We call the collection of possible outcomes for an experiment or trial the sample space, often written as \(\varepsilon\) (and sometimes as \(S\)). In probability, an event is a collection of one or ...

PROF. USPENSKY'S treatise on mathematical probability is a very comprehensive one and includes every theoretical aspect of the subject, with several chapters on modern developments. Only those ...

Abstract: Fast method of compound event probability calculation based on binary tree is presented for large-scale systems with two-state components. According to the principle of binary decision ...

Vice President Kamala Harris’s presidential campaign has wasted no time courting young voters, quickly posting memes about Venn diagrams, “brat” summer and viral Harris quotes to appeal to Gen-Z’s ...

At present, the global urbanization process is accelerating, with the climate changing constantly and extreme weather increasing. In this background, urban flood disasters caused by rainstorms ...

Football has often been described as a game won in the trenches. For years, however, quantifying the performance of individual blockers and pass rushers remained a challenge. Traditional statistics ...

The classic and trusted book “Fifty Common Trees of Indiana” by T.E. Shaw was published in 1956 as a user-friendly guide to local species. Nearly 70 years later, the publication has been updated ...

We sought to verify the reliability of machine learning (ML) in developing diabetes prediction models by utilizing big data. To this end, we compared the reliability of gradient boosting decision tree ...

Episode two of the Game of Thrones prequel series House of the Dragon featured our first look at the show’s title sequence, which was hotly anticipated, given how iconic the original series’ intro was ...