The Fugro fleet was armed with the best sonar, data, and expectations. The mission? To scour a deep-ocean corridor scientists claimed was almost certainly MH370’s final location. What followed became ...

ABSTRACT: The relationship between chance and determinism has been analyzed by philosophy, mathematics, and physics. With the aim of identifying the intersection between the two, the Law of ...

National Institutes of Health Director Dr. Jay Bhattacharya celebrated President Trump's executive order preventing the U.S. government from funding viral "gain-of-function" research in foreign ...

A courseware module that covers the fundamental concepts in probability theory and their implications in data science. Topics include probability, random variables, and Bayes' Theorem.

One of the biggest hurdles organizations face is implementing Large Language Models (LLMs) to handle intricate workflows effectively. Issues of speed, flexibility, and scalability often hinder the ...

This phase of the course is all about building up the basic apparatus. We’ve stated our axioms, and it might seem like they’re not very powerful. It’s our job now to show that, in fact, they’re ...

We’ve just finished the second week of my undergraduate Axiomatic Set Theory course, in which we’re doing Lawvere’s Elementary Theory of the Category of Sets but without mentioning categories. This ...

Ask the publishers to restore access to 500,000+ books. A line drawing of the Internet Archive headquarters building façade. An illustration of a heart shape "Donate to the archive" An illustration of ...

1 School of Foreign Studies, Nanjing University of Science of Technology, Nanjing, China 2 Department of Chinese and Bilingual Studies, Hong Kong Polytechnic University, Kowloon, Hong Kong SAR, China ...

The section defines the set Ψ1 and establishes key inequalities (3.4, 3.5, 3.6) using lemmas and Cauchy's inequality, crucial for understanding Dirichlet L-functions. the implied constant depending on ...