Recently, there has been a lot of hullabaloo about the idea that large reasoning models (LRM) are unable to think. This is mostly due to a research article published by Apple, "The Illusion of ...

The uncertainty inherent to quantum mechanics has long left physicists wondering whether the observations we make on the ...

Ramanujan's formula, derived by the mathematician in 1914 when quantum theory hadn't been formulated fully, provides a faster method for calculating physical phenomena, researchers found.

In statistics, the score function is the gradient of the log-likelihood function with respect to the parameters, used to measure the sensitivity of the likelihood function to the parameters. The score ...

The FIND function allows you to find a text string within another. It returns the position at which a character or string begins within another text string. The output of the above function will be 5, ...

Abstract: In this article, simplified and easy-to-work-with equations for the Lambert W-function are derived. This function is widely used to solve equations related to photovoltaic systems. More ...

ABSTRACT: In this paper, we consider a more general bi-level optimization problem, where the inner objective function is consisted of three convex functions, involving a smooth and two non-smooth ...

Industrial organizations are racing to implement AI, yet many struggle to demonstrate concrete value from their investments. The missing element isn't better algorithms or more data; it's clarity ...

The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...