/explore
|
You are here 
|
www.quantamagazine.org | ||
| | | | |
andrea.corbellini.name
|
|
| | | | | [AI summary] This blog post provides a technical introduction to elliptic curves, explaining their mathematical definition, the geometric and algebraic methods for point addition and scalar multiplication, and highlighting their foundational role in modern cryptography. | |
| | | | |
thatsmaths.com
|
|
| | | | | There are numerous branches of mathematics, from arithmetic, geometry and algebra at an elementary level to more advanced fields like number theory, topology and complex analysis. Each branch has its own distinct set of axioms, or fundamental assumptions, from which theorems are derived by logical processes. While each branch has its own flavour, character and... | |
| | | | |
cacm.acm.org
|
|
| | | | | [AI summary] The article discusses the ongoing evolution of the P vs NP problem in computational complexity theory, emphasizing its profound implications for algorithm design, cryptography, and artificial intelligence. It highlights how advances in machine learning and quantum computing are reshaping our understanding of computational limits, while also cautioning against the potential misuse of algorithms in areas like algorithmic bias and surveillance. The piece concludes by reflecting on the philosophical and practical significance of P vs NP, suggesting that its resolution could redefine the boundaries of what is computationally feasible. | |
| | | | |
haifengl.wordpress.com
|
|
| | | Generative artificial intelligence (GenAI), especially ChatGPT, captures everyone's attention. The transformerbased large language models (LLMs), trained on a vast quantity of unlabeled data at scale, demonstrate the ability to generalize to many different tasks. To understand why LLMs are so powerful, we will deep dive into how they work in this post. LLM Evolutionary Tree... | ||
