ABSTRACT: The Riemann Zeta function ζ( s ) has many different representations. In this paper, we derive several new integral representations of the Zeta function using the inverse Mellin transform and ...

Numbers like pi, e and phi often turn up in unexpected places in science and mathematics. Pascal's triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there's the ...

From fine-tuning open source models to building agentic frameworks on top of them, the open source world is ripe with ...

If you use consumer AI systems, you have likely experienced something like AI "brain fog": You are well into a conversation ...

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...

Which IIT First introduced B.Tech in Artificial Intelligence? Discover how this IIT changed engineering careers, and how it ...

Many developers share their LeetCode solutions on GitHub. Look for repositories that are well-organized by topic or problem number, have clear explanations, and show good code quality. Some popular ...

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Foundational Concepts in Programming Industrial Robots. Before you can get a robot to do anything useful, you need to ...