Towards Data Science » Transforming Backpropagation’s Complex Math into Manageable and Easy-to-Learn BitesContinue reading on Towards Data Science » FOLLOW US ON GOOGLE NEWS Read original article here Denial of responsibility! Techno Blender is an automatic aggregator of the all world’s media. In each content, the hyperlink to the primary source is specified. All trademarks belong to their…

Researchers taking part in the Human Brain Project have identified a mathematical rule that governs the distribution of neurons in our brains.The rule predicts how neurons are distributed in different parts of the brain, and could help scientists create precise models to understand how the brain works and develop new treatments for neurological diseases.In the wonderful world of statistics, if you consider any continuous random variable, the logarithm of that variable will often follow what's known as a lognormal…

Beginner’s practical guide to discrete optimisation in PythonContinue reading on Towards Data Science » Beginner’s practical guide to discrete optimisation in PythonContinue reading on Towards Data Science » FOLLOW US ON GOOGLE NEWS Read original article here Denial of responsibility! Techno Blender is an automatic aggregator of the all world’s media. In each content, the hyperlink to the primary source is specified. All trademarks belong to their rightful owners, all materials to their authors.…