Can you chip in? This year we’ve reached an extraordinary milestone: 1 trillion web pages preserved on the Wayback Machine. This makes us the largest public repository of internet history ever ...

This book offers an introduction to mathematical proofs and to the fundamentals of modern mathematics. No real prerequisites are needed other than a suitable level of mathematical maturity. The text ...

how to use open-r1 project to get this model. I find "max_position_embeddings" of Qwen2.5-Math-7B-Instruct is 4096, and "rope_theta" is 10000.0, but in OpenR1-Qwen-7B, "max_position_embeddings" is ...

A spectrometer is a pretty common lab instrument, useful for determining the absorbance of a sample across a spectrum of light. The standard design is simple; a prism or diffraction grating to break ...

ABSTRACT: We primarily provide several estimates for the heat kernel defined on the 2-dimensional simple random walk. Additionally, we offer an estimate for the heat kernel on high-dimensional random ...

We draw six conclusions from the data. First, 198 of the 199 degrees analyzed require discrete math be taken at some point in the degree. i However, the results shown in Table 2 illustrate that there ...

The Notes app in iOS and iPadOS 18 could be in for a couple of big new features, according to a report by AppleInsider. iOS 18 is expected to be revealed at Apple’s Worldwide Developers Conference, ...

iOS 18 will add a few new features to the Notes app related to voice memos and mathematics, according to information obtained by AppleInsider. First, the report claims that iOS 18 will allow iPhone ...

In 2019, mathematicians finally solved one of the hardest math problems—one that had stumped them for decades. It’s called a Diophantine Equation, and it’s sometimes known as the “summing of three ...

Abstract: This article deals with the trajectory tracking problem of a class of switched systems, whose dynamic matrixes are periodic with respect to a parameter $\theta$ that can be a time- or ...