In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

The US National Institute for Standards and Technology (NIST) has been pushing for the development of post-quantum cryptographic algorithms since 2016. "If large-scale quantum computers are ever built ...

Article subjects are automatically applied from the ACS Subject Taxonomy and describe the scientific concepts and themes of the article. To evaluate the defect formation energies, first-principles ...

NDA Syllabus 2024: The Union Public Service Commission (UPSC) National Defence Academy (NDA) includes the topics from GAT and Mathematics. Some of the important topics are Integral Calculus, Vector ...

There are three kinds of prime numbers. The first is a solitary outlier: 2, the only even prime. After that, half the primes leave a remainder of 1 when divided by 4. The other half leave a remainder ...

The critical brain hypothesis has been confirmed experimentally many times since the pioneering electrode experiments in [1]. Power law (PL) distributed neuronal avalanches were shown in neuronal ...

Cancer cells normally grow on soft surfaces due to impaired mechanosensing of the extracellular matrix rigidity. Upon restoration of proper mechanosensing, cancer cells undergo apoptosis on soft ...

Mechanical structures combining rigid elements, like rods and bone, with flexible ones, like cables and membranes, are ubiquitous across a wide range of scales in natural and engineered systems. We ...

† Advanced Composites Centre for Innovation and Science (ACCIS), Department of Aerospace Engineering, University of Bristol, Queen’s Building, University Walk, Bristol BS8 1TR, U.K. ‡ HH Wills Physics ...